california standards review series mastering the ... the root of a perfect square ... prism with a...

Mastering the California Mathematics Standards

Grade 7

ReviewerEvelyn R. Brown, Ed.D.

Rockway Middle SchoolLos Angeles, California

California Standards Review Series

CA©08_Gr7_Flipbook_TP_A_879533-81 1CA©08_Gr7_Flipbook_TP_A_879533-81 1 2/19/07 4:26:58 PM2/19/07 4:26:58 PM

Copyright © by The McGraw-Hill Companies, Inc. All rights reserved. Except as permitted under the United States Copyright Act, no part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without prior permission of the publisher.

Send all inquiries to:Glencoe/McGraw-Hill8787 Orion PlaceColumbus, OH 43240-4027

ISBN: 978-0-07-879533-6MHID: 0-07-879533-8 Mastering the California Mathematics Standards, Grade 7

Printed in the United States of America.

1 2 3 4 5 6 7 8 9 10 024 15 14 13 12 11 10 09 08 07

Image Credits: COVER (l c r)CORBIS; i (l c r)CORBIS

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Mastering the California Mathematics Standards, Grade 7 Aiii

Contents

California Mathematics Standards, Grade 7 . . . . . . . . . . . . . . . . . . . Aiv

Diagnostic Test—Student Recording Sheet . . . . . . . . . . . . . . . . . . . . Aix

Diagnostic Test—Student Answer Sheet . . . . . . . . . . . . . . . . . . . . . A1

Diagnostic Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . A3

Practice by Standards

Number Sense (Rational Numbers) . . . . . . . . . . . . . . . . . . . . . . A15

Number Sense (Exponents, Powers, and Roots) . . . . . . . . . . . . . . . A24

Algebra and Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . A31

Measurement and Geometry . . . . . . . . . . . . . . . . . . . . . . . . . A47

Statistics, Data Analysis, and Probability . . . . . . . . . . . . . . . . . . . A61

Standards Assessment—Student Answer Sheet . . . . . . . . . . . . . . . . . A65

Standards Assessment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . A67

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Aiv Mastering the California Mathematics Standards, Grade 7

California Mathematics Standards, Grade 7

= Key Standard * = standard assessed on the CAHSEE

Number Sense

1.0 Students know the properties of, and compute with, rational numbers expressed in a variety of forms:

1.1* Read, write, and compare rational numbers in scientific notation (positive and

negative powers of 10) with approximate numbers using scientific notation.

1.2* Add, subtract, multiply, and divide rational numbers (integers, fractions,

and terminating decimals) and take positive rational

numbers to whole-number powers.

1.3* Convert fractions to decimals and percents and use these

representations in estimations, computations, and applications.

1.4 Differentiate between rational and irrational numbers.

1.5 Know that every rational number is either a terminating or repeating decimal

and be able to convert terminating decimals into reduced fractions.

1.6* Calculate the percentage of increases and decreases of a quantity.

1.7* Solve problems that involve discounts, markups, commissions, and profit

and compute simple and compound interest.

2.0 Students use exponents, powers, and roots and use exponents in working with fractions:

2.1* Understand negative whole-number exponents. Multiply and divide

expressions involving exponents with a common base.

2.2* Add and subtract fractions by using factoring to find common

denominators.

2.3* Multiply, divide, and simplify rational numbers by using exponent rules.

2.4* Use the inverse relationship between raising to a power and

extracting the root of a perfect square integer; for an integer that is not

square, determine without a calculator the two integers between which its

square root lies and explain why.

2.5* Understand the meaning of the absolute value of a number; interpret the

absolute value as the distance of the number from zero on a number line;

and determine the absolute value of real numbers.

Algebra and Functions

1.0 Students express quantitative relationships by using algebraic terminology, expressions, equations, inequalities, and graphs:

1.1* Use variables and appropriate operations to write an expression, an equation,

an inequality, or a system of equations or inequalities that represents a verbal

description (e.g., three less than a number, half as large as area A).

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Mastering the California Mathematics Standards, Grade 7 Av

1.2* Use the correct order of operations to evaluate algebraic expressions such

as 3(2x + 5)2.

1.3 Simplify numerical expressions by applying properties of rational numbers

(e.g., identity, inverse, distributive, associative, commutative) and justify the

process used.

1.4 Use algebraic terminology (e.g., variable, equation, term, coefficient,

inequality, expression, constant) correctly.

1.5* Represent quantitative relationships graphically and interpret the meaning

of a specific part of a graph in the situation represented by the graph.

2.0 Students interpret and evaluate expressions involving integer powers and simple roots:

2.1* Interpret positive whole-number powers as repeated multiplication and

negative whole-number powers as repeated division or multiplication by

the multiplicative inverse. Simplify and evaluate expressions that include

exponents.

2.2* Multiply and divide monomials; extend the process of taking powers and

extracting roots to monomials when the latter results in a monomial with

an integer exponent.

3.0 Students graph and interpret linear and some nonlinear functions:

3.1* Graph functions of the form y = nx2 and y = nx3 and use in solving

problems.

3.2 Plot the values from the volumes of three-dimensional shapes for various

values of the edge lengths (e.g., cubes with varying edge lengths or a triangle

prism with a fixed height and an equilateral triangle base of varying lengths).

3.3* Graph linear functions, noting that the vertical change (change in y-value)

per unit of horizontal change (change in x-value) is always the same and

know that the ratio (“rise over run”) is called the slope of a graph.

3.4* Plot the values of quantities whose ratios are always the same (e.g., cost

to the number of an item, feet to inches, circumference to diameter of a

circle). Fit a line to the plot and understand that the slope of the line

equals the quantities.

4.0 Students solve simple linear equations and inequalities over the rational numbers:

4.1* Solve two-step linear equations and inequalities in one variable over the

rational numbers, interpret the solution or solutions in the context from

which they arose, and verify the reasonableness of the results.

4.2* Solve multistep problems involving rate, average speed, distance, and time

or a direct variation.

California Mathematics Standards, Grade 7 (continued)

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Avi Mastering the California Mathematics Standards, Grade 7

Measurement and Geometry

1.0 Students choose appropriate units of measure and use ratios to convert within and between measurement systems to solve problems:

1.1* Compare weights, capacities, geometric measures, times, and temperatures

within and between measurement systems (e.g., miles per hour and feet

per second, cubic inches to cubic centimeters)

1.2* Construct and read drawings and models made to scale.

1.3* Use measures expressed as rates (e.g., speed, density) and measures

expressed as products (e.g., person-days) to solve problems; check the

units of the solutions; and use dimensional analysis to check the

reasonableness of the answer.

2.0 Students compute the perimeter, area, and volume of common geometric objects and use the results to find measures of less common objects. They know how perimeter, area, and volume are affected by changes of scale:

2.1* Use formulas routinely for finding the perimeter and area of basic

two-dimensional figures and the surface area and volume of basic three-

dimensional figures, including rectangles, parallelograms, trapezoids,

squares, triangles, circles, prisms, and cylinders.

2.2* Estimate and compute the area of more complex or irregular two-and

three-dimensional figures by breaking the figures down into more basic

geometric objects.

2.3* Compute the length of the perimeter, the surface area of the faces, and the

volume of a three-dimensional object built from rectangular solids.

Understand that when the lengths of all dimensions are multiplied by a scale

factor, the surface area is multiplied by the square of the scale factor and the

volume is multiplied by the cube of the scale factor.

2.4* Relate the changes in measurement with a change of scale to the units

used (e.g., square inches, cubic feet) and to conversions between units

(1 square foot = 144 square inches or [1 ft2] = [144 in2], 1 cubic inch is

approximately 16.38 cubic centimeters or [1 in3] = [16.38 cm3]).

3.0 Students know the Pythagorean theorem and deepen their understanding of plane and solid geometric shapes by constructing figures that meet given conditions and by identifying attributes of figures:

3.1 Identify and construct basic elements of geometric figures (e.g., altitudes,

mid-points, diagonals, angle bisectors, and perpendicular bisectors; central

angles, radii, diameters, and chords of circles) by using a compass and

straightedge.


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Mastering the California Mathematics Standards, Grade 7 Avii

3.2* Understand and use coordinate graphs to plot simple figures, determine

lengths and areas related to them, and determine their image under

translations and reflections.

3.3* Know and understand the Pythagorean theorem and its converse and use it

to find the length of the missing side of a right triangle and the lengths of

other line segments and, in some situations, empirically verify the

Pythagorean theorem by direct measurement.

3.4* Demonstrate an understanding of conditions that indicate two

geometrical figures are congruent and what congruence means about the

relationships between the sides and angles of the two figures.

3.5 Construct two-dimensional patterns for three-dimensional models, such as

cylinders, prisms, and cones. Not assessable in multiple-choice format on the Grade 7 CST.

3.6 Identify elements of three-dimensional geometric objects (e.g., diagonals

of rectangular solids) and describe how two or more objects are related in

space (e.g., skew lines, the possible ways three planes might intersect).

Statistics, Data Analysis, and Probability

1.0 Students collect, organize, and represent data sets that have one or more variables and identify relationships among variables within a data set by hand and through the use of an electronic spreadsheet software program:

1.1* Know various forms of display for data sets, including a stem-and-leaf plot

or box-and-whisker plot; use the forms to display a single set of data or to

compare two sets of data.

1.2* Represent two numerical variables on a scatterplot and informally describe

how the data points are distributed and any apparent relationship that

exists between the two variables (e.g., between time spent on homework

and grade level).

1.3 Understand the meaning of, and be able to compute, the minimum, the lower

quartile, the median, the upper quartile, and the maximum of a data set.

Mathematical Reasoning

1.0 Students make decisions about how to approach problems:

1.1* Analyze problems by identifying relationships, distinguishing relevant

from irrelevant information, identifying missing information, sequencing

and prioritizing information, and observing patterns.

1.2* Formulate and justify mathematical conjectures based on a general

description of the mathematical question or problem posed.

1.3 Determine when and how to break a problem into simpler parts.


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Aviii Mastering the California Mathematics Standards, Grade 7

2.0 Students use strategies, skills, and concepts in finding solutions:

2.1* Use estimation to verify the reasonableness of calculated results.

2.2 Apply strategies and results from simpler problems to more complex

problems.

2.3* Estimate unknown quantities graphically and solve for them by using

logical reasoning and arithmetic and algebraic techniques.

2.4* Make and test conjectures by using both inductive and deductive

reasoning.

2.5 Use a variety of methods, such as words, numbers, symbols, charts, graphs,

tables, diagrams, and models, to explain mathematical reasoning.

2.6 Express the solution clearly and logically by using the appropriate

mathematical notation and terms and clear language; support solutions with

evidence in both verbal and symbolic work.

2.7 Indicate the relative advantages of exact and approximate solutions to

problems and give answers to a specified degree of accuracy.

2.8 Make precise calculations and check the validity of the results from the

context of the problem.

3.0 Students determine a solution is complete and move beyond a particular problem by generalizing to other situations:

3.1 Evaluate the reasonableness of the solution in the context of the original

situation.

3.2 Note the method of deriving the solution and demonstrate a conceptual

understanding of the derivation by solving similar problems.

3.3* Develop generalizations of the results obtained and the strategies used and

apply them to new problem situations.

All Mathematical Reasoning Standards are embedded in the questions on the Grade 7 CST.


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Mastering the California Mathematics Standards, Grade 7 Aix

Diagnostic TestStudent Recording Sheet

QuestionStandard Assessed

Practice Page

1 7NS1.1 A15

2 7AF1.3 A33

3 7AF4.1 A43

4 7AF2.2 A38

5 7AF3.3 A41

6 7NS1.3 A18

7 7MG1.2 A49

8 7MG1.3 A49

9 7NS1.4 A19

10 7AF4.2 A45

11 7AF1.1 A31

12 7NS1.7 A22

13 7NS1.7 A22

14 7NS1.5 A20

15 7MG3.3 A57

16 7SDAP1.3 A63

17 7MG3.1 A55

18 7NS2.5 A29

19 7AF1.3 A18

20 7AF4.2 A45

21 7NS1.2 A16

22 7SDAP1.3 A63

23 7MG1.1 A47

24 7NS2.2 A25

25 7MG3.4 A59


Practice Page

26 7AF4.1 A43

27 7SDAP1.1 A61

28 7AF3.4 A42

29 7NS1.2 A16

30 7MG3.3 A57

31 7AF1.3 A33

32 7NS2.4 A28

33 7NS1.7 A22

34 7AF4.1 A43

35 7NS2.3 A26

36 7MG1.3 A49

37 7NS1.6 A21

38 7MG3.6 A60

39 7NS2.1 A24

40 7SDAP1.2 A62

41 7AF4.2 A45

42 7AF4.2 A45

43 7MG3.2 A56

44 7MG3.3 A57

45 7NS1.2 A16

46 7AF1.5 A36

47 7AF3.3 A41

48 7NS1.7 A22

49 7NS1.2 A16

50 7MG2.4 A54

Color in the bubble for each question that you answered correctly on the Diagnostic Test. For each

question you did not answer correctly, your teacher may ask you to do the exercises on the practice sheet

prescribed.

(continued on the next page)

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Ax Mastering the California Mathematics Standards, Grade 7


Practice Page

51 7AF1.2 A32

52 7MG2.2 A52

53 7AF1.3 A33

54 7NS2.3 A26

55 7NS2.3 A26

56 7AF3.4 A42

57 7SDAP1.3 A63

58 7AF1.4 A35


Practice Page

59 7AF2.1 A37

60 7MG2.3 A53

61 7NS2.5 A29

62 7MG2.1 A51

63 7AF4.1 A43

64 7AF3.1 A39

65 7AF3.2 A40

Total Number of Questions CorrectCount how many questions you got correct.

Find your score in the table below and circle your level.

Far Below Below Basic Basic Proficient Advanced

0–16 17–36 37–45 46–55 56–65

Diagnostic TestStudent Recording Sheet (continued)

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Diagnostic TestStudent Answer Sheet

Mastering the California Mathematics Standards, Grade 7 A1

Record your answers by coloring in the appropriate bubble for the best answer to each question.

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O

-2-3-4

21 43-2-3-4

1234

y

x

(1,4)

(-1, -2)


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Name Date

Diagnostic Test

1 Which of the following is equivalent to 2.6 × 104?

A 0.000026

B 26,000

C 260,000

D 2,600,000

2 Which property is used in the equation below?

15 - 5x = 5 (3 - x)

F Associative Property of Addition

G Commutative Property of Addition

H Commutative Property of Multiplication

J Distributive Property

3 What value of x makes the equation below true?

2x + 5 = 37

A 16

B 21

C 30

D 40

4 Which expression is equivalent to 9a5 _

3a7 ?

F 3a2 H a2

_ 3

G 3 _

a2 J

1 _

3 a2

5 What is the slope of the following line?

A -3 C 5 _

3

B 1 _

3 D 3

6 A store is having a sale, and all items

are 1 _ 5 off their original prices. Which of

the following represents the discount on

a shirt that originally cost $35?

F 0.02 × $35

G 0.05 × $35

H 0.2 × $35

J 0.5 × $35

7 The scale on a map states that 1 inch represents 5 miles. If two towns on the map are 8.5 inches apart, how far apart are the towns in real life?

A 13.5 miles

B 42.5 miles

C 135 miles

D 425 miles


A4 Mastering the California Mathematics Standards, Grade 7

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8 Amanda is running a 10-mile race. For the first 6 miles, she runs at a rate of 7 minutes per mile. For the last 4 miles, she runs at a rate of 8 minutes per mile. What is the total time that it takes Amanda to finish the race?

F 70 minutes

G 74 minutes

H 75 minutes

J 76 minutes

9 Which of the following numbers is irrational?

A √ � 25

B √ � 15

C 7 _

8

D -4

10 A fish swims 4 miles per hour for 2 hours, and then swims 6 miles per hour for 3 hours. How far has the fish swum in all?

F 4 miles

G 10 miles

H 15 miles

J 26 miles

11 The product of 15 and some number (x) is 45. Which equation shows this relationship?

A x + 15 = 45

B 45x = 15

C 15x = 45

D x - 15 = 45

12 Nick deposits $20.00 into a savings account that earns 4% interest compounded annually. Assuming Nick makes no withdrawals, how much should Nick have in his account after three years (to the nearest penny) ?

F $21.63

G $22.40

H $22.50

J $54.88

13 A shirt that originally costs $60.00 is on sale for 15% off. As a special promotion, the store is offering the shirt at 20% off the discounted price. What is the final cost of the shirt?

A $51.00

B $48.00

C $40.80

D $39.00

Diagnostic Test (continued)


25 feet

7 feet

?


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Name Date

14 Which of the following fractions is equal to 2.36?

F 118

_ 5

G 59

_ 25

H 59

_ 50

J 59

_ 250

15 A 25-foot ladder is placed 7 feet from the base of a wall. How high up the wall can the ladder reach?

A √ � 24 feet

B 18 feet

C 24 feet

D √ �� 674 feet

16 A group of ten students are asked how many brothers and sisters they have: three students have no brothers or sisters; two have one; four students have two; and one student has four. What is the upper quartile of these data?

F 0.0

G 1.5

H 2.0

J 4.0

17 Which of the following describes the relationship of

−− AD to �ABC?

A −−

AD is the median from A.

B −−

AD is the angle bisector of ∠BAC.

C −−

AD is the altitude from A.

D −−

AD is the perpendicular bisector of −−

BC .

18 ⎪3 + 1⎥ - ⎪2 - 7⎥ =

F -9

G -5

H -1

J 5

19 Which of the following expressions is equivalent to 5x2 - 2x?

A x (5x - 2)

B 5x2 (x - 2)

C 5 (x - 2)

D 2x (x - 5)

20 Ahmed works for 4 hours and earns $32. At that rate, how long would he have to work to earn $400?

F 8 hours

G 12 hours

H 50 hours

J 100 hours



0 inches 10 inches 20 inches

Weekly Rainfall in Columbus

∠

55


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21 ( 3 _ 4 )

3 =

A 3 _

64 C

27 _

64

B 9 _

64 D

27 _

4

22 A certain group of fifteen students took a test: three students got 6 questions correct. Four got 7 questions correct, five got 8 questions correct, two got 9 questions right, and one got 10 questions right. What is the median of the scores?

F 10 H 8

G 9 J 7

23 Which of the following speeds is slowest?

A 50 meters per minute

B 2 meters per second

C 1500 centimeters per minute

D 20 centimeters per second

24 Which of the following is equal to 1 _ 3 + 1 _

4 ?

F 7 _

12

G 2 _

7

H 1 _

6

J 1 _

12

25 In the figure below, find the measure of ∠A.

A 35° C 125°

B 55° D 145°

26 What is the solution set to the inequality 7y - 6 > 15?

F {y | y > 28}

G {y | y > -3}

H {y | y < 3}

J {y | y > 3}

27 The box-and-whisker plot below represents the amount of weekly rainfall in Columbus during the spring.

What is the median weekly rainfall?

A 10 inches

B 14 inches

C 16 inches

D 20 inches



Tota

l Cos

t ($)

0 5 10 15 20

Number of Apples

10

8

6

4

2

Tota

l Cos

t ($)

0 5 10 15 20

Number of Apples

10

8

6

4

2

Tota

l Cos

t ($)

0 5 10 15 20

Number of Apples

10

8

6

4

2

Tota

l Cos

t ($)

0 5 10 15 20

Number of Apples

10

8

6

4

2

12

15


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28 Apples are being sold at a price of $2 for 5 apples. Which of the following graphs shows the relationship between the number of apples and the total cost?

F

G

H

J

29 5 _ 6 ÷ 2 _

3 =

A 9 _

5

B 5 _

4

C 4 _

5

D 5 _

9

30 Point D is the midpoint of −−

AC . Find the length of

−− AC .

F 2 √ �� 369

G 18

H 9

J 6

31 What property is shown in the equation below?

(2x + 3) + 4 = 2x + 7

A Associative Property of Addition

B Distributive Property

C Commutative Property of Addition

D Associative Property of Multiplication




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32 √ � 88 lies between which two integers?

F 7 and 8

G 8 and 9

H 9 and 10

J 10 and 11

33 Juan is a car salesman who earns a 7.5% commission on his monthly sales. Juan’s sales total for this month is $12,000. How much commission does he earn?

A $90

B $900

C $11,100

D $12,900

34 What is the value of x if -5x + 11 = -4?

F -10

G -3

H 3

J 12

35 (26) 4

_ 22

=

A 222

B 212

C 28

D 25

36 A certain construction project will take 120 hours of work to complete. The construction team is composed of 4 members, each of whom works 6 hours per day. How many days will it take for the team to complete the project?

F 5

G 12

H 20

J 30

37 Concert tickets that normally cost $45 each are 15% off if they are purchased in advance. How much do the tickets cost if they are purchased in advance?

A $6.75

B $38.25

C $44.33

D $51.75

38 Which of the following is a diagonal of the cube pictured below?

F −−

AF

G −−

CD

H −−

DF

J −−

AB



y

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Amount of TimeSpent Studying

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39 Which of the following is equal to 5-3 × 52?

A -5 C 1 _

25

B 5-6 D 1 _

5

40 The scatter plot below shows the amount of time the students in a certain class spend studying, as well as each student’s average grade.

Which statement best describes the relationship between time spent studying and average grade shown on the scatter plot?

F As a student’s time spent studying

increases, his or her average

grade decreases.

G As a student’s time spent studying

increases, his or her average

grade increases.

H As a student’s time spent studying

increases, his or her average grade

increases at first and then decreases.

J As a student’s time spent studying

increases, his or her average grade

decreases at first, and then increases.

41 If a train from Chicago to Cleveland travels for 120 miles at an average speed of 30 miles per hour, and travels the remaining 180 miles at an average speed of 60 miles per hour, how long should the entire trip take?

A 3.3 hours

B 4.0 hours

C 7.0 hours

D 10.0 hours

42 The distance a spring stretches varies directly with the force applied to it. If a spring stretches 21.6 inches when a 6-pound weight is hung on it, how far will the spring stretch with a 2-pound weight?

F 3.6 inches

G 7.2 inches

H 10.8 inches

J 64.8 inches

43 What is the area of triangle ABC?

A 9 square units

B 10 square units

C 15 square units

D 20 square units



O

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0 1 2 3 4 5 6 7 8 9 10

Songs Purchased

20

18

16

14

12

10

8

6

4

2


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44 The dimensions of the screen on a portable DVD player are 10 inches by 6 inches. Find the length of the diagonal of the screen.

F √ � 60 in. H

√ �� 136 in.

G 8 in. J 16 in.

45 Anita bought 6 CDs at a total cost of $67.68. Each CD was the same price. How much did each CD cost?

A $10.28 C $14.68

B $11.28 D $61.68

46 The graph below represents the monthly cost for a digital music download store. There is a monthly subscription fee and a charge for each song purchased. Based on the information in the graph, which statement is true?

F The cost of a song is $10.

G The monthly subscription fee is $1.

H The monthly subscription fee is $15.

J The cost of a song is $1.

47 Which best represents the graph of y = 0.5x - 3?

A

B

C

D



45

8

6


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48 A shoe store purchases shoes from a supplier at a cost of $50 per pair. The store then marks up the price by 12% before selling the shoes. If the shoe store sells 20 pairs of shoes, how much profit has the store earned?

F $6

G $12

H $60

J $120

49 Jamar bought 2 books for $9.95 each and 5 magazines for $3.25 each. What was the total cost for his purchases?

A $13.20

B $19.90

C $26.20

D $36.15

50 A room is 11 meters in length and 6 meters in width. How many square centimeters is the room?

F 66

G 6,600

H 66,000

J 660,000

51 If x = 3, then 3(2x - 3)2 =

A 0

B 27

C 81

D 225

52 Find the area of the shape below.

F 32 units2

G 54 units2

H 60 units2

J 63 units2

53 Which of the following expressions is equivalent to 6(3 + 2 × 4)?

A 26

B 48

C 66

D 120

54 (23 × 32)

_ (3 × 26)

=

F 3 _

8 H

9 _

8

G 3 _

4 J

9 _

4



Tota

l Cos

t

0 1 2 3 4 5

Number of Hours

$20

$16

$12

$8

$4

6 inches

4 inches

12 inches


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55 Which of the following is equal to 35 × 93?

A 330

B 313

C 311

D 310

56 The graph below shows the relationship between the total cost of renting a boat at Sparrow Lake and the number of hours the boat is used. How much does it cost per hour to rent the boat?

F $0.25

G $1.00

H $4.00

J $20.00

57 The following data represent the ages of different students in a school.

11, 12, 13, 14, 15, 16, 17

These data are shown on the box-and-whisker plot below.

What is the median of the data?

A 12

B 14

C 16

D 17

58 In the expression 3x2 + 6y, which number is the coefficient of x2?

F 2 H 6

G 3 J 9

59 Which expression below has the same value as x-3?

A -3x C 1 _ x ×

1 _ x ×

1 _ x

B 3 _ x D -x3

60 What is the surface area of the rectangular solid shown below?

F 88 in2

G 144 in2

H 178 in2

J 288 in2

61 Which of the following values is largest?

A ⎪11⎥

B ⎪-28⎥

C ⎪24⎥

D ⎪-12⎥



20 in.

15 in.

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y

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O

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y

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O

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62 Point D is the midpoint of −−

AC . Find the perimeter of �ABC.

F 60 inches

G 65 inches

H 80 inches

J 120 inches

63 Miguel wants to save $56 to buy a new skateboard. He already has $21, and he can earn $5 per hour shoveling snow for his neighbor. If the equation below shows this relationship, how many hours must Miguel work to have the money he needs?

5h + 21 = 56

A 7

B 16

C 30

D 72

64 Which of the following graphs shows y = -x3?

F

G

H

J



Volu

me

0 1 2 3 4 5

Side Length

25

20

15

10

5

Volu

me

0 1 2 3 4 5

Side Length

150

125

100

75

50

25

Volu

me

0 1 2 3 4 5

Side Length

25

20

15

10

5

Volu

me

0 1 2 3 4 5

Side Length

25

20

15

10

5


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65 Which of the following shows the graph of the relationship between the side length of a cube and the volume of that same cube?

A

B

C

D




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7NS1.1 Read, write, and compare rational numbers in scientific notation (positive and negative powers of 10) with approximate numbers using scientific notation.

1 What is 7.85 × 105 in standard notation?

A 7,850

B 78,500

C 785,000

D 7,850,000

2 Which of the following shows 1,230,000 in scientific notation?

F 1.23 × 104

G 1.23 × 105

H 1.23 × 106

J 1.23 × 107

3 Last year, 8.35 × 103 people visited the local historical museum. What is 8.35 × 103 in standard notation?

A 8,350

B 83,500

C 835,000

D 8,350,000

4 Which of the following shows 0.0536 in scientific notation?

F 5.36 × 10-2

G 5.36 × 10-1

H 5.36 × 101

J 5.36 × 102

5 A total of 830,000 people went to rock concerts last year. Which of the following shows this number in scientific notation?

A 8.3 × 103

B 8.3 × 104

C 8.3 × 105

D 8.3 × 106

6 What is 1.002 × 10-3 in standard notation?

F 0.0001002

G 0.001002

H 100.2

J 1002

7 Which of the following shows 9,999 in scientific notation?

A 9.99 × 103

B 99.99 × 102

C 9.999 × 103

D 0.999 × 104

8 Which of the following shows 0.0000166 in scientific notation?

F 166 × 10-7

G 1.66 × 10-5

H 1.66 × 105

J 1.66 × 10-6

Practice by StandardNumber Sense 1.1

A15–A64_Gr7_PS-879533-8.indd 15A15–A64_Gr7_PS-879533-8.indd 15 2/19/07 2:59:32 PM2/19/07 2:59:32 PM


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7NS1.2 Add, subtract, multiply, and divide rational numbers (integers, fractions, and terminating decimals) and take positive rational numbers to whole-number powers.

1 Cathy bought 4 pairs of shorts for $38.60. If the 4 pairs of shorts cost the same amount, what was the cost of each pair of shorts?

A $7.95

B $8.55

C $9.55

D $9.65

2 ( 4 _ 5 )

3 =

F 12

_ 5

G 16

_ 125

H 64

_ 125

J 48

_ 5

3 Six tennis racquets cost $437.04. All the racquets cost the same amount. What is the cost of each racquet?

A $71.18

B $72.04

C $72.84

D $77.04

4 ( 3 _ 4 )

4 =

F 17

_ 22

G 81

_ 256

H 3 _

11

J 27

_ 256

5 Greg bought 7 pairs of jeans for $178.36. Each pair cost the same amount. How much did each pair of jeans cost?

A $25.05

B $25.48

C $27.05

D $27.48

6 Maria, Jose, and Michael had lunch together. The cost of each of their lunches was $9.42, $7.23, and $8.59. What was the total cost of their lunches?

F $24.24

G $25.24

H $26.14

J $26.24

A15–A64_Gr7_PS-879533-8.indd 16A15–A64_Gr7_PS-879533-8.indd 16 2/17/07 11:38:24 AM2/17/07 11:38:24 AM


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Practice by StandardNumber Sense 1.2 (continued)

7 Ms. Juarez bought a book for each of her 23 students. Each book cost $3.25. How much did Ms. Juarez spend on the books?

A $69.00

B $74.75

C $75.00

D $81.25

8 Humberto purchased four shirts at a total cost of $64.16. Each shirt cost the same amount. How much was each shirt?

F $11.04

G $13.12

H $14.12

J $16.04

9 ( 1 _ 4 )

3 =

A 1 _

7

B 4 _

7

C 1 _

64

D 3 _

64

10 (5.2)2 =

F 10.4

G 25.4

H 27.04

J 29.0

11 Darren paid $78.20 for 5 basketballs. If each basketball cost the same, what was the price of each basketball?

A $13.15

B $15.15

C $15.64

D $16.64

12 ( 2 _ 7 )

3 =

F 6 _

7

G 6 _

21

H 8 _

343

J 6 _

343

13 Mr. Smith bought 8 tools that cost $49.36. Each of the tools cost the same amount. How much did each tool cost?

A $6.17

B $6.92

C $7.05

D $7.17



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7NS1.3 Convert fractions to decimals and percents and use these representations in estimations, computations, and applications.

1 Which of the following decimals is

equivalent to 13 _ 5 ?

A 2.2

B 2.4

C 2.6

D 2.8

2 A book costs $11.79, and David receives a 15% student discount. Which of the following expressions can be used to estimate the amount of David’s discount?

F 0.0015 × $12.00

G 0.015 × $12.00

H 0.15 × $12.00

J 1.5 × $12.00

3 A new radio costs $58.99. Michelle receives a 10% discount for being a mall employee. Which of the following expressions can be used to estimate the amount of the discount on the radio?

A 0.01 × $59.00

B 0.10 × $59.00

C 1.0 × $59.00

D 1.1 × $59.00

4 Bianca has a coupon that is valid for a 30% discount on a sweater. She wants to buy a sweater that costs $64.50. Which of the following expressions can be used to estimate the amount of the discount?

F 0.03 × $65

G 0.30 × $65

H 0.07 × $65

J 0.70 × $65

5 Which of the following decimals is


A 3.25

B 3.75

C 4.50

D 4.75

6 Which of the following percents is


F 12.5%

G 18.0%

H 70.0%

J 87.5%

7 Which of the following expressions has the greatest value?

A 3 _

8 · $1000

B 45% of $1000

C 0.3 · $1000

D $1000 ÷ 3




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7NS1.4 Differentiate between rational and irrational numbers.

1 Which of the following is a rational number?

A √ � 5

B √ � 2

C 0.555

D π

2 Which of the following is an irrational number?

F 5 _

1

G 1 _

2

H √ �� 1.69

J √ � 2

3 Which of the following is an example of an irrational number?

A 5.6

B √ � 5

C √ � 4

D 1.8

4 Which of the following is an example of a rational number?

F √ � 2

G √ � 5

H √ � 7

J √ � 9


A √ � 7

B √ � 9

C 1.25

D 1 _

4


F √ � 1 _

4

G √ � 6

H √ � 19

J √ � 35


A π × π

B π3

C π + π

D π ÷ π


F 3.14159

G 1.41421

H 22

_ 7

J √ � 10



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7NS1.5 Know that every rational number is either a terminating or repeating decimal and be able to convert terminating decimals into reduced fractions.

1 Which of the following fractions is equivalent to 3.2?

A 8 _

3 C

13 _

4

B 11

_ 3 D

16 _

5


F 13

_ 4 H

27 _

6

G 33

_ 8 J

34 _

8


A 1 _

5 C

11 _

50

B 1 _

10 D

22 _

10


F 7 _

3 H

9 _

4

G 8 _

3 J

10 _

4

5 Shana earned a score of 80% on her last math test. Which of the following fractions is equivalent to Shana’s score?

A 1 _

9

B 1 _

8

C 4 _

5

D 5 _

6

6 Which of the following is not a rational number?

F 0.111

G 0.111…

H 0.101101110…

J 0.10101010…

7 Andrew’s baseball team won 9 _ 12

of their

games. Which of the following decimals

is another way to write 9 _ 12

?

A 0.25

B 0.75

C 0.666…

D 1.333…


F 1 _

200 H

1 _

40

G 2 _

200 J

1 _

50




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7NS1.6 Calculate the percentage of increases and decreases of a quantity.

1 A bike originally cost $75.00. It was discounted 30% this week. Which of the following is equal to the amount of the discount?

A $22.50

B $30.00

C $45.00

D $52.50

2 All softball gloves are on sale for 20% off the original price. If the glove originally cost $32.50, how much isthe discount?

F $6.50

G $12.50

H $16.25

J $26.00

3 A flashlight originally cost $8.50. The hardware store is giving 20% discounts this week. What is the amount of the discount on a flashlight?

A $6.80

B $6.50

C $4.25

D $1.70

4 Marco received a score of 80 on his first math quiz. He received a score of 100 on his second quiz. What is the percentage of increase in his scores from the first to the second?

F 20%

G 25%

H 33%

J 60%

5 Last year, the fee for entering a soccer tournament was $75 per team. This year, the fee is $100. What is the percentage of increase in the tournament fee from last year to this year?

A 25%

B 30%

C 33%

D 50%

6 A video game originally cost $45.00. A 15% discount is being given this week. What is the amount of the discount on the video game?

F $3.00

G $6.75

H $30.00

J $38.25



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7NS1.7 Solve problems that involve discounts, markups, commissions, and profit and compute simple and compound interest.

1 Chris bought a television set that was on sale for 10% off the original price and an additional 20% off the discounted price. If the television originally cost $200, what is the price Chris paid?

A $136

B $144

C $170

D $180

2 A book was on sale for 25% off the original price. As a special promotion, an additional 20% was taken off the discounted price. If the original price was $40, what is the price paid after all the discounts?

F $5

G $20

H $24

J $30

3 Marisol borrows $800 at 7% simple interest for one year. If she makes no payment for one year, how much interest will she owe?

A $15

B $56

C $66

D $100

4 Jim earns a 6% commission on his sales at a computer store. Last month, he sold $12,480.00 worth of computers. How much commission did Jim earn?

F $20.60

G $206.00

H $728.80

J $748.80

5 Sara deposits $4000 into her bank account. The bank pays 4% interest annually. If she makes no deposits or withdrawals for one year, how much interest will she earn?

A $80

B $100

C $160

D $400

6 Mike receives an 8% commission on clothes he sells at his job. If he sold $1280.00 worth of clothing, how much should he expect to earn in commission?

F $48.80

G $102.40

H $480.00

J $880.00



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7 A skateboard is on sale for 15% offthe original price, and as a special promotion, there is an additional 20% discount on the sale price. What price should a customer pay if the original price was $40.00?

A $27.20

B $29.80

C $34.00

D $35.00

8 Basketballs are on sale for 25% off the original price. As a special promotion, the sale price has been discounted by an additional 20%. If basketballs cost $25.00 originally, what is the price a customer should expect to pay?

F $5.00

G $6.25

H $15.00

J $18.75

9 Ivan opens a savings account with $100.00. The account pays 5% interest, compounded monthly. If Ivan makesno other deposits or withdrawals, what will the account balance be at the end of two months?

A $100.10

B $110.00

C $110.25

D $125.00

10 A sporting goods store buys softball bats at a cost of $40. The store then marks the price up by 40%. What is the store’s profit on the sale of a bat?

F $16

G $20

H $40

J $56

11 Sierra uses a coupon in order to receive a 20% discount on her purchase at the home improvement store. After the discount is given, there is a tax of 5% added to the cost. How much does Sierra pay if her total before the discount was $90.00?

A $77.00

B $75.60

C $75.00

D $72.00

12 The cost of an item after a 7% sales tax is applied to it is $53.50. What is the cost of the item before the sales tax is added?

F $46.50

G $50.00

H $52.80

J $57.24



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7NS2.1 Understand negative whole-number exponents. Multiply and divide expressions involving exponents with a common base.

1 Which of the following has the same value as 4 6 × 4 -3 ?

A 4-3

B 4-2

C 42

D 43

2 ( 1 _ 5 )

-4 × ( 1 _

5 )

2 =

F ( 1 _

5 )

-8

G ( 1 _

5 )

-5

H ( 1 _

5 )

-2

J ( 1 _

5 )

6

3 53 _

5-2 =

A 5-6

B 5-5

C 55

D 56

4 Which of the following has the same value as 3-2 × 32?

F 3-4

G 3-1

H 30

J 34

5 33 _

3-4 =

A 3-7

B 3-1

C 37

D 312

6 8-2 _

83 =

F 8-6

G 8-5

H 81

J 86

7 ( 2 _ 3 )

5 · ( 2 _

3 )

-3 =

A - 4 _

9

B 4 _

6

C 4 _

9

D 9 _

4

8 2-2 ÷ 2-3 =

F 2

G 1 _

2

H 2º

J 1 _

4



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7NS2.2 Add and subtract fractions by using factoring to find common denominators.

1 Which of the following shows the next

step for using the least common

denominator to simplify 4 _ 5 - 1 _

3 ?

A ( 4 _

5 ×

5 _

5 ) - (

1 _

3 ×

3 _

3 )

B ( 4 _

5 ×

3 _

3 ) - (

1 _

3 ×

5 _

5 )

C ( 4 _

5 ×

1 _

1 ) - (

1 _

3 ×

4 _

4 )

D ( 4 _

5 ×

2 _

2 ) - (

1 _

3 ×

5 _

5 )

2 What is the least common denominator

of 1 _ 5 and 1 _

7 ?

F 35 H 10

G 28 J 2

3 Sara completed 3 _ 8 of her project on

Monday and 1 _ 4 of her project on

Thursday. How much of her project

has Sara completed so far?

A 4 _

12 C

3 _

32

B 5 _

8 D

2 _

3

4 4 _ 8 - 1 _

5 =

F 1 H 2 _

5

G 4 _

5 J

3 _

10


step for using the least common

denominator to simplify 2 _ 3 + 1 _

4 ?

A ( 2 _

3 +

4 _

4 ) + (

1 _

4 +

3 _

3 )

B ( 2 _

3 +

2 _

2 ) + (

1 _

4 +

3 _

3 )

C ( 2 _

3 ×

2 _

2 ) + (

1 _

4 ×

2 _

2 )

D ( 2 _

3 ×

4 _

4 ) + (

1 _

4 ×

3 _

3 )

6 1 _ 12

+ 1 _ 15

=

F 9 _

60

G 2 _

60

H 2 _

27

J 1 _

27

7 Mr. Yakuro had 1 _ 2 tank of gas before

work on Monday. He used 3 _ 8 of the tank

to drive to work. How much of the tank

did he have left after driving to

work?

A 1 _

2

B 1 _

8

C 2 _

6

D 4 _

8



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7NS2.3 Multiply, divide, and simplify rational numbers by using exponent rules.

1 22 · 53 · 64

_ 24 · 52 · 62

=

A 45

B 90

C 180

D 360

2 23 · 43 · 84

_ 22 · 44 · 82

=

F 16

G 32

H 64

J 128

3 84 _

82 =

A 10

B 16

C 24

D 64

4 Which expression is equivalent to

35 × 33?

F 32

G 38

H 92

J 98

5 Which expression is equivalent to 99 × 96?

A 8115

B 813

C 915

D 93

6 Which of the following has the greatest value?

F 34

_ 34

G 34

_ 33

H 34 × 3-2

J 32 × 3-3

7 ( 2 _ 3 )

2 · ( 1 _

6 )

2 =

A 1 _

81

B 2 _

18

C 8 _

18

D 4 _

9

8 Which expression is equivalent to 56 · 53?

F 52

G 53

H 59

J 518



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9 126 _

122 =

A 1212

B 128

C 124

D 123

10 (53 · 46 · 81)

_ (52 · 44 · 82)

=

F 5 _

8

G 9 _

8

H 10

J 20

11 Which expression is equivalent to 84?

A 87 · 83

B 87

_ 83

C 82

_ 82

D 82 + 82

12 710 _

75 =

F 72

G 75

H 715

J 750

13 There are 210 · 22 bacteria in Kevin’s science sample. How many bacteria is this?

A 25

B 28

C 212

D 220

14 Which expression has the greatest value?

F 61 × 64

G 62 + 62

H 65

_ 62

J 6-2 × 64

15 104 · 102 _

103 · 103 =

A 10

B 1.0

C 0.1

D 0.01

16 23 · 32 =

F 55

G 66

H 36

J 72


11 12 13 14 15


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7NS2.4 Use the inverse relationship between raising to a power and extracting the root of a perfect square integer; for an integer that is not square, determine without a calculator the two integers between which its square root lies and explain why.

1 √ �� 441 =

A 17

B 19

C 21

D 23

2 The square root of 20 is between which two numbers?

F 3 and 4

G 4 and 5

H 5 and 6

J 6 and 7


A 7 and 8

B 8 and 9

C 9 and 10

D 10 and 11

4 Find the length of one side of a square that has an area of 289 square units.

F 13

G 17

H 23

J 27

5 √ �� 625 =

A 15

B 25

C 35

D 45

6 Which of the following points shows the location of √ �� 150 on the number line?

F point AG point BH point CJ point D

7 √ �� 225 =

A 15

B 25

C 35

D 45


F 29 and 30

G 30 and 31

H 31 and 32

J 100 and 110



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7NS2.5 Understand the meaning of the absolute value of a number; interpret the absolute value as the distance of the number from zero on a number line; and determine the absolute value of real numbers.

1 |8 - 13| × |6 - 4| =

A -12

B -10

C 10

D 12

2 |38 - 45| - |12 - 14| =

F -9

G -5

H 5

J 9

3 Which of the following expressions has the smallest value?

A |-58|

B |-38|

C |21|

D |47|


F |-81|

G |-100|

H |58|

J |73|

5 |10 - 40| - |30 - 80| =

A -80

B -20

C 20

D 80

6 Which of the following statements is true?

F |-15| > |15|

G |-33| < |15|

H |-15| > |-33|

J |-33| > |-15|

7 ⎪ 1 _ 5 × -10⎥ + ⎪- 3 _

4 × 12⎥ =

A -11

B -7

C 7

D 11

8 |7 - 6| - |19 - 6| =

F -14

G -12

H 12

J 14


A |-92|

B |-56|

C |47|

D |91|



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10 Which of the following is in order from least to greatest?

F -|12|, |-5|, |-13|

G |-5|, -|12|, |-13|

H |-13|, -|12|, |-5|

J -|12|, |-13|, |-5|

11 -|2.5 - 3.5| + |22| =

A -5

B -3

C 3

D 5

12 |5 - 18| + |7 - 13|

F -19

G -7

H 7

J 19

13 Which of the following statements is not true?

A |-62| > |-26|

B |-26| > |-62|

C |-26| < |62|

D |62| = |-62|

14 Which of the following expressions has a value of 8?

F |-7| - |-1|

G |-7| + |-1|

H |-7| - |1|

J -|-7| + |-1|

15 |8| × |-23|

_ |-2| × 2

=

A -16

B -2

C 12

D 16

16 Which has the greatest value?

F |-7.5|G |-10|H |9.1|J |-8.9|

17 -||-3 - 2| - |6 - 9|| =

A 20

B 2

C -2

D -20



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Practice by StandardAlgebra and Functions 1.1

7AF1.1 Use variables and appropriate operations to write an expression, an equation, an inequality, or a system of equations or inequalities that represent a verbal description.

1 The product of a number (n) and 8 is 56. Which of the following equations shows that relationship?

A 8 + n = 56

B 8 - n = 56

C 8n = 56

D 56n = 8

2 Twelve less than a number (x) is 27. Which of the following equations shows this relationship?

F 27 - x = 12

G 12 - 27 = xH 12 - x = 27

J x - 12 = 27

3 The sum of 3 times a number (n) and 14 is 29. Which of the following equations shows this relationship?

A 3n + 14 = 29

B 3n + 29 = 14

C 3n - 14 = 29

D 3n - 29 = 14

4 Which of the following statements describes the equation x + 19 = 47?

F The difference of a number (x) and

19 is 47.

G The sum of a number (x) and 19 is 47.

H The product of a number (x) and

19 is 47.

J The quotient of a number (x) and

19 is 47.

5 Four less than a number (n) is less than 23. Which of the following inequalities shows that relationship?

A 4 - n > 23

B 4 - n < 23

C n - 4 > 23

D n - 4 < 23

6 The product of 6 and a number (x) is greater than or equal to 84. Which of the following inequalities describes that relationship?

F 6 + x ≥ 84

G 6 + x ≤ 84

H 6x ≥ 84

J 6x ≤ 84



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7AF1.2 Use the correct order of operations to evaluate algebraic equations.

1 If x = -4, then x2 - 3 =

A -19.

B -11.

C 5.

D 13.

2 If x = -2 and y = 3, then x(x - y) =

F -10.

G -2.

H 2.

J 10.

3 Evaluate the expression for x = 4, y = 3, and z = 2.

xy - 3z

A 1

B 2

C 6

D 18

4 Evaluate 2(x + 4)2 for x = 3.

F 28 H 100

G 98 J 196

5 If x = -2 and y = -3, then xy - x =

A -8. C 4.

B -4. D 8.

6 If x = -2 and y = -3, then xy2

_ x =

F -9.

G -6.

H 6.

J 9.

7 (22)3 =

A 512

B 256

C 64

D 32

8 - (-3)2 - (-1)3 =

F -8

G -10

H 8

J 10

9 Evaluate (x - x2)2 for x = -1

A 4

B 1

C 0

D -1



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7AF1.3 Simplify numerical expressions by applying properties of rational numbers and justify the process used.


13(z + 5) = 13z + 65


B Commutative Property of Addition

C Distributive Property

D Inverse Property of Addition

2 Which property is demonstrated in the following equation?

x + (y + z) = x + (z + y)


G Commutative Property of Addition

H Distributive Property

J Inverse Property of Addition

3 Which of the following expressions is equivalent to 5x + 75?

A x + 75

B 5(x + 75)

C x + 15

D 5(x + 15)


x · (y · z) = (x · y) · z

F Associative Property of Multiplication

G Commutative Property of Multiplication


J Inverse Property of Multiplication


x ( 1 _ x ) = 1

A Associative Property of Multiplication

B Commutative Property of Multiplication


D Inverse Property of Multiplication


x · (y · z) = x · (z · y)




J Inverse Property of Multiplication

7 Which operation will change the value of any integer except 0?

A add 0

B multiply by 2 _

2

C divide by 1

D multiply by 0




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Practice by StandardAlgebra and Functions 1.3 (continued)


2(6 + x) = 12 + 2x?

F Commutative Property of Addition


H Associative Property of Multiplication

J Distributive Property


3x + (2x + y( = (3x + 2x) + y


B Commutative Property of Addition


D Inverse Property of Addition

10 Simplify the expression below.

-(-7 + 3)

F 10

G 4

H -4

J -10

11 Which of the following operations will not change the value of any non zero number?

A multiplying by zero

B adding zero

C adding one

D subtracting one

12 Which is equivalent to the following expression?

3x2(6x + 2x)

F 24x3

G 24x4

H 18x3 + 2xJ 20x3

13 Which of the following expressions is equivalent to (3x + 7) + 5y?

A 15xyB 8xy + 7C 10x + 5yD 3x + (7 + 5y)


2b + 5 = 5 + 2b


G Cummutative Property of Addition

H Distributive Property of Addition

J Identity property of Addition

15 Evaluate the expression below whenx = 75.

(x + 36) + 25

A x + 100

B x + 61

C 136

D 126



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7AF1.4 Use algebraic terminology correctly.

1 How many variables are there in the following equation?

5x + 2y + z = 37

A 1

B 2

C 3

D 4

2 Complete the following sentence.5x + 2 ≤ 17 is an example of a(n)

.

F parabola

G inequality

H constant

J coefficient

3 What is the coefficient in the following expression?

3x2y

A 3

B 2

C xD y

4 What is the constant in the following equation?

y = 4x2 + 7

F xG 2

H 4

J 7

5 The following expression has how many terms?

3y + 4x2

A 1

B 2

C 3

D 4

6 In the following expression, what is the coefficient of the x2 term?

6x2 + 5y

F 2

G 5

H 6

J 12

7 Which of the following is an algebraic expression?

A 0

B 2 + 2

C 2 + 2xD 2 + 2x = 4


Tota

l Cos

t ($)

0 1 3 5 7 9

Number of Nights

907560453015

Tota

l Cos

t ($)

0 1 3 5 7 9

Number of Nights

907560453015

Tota

l Cos

t ($)

0 1 3 5 7 9

Number of Nights

907560453015

Tota

l Cos

t ($)

0 2 4 6 8 10

Number of Bananas

2.50

2.00

1.50

1.00

0.50

Tota

l Cos

t ($)

0 20 40 60 80 100 120 140 160 180 200

Number of Minutes

25

20

15

10

5

Tota

l Cos

t ($)

0 1 3 5 7 9

Number of Nights

907560453015


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7AF1.5 Represent quantitative relationships graphically and interpret the meaning of a specific part of a graph in the situation represented by the graph.

1 Carlos bought a new cell phone. The graph below represents the relationship between the number of minutes that he uses and the total cost.

How much will Carlos have to pay even if he doesn’t make any calls?

A $1 C $10

B $5 D $20

2 The graph below shows the relationship between the number of bananas Allison buys and the total cost.

How much does each banana cost?

F $4.00 H $1.00

G $2.50 J $0.25

3 The table below shows the cost for one person to stay at a campground for n nights.

Nights (n) 1 3 5 9

Cost ($) 15 45 75 135

Which of the following graphs represents the information from the chart above?

A

B

C

D



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7AF2.1 Interpret positive whole-number powers as repeated multiplication and negative whole-number powers as repeated division or multiplication by the multiplicative inverse. Simplify and evaluate expressions that include exponents.

1 Which expression below has the same value as x4y3?

A 7xyB 12xyC 4x · 3yD x · x · x · x · y · y · y

2 If x = 4, then x-3 =

F -64.

G -12.

H 1 _

64 .

J 1 _

12 .

3 If x = -2, then 3x3 =

A -24.

B -18.

C 18.

D 24.

4 If x = 2 and y = -3, then x2 - y2 =

F -22.

G -5.

H 13.

J 31.

5 If x = -3, then x3 =

A -27.

B -9.

C 9.

D 27.

6 Which expression below has the same value as x-3?

F -3x

G (-x) · (-x) · (-x)

H (-3x) · (-3x) · (-3x)

J 1 _

x · x · x

7 34 · 3-4 =

A 0

B 1

C 3-8

D 3-16

8 (3-2)3 =

F 3

G 1 _

3

H ( 1 _

3 )5

J ( 1 _

3 )6



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7AF2.2 Multiply and divide monomials; extend the process of taking powers and extracting roots to monomials when the latter results in a monomial with an integer exponent.

1 Which of the following expressions is

equivalent to 12a8 _

3a4 ?

A 9a2

B 9a4

C 4a2

D 4a4

2 5x3y7

_ 25xy10

=

F 5x2y3

G 5x2

_ y3

H 1 _

5x2y3

J x2

_ 5y3


equivalent to (3y3)(4y)?

A 12y4

B 12y3

C 12y2

D 7y4


equivalent to √ �� 9x6 ?

F 3x3

G 3x4

H 9x3

J 9x4


equivalent to x-2y5

_ x4y2

?

A x2y3

B 1 _

x2y3

C y3

_ x6

D y3

_ x2


equivalent to (6x)(2x-2)?

F 8x

G 8 _ x

H 12

_ x

J 12

_ x3


O

-2-3-4

21 43-2-3-4

1234

y

x

O

-2-3-4

21 43-2-3-4

1234

y

x

O

-2-3-4

21 43-2-3-4

1234

y

x

O

-2-3-4

21 43-2-3-4

1234

y

x

O

-2-3-4

21 43-2-3-4

1234

y

x

Area

of S

quar

e

0 1 2 3 4

Length of Side

108642


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7AF3.1 Graph functions of the form y = nx2 and y = nx3 and use in solving problems.

1 Which of the following graphs shows

y = - 1 _ 3 x2

A

B

C

D

2 Look at the graph shown below. Which equation is represented on the graph?

F y = 2xG y = 2x2

H y = -2x2

J y = 2x3

3 A designer measured the area of a square and compared it to the length of one of its sides. The graph below represents the relationship between the side length and the total area of the square.

Using the graph, determine which equation best expresses the relationship between the length of the side and the area of a square.

A y = x3

B y = x2

C y = -x2

D y = x


0 0.5 1 1.5 2 2.5 3 3.5 r4

V20π

16π

12π

8π

4π

0 0.5 1 1.5 2 2.5 3 3.5 4

20π

16π

12π

8π

4π

r

V

0 0.5 1 1.5 2 2.5 3 3.5 4

20π

16π

12π

8π

4π

r

V

0 0.5 1 1.5 2 2.5 3 3.5 4

20π

16π

12π

8π

4π

r

V

0 0.5 1 1.5 2 2.5 3

12108642

0 0.5 1 1.5 2 2.5 3 3.5 4

20

15

10

5Volu

me

Height (h)


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7AF3.2 Plot the values from the volumes of the three-dimensional shapes for various values of the edge lengths.

1 A cylinder has a height of 3 inches and a circular base of radius r. Which of the following graphs shows the relationship between the volume of the cylinder and the radius r?

A

B

C

D

2 The following graph shows the relationship between the volumeof a solid and one of its edges x.

The graph could represent which of the following?

F the volume of a triangular prism with

edge length xG the volume of a rectangular prism with

edge length 2 + xH the volume of a cylinder with height xJ the volume of a cube with edge length x

3 The Rugged Box Company makes a number of boxes whose bases are the same size but whose heights are different. The graph below shows the volumes of the boxes for a given height h.

What is the area of the base?

A 1 in2

B 4 in2

C 5 in2

D 25 in2


y

xO 1 2 3 4 5 6 7

56

4321

-2

-1

y

xO 1

56

4321

-2

-7 -6-5-4 -3-2-1

xO 1 2 3 4

56

4321

-2

-4 -3-2-1

y

y

xO 1 2 3 4

1

-2-3-4-5-6-7

-4 -3-2-1

O

-2-3-4-5

21 4 53-2-3-4-5

y

x

12345

O

-2-3-4

21 43-2-3-4

1234

y

x


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7AF3.3 Graph the linear function, noting that the vertical change per unit of horizontal change is always the same and know that the ratio is called the slope of the graph.

1 Which best represents the graph of

y = - 1 _ 2 x + 5?

A

B

C

D

2 Which of these equations describes the line graphed below?

F y = 4x - 2

G y = -4x - 2

H y = 2x - 4

J y = 2x + 4

3 Which of the following is the slope of the line shown below?

A 2

B -2

C 1 _

2

D - 1 _

2


Tota

l Cos

t ($)

0 1 2 3 4 5 6 7 8 9 10

Pounds of Strawberries

654321

Tota

l Cos

t ($)

0 1 2 3 4 5 6 7 8 9 10

Number of Tacos

654321

Tota

l Cos

t ($)

0 1 2 3 4 5 6 7 8 9 10

Number of Tacos

654321

Tota

l Cos

t ($)

0 1 2 3 4 5 6 7 8 9 10

Number of Tacos

654321

Tota

l Cos

t ($)

0 1 2 3 4 5 6 7 8 9 10

Number of Tacos

654321


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7AF3.4 Plot the values of quantities whose ratios are always the same. Fit a line to the plot and understand that the slope of the line equals the ratio of quantities.

1 Strawberries are on sale at 3 pounds for $1.00. The following graph shows the relationship between the number of pounds of strawberries purchased and the total cost.

How many pounds of strawberries can be purchased for $6.00?

A 2

B 6

C 12

D 18

2 Tacos are on sale, 2 for $1.00. Which of the following graphs shows the relationship between the number of tacos bought and the total cost?

F

G

H

J



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7AF4.1 Solve two-step linear equations and inequalities in one variable over the rational numbers, interpret the solution or solutions in the context from which they arose, and verify the reasonableness of the result.

1 What is the solution to the inequality3n - 7 > 17?

A n > 3

B n > 8

C n > 9

D n < 8

2 What is the value of p if p _

8 + 4 = 260?

F 32

G 64

H 1,048

J 2,048

3 Which inequality has the solutionx < 3?

A 3x + 2 < 35

B 5x - 2 > 15

C -3x - 2 < 9

D -4x + 3 > -9

4 Marty has $10 in his pocket on Monday. What will he have left on Friday if he spends $2.50 every day on a fruit smoothie?

F -$2.50 H $2.50

G $0 J $5.00

5 Sara read 13 books during the first half of the year. In the second half of the year, she read the same number of books each month. She read 31 books in all. How many books per month (b) did she read in the second half of the year?

A 5

B 6

C 7

D 8

6 What value of n makes the equation below true?

7n - 23 = 89

F 14

G 16

H 18

J 21

7 What is the value of x if 5x + 9 = 74?

A 13

B 15

C 115

D 361

8 What is the solution to the following inequality?

15.8 + y ≤ 50

F y ≤ 34.2

G y ≤ 33.8

H y ≥ 33.8

J y ≥ 34. 2



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x _ 7 + 4 = 9

A 5

B 14

C 35

D 49

10 What is the value of x if -2x + 6 = -14?

F -10

G -4

H 4

J 10

11 Jebari needs $120 to fix his car. He has $65. He earns $5 an hour mowing lawns. The equation below shows this relationship. How many hours must Jebari work to have the money he needs?

5h + 65 = 120

A 9

B 10

C 11

D 12

12 Michael needs $75 for a new cell phone. He has $33. He makes $7 an hour babysitting. The equation below shows this relationship. How many hours must Michael work to buy the phone he wants?

7h + 33 = 75

F 3

G 4

H 5

J 6

13 What value of y makes the equation below true?

y _

4 + 3 = 7

A 8

B 12

C 16

D 20

14 Sarah has $300. Each week, she buys a $15 CD and a $5 book. How much money will she have left after 6 weeks?

F $180

G $210

H $270

J $280



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7AF4.2 Solve multistep problems involving rate, average speed, distance, and time or a direct variation.

1 Jay drove his car for 2 hours at 65 miles per hour, and then he drove for another 4 hours at 50 miles per hour. How far did Jay drive in all?

A 130 miles

B 200 miles

C 265 miles

D 330 miles

2 Miguel is saving for a new video game system that costs $199. If he gets an allowance of $15 a week, how many weeks will it take for him to save up enough money for the video game system?

F 13

G 14

H 15

J 20

3 An eagle flew at a speed of 17 miles per hour for 2 hours, and then it flew 15 miles per hour for 3 hours. How far did the eagle fly altogether?

A 32 miles

B 47 miles

C 59 miles

D 79 miles

4 The number of tablespoons of sea salt needed in a saltwater fish tank varies directly with the number of gallons of water in the tank. A pet shop owner recommends adding 100 tablespoons of sea salt to a 20-gallon tank. How many tablespoons of sea salt should be added to a 30-gallon saltwater fish tank?

F 100

G 150

H 200

J 250

5 The distance you travel on a bicycle varies directly with the number of revolutions that the rear tire completes. You travel about 2 meters on a mountain bike for every revolution of the tire. About how many meters do you travel per 1500 tire revolutions?

A 1500

B 2000

C 2500

D 3000

6 The amount of vacation Sabrina earns varies directly with the amount time she works. If Sabrina works 2 weeks, she earns 3 hours of vacation. At that rate, how many hours of vacation time would Sabrina earn in 8 weeks?

F 6

G 8

H 12

J 16



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7 Micah’s scooter can go 1000 miles on 20 gallons of gas. How far could the scooter go on 25 gallons of gas?

A 750 miles

B 1000 miles

C 1250 miles

D 1500 miles

8 Allie rode her bike for 2 hours at 7 miles per hour, and then for 3 hours at 5 miles per hour. How far did Allie ride in all?

F 10 miles

G 19 miles

H 29 miles

J 39 miles

9 Mandy rode her bike for 3 days at 40 miles per day, and then for 5 days at50 miles per day. What is the average number of miles per day for this 8 day trip?

A 92.5 miles per day

B 46.25 miles per day

C 45.0 miles per day

D 42.0 miles per day

10 Ron drove his car for 200 miles at55 miles per hour, and then for 3 more hours at 45 miles per hour. How far did Ron drive in all?

F 135 miles

G 139 miles

H 200 miles

J 335 miles

11 A train travels at 120 miles per hour for 3 hours, and then increases its speed to 140 miles per hour for 9 hours. Find the average speed of the train.

A 125 miles per hour

B 130 miles per hour

C 135 miles per hour

D 138 miles per hour

12 Jack’s car gets an average of 31 miles per gallon of gas. If he plans to drive 155 miles to his grandparent’s house, and then 186 miles to a friend’s house, how many gallons of gas will he use in all?

F 11 gallons

G 31 gallons

H 55 gallons

J 62 gallons



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Practice by StandardMeasurement and Geometry 1.1

MG1.1 Compare weights, capacities,geometric measures, times, and temperatures within and between measurement systems (e.g., miles per hour and feet per second, cubic inches to cubic centimeters).

1 David ran the 100-yard dash in 20 seconds. How many feet per second was David running?

A 5

B 15

C 50

D 80

2 Daniela rode 6 miles in 1 hour. If there are 5,280 feet in 1 mile, about many feet per second did Daniela travel?

F 9

G 15

H 60

J 75

3 The length of a pencil is 8 centimeters. What is the length of the pencil expressed in millimeters?

A 0.8 millimeters

B 8 millimeters

C 80 millimeters

D 800 millimeters

4 Jeff caught a fish that weighed

2 1 _ 2 pounds. How many ounces did

the fish weigh?

F 5

G 25

H 30

J 40

5 A thermometer reads 25 degrees Celsius. What is the temperature expressed in degrees Fahrenheit?

A 50°F

B 65°F

C 77°F

D 86°F

6 Rich has a piece of rope that measures 200 millimeters. What is the length of the rope expressed in centimeters?

F 0.02 centimeters

G 0.2 centimeters

H 2.0 centimeters

J 20 centimeters

F = 9 _ 5 C + 32


1 unit = 3 feet

1 unit = 5 feet

1 unit = 3 yards

1 unit = ?


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7MG1.2 Construct and read drawings and models made to scale.

1 Mrs. Jones drew a shaded figure to represent the teacher’s supply room.

What is the length and width of the supply room?

A 48 feet by 18 feet

B 24 feet by 9 feet

C 12 feet by 4.5 feet

D 6 feet by 2.25 feet

2 A computer room is represented below. What is the width of the room?

F 12 feet

G 15 feet

H 27 feet

J 35 feet

3 Brandon drew the picture below to represent a parking lot. According to the scale of the picture, what are the dimensions of the parking lot?

A 3 yards by 10 yards

B 3 yards by 30 yards

C 6 yards by 10 yards

D 6 yards by 30 yards

4 A scale drawing of a soccer field is shown below. If an actual field is 120 yards by 80 yards, what does each unit represent?

F 3 yards

G 5 yards

H 10 yards

J 20 yards



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7MG1.3 Use measures expressed as rates (e.g., speed, density) and measures expressed as products (e.g., person-days) to solve problems; check the units of the solutions; and use dimensional analysis to check the reasonableness of the answer.

1 According to the table below, which reader could read the most pages in 1 hour?

Name Speed of Reading

Ashley 12 pages in 30 minutes

David 7 pages in 15 minutes

Karen 5 pages in 10 minutes

Kyle 3 pages in 5 minutes

A Ashley

B David

C Karen

D Kyle

2 Which color printer is the fastest in the table below?

Name of Copier

Printing Speed

Colorifi c 1 page every 5 seconds

Rainbow 15 pages per minute

Reliable 80 pages every 5 minutes

Smart Copy 400 copies every 30 minutes

F Colorific

G Rainbow

H Reliable

J Smart Copy

3 You are the manager of a clothing store. Your sales goal for a 6-week period is 2500 shirts. About how many shirts must be sold per week to meet your sales goal?

A 625

B 417

C 357

D 250

4 Listed below are bolt production rates for four different companies.

Name of Company Production Speed

Alpha 5 bolts per second

Gamma 180 bolts per minute

Omega 7,000 bolts every half hour

Zulu 10,000 bolts per hour

Which company produces the bolts fastest?

F Alpha

G Gamma

H Omega

J Zulu

5 A person-day represents one person doing one day’s work. As supervisor, you realize that it will take 750 person-days to complete your latest work project. If you have 15 employees available, how many days will it take to complete the project?

A 5 C 50

B 15 D 60



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Practice by StandardMeasurement and Geometry 1.3 (continued)

6 The rate of a long-distance call is $0.12 per minute. Your monthly bill was $32.04 for long-distance calls.How many minutes did you spend onlong-distance calls?

F 245

G 267

H 284

J 289

7 Listed in the table below are the speeds of 4 different bicycle assemblers.

Assembler Assembling Speed

Bobby 1 bike in 12 minutes

Christina 4 bikes in 1 hour

Doug 12 bikes in 2 hours

Janet 20 bikes in 4 hours

Who could assemble the most bikes in 8 hours?

A Bobby

B Christina

C Doug

D Janet

8 A certain substance has a density of 6 kilograms per cubic meter. What is the volume of a piece of this substance with a mass of 3 kilograms?

F 0.5 m3

G 2 m3

H 9 m3

J 18 m3

9 Amy can type 20 pages per minute and Jordan can type 10 pages per minute. Working together, how long will it take them to type a 6000-page document?

A 30 minutes

B 200 minutes

C 300 minutes

D 600 minutes

10 A project will take 480 person-hours to complete. Each of the 4 people working on the project works for 6 hours per day. At that rate, how many days will it take to complete the project?

F 20

G 48

H 80

J 120

11 At a rate of 25 miles per day, about how many hiking days would it take two through-hikers to complete 2658 miles on the Pacific Crest Trail?

A 53

B 106

C 212

D 160


6 cm

6 inches8 inches

4 inches

8 cm

14 cm

18 inches

14 inches

6 inches8 inches

4 inches


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7MG2.1 Use formulas routinely for finding the perimeter and area of basic two- dimensional figures and the surface area and volume of basic three-dimensional figures, including rectangles, parallelograms, trapezoids, squares, triangles, circles, prisms, and cylinders.

1 What is the area of �LMN?

A = 1 _ 2 × b × h

A 22 cm2

B 44 cm2

C 56 cm2

D 112 cm2

2 What is the area of the circle shown below? Use 3.14 for π.(A = π × r2)

F 18.84 cm2

G 37.68 cm2

H 113.04 cm2

J 226.08 cm2

3 What is the volume of the rectangular solid shown below? (V = � × w × h)

A 48 in3

B 96 in3

C 192 in3

D 384 in3

4 What is the perimeter of rectangle WXYZ shown below?

F 32 inches

G 64 inches

H 222 inches

J 252 inches


SA = 2 × � × w + 2 × � × h + 2 × w × h

A 72 B 192

B 104 D 208


4 in.4 in.

4 in.

4 in.20 in.

10 in.

2 in.

3 in.

4 in.

4 cm

4 cm

8 cm

5.75 cm

8 cm


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7MG2.2 Estimate and compute the area of more complex or irregular two- and three-dimensional figures by breaking the figures down into more basic geometric objects.

1 Nancy cut 2 corners off her rectangle to make it into a hexagon. What is the area of the shaded region?

A 168 in2

B 184 in2

C 196 in2

D 200 in2

2 Jennifer drew the trapezoid below on the chalkboard.

What is the area of the trapezoid?

F 6 in2

G 9 in2

H 16 in2

J 18 in2

3 What is the area of the pentagon shown below?

A 16 cm2

B 32 cm2

C 48 cm2

D 64 cm2

4 During math class, Ms. Patrick drew the shape below on the chalkboard.

What is the best estimate for the area of the parallelogram that Ms. Patrick drew?

F 12 cm2

G 24 cm2

H 36 cm2

J 48 cm2


5 cm

12 cm6 cm

2 cm

2 cm2 cm

18 cm

12 cm

6 cm


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7MG2.3 Compute the length of the perimeter, the surface area of the faces, and the volume of a three-dimensional object built from rectangular solids. Understand that when the lengths of all dimensions are multiplied by a scale factor, the surface area is multiplied by the square of the scale factor and the volume is multiplied by the cube of the scale factor.


A 162 cm2

B 250 cm2

C 324 cm2

D 360 cm2

2 What would happen to the volume of the rectangular solid below if the dimensions were doubled?

F The volume would be cut in half.

G The volume would double.

H The volume would be 4 times larger.

J The volume would be 8 times larger.

3 What is the volume of the package shown below?

A 396 cm3

B 792 cm3

C 1266 cm3

D 1296 cm3

4 Janice has a rectangular solid that has a surface area of 242 square inches. What would happen to the surface area if the length, width, and height were all doubled?

F The surface area would double.

G The surface area would triple.

H The surface area would be

4 times larger.

J The surface area would be

8 times larger.

5 The volume of a rectangular solid is measured to be 160 cubic meters. If all of the dimensions of the solid were cut in half, what would be the volume of the new solid?

A 10 m3

B 20 m3

C 40 m3

D 80 m3


5 m

2 m


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7MG2.4 Relate the changes in measure-ment with a change of scale to the units used (e.g., square inches, cubic feet) and to conversions between units (1 square foot = 144 square inches or [1 ft2] = [144 in2], 1 cubic inch is approximately 16.38 cubic centimeters or [1 in3] = [16.38 cm3]).

1 A hardware store is selling a particular kind of floor tile that has an area of 144 square inches. How many square feet is each floor tile?

A 1 ft2

B 2 ft2

C 12 ft2

D 24 ft2

2 The neighborhood garden shop sells pieces of sod that are 2 square feet each. How many square inches is each piece of sod equivalent to?

F 24 in2

G 96 in2

H 288 in2

J 576 in2

3 A rectangular solid has a volume of 320 cubic centimeters. If 1 inch is equal to about 2.54 centimeters, approximately how many cubic inches does that represent?

A 2 cm3

B 15 cm3

C 20 cm3

D 32 cm3

4 A can of paint holds enough paint to cover 200 square feet. How many square inches will the paint cover?

F 2,400 in2

G 2,800 in2

H 24,000 in2

J 28,800 in2

5 What is the area of the figure below in square centimeters?

A 100 cm2

B 1,000 cm2

C 10,000 cm2

D 100,000 cm2

6 A room is 10 feet wide and 18 feet long. What is the area of the room in square yards?

F 20 yd2

G 60 yd2

H 90 yd2

J 180 yd2



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7MG3.1 Identify and construct basic elements of geometric figures (e.g., altitudes, midpoints, diagonals, angle bisectors, and perpendicular bisectors; central angles, radii, diameters, and chords of circles) by using a compass and straightedge.

1 Which of the following line segments represents the altitude of �RST?

A −−

RS

B −−

ST

C −−

TR

D −−

SV

2 How many radii are shown in the circle below?

F 1

G 2

H 3

J 4

3 Which of the following segments is a diameter of the circle shown below?

A −−

AB

B −−

BC

C −−

FG

D −−

HA

4 Which of the following segments is a chord of the circle shown below?

F −−

ML

G −−

LN

H −−

QS

J −−

LR


y

xO

-2-3-4-5

-2-3-4-5

12345

21 43 5

y

xO

-2-3-4-5

-2-3-4-5

12345

21 43 5

y

xO

-2-3-4-5

-2-3-4-5

12345

21 43 5

y

xO

-2-3

-2 21 4 53 6 7 8

123456


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7MG3.2 Understand and use coordinate graphs to plot simple figures, determine lengths and areas related to them, and determine their image under translations and reflections.

1 What is the distance between point F and point G on the coordinate plane shown below?

A 2 C 4

B 3 D 5

2 The endpoints of −−

AB are at A(0, 0) and B(2, 3). Which line segment represents a translation of 3 units to the left and 1 unit down?

F −−

CD H −−−

GH

G −−

EF J −−

JK

3 If �MNP is translated 3 units to the left and 3 units down, what are the coordinates of its vertices?

A (-1, 2), (2, 2), (-1, 6)

B (2, -1), (2, 3), (5, -1)

C (-1, -1), (-1, 3), (2, -1)

D (5, 5), (5, 11), (8, 5)

4 What is the area of the rectangle plotted on the graph below?

F 10 units2

G 15 units2

H 16 units2

J 18 units2


ℓ8 ft

6 ft

13 ft

5 ft3 cm

4 cm


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7MG3.3 Know and understand the Pythagorean theorem and its converse and use it to find the length of the missing side of a right triangle and the lengths of other line segments and, in some situations, empirically verify the Pythagorean theorem by direct measurement.

1 What is the length of the hypotenuse ℓ of the right triangle shown below?

A 2 feet

B 6 feet

C 10 feet

D 14 feet

2 What is the length of the hypotenuse in the right triangle shown below?

F 2 centimeters

G 5 centimeters

H 12 centimeters

J 14 centimeters

3 Listed in the table below are the lengths of the sides for four triangles. Which of the triangles is a right triangle?

Triangle Length of Sides in Inches

one 15, 20, 25

two 10, 23, 25

three 5, 6, 51

four 12, 14, 15

A Triangle one

B Triangle two

C Triangle three

D Triangle four

4 What is the missing side length of the in the right triangle shown below?

F 8 feet

G 12 feet

H 18 feet

J 30 feet


6 in. 10 in.

15

20

40 ft 50 ft

10 ft

12 ft


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Practice by StandardMeasurement and Geometry 3.3 (continued)

5 In the figure shown below, Z is the midpoint of

−− WY, and

−− XZ is perpendicular

to −−

WY . What is the length of −−

XY ?

A 13 feet

B 17 feet

C 22 feet

D 30 feet

6 What is the length of the missing side in �CDE?

F 4 inches

G 6 inches

H 8 inches

J 10 inches

7 What is the length of the hypotenuse of �DEF?

A 15

B 25

C 35

D 45

8 In the figure shown below, D is the midpoint of

−− AC and

−− BD is perpendicular

to −−

AC . What is the length of −−

DC ?

F 90 feet

G 50 feet

H 30 feet

J 10 feet


15 ft

11 ft

84

35

35

45

75

75

95

115


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7MG3.4 Demonstrate an understanding of conditions that indicate two geometrical figures are congruent and what congruence means about the relationships between the sides and angles of the two figures.

1 Quadrilaterals MNOP and TSRQ are congruent in the figure shown below.

What is m∠N?

A 75° C 95°

B 80° D 150°

2 In the diagram below, find the valueof a.

F 35°

G 45°

H 55°

J 100°

3 In the figure below, �CDE �EFC. What is the length of

−− DC ?

A 4 feet

B 11 feet

C 15 feet

D 26 feet

4 In the figure shown below, �RST and �XZY are congruent. If m∠S = 48° and m∠T = 23°, then what is m∠X?

F 15° H 109°

G 25° J 119°



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7MG3.6 Identify elements of three- dimensional geometric objects (e.g., diagonals of rectangular solids) and describe how two or more objects are related in space (e.g., skew lines, the possible ways three planes might intersect).

1 Which pair of line segments are parallel in the rectangular solid shown below?

A −−

FK and −−

HJ

B −−

FJ and −−

KN

C −−

JN and −−

FG

D −−−

HM and −−

KN

2 Which of the following line segments would be a diagonal in the prism shown below?

F −−−

GH

G −−

GJ

H −−

NK

J −−−

FM

3 Name a pair of skew lines in the graphic shown below.

A � � MN and � � PO B � � PT and � � NO C � � QR and � � ST D � � NR and � � SO

4 How many diagonals are there in the prism shown below?

F 4

G 6

H 8

J 12


Age of Customers

Stem Leaf

123456

0 3 60 1 3 5 50 7 81 71 32

Age of Customers

Stem Leaf

123456

0 3 60 0 1 3 50 7 81 71 32

0 5 10 15 20 25 30

Number of Workers

0 10 20 60504030

Points Scored

Age of Customers

Stem Leaf

123456

0 3 60 1 3 50 7 81 71 32

Age of Customers

Stem Leaf

123456

0 3 60 0 0 1 3 5 50 7 81 7 71 32


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Practice by StandardStatistics, Data Analysis, and Probability 1.1

7SDAP1.1 Know various forms of display for data sets, including a stem-and-leaf plot or box-and-whisker plot; use the forms to display a single set of data or to compare two sets of data.

1 The box-and-whisker plot below shows the number of points scored by a football team.

What is the median number of points scored by the football team?

A 7

B 21

C 35

D 56

2 The box-and-whisker plot below shows the number of workers at given times throughout the day.

What is the upper quartile of the number of workers?

F 10

G 12

H 20

J 30

3 Listed are the ages of customers entering a store:

13, 25, 23, 38, 20, 20, 25, 47, 51, 62, 16, 53, 41, 37, 20, 21, 47, 10, 30

Which of the following stem-and-leaf plots correctly displays the data?

A

B

C

D


y

x

Aver

age

Grad

e

40%

20%

0

60%80%

100%

1 2 3 4 5 6Average Hours Studying

y

xO

y

xO

y

xO

y

xO


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7SDAP1.2 Represent two numerical variables on a scatterplot and informally describe how the data points are distributed and any apparent relationship that exists between the two variables (e.g., between time spent on homework and grade level).

1 The scatterplot below shows the average grade scored and the average amount of time spent studying.

Which of the following statements best describes the relationship between average grade and average amount of time studying?

A As average studying time increases,

average grade decreases.

B As average studying time increases,

average grade increases.

C As average studying time decreases,

average grade increases.

D As average studying time decreases,

average grade stays the same.

2 Which scatterplot below best represents the statement that as x increases, y at first increases and then decreases?

F

G

H

J


0 10 12 14 222018162 4 86

Worker Absences

0 50 60 807010 20 4030

Age of Customers


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7SDP1.3 Understand the meaning of, and be able to compute, the minimum, the lower quartile, the median, the upper quartile, and the maximum of a data set.

1 Listed below are the ages of students receiving tutoring.

11, 13, 9, 21, 18, 16, 16, 12, 14, 13, 12, 15

What is the lower quartile of the data?

A 9

B 11

C 12

D 13

2 The following are the speeds of cars, in miles per hour, traveling on a local street.

25, 37, 42, 21, 30, 32, 25

What is the median speed of the cars?

F 25

G 30

H 37

J 42

3 What is the median number of worker absences, as shown in the box-and-whisker plot below?

A 6

B 8

C 10

D 12

4 What is the maximum age of customers entering a store, as shown in thebox-and-whisker plot below?

F 20

G 30

H 50

J 80


Temperatures

Stem Leaf

23456

9 9 0 5 72 5 8 97 7 71 2 3

Key: 2 9 represents 29


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Practice by StandardStatistics, Data Analysis, and Probability 1.3 (continued)

5 Temperatures from around the country are listed in the stem-and-leaf plot below.

What is the minimum temperature?

A 29 degrees

B 42 degrees

C 57 degrees

D 63 degrees

6 Ages of volunteers at a local hospital are listed below:

19, 34, 19, 19, 20, 44, 21, 48,55, 57, 46, 59, 44, 74, 69, 72

What is the maximum age of the volunteers?

F 19

G 34

H 59

J 74

7 A group of students are asked how many brothers and sisters they have. The results are as follows: 3 have none, 6 have 1, 7 have 2, 3 have 3, and 1 has 4. What is the median number of brothers and sisters?

A 1

B 2

C 3

D 4

8 A group of dogs are weighed. The results are as follows: 2 weigh 6 pounds, 4 weigh 8 pounds, 5 weigh 12 pounds, 3 weigh 14 pounds, and 1 weighs 16 pounds. What is the upper quartile of the data?

F 12 pounds

G 13 pounds

H 14 pounds

J 16 pounds

9 All of the students in a certain class are measured to see how tall they are. The results of the measurements are that 1 student is 48 inches tall, 2 are 50 inches tall, 3 are 56 inches tall, 3 are 58 inches tall, 2 are 60 inches tall, and 1 is 64 inches tall. What is the median height of the class?

A 48 inches

B 56 inches

C 57 inches

D 58 inches


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Standards AssessmentStudent Answer Sheet


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Standards Assessment

1 What is the solution to theinequality 4c - 6 > 26?

A c > 8

B c > 32

C c < 8

D c < 32

2 Three less than two times a number n is 18. Which equation shows that relationship?

F 3n - 2 = 18

G 3n + 2 = 18

H 2n - 3 = 18

J 2n + 3 = 18

3 Lisa has $400 in a savings account that pays 3.5% interest compounded annually. How much will she have in the account after 3 years?

A $414.00

B $428.49

C $442.00

D $443.49

4 How many milligrams are in 45 grams?

F 0.45

G 45

H 4,500

J 45,000

5 ( 3 _ 5 )

3

=

A 9 _

125

B 27

_ 125

C 9 _

25

D 27

_ 25

6 The box-and-whisker plot below represents the values of houses sold during the month of July.

What was the upper quartile of the home values?

F $310,000

G $330,000

H $370,000

J $410,000

7 Identify a diagonal in the cube shown below.

A −−

BC

B −−

DF

C −−

EH

D −−

AE


250 300 350 450400

Home Values ($1000s)

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8 What is the value of x if 2x - 5 = -9?

F x = 4

G x = 2

H x = -2

J x = -4

9 Write 7,544,000 in scientific notation.

A 7.544 × 104

B 7.544 × 105

C 7.544 × 106

D 7.544 × 107

10 Evaluate 2(3x - 2)2 - 3(y - 4)2 forx = 3 and y = 6.

F 2

G 24

H 48

J 86

11 The following table shows the cost of taking a taxi.

Which graph in the next column best represents the cost of taking a taxi?

A

B

C

D


Standards Assessment (continued)

Distance Cost ($)

0 4.00

1 4.50

2 5.00

3 5.50

4 6.00

5 6.50

Cost

(dol

lars

)

0 1 2 3 4 5

Distance (miles)

8

7

6

5

4

3

2

1

Cost

(dol

lars

)

0 1 2 3 4 5

Distance (miles)

8

7

6

5

4

3

2

1

Cost

(dol

lars

)

0 1 2 3 4 5

Distance (miles)

8

7

6

5

4

3

2

1

Cost

(dol

lars

)

0 1 2 3 4 5

Distance (miles)

8

7

6

5

4

3

2

1


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12 Which expression below has the same value as 16x4?

F 2(x)4

G 4x · 4xH 2x · 2x · 2xJ 2x · 2x · 2x · 2x

13 Collin earns $75 for 6 hours of work. At that rate, how many hours would she have to work to earn $500?

A 25 hours

B 40 hours

C 80 hours

D 100 hours

14 Philip bought 4 video games for $183.80. All 4 video games were the same price. How much did each video game cost?

F $36.76

G $44.55

H $45.95

J $61.27

15 The scale on a map shows that 1 centimeter represents 5 kilometers. If two points on the map are 8.4 centimeters apart, how far apart are the points in real life?

A 8.4 kilometers

B 21 kilometers

C 42 kilometers

D 84 kilometers

16 Brandon works in a clothing store and is paid a 15% commission on each of his sales. In June he earned $975 in commissions. How much did Brandon sell in June?

F $6300

G $6400

H $6500

J $6600

17 Which expression is equivalent to 4x - 8y?

A 4(2x - y)

B 4(x - 2y)

C 2x(2 - 4y)

D 4x(4 - 2y)

18 What is the volume of the cylinder?(V = πr2h)

F 1,356.48 cubic units

G 2,712.96 cubic units

H 6,104.16 cubic units

J 24,416.64 cubic units



24

18


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19 Find the missing length of the third side of the triangle below.

A 30 centimeters

B 36 centimeters

C 39 centimeters

D 42 centimeters

20 Fran wants to buy an MP3 player that costs $150. She has $42 saved already. She can earn $6 an hour by babysitting on weekends. The equation below shows this relationship. How many hours must Fran work to save the money she needs?

6h + 42 = 150

F 8 hours H 18 hours

G 12 hours J 25 hours

21 Which equation is an example of the Associative Property of Addition?

A 5 × (4 + b) = (5 × 4) + (5 × b)

B 5 + (4 + b) = (5 + 4) + bC 5 + (4 × b) = (5 × 4) + bD 5 + (4 + b) = 5 + 4 + b

22 Rachel started a business selling T-shirts on the beach. She pays $200.00 a week to rent the space. She bought 100 T-shirts of different sizes for $3.00 each. She sells each T-shirt for $12.99. So far, she has sold 29 T-shirts in her first week. What is the minimum number of shirts she has to sell this week in order to make a profit?

F 8 H 12

G 10 J 14

23 Which expression is equivalent to 27b8 _

3b2 ?

A 24b6

B 24b4

C 9b6

D 9b4

24 Which expression has the greatest value?

F ⎪-27⎥

G ⎪-39⎥

H ⎪44⎥

J ⎪12⎥

25 7 _ 8 + 9 _

24 =

A 2 _

3 C 1

1 _

4

B 23

_ 24

D 1 5 _

8



39 cm15 cm


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26 Which graph shows y = 2x3?

F

G

H

J

27 The scatter plot below shows the relationship between the number of hours per week that a basketball team practices and the number of points the team scores in each game that week.

Which statement best describes this relationship?

A As the team members increased their

practice time, their points scored

increased.

B As the team members increased their


decreased.

C As the team decreased their practice

time, their points scored increased.

D As the team members increased their


increased first, and then decreased.

28 An elevator in a downtown office building travels at a rate of 8 feet per second. The building is 28 stories tall, and each story is 10 feet high. How long will it take for the elevator to travel from the ground floor to the top floor?

F 30 seconds H 40 seconds

G 35 seconds J 45 seconds



O

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O

y

x

O

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x

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xO

Poin

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Practice Time(hours)


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29 53 × 55

_ 54 × 52

=

A 0.2

B 5

C 25

D 125

30 The following table describes the typing speeds of four applicants for an administrative assistant position.

Which applicant types the fastest?

F Marcus

G Stephanie

H Craig

J Alissa

31 A cube has a volume of 64 cubic units. Suppose one of the faces of the cube is graphed on a coordinate plane and a vertex is at (3, 3). Which of the following points is a possible location for another vertex of that cube face?

A (0, 0)

B (3, -3)

C (3, 7)

D (7, -3)

32 What is the area of the shaded area inside the square?

F 80 cm2

G 12 cm2

H 244 cm2

J 324 cm2

33 Elena buys a box of computer components for $350. She assembles the computer, and then sells it for $560. How much did Elena mark the price up?

A 50%

B 60%

C 80%

D 120%

34 Determine the coordinates of point C in the figure below after a translation of 3 units up and 4 units left.

F (-1, 3)

G (1, 3)

H (6, -4)

J (1, -3)


Applicant Typing Speed

Marcus 50 words in 1 minute

Stephanie 245 words in 4 minutes

Craig 160 words in 3 minutes

Alissa 110 words in 2 minutes

8 cm

8 cm

10 cm

10 cm 8 cm

10 cm

10 cm

8 cm

O

-2-3-4

21 43-2-3-4

1234

y

x


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35 What is the multiplicative inverse of3 + 2x?

A 3 - 2x

B 2x - 3

C 1 _

3 + 2x

D - 1 _

3 + 2x

36 Alfredo has a calling card with

12 3 _ 4 minutes left on it. After calling

his friend Stacy, Alfredo now has

5 2 _ 3 minutes left on his card. How long

did he talk to Stacy?

F 6 minutes, 35 seconds

G 6 minutes, 45 seconds

H 6 minutes, 55 seconds

J 7 minutes, 5 seconds

37 Ms. Anderson recorded the following test scores from her Grade 7 math class.

73, 85, 91, 80, 69, 84, 92, 88, 75, 80, 72, 94, 87, 75, 86, 81, 80, 72, 90, 68, 79, 81

Which is the lower quartile?

A 73.5

B 74

C 74.5

D 75

38 Which best represents the graph of y = 3x + 4?

F

G

H

J


O

-2-3-4

21 43-2-3-4

1234

y

x

O

-2-3-4

21 43-2-3-4

1234y

x

O

-2-3-4

21 43-2-3-4

1234y

x

O

-2-3-4

21 43-2-3-4

1234

y

x


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39 Renata drove for 4 hours at 55 miles per hour, and then for 3 hours at 35 miles per hour. How far did Renata drive altogether?

A 220 miles

B 245 miles

C 325 miles

D 385 miles

40 Which expression is equivalent to 64 × 68?

F 612

G 632

H 3612

J 3632


A 234 in2

B 468 in2

C 936 in2

D 1008 in2

42 Which of the following has the same value as 4-4 × 4-3?

F 4-12

G 4-7

H 47

J 412

43 What is the slope of the line in the graph?

A -2

B - 1 _

2

C 1 _

2

D 2

44 Identify a chord in the diagram below.

F −−

AD

G −−

CE

H −−

BC

J −−

ED


15 inches

6 inches

18 inches

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45 Which of the following is equivalent to 4.375?

A 31

_ 8

B 33

_ 8

C 35

_ 8

D 37

_ 8

46 A tablecloth measures 2160 square inches. What is the area of the tablecloth in square feet?

F 15 ft2

G 36 ft2

H 144 ft2

J 180 ft2


step when using the least common


9 ?

A ( 5 _

6 ×

3 _

3 ) + (

7 _

9 ×

2 _

2 )

B ( 5 _

6 ×

2 _

2 ) + (

7 _

9 ×

3 _

3 )

C ( 5 _

6 ×

9 _

9 ) + (

7 _

9 ×

6 _

6 )

D ( 5 _

6 ×

6 _

6 ) + (

7 _

9 ×

9 _

9 )

48 Find the value of x in the equation 2 _ 3 x - 6 = 18.

F 8

G 12

H 24

J 36

49 Anita had some change in her change purse. After she gave her friend $0.55, Anita had $1.25 altogether. Which equation can she use to find the original amount of money, m, she had in her change purse?

A 1.25 + m = 0.55

B m × 0.55 = 1.25

C m + 0.55 = 1.25

D m - 0.55 = 1.25

50 √ �� 374 lies between which two integers

on a number line?

F 17 and 18

G 18 and 19

H 19 and 20

J 20 and 21

51 ⎪6 - 10⎥ - ⎪5 - 2⎥ =

A -7

B -1

C 1

D 7



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52 Which of the following numbers is not an irrational number?

F √ � 7

G - 3 _

√ � 16

H

√ � 19 _

2

J π

53 �ABC and �DEF are congruent triangles. What is the length of

−− DE ?

A 6 units

B 12 units

C 18 units

D 36 units

54 A pair of hockey skates is selling for $98.00. The store has them on sale at 25% off. Michael receives a 10% discount on the sale price after making a large purchase at the store. What is the final price Michael paid for the hockey skates?

F $88.20

G $73.50

H $66.15

J $63.70

55 The DVD store is selling 3 DVDs for $19.99. Which graph shows the relationship between the number of DVDs purchased and the total cost?

A

B

C

D


Cost

($)

0 1 2 3 4 5 6 7 8

DVDs Purchased

60

50

40

30

20

10

Cost

($)

0 1 2 3 4 5 6 7 8

DVDs Purchased

60

50

40

30

20

10

Cost

($)

0 1 2 3 4 5 6 7 8

DVDs Purchased

60

50

40

30

20

10

Cost

($)

0 1 2 3 4 5 6 7 8

DVDs Purchased

60

50

40

30

20

10

6

66


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56 Identify the constant in the expression 3x2 - 4x + 5.

F x2

G xH 2

J 5

57 Which fraction is equivalent to 4.12?

A 97

_ 25

B 103

_ 25

C 21

_ 5

D 62

_ 15

58 Brandon recorded the heights of some students in the 7th grade at his school in the stem-and-leaf plot shown below.

What is the height of the tallest student whose height Brandon recorded?

F 5 feet 4 inches

G 5 feet 5 inches

H 5 feet 8 inches

J 5 feet 9 inches

59 The following graph shows how many inches correspond to each number of feet. Which equation represents the line that contains these points?

A y = 6x

B y = 12x

C y = 1 _

12 x

D y = 1 _

6 x

60 In the figure below, N is the midpoint of

−−− KM , and

−− LN is perpendicular to

−−− KM .

What is the length of −−

LN ?

F 8 centimeters

G 12 centimeters

H 16 centimeters

J 20 centimeters


Heights of Students in Grade 7

5 6 = 56 inches

Stem

456

7 8 8 90 1 3 3 5 6 8 9 90 0 1 1 3 4 5 8

Leaves

Inch

es

0 1 2 3 4 5 6 7 8

Feet

90

80

70

60

50

40

30

20

10

24 cm

20 cm


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61 Ian’s car gets an average of 24 miles per gallon of gas. Ian plans to drive 180 miles on Friday, 210 miles on Saturday, and 250 miles on Sunday. How many gallons of gas should he expect to use altogether?

A 22

B 25

C 27

D 30

62 34 · 53 · 26

_ 33 · 54 · 24

=

F 4 _

25

G 6 _

25

H 6 _

5

J 12

_ 5


x _ 4 + 5 = 8

A 6

B 12

C 24

D 48

64 Kia has a resting heart rate of 60 beats per minute. After she exercises for 30 minutes, her heart rate is 84 beats per minute. What is the percent increase or percent decrease of Kia’s heart rate?

F 24% decrease

G 40% decrease

H 24% increase

J 40% increase

65 The following data represent the number of LCD televisions sold by an electronics store over the period of one week. 38, 25, 20, 12, 45, 17, 42, 21These data are shown on the box-and-whisker plot below.

What is the upper quartile of the data?

A 27.50

B 31.50

C 35.00

D 38.00


10 20 30 5040

LCD Televisions Sold


Standards Practice and Periodic Assessments

ReviewerEvelyn R. Brown, Ed.D.

Rockway Middle SchoolLos Angeles, California

CA©08_Gr7_Flipbook_TP_B_879533-81 1CA©08_Gr7_Flipbook_TP_B_879533-81 1 2/19/07 4:28:00 PM2/19/07 4:28:00 PM

Copyright © by The McGraw-Hill Companies, Inc. All rights reserved. Except as permitted under the United States Copyright Act, no part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without prior permission of the publisher.

Send all inquiries to:Glencoe/McGraw-Hill8787 Orion PlaceColumbus, OH 43240-4027

ISBN: 978-0-07-879533-6MHID: 0-07-879533-8 Mastering the California Mathematics Standards, Grade 7 (Standards Practice and Periodic Assessments)Printed in the United States of America.

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California Mathematics, Grade 7, Standards Practice Biii

Contents

California Mathematics Standards, Grade 7 . . . . . . . . . . . . . . . . . . . Biv

Practice by Chapter

Chapter 1 Algebra: Integers . . . . . . . . . . . . . . . . . . . . . . . . . . B1

Chapter 2 Algebra: Rational Numbers . . . . . . . . . . . . . . . . . . . . . B3

Chapter 3 Real Numbers and the Pythagorean Theorem . . . . . . . . . . . B5

Chapter 4 Proportions and Similarity . . . . . . . . . . . . . . . . . . . . . B7

Chapter 5 Percent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . B9

Chapter 6 Geometry and Spatial Reasoning . . . . . . . . . . . . . . . . . B11

Chapter 7 Measurement: Area and Volume . . . . . . . . . . . . . . . . . B13

Chapter 8 Algebra: More Equations and Inequalities . . . . . . . . . . . . B15

Chapter 9 Algebra: Linear Functions . . . . . . . . . . . . . . . . . . . . B17

Chapter 10 Algebra: Nonlinear Functions and Monomials . . . . . . . . . . B19

Chapter 11 Statistics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . B21

Periodic Assessment 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . B23




Periodic Assessments—Student Answer Sheets . . . . . . . . . . . . . . . . . . B41

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Biv California Mathematics, Grade 7, Standards Practice

California Mathematics Standards, Grade 7

= Key Standard * = standard assessed on the CAHSEE

Number Sense

1.0 Students know the properties of, and compute with, rational numbers expressed in a variety of forms:

1.1* Read, write, and compare rational numbers in scientific notation (positive and

negative powers of 10) with approximate numbers using scientific notation.

1.2* Add, subtract, multiply, and divide rational numbers (integers, fractions,

and terminating decimals) and take positive rational numbers to

whole-number powers.

1.3* Convert fractions to decimals and percents and use these representations

in estimations, computations, and applications.

1.4 Differentiate between rational and irrational numbers.

1.5 Know that every rational number is either a terminating or repeating decimal

and be able to convert terminating decimals into reduced fractions.

1.6* Calculate the percentage of increases and decreases of a quantity.

1.7* Solve problems that involve discounts, markups, commissions, and profit

and compute simple and compound interest.

2.0 Students use exponents, powers, and roots and use exponents in working with fractions:

2.1* Understand negative whole-number exponents. Multiply and divide

expressions involving exponents with a common base.

2.2* Add and subtract fractions by using factoring to find common

denominators.

2.3* Multiply, divide, and simplify rational numbers by using exponent rules.

2.4* Use the inverse relationship between raising to a power and extracting the

root of a perfect square integer; for an integer that is not square, determine

without a calculator the two integers between which its square root lies

and explain why.

2.5* Understand the meaning of the absolute value of a number; interpret the

absolute value as the distance of the number from zero on a number line;

and determine the absolute value of real numbers.

Algebra and Functions

1.0 Students express quantitative relationships by using algebraic terminology, expressions, equations, inequalities, and graphs:

1.1* Use variables and appropriate operations to write an expression, an equation,

an inequality, or a system of equations or inequalities that represents a verbal

description (e.g., three less than a number, half as large as area A).

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California Mathematics, Grade 7, Standards Practice Bv

1.2* Use the correct order of operations to evaluate algebraic expressions such as

3(2x + 5)2.

1.3 Simplify numerical expressions by applying properties of rational numbers

(e.g., identity, inverse, distributive, associative, commutative) and justify the

process used.

1.4 Use algebraic terminology (e.g., variable, equation, term, coefficient,

inequality, expression, constant) correctly.

1.5* Represent quantitative relationships graphically and interpret the meaning

of a specific part of a graph in the situation represented by the graph.

2.0 Students interpret and evaluate expressions involving integer powers and simple roots:

2.1* Interpret positive whole-number powers as repeated multiplication and

negative whole-number powers as repeated division or multiplication by

the multiplicative inverse. Simplify and evaluate expressions that include

exponents.

2.2* Multiply and divide monomials; extend the process of taking powers and

extracting roots to monomials when the latter results in a monomial with

an integer exponent.

3.0 Students graph and interpret linear and some nonlinear functions:

3.1* Graph functions of the form y = nx2 and y = nx3 and use in solving

problems.

3.2 Plot the values from the volumes of three-dimensional shapes for various

values of the edge lengths (e.g., cubes with varying edge lengths or a triangle

prism with a fixed height and an equilateral triangle base of varying lengths).

3.3* Graph linear functions, noting that the vertical change (change in y-value)

per unit of horizontal change (change in x-value) is always the same and

know that the ratio (“rise over run”) is called the slope of a graph.

3.4* Plot the values of quantities whose ratios are always the same (e.g., cost

to the number of an item, feet to inches, circumference to diameter of a

circle). Fit a line to the plot and understand that the slope of the line

equals the quantities.

4.0 Students solve simple linear equations and inequalities over the rational numbers:

4.1* Solve two-step linear equations and inequalities in one variable over the

rational numbers, interpret the solution or solutions in the context from

which they arose, and verify the reasonableness of the results.

4.2* Solve multistep problems involving rate, average speed, distance, and time

or a direct variation.


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Bvi California Mathematics, Grade 7, Standards Practice

Measurement and Geometry

1.0 Students choose appropriate units of measure and use ratios to convert within and between measurement systems to solve problems:

1.1* Compare weights, capacities, geometric measures, times, and temperatures

within and between measurement systems (e.g., miles per hour and feet

per second, cubic inches to cubic centimeters)

1.2* Construct and read drawings and models made to scale.

1.3* Use measures expressed as rates (e.g., speed, density) and measures

expressed as products (e.g., person-days) to solve problems; check the

units of the solutions; and use dimensional analysis to check the

reasonableness of the answer.

2.0 Students compute the perimeter, area, and volume of common geometric objects and use the results to find measures of less common objects. They know how perimeter, area, and volume are affected by changes of scale:

2.1* Use formulas routinely for finding the perimeter and area of basic

two-dimensional figures and the surface area and volume of basic three-

dimensional figures, including rectangles, parallelograms, trapezoids,

squares, triangles, circles, prisms, and cylinders.

2.2* Estimate and compute the area of more complex or irregular two-and

three-dimensional figures by breaking the figures down into more basic

geometric objects.

2.3* Compute the length of the perimeter, the surface area of the faces, and the

volume of a three-dimensional object built from rectangular solids.

Understand that when the lengths of all dimensions are multiplied by a scale

factor, the surface area is multiplied by the square of the scale factor and the

volume is multiplied by the cube of the scale factor.

2.4* Relate the changes in measurement with a change of scale to the units

used (e.g., square inches, cubic feet) and to conversions between units

(1 square foot = 144 square inches or [1 ft2] = [144 in2], 1 cubic inch is

approximately 16.38 cubic centimeters or [1 in3] = [16.38 cm3]).

3.0 Students know the Pythagorean theorem and deepen their understanding of plane and solid geometric shapes by constructing figures that meet given conditions and by identifying attributes of figures:

3.1 Identify and construct basic elements of geometric figures (e.g., altitudes,

mid-points, diagonals, angle bisectors, and perpendicular bisectors; central

angles, radii, diameters, and chords of circles) by using a compass and

straightedge.


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California Mathematics, Grade 7, Standards Practice Bvii

3.2* Understand and use coordinate graphs to plot simple figures,

determine lengths and areas related to them, and determine their image

under translations and reflections.

3.3* Know and understand the Pythagorean theorem and its converse and use it

to find the length of the missing side of a right triangle and the lengths of

other line segments and, in some situations, empirically verify the

Pythagorean theorem by direct measurement.

3.4* Demonstrate an understanding of conditions that indicate two

geometrical figures are congruent and what congruence means about the

relationships between the sides and angles of the two figures.

3.5 Construct two-dimensional patterns for three-dimensional models, such as

cylinders, prisms, and cones.

3.6 Identify elements of three-dimensional geometric objects (e.g., diagonals

of rectangular solids) and describe how two or more objects are related in

space (e.g., skew lines, the possible ways three planes might intersect).

Statistics, Data Analysis, and Probability

1.0 Students collect, organize, and represent data sets that have one or more variables and identify relationships among variables within a data set by hand and through the use of an electronic spreadsheet software program:

1.1* Know various forms of display for data sets, including a stem-and-leaf plot

or box-and-whisker plot; use the forms to display a single set of data or to

compare two sets of data.

1.2* Represent two numerical variables on a scatterplot and informally describe

how the data points are distributed and any apparent relationship that

exists between the two variables (e.g., between time spent on homework

and grade level).

1.3 Understand the meaning of, and be able to compute, the minimum, the lower

quartile, the median, the upper quartile, and the maximum of a data set.

Mathematical Reasoning

1.0 Students make decisions about how to approach problems:

1.1* Analyze problems by identifying relationships, distinguishing relevant

from irrelevant information, identifying missing information, sequencing

and prioritizing information, and observing patterns.

1.2* Formulate and justify mathematical conjectures based on a general

description of the mathematical question or problem posed.

1.3 Determine when and how to break a problem into simpler parts.


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Bviii California Mathematics, Grade 7, Standards Practice

2.0 Students use strategies, skills, and concepts in finding solutions:

2.1* Use estimation to verify the reasonableness of calculated results.

2.2 Apply strategies and results from simpler problems to more complex

problems.

2.3* Estimate unknown quantities graphically and solve for them by using

logical reasoning and arithmetic and algebraic techniques.

2.4* Make and test conjectures by using both inductive and deductive

reasoning.

2.5 Use a variety of methods, such as words, numbers, symbols, charts, graphs,

tables, diagrams, and models, to explain mathematical reasoning.

2.6 Express the solution clearly and logically by using the appropriate

mathematical notation and terms and clear language; support solutions with

evidence in both verbal and symbolic work.

2.7 Indicate the relative advantages of exact and approximate solutions to

problems and give answers to a specified degree of accuracy.

2.8 Make precise calculations and check the validity of the results from the

context of the problem.

3.0 Students determine a solution is complete and move beyond a particular problem by generalizing to other situations:

3.1 Evaluate the reasonableness of the solution in the context of the original

situation.

3.2 Note the method of deriving the solution and demonstrate a conceptual

understanding of the derivation by solving similar problems.

3.3* Develop generalizations of the results obtained and the strategies used and

apply them to new problem situations.

All Mathematical Reasoning Standards are embedded in the questions on the Grade 7 CST.


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Number of Subscribers by Month

Num

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f Sub

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Month

7000600050004000300020001000

0 Jan Feb Mar Apr May Jun

California Mathematics, Grade 7, Standards Practice B1

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Practice by ChapterChapter 1 Algebra: Integers

1 If x = 6 and y = 2, then 8(x - 4 ) y =

A 16.

B 32.

C 64.

D 256.

2 Which of the following expressions is equivalent to 9(a + b)?

F 9a + bG a + 9bH 9(b + a)

J 9(a × b)

3 Which of the following statements is true about 8x + 3y = 14?

A 8x + 3y is an equation, and 14 is

a term.

B 8x + 3y is a term, and 14 is an

expression.

C 8x + 3y = 14 is an expression, and

14 is an equation.

D 8x + 3y = 14 is an equation, and

8x + 3y is an expression.

4 If a = 6 and b = 7, then which of the following statements is true?

F ⎪a - b⎥ > ⎪b - a⎥

G ⎪a - b⎥ < ⎪b - a⎥

H ⎪a - b⎥ = ⎪b - a⎥

J ⎪a - b⎥ = - ⎪b - a⎥

5 The graph below shows the number of subscribers to a magazine in the first 6 months of the year. Which of the following statements is true?

A The increase in the number of

subscribers was the same from January to

February as it was from May to June.

B The increase in the number of

subscribers was larger from January to

February than it was from May to June.

C If the trend continues, the increase in

the number of subscribers from June to

July will be smaller than it was from

May to June.

D If the trend continues, the increase in

the number of subscribers from June to

July will be larger than it was from

May to June.

6 ( 4 _ 7 )

3 =

F 64

_ 343

G 16

_ 49

H 12

_ 21

J 7 _

10

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0

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(Dol

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1 2 3 4 5 6

Number of Children

B2 California Mathematics, Grade 7, Standards Practice

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Practice by ChapterChapter 1 (continued)

7 The product of 9 and y is subtracted from the product of 4 and x, and the difference is 3. Which of the following equations shows that relationship?

A 4x - 9y = 3

B 9y - 4x = 3

C 4 _ x -

9 _ y = 3

D 9 _ y -

4 _ x = 3

8 If a = 3 and b = 4, then ab _

9 =

F 1 _

81 . H 1.

G 1 _

3 . J 9.

9 Which of the following is an example of the Associative Property of Addition?

A (a + b) + c = (b + a) + cB (a + b) + c = a + (b + c)

C a(b + c) = ab + acD (a + b) × 1 = a + b

10 ( 3 _ 4 ÷ 5 _

6 ) ÷ ( 9 _

8 ÷ 7 _

6 ) =

F 11

_ 15

H 13

_ 15

G 4 _

5 J

14 _

15

11 When simplified, which of the following expressions is farthest from zero on a number line?

A ⎪(-3 ) 2 ⎥

B ⎪3 - 10⎥

C ⎪(-2 ) 3 ⎥

D ⎪-8 + 2⎥

12 The monthly operating cost, in dollars, of a small daycare center is shown in the graph below.

What is the monthly cost for each additional child?

F $5

G $100

H $500

J $1000



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Practice by ChapterChapter 2 Algebra: Rational Numbers

1 Mariah has only 3 _ 8 the amount of free

time that Romario has. If the amount of free time that Romario has is

represented by x, which of the following expressions represents how much free time Mariah has?

A 0.25xB 0.375xC 0.5xD 0.675x

2 Gina has 2.65 times as many pairs of shoes as the average person. If the average person has y pairs of shoes, which of the following expressions is equal to the number of pairs of shoes that Gina has?

F 20y

_ 53

G 20y

_ 33

H 33y

_ 20

J 53y

_ 20

3 How many terms are in the expression 5x7 + 4y6 + 8?

A 2

B 3

C 4

D 5

4 Which list of rational numbers is in order from least to greatest?

F 1 _

500 ,

1 _

50 , 0.00002, 0.0002, 0.2

G 0.00002, 0.0002, 1 _

500 ,

1 _

50 , 0.2

H 0.2, 1 _

50 ,

1 _

500 , 0.0002, 0.00002

J 0.2, 0.0002, 0.00002, 1 _

50 ,

1 _

500

5 Rodney had 5 _ 7 of a pie left over from

last night’s dessert. After tonight’s

dessert, Rodney has 2 _ 3 of the pie that

remained from last night’s dessert. How much of the original pie does Rodney now have?

A 10

_ 21

C 7 _

10

B 11

_ 21

D 14

_ 15

6 Kimberly is a softball pitcher, and she threw her first pitch at 1850 yards per minute, her second pitch at 100 feet per second, her third pitch at 30 yards per second, and her fourth pitch at 6060 feet per minute. Which of Kimberly’s pitches was the fastest?

F her first pitch

G her second pitch

H her third pitch

J her fourth pitch



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7 To simplify 17 _ 20

+ 2 _ 15

, which of the

following operations must be done first?

A Multiply 17

_ 20

by 4 _

3 , and then

multiply 2 _

15 by

3 _

4 .

B Multiply 17

_ 20

by 4 _

4 , and then

multiply 2 _

15 by

3 _

3 .

C Multiply 17

_ 20

by 3 _

3 , and then

multiply 2 _

15 by

4 _

4 .

D Multiply 17

_ 20

by 3 _

4 , and then

multiply 2 _

15 by

4 _

3 .

8 The sum of a and 7 is equal to 8 times the product of b and c. Which of the following equations shows this relationship?

F a + 7 = 8bcG 7a = 8(b + c)

H a + 7 = 8(b + c)

J 7a = 8bc

9 x-1 _

y-2 · ( x - y ) -3 =

A x4

_ y5 C

x3

_ y6

B y5

_ x4 D

y6

_ x3

10 Which of the following expressions has the same value as 9-7?

F 9 ÷ 9 ÷ 9 ÷ 9 ÷ 9 ÷ 9 ÷ 9

G 1 × 9 ÷ 9 ÷ 9 ÷ 9 ÷ 9 ÷ 9 ÷ 9

H 1 ÷ 9 ÷ 9 ÷ 9 ÷ 9 ÷ 9 ÷ 9

J 1 ÷ 9 ÷ 9 ÷ 9 ÷ 9 ÷ 9 ÷ 9 ÷ 9

11 Conrad and Yufi both built sand

castles. Conrad’s sand castle is 5 _ 4 as big

as Yufi’s sand castle. If the size of Yufi’s sand castle is represented by m, which expression represents the size of Conrad’s sand castle?

A 0.8mB 0.9mC 1.25mD 1.35m

12 The bean plants in Mesha’s garden produced 0.3125 times the number of beans that they produced last year. Let z equal the number of beans produced by Mesha’s bean plants last year. Which of the following expressions represents the number of beans produced by Mesha’s bean plants this year?

F z _

16

G z _

8

H 5z

_ 16

J 5z

_ 8


y

xO

12345678

1 2 3 4 5 6 7 8

(2, 7)

(5, 3)


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Practice by ChapterChapter 3 Real Numbers and the Pythagorean Theorem

1 √ �� 144a6b18c12 =

A 12a2b6c4

B 12a3b9c6

C 14a2b6c4

D 72a3b9c6

2 Desmond bought 3 gallons of milk at $2.45 per gallon and 5 cartons of eggs at $1.79 per carton. What was the total amount of money that Desmond spent?

F $7.35

G $8.95

H $14.70

J $16.30

3 Which of the following is a false statement about the inequality 5x3 - 7 < 33?

A Five is a coefficient of one of the terms

in the inequality.

B There is an expression on both sides of

the inequality.

C One of the terms in the inequality

includes a constant raised to the power 3.

D One of the terms in the inequality

includes a variable raised to the power 3.


F 3.31662479…

G 3.60555127

H √ �� 169

J 7 _

11

5 The measure of the hypotenuse of an isosceles right triangle is 16. What is the measure of one of the legs?

A 8

B 8 √ � 2

C 16

D 16 √ � 2

6 What is the straight-line distance between the two points plotted on the coordinate graph shown below?

F 5

G 9

H 16

J 25



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7 Which of the following expressions is equal to ( √ � 25 )2?

A √ � 52

B √ �� 252

C √ �� 1252

D √ �� 6252

8 A crate containing 525 apples weighs 80.3 kilograms. The weight of the crate itself is 6.8 kilograms. If each of the apples has the same weight, how much does one apple weigh?

F 0.007 kilograms

G 0.014 kilograms

H 0.07 kilograms

J 0.14 kilograms

9 An expression consists of three terms that are added together. The first term has a coefficient of 5, the second term consists of two variables that are multiplied together, and the third term is a constant. Which of the following expressions could this be a description of?

A 5x2 + xy + 18

B 2x5 + xy + 18

C 5x2 + xy + yD 5x2 + xy + 18y


F π

G π × 2

H 3.14159265…

J 22

_ 7

11 The measure of one leg of a right

triangle is 3 _ 4 the length of the other leg

of the right triangle. If the measure of the second leg of the right triangle is z, what is the measure of the hypotenuse of the right triangle in terms of z?

A z _

4

B 3z

_ 4

C 5z

_ 4

D 7z

_ 4

12 The straight-line distance between the points (10, 2) and (x, 12) on a coordinate graph is 12. If x is positive, what is the value of x?

F -10

G -2

H 14

J 22


2018161412108642

0

Perim

eter

1 2 3 4 5 6

Side Length


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Practice by ChapterChapter 4 Proportions and Similarity

1 For the first 4 hours of a 6-hour flight, an airplane traveled at 480 miles per hour. Then the wind changed, and the airplane traveled at 420 miles per hour for the remaining 2 hours of the flight. What was the airplane’s average speed?

A 440 miles per hour

B 450 miles per hour

C 460 miles per hour

D 470 miles per hour

2 To qualify for a marathon, Ndudi must run 26 miles at a pace of 8 miles per hour. If Ndudi runs the 26 miles at 11 feet per second, will Ndudi qualify?

F Yes, he’ll qualify with less than

10 minutes to spare.

G Yes, he’ll qualify with more than

10 minutes to spare.

H No, he’ll miss qualifying by less than

10 minutes.

J No, he’ll miss qualifying by more than

10 minutes.

3 So far, Dahlia has raised 19 _ 20

of the

money that she needs to raise for a walk-a-thon. Let w represent the amount of money that she needs to raise for the walkathon. Which of the expressions represents the amount of

money she has raised so far?

A 0.19w C 0.91wB 0.9w D 0.95w

4 Mina’s toy box has a volume of 7 cubic feet. What is the volume of Mina’s toy box in cubic inches?

F 84

G 1,728

H 12,096

J 20,736

5 The following graph shows the relationship between the perimeter of a regular geometric figure and the length of one of its sides. How many sides does the figure have?

A 3 C 5

B 4 D 6

6 Which of the following measurements is the greatest: 3.75 square feet, 500 square inches, 3250 square centimeters, or 0.3 square meters?

F 3.75 ft2

G 500 in2

H 3250 cm2

J 0.3 m2



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7 Marcella has a dollhouse that was modeled after, and built to the scale of, a real house. The height of the garage door on Marcella’s dollhouse is 1 foot. If 1 inch on Marcella’s dollhouse is equal to 0.75 foot on the real house that it is modeled after, what is the height of the garage door on the real house?

A 0.75 foot

B 3 feet

C 4 feet

D 9 feet

8 A group of tourists rented two canoes. The first canoe traveled at 12 miles per hour for 35 minutes, while the second canoe traveled at 8 miles per hour for 45 minutes. Which of the following statements is true?

F The first canoe traveled 1 mile more

than the second canoe.

G The second canoe traveled 1 mile more

than the first canoe.

H The first canoe traveled 4 miles more

than the second canoe.

J The second canoe traveled 4 miles

more than the first canoe.

9 How many cubic millimeters are in 10 cubic kilometers?

A 106

B 107

C 1018

D 1019

10 A map is drawn to a scale of 1:2400. How long would the image be on the map of a soccer field that is 120 yards long?

F 0.5 inch

G 1.8 inches

H 2.0 inches

J 3.6 inches

11 An ice-cream shop did 9 _ 4 the amount in

sales last year as it did the year before. If the shop did $350,000 in sales the year before last, which of the following expressions represents the amount in sales it did last year in dollars?

A 350,000 × 1.25

B 350,000 × 1.5

C 350,000 × 2.25

D 350,000 × 2.5

12 A scientist calculated the density of a substance to be 3000 kilograms per cubic meter. What is the density of the substance in kilograms per cubic kilometer?

F 3 × 106

G 3 × 109

H 3 × 1012

J 3 × 1015



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Practice by ChapterChapter 5 Percent

1 In a jellybean jar, 3 _ 40

of the jellybeans

are green. What percent of the

jellybeans in the jar are green?

A 0.075%

B 0.75%

C 7.5%

D 75%

2 Hakeem, Ted, Roberto, and Fred will

all soon wed. They all purchased the

same type of tuxedo with the same

original price at a discount, but since

they bought their tuxedos at different

stores, their discounts were different.

Hakeem got 30 percent off, Ted got 2 _ 5

off, Roberto purchased his tuxedo for

0.65 of the original price, and Fred

purchased his tuxedo for 3 _ 4 of the

original price. Who paid the most for

his tuxedo?

F Hakeem

G Ted

H Roberto

J Fred

3 Which term in the expression on the right side of the equation x ÷ 8 = y - 3 is a variable?

A xB x ÷ 8

C yD y - 3

4 A used car salesman receives a 15-percent commission on any cars he sells. If he sold 1 car for $12,500 and another car for $16,000 last month, how much did he make in commissions last month?

F $1,875

G $2,400

H $4,275

J $4,800

5 The number of students in a yoga class increased from 14 to 42. What is the percent increase in the number of students in the yoga class?

A 100%

B 200%

C 300%

D 400%

6 Charmain needs to score 90 percent on her final exam to get an A, 80 percent to get a B, 70 percent to get a C, and 60 percent to get a D. If there are 3 sections on the exam, and she scored

13 _ 16

on the first section, 7 _ 8 on the second

section, and 3 _ 4 on the third section, what

grade did she receive on the exam?

F A

G B

H C

J D



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7 Sari, Rakim, Candy, and Amos each invested $1000. After one year, Sari

had 31 _ 20

of her initial investment, Rakim

had 108% of his initial investment, Candy had 1.7 of her initial investment,

and Amos had 3 _ 2 of his initial

investment. Who had the most money after 1 year?

A Sari

B Rakim

C Candy

D Amos

8 Which of the following might not be present in an equation?

F variable

G term

H equal sign

J expression

9 Bethany bought a computer scanner from an online auction site for $280.00, and then sold it on the same auction site for a 22-percent profit. How much did Bethany sell the computer scanner for?

A $61.60

B $218.40

C $246.40

D $341.60

10 In order to become more physically active, Morris decreased the number of hours of television he watches per week from 18 hours to 13.5 hours. What is the percent decrease in the number of hours of television that Morris watches per week?

F 20%

G 25%

H 50%

J 75%

11 Ivy received 416 votes for class president out of 520 votes cast. What percent of the vote did Ivy receive?

A 80%

B 82%

C 84%

D 86%

12 Yesterday the price of gas was $2.20 per gallon, and today it is $2.53 per gallon. What was the percent of increase in the price of gas from yesterday to today?

F 15%

G 20%

H 115%

J 120%


1

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1 2 3 4 5 6 7 8

(5, 8)

(5, 2)

(8, 6)(2, 6)


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1 A line segment has endpoints of (5, 9) and (13, 21) on a coordinate graph. What is the midpoint of the line segment?

A (8, 15)

B (9, 15)

C (9, 16)

D (8, 16)

2 The circle below is divided into eighths.

Which of the following expressions represents the measure of ∠1?

F (180 × 0.125)˚

G (180 × 0.375)˚

H (360 × 0.125)˚

J (360 × 0.375)˚

3 A regular decagon is a polygon with 10 sides, all of which are equal in length. The perimeter of a certain regular decagon is y. Which of the following expressions represents the length of one of the sides of the regular decagon?

A y × 10

B y ÷ 10

C y + 10

D y10

4 �ABC and �DEF are congruent. If the area of �ABC is 80, what is the area of �DEF?

F 40

G 80

H 120

J 160

5 Point P is located at (2, 5). What is the image of point P under a translation of 3 units right and 2 units down?

A (5, 3)

B (5, 7)

C (-1, 3)

D (0, 8)

6 Which of the following is true about −−

AB and

−− CD , as shown below?

F −−

AB is a perpendicular bisector of −−

CD .

G −−

CD is a perpendicular bisector of −−

AB .

H −−

AB is the midpoint of −−

CD .

J −−

CD is the midpoint of −−

AB .

Practice by ChapterChapter 6 Geometry and Spatial Reasoning


xO

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7 Juwan has drawn a circle with 2

chords. The first chord has a length

that is 1 _ 2 the length of the second chord.

The length of the second chord is m.

Which of the following expressions

represents the length of the first

chord?

A 0.05 C 0.5

B 0.05 × m D 0.5 × m

8 The perimeter of Yorba’s garden is 2 feet less than 3 times the perimeter of Ming’s garden If the perimeter of Ming’s garden is P, what is the perimeter of Yorba’s garden?

F P - 2

G 2P - 3

H 3P - 2

J 3P + 2

9 Are any two squares always congruent? If not, why?

A No, the sides of one square aren’t

always equal in length to the sides of

another square.

B No, the angles of one square aren’t

always equal in measurement to the

angles of another square.

C No, the sides of one square aren’t always

equal in length to the sides of another

square, and the angles of one square

aren’t always equal in measurement to

the angles of another square.

D Yes, two squares are always congruent.

10 The two triangles shown below are reflections of each other. What is the line of symmetry?

F the x-axis H the y-axis

G the line m J the line n

11 Rochelle has drawn two circles.

The diameter of the first circle is 1 _ 5

the diameter of the second circle. If the diameter of the second circle is d, which of the following expressions represents the area of the first circle?

A π × 0.01 × dB π × 0.1 × dC π × 0.01 × d2

D π × 0.1 × d2

12 The area of a rectangle is 96 square centimeters. If the height of the rectangle is h centimeters, which of the following expressions represents the length of the base of the rectangle in centimeters?

F 96 + hG 96 - hH 96 × hJ 96 ÷ h



2 in.

3 in.

1 in.

4 m

12 m


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Practice by ChapterChapter 7 Measurement: Area and Volume

1 The surface area of a rectangular solid is 22 square inches. The lengths of the sides of a similar rectangular solid are 3 times the side lengths of the first rectangular solid. What is the surface area of the second rectangular solid?

A 25 in2

B 66 in2

C 198 in2

D 484 in2

2 The length of a side of the larger square is 4 meters. What is the area of the shaded portion of the figure?

F 5.66 m2

G 8 m2

H 11.31 m2

J 12 m2

3 Which statement about two lines in three-dimensional space is not true?

A The intersection of the lines could be a

single point.

B The intersection of the lines could be a

segment.

C The lines could be parallel.

D The lines could be skew lines, which

are neither intersecting nor parallel.

4 If it takes the pilot of a jet aircraft 1 minute to correct her course, what is the minimum distance that must be maintained between any two jets that are traveling at 300 miles per hour?

F 60 miles

G 30 miles

H 10 mile

J 1 mile

5 What is the area of the parallelogram shown below? (A = b × h)

A 96 m2

B 48 m2

C 24 m2

D 16 m2


2 cm

4 cm

3 cm

2.5 cm

2.5 cm

5 in.

4 in.4 in. 6 in.

7 in.


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6 What is the shaded part of the figure shown below called?

F vertex

G edge

H face

J diagonal

7 Nancy’s car will travel 38 miles on a gallon of gasoline. The price of gasoline is $2.50 per gallon. How much money will Nancy need for gasoline to make the 2800-mile drive from San Diego to New York?

A $200.00

B $300.00

C $400.00

D $500.00

8 What is the surface area of the rectangular prism shown below?

F 52 cm2

G 26 cm2

H 24 cm2

J 9 cm2

9 Which line segment bisects −−

BC in the triangle shown below?

A −−

AD

B −−

CD

C −−

AE

D −−

BD

10 What is the volume of the solid figure shown below?

F 390 in3

G 430 in3

H 550 in3

J 3360 in3



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1 Which of the following terms most accurately describes the 3 in the expression below?

2x - 5y3 + 12

A variable

B coefficient

C exponent

D term

2 Which of the following expressions

describes a variable (y) that equals

4 more than 1 _ 5 of that variable?

F (4 + y)

_ 5 = y

G y = 4 + y _

5

H y _

5 = y + 4

J 4 + y = y _

5

3 Which of the following expressions is equivalent to 3x + 12?

A 1 _

4 (48 + 12x)

B 3(x + 12)

C 4(3x + 3)

D (12 + 3)x

4 Which of the following operations will not change the value of any number?

F multiplication by zero

G division by 1

H division by zero

J adding 1

5 Solve the following equation.

5x - 2 = 7

A x = 1

B x = 5

_ 9

C x = 9 _

5

D x = 4

6 Cube A has side length s. The sides of cube B are half the length of the sides of cube A. Which of the following expressions represents the difference in their volumes?

F s3 - 2

G (s - 2)3

H s3 - ( s _ 2 ) 3

J s3 - s3

_ 2

Practice by ChapterChapter 8 Algebra: More Equations and Inequalities



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7 Solve the following equation for x.

3x - 9 = 2x - 8

A x = 17

B x = 3.4

C x = 3

D x = 1

8 What is the coefficient of the variable y in the following equation?

3x + y = 7

F The variable y has no coefficient.

G 0

H -1

J 1

9 Which of the following properties of real numbers is used in the equation below?

12x(x - 3y - 7) = 12x(x - 7 - 3y)

A Commutative Property of Subtraction

B Reflexive Property

C Commutative Property of Addition

D Distributive Property

10 Which inequality shows the following relationship?

3 less than 4 times a number is greater than or equal to 2 times that number.

F 3 - 4x ≥ 2xG 4x - 3 ≥ 2xH 4x ≥ 2x -3

J 4x - 3 = 2x

11 In the expression below, which of the following coefficients is shown in exactly two terms?

2x3 + 9y - 3y3 + 9x2

A 2

B 3

C 9

D x

12 Solve the following inequality for y.

3y + 9 ≥ 2

F y ≥ - 7 _

3

G y ≤ - 7 _

3

H y ≥ - 3 _

7

J y ≤ - 7 _

3



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Practice by ChapterChapter 9 Algebra: Linear Functions

1 Which equation is represented by the following graph?

A y = 2x - 1

B y = -2x - 1

C y = 2x + 1

D y = -x + 1

2 A train travels at 90 miles per hour for 315 miles, and then reduces its speed to 80 miles per hour for 560 miles. About how long has the train been traveling for?

F 5 hours

G 7 hours

H 9 hours

J 11 hours

3 When a number x is multiplied by 3, the result is greater than when 2 is added to x. Which of the following inequalities represents this?

A 3x > 2 + xB x > 2 + 3xC 3x + 2 > xD 3x < 2 + x

4 Oranges can be purchased from the grocery store at a price of 5 for $2. Which of the following graphs represents this relationship?

F

G

H

J

O

-2-3-4

21 43-2-3-4

1234

y

x

$8

$6

$4

$2

0

Tota

l Cos

t

2 4 6 8 10 12 14 16 18

Number of Oranges

2 4 6 8 10 12 14 16 18

Number of Oranges

$8

$6

$4

$2

0To

tal C

ost

2 4 6 8 10 12 14 16 18

Number of Oranges

$8

$6

$4

$2

0

Tota

l Cos

t

2 4 6 8 10 12 14 16 18

Number of Oranges

$8

$6

$4

$2

0

Tota

l Cos

t


1 2 3 4 5 6 7 8 9 10

Minutes

$8

$6

$4

$2

0

Tota

l Cos

t

y

xO

Am

ou

nt

Sold

(gal

lon

s)

Price


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5 The following graph shows the monthly cost of a long-distance calling plan, based on how many minutes are used. What does the slope of the graph represent?

A the cost of zero minutes of

long-distance calls

B the cost per additional minute of

long-distance calls

C the total cost of long-distance calls

D the number of minutes $1 can buy

6 Adam is running in a 5-mile race. He runs the first mile in 8 minutes. What must his average speed be for the last 4 miles in order for his overall average speed for the race to be 7 minutes per mile?

F 6 minutes per mile

G 6.5 minutes per miles

H 6.75 minutes per miles

J 7 minutes per mile

7 The following scatter plot shows the relationship between the price of gasoline and the number of gallons sold at a particular gas station.

Which of the following statements best describes the relationship between the price of gasoline and the number of gallons sold?

A As the price increases, the number of

gallons sold increases.

B As the price increases, the number of

gallons sold stays the same.

C As the price increases, the number of

gallons sold decreases at first and then

increases.

D As the price increases, the number of

gallons sold decreases.

8 If 3 is added to some number x, and the resulting quantity is then squared, the result is 15. Which of the following equations represents this relationship?

F 3 + x = 152

G 3 + x2 = 15

H (3 + x)2 = 15

J 32 + x2 = 15


Boat Rentals

1 2 3 4 5

3530252015105

0

Cost

O

-2-3-4

21 43-2-3-4

1234

y

x

O

-2-3-4

21 43-2-3-4

1234

y

x

O

-2-3-4

21 43-2-3-4

1234

y

x

O

-2-3-4

21 43-2-3-4

1234

y

x


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Practice by ChapterChapter 10 Algebra: Nonlinear Functions and Monomials

1 The table below shows the cost of renting a boat at a lake.

How much does each additional hour add to the price?

A $5

B $10

C $15

D $20

2 Which of the following expressions is equivalent to 9-3 × 9-6?

F 9-18

G 9-9

H 9-6

J 9-3


equivalent to 12x3y5

_ 4x2y

?

A 48x5y6

B 8xy4

C 3xy6

D 3xy4

4 Which of the following graphs shows the expression shown below?

y = - 1 _ 2 x2

F

G

H

J


1 2 3 4 5 6

Liters of Water

654321

0

Mas

s (k

g)

1 2 3 4 5 6

Liters of Water

654321

0

Mas

s (k

g)

1 2 3 4 5 6

Liters of Water

654321

0

Mas

s (k

g)

1 2 3 4 5 6

Liters of Water

654321

0

Mas

s (k

g)


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5 Which of the following expressions is equivalent to 3-2 × 3-5 ÷ 34?

A 3-11

B 3-3

C 310

D 340

6 Which of the following expressions is equivalent to the following expression?

5a2 ∙ 7ab2

F 12a2b2

G 12a3b2

H 35a2b2

J 35a3b2

7 Which of the following expressions has the same value as n-4?

A n _ 4

B 1 _

4n

C 1 _ n ∙ 1 _ n ∙ 1 _ n ∙ 1 _ n

D n ∙ n ∙ n ∙ n

8 The table below shows the mass of a 5-gallon bucket filled with different amounts of water.

Liters of Water 0 1 2 3 4 5

Mass in Kilograms 0.5 1.5 2.5 3.5 4.5 5.5

Which of the following graphs best represents the data shown in the table?

F

G

H

J



60° 70° 80° 100°90°

Points Scored


Stem Leaves

012

5 8 90 0 1 2 2 2 3 4 5 80 0

50 55 60 65

50 55 60 65

50 55 60 65

50 55 60 65


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Practice by ChapterChapter 11 Statistics

1 The box-and-whisker plot below represents the daily high temperatures in degrees Fahrenheit at an amusement park during the summer.

What was the highest temperature recorded at the amusement park during the summer?

A 62°

B 78°

C 96°

D 100°

2 The stem-and-leaf plot below shows the number of points Carlos scored in each basketball game he has played in this season.

What is the median number of points scored?

F 5

G 8

H 12

J 15

3 Angelina measured the heights in inches of her friends and recorded the data below:

58, 50, 52, 55, 64, 55,53, 58, 57, 57, 60, 53

Which of the following box-and-whisper plots represents Angelina’s data?

A

B

C

D

4 A group of twenty students received the following grades on a math test: four received an 84, five received an 88, six received a 90, three received a 94, and two received a 98. What is the median grade?

F 88

G 90

H 92

J 98


50 10 15 20

Chicago weekly snowfall

New York weekly snowfall 50 55 60

Points Scored

Key: 6 0 = 60 inches

Stem Leaves

56

5 6 8 90 0 1 2 2 2 3 4 5 5 7


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5 The amount of snow each week was measured in New York City and Chicago over a certain winter. The data are represented in the two box-and-whisker plots below. Which city had the higher median snowfall?

A New York City

B Chicago

C They are the same.

D It is impossible to determine from

these plots.

6 A group of fifteen dogs were weighed with the following results: three weighed 5 pounds, four weighed 8 pounds, five weighed 10 pounds, two weighed 12 pounds, and one weighed 15 pounds. What is the upper quartile of these data?

F 8 pounds

G 10 pounds

H 12 pounds

J 15 pounds

7 A farmer measured the heights of his ten horses and ponies. The results of the data are summarized in the box-and-whisker plot below.

What is the difference in height between the tallest horse and the shortest pony?

A 2 inches

B 6 inches

C 8 inches

D 12 inches

8 The stem-and-leaf plot below shows the heights in inches of boys in Justin’s class.

How tall is the shortest boy?

F 50 inches

G 55 inches

H 59 inches

J 60 inches



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1 Which expression below has the same value as z4?

A 4zB z ÷ 4

C z × z × z × zD 4z × 4z × 4z × 4z

2 Which of the following fractions is the same as 0.16?

F 4 _

100

G 4 _

25

H 16

_ 25

J 4 _

5

3 Which of the following has the same value as 3-4 ÷ 35?

A 3-20 C 31

B 3-9 D 39

4 Kishore owns 12 DVDs. He goes shopping and buys d DVDs, giving him a total of 16 DVDs. Which of the following equations shows this relationship?

F 12 + d = 16

G 12d = 16

H 12 - d = 16

J 16 + d = 12

5 ⎪8 - 14⎥ + ⎪9 - 12⎥ =

A -9

B 1

C 9

D 43

6 Lisa paid $1.75 for a slice of pizza. If there are 8 slices in one pizza, how much does one pizza cost?

F $8.00

G $8.75

H $9.75

J $14.00

7 What is the coefficient (or coefficients) in the following expression?

25 + 5h

A 25, 5

B hC +

D 5

8 Tyrone is buying a new jacket that

regularly costs $45, but is on sale for

1 _ 5 off. Which expression can he use to

find the discount on the jacket?

F 0.02 × $45

G 0.15 × $45

H 0.20 × $45

J 0.50 × $45

Periodic Assessment 1

B23-B26_Gr7_PA-879533-8.indd 23B23-B26_Gr7_PA-879533-8.indd 23 2/14/07 10:26:09 PM2/14/07 10:26:09 PM

Pric

e (d

olla

rs)

0 2

403530252015105

4 6 8 10 12 14 16 18 20

Number of Goldfish

Pric

e (d

olla

rs)

0 2

403530252015105

4 6 8 10 12 14 16 18 20

Number of Goldfish

Pric

e (d

olla

rs)

0 2

403530252015105

4 6 8 10 12 14 16 18 20

Number of Goldfish

Pric

e (d

olla

rs)

0 2

403530252015105

4 6 8 10 12 14 16 18 20

Number of Goldfish


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9 Which of the following is not an irrational number?

A √ � 2

B √ � 7

C √ � 24

D √ � 25

10 Which of the following expressions is equivalent to 6x + 8y?

F 48(x + y)

G 14xyH 6(x + 2y)

J 2(3x + 4y)

11 54 · 23 · 42

_ 53 · 22 · 43

=

A 2 _

5

B 1

C 5 _

2

D 10

12 José is considering buying some goldfish. The table below shows the prices for buying various numbers of goldfish.

Number of Goldfi sh 0 5 8 12 17 20

Price (dollars) 0 10 16 24 34 40

Which of the following graphs best represents these prices?

F

G

H

J

Periodic Assessment 1 (continued)


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621 43 5 7


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13 Which of the following expressions shows the number 0.000012 in scientific notation?

A 1.2 × 10-6

B 1.2 × 10-5

C 12 × 10-5

D 1.2 × 105

14 Jack is buying motor oil for his car. What is the least amount of money he can pay if he wants to buy 12 quarts?

Motor Oil Description

Brand 1 $1.00 per quart

Brand 2 $3.00 per 4 quarts



F $3.00 H $9.00

G $5.00 J $15.00

15 Which of the following is equivalent to 3.2?

A 5 _

16

B 1 _

2

C 3 _

2

D 16

_ 5

16 Mary is using a recipe that calls for

3 _ 4 cup of flour and 5 _

6 cup of sugar.

Which of the following shows the next

step using the least common


6 ?

F ( 3 _

4 ×

5 _

5 ) + (

5 _

6 ×

3 _

3 )

G ( 3 _

4 ×

3 _

3 ) + (

5 _

6 ×

2 _

2 )

H ( 3 _

4 ×

4 _

4 ) + (

5 _

6 ×

6 _

6 )

J ( 3 _

4 ×

2 _

2 ) + (

5 _

6 ×

3 _

3 )

17 What is the area of the rectangle plotted on the graph below? The units are meters.

A 4 m2

B 5 m2

C 15 m2

D 56 m2



5 ft

13 ft


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18 A 13-foot ladder rests against the side of a building. The base of the ladder is 5 feet from the building.

What is the distance from the top of the ladder to the ground?

F 11.3 ft

G 12.0 ft

H 13.0 ft

J 14.3 ft

19 If x = 5 and y = 4, then 8x - 2xy =

A 0.

B 6.

C 70.

D 80.

20 √ �� 169 =

F 13

G 23

H 33

J 43

21 Minh is buying shoes that are regularly $59.00. The shoes are on sale for 2 _

5 off.

a. What is the discount written as a

percent?

b. Write an expression that Minh can use

to find the discount on the shoes.

c. Find the amount of the discount.



12 in. 12 in.

28 in.

28 in.

6 in. 6 in.

14 in.

14 in.

12 in. 12 in

28 in.

28 in.

12 in. 12 in.

12 in.

12 in.

10 in. 10 in.

28 in.

28 in.


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1 Which of the following rectangles is congruent to the rectangle below?

A

B

C

D

2 The chart below describes the speeds of four frogs.

Frog Description

#1 travels 40 feet in 3 minutes

#2 travels 9 feet in 1 minute

#3 travels 20 feet in 120 seconds

#4 travels 3 feet in 15 seconds

Which frog is the fastest?

F Frog #1 H Frog #3

G Frog #2 J Frog #4

3 A store buys television sets from the factory for $280 each. The store then sells the sets with a markup of 35%. How much does the store charge for a television set?

A $98 C $315

B $182 D $378

4 Sean drives 15 miles to work each way. How many miles does he drive to and from work in a week if he works Monday through Friday?

F 60 H 210

G 150 J 300

5 Keisha is buying a pair of shoes. The shoes are regularly $60, but are on sale for 20% off. How much was deducted from the original price?

A $1.20 C $12.00

B $6.00 D $20.00


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6 A construction manager estimates a project will require 42 workdays in order to be completed. How many workdays will it take to complete the project if the construction manager uses a crew of 6 workers?

F 7 H 48

G 36 J 256

7 Rebecca is buying a television that is

regularly $500 but is on sale for 1 _ 4 off.

Which expression can she use to find

the discount on the television?

A 0.0025 × $500

B 0.14 × $500

C 0.25 × $500

D 0.40 × $500

8 The following is a scale drawing of a plot of land. Each centimeter is equal to 1,000 meters. How many square meters is the plot of land?

F 1,000,000

G 7,000,000

H 7,500,000

J 12,000,000

9 In which of the following triangles does the line segment CD bisect ∠ACB?

A

B

C

D

10 Gabrielle’s car gets an average of 36 miles per gallon of gas. She plans to drive 198 miles today and 234 miles tomorrow. How many gallons of gas should she expect to use in all?

F 6 H 12

G 8 J 18



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621 43 5 7

(6, 6)(-2, 5)

(-2, -2) (6, -2)


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11 A 300-gallon tank is drained at a rate of 5 quarts per minute. How long will it take for the tank to drain?

A 4 seconds

B 4 minutes

C 4 hours

D 4 days

12 A garden measures 180 square feet. How many square inches does the garden measure?

F 1.25

G 15

H 2,160

J 25,920

13 Carmen borrowed $1200 at 8% simple interest for one year. She made no payments that year. How much interest did she owe at the end of the year?

A $96

B $120

C $192

D $960

14 Alex earns $56 for 4 hours of work. At that rate, how long would he have to work to earn $630?

F 11 hours

G 45 hours

H 90 hours

J 158 hours

15 Mark works as a sales representative, and he is paid 15% commission on his sales. In March, his sales total was $5525.00. To the nearest penny, how much of a commission did Mark earn in March?

A $15.00

B $82.88

C $552.50

D $828.75

16 What is the area of the rectangle shown on the graph below?

F 16 units2

G 32 units2

H 64 units2

J 128 units2

17 Amber planted a tree 9 years ago. It grew 24 inches per year for the first 5 years, and then it grew 18 inches per year for the next 4 years. How many inches has the tree grown in all?

A 192

B 210

C 264

D 288



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18 What is m∠C?

F 30˚

G 61˚

H 89˚

J 90˚

19 How many feet are in 3 miles?

A 3,000

B 9,000

C 15,840

D 21,120

20 Armando bought an MP3 player that was on sale for 25% off the original price. As a special promotion, the salesperson discounted the MP3 player an additional 20% off the sale price. If the MP3 player originally cost $200, what was the final sale price that Armando paid for it?

F $80

G $110

H $120

J $155

21 Ty’s TV Shop sells a particular television set for $349.00. The set is on sale this week for 30% off. The same television set is on sale at Elena’s Electronics for 20% off the regular price of $329.00.

a. Which store offers the better price on

the television set?

b. How much less does it cost at that

store?

c. There are coupons in the Sunday

newspaper offering an additional

$20.00 off at Ty’s or an additional

$30.00 off at Elena’s. If you were to

use the coupon, then which would

have the better price?



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100 20 30 40 50 60Minutes of Exercise

Exercise Heart Rate

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1 What is the slope of the line graphed below?

A -3 C 1 _

3

B - 1 _

3 D 3

2 The scatter plot below shows heart rates recorded after exercising for different amounts of time.

Which of the following statements best describes the relationship between minutes of exercise and heart rate as shown on the scatter plot?

F As exercise time increases, the heart

rate decreases.

G As exercise time increases, the heart

rate decreases at first, then increases.

H As exercise time increases, the heart

rate stays about the same.

J As exercise time increases, the heart

rate increases.

3 The table below shows prices for buying various amounts of grapes at a grocery store.

Pounds 1 5 12 14

Price(dollars) 1.50 7.50 18.00 21.00

Which of the following graphs best represents these prices?

A

B

C

D


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6 cm5 cm

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8 m


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F 258 cm2 H 540 cm2

G 360 cm2 J 648 cm2

5 Raya earns $52 for 4 hours of work. At that rate, how many hours would she have to work to earn $364?

A 7 C 28

B 14 D 52

6 The product of a number (x) squared and 2 is added to the product of a number (x) and 5. The total of this expression is 18. Which of the following equations shows this relationship?

F 2x + 5x = 18

G (x + 5) + (x + 2) = 18

H 5x2 + 2x = 18

J 2x2 + 5x = 18

7 Which of the following is a coefficient in the expression 7y2 + x + 30?

A y C 7

B x D 30

8 What is the area of parallelogram WXYZ?

F 21 m 2 H 104 m 2

G 64 m 2 J 169 m 2

9 The amount of dough that a bakery uses to make cookies is proportional to the number of cookies made. If 120 pounds of dough makes 2,880 cookies, how much dough is required to make 4,104 cookies?

A 24 pounds

B 34.2 pounds

C 171 pounds

D 195 pounds

10 Which of the following properties is used in the equation shown below?

3a × (2b × 5c) = (3a × 2b) × 5c


G Commutative Property of

Multiplication


J Reflexive Property



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11 Which of the possible values for x makes the equation below true?

x _ 8 + 3 = 11

A 0 C 32

B 8 D 64

12 Which of the following rectangles displays a diagonal?

F

G

H

J

13 Apples are on sale for 2 pounds for $3.00. Which of the following graphs shows the relationship between the number of pounds of apples bought and the total cost?

A

B

C

D



Pounds of Apples

14 in.

3 in.

4 in.

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14 Which of the following expressions is equivalent to 6x + 18y?

F 6(3x + y) H 18(x + y)

G 6(x + 3y) J 6(x + y)

15 Which of the following expressions shows 1,284,000 written in scientific notation?

A 1.284 × 106 C 1.284 × 108

B 1.284 × 107 D 1.284 × 109

16 Megan cuts a triangle off one corner of a rectangle to make a trapezoid, as shown below.

What is the area of the shaded trapezoid?

F 44 in2 H 56 in2

G 50 in2 J 70 in2

17 Which of the following is the solution set to the inequality 3x - 2 < 7?

A {x | x > 3} C {x | x < 3}

B {x | x > 9} D {x | x < 9}

18 Which of the following graphs best represents the graph of y = -2x + 3?

F

G

H

J



0 1 2 3 4 5 6 7 8 9 101112

654321Pr

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Number of Brownies

0 1 2 3 4 5 6 7 8 9 101112

654321Pr

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Number of Brownies

0 1 2 3 4 5 6 7 8 9 101112

654321Pr

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Number of Brownies

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19 Michelle baked brownies for a bake sale. She is selling 4 brownies for $1.00. Which of the following graphs shows the relationship between the number of brownies sold and the total cost?

A

B

C

D

20 How many vertices are there in the prism shown below?

F 5 H 15

G 10 J 25

21 Simplify the expression below and explain which property is used for each step in the process.

18x2 + 6xy + (3xy · 1)


Math Test Scores

Stem Leaves

89

10

0 3 5 8 93 50


Math Test Scores

Stem Leaves

789

10

7980 83 85 8893 9510


Math Test Scores

Stem Leaves

789

10

98 5 3 03 50


Math Test Scores

Stem Leaves

789

10

90 3 5 83 50



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1 Which of the following expressions is equivalent to 5x + 10x + 4y + 6y + 20?

A 3x + 2y + 4

B 5x + 10y + 4

C 15x + 2y + 20

D 5(3x + 2y + 4)

2 What is the lower quartile of the following set of numbers?

{56, 72, 65, 120, 58, 64, 85, 92}

F 56 H 64

G 61 J 68.5

3 What would be the mean of the following data set if the outlier were removed from the calculation?

{45, 56, 58, 65, 66, 75, 76, 78, 84, 88, 159}

A 58 C 75

B 69.1 D 77.3


equivalent to 18m4 _

12m-2 ?

F 3m-8

_ 2

G 3m-6

_ 2

H 3m6

_ 2

J 3m8

_ 2

5 Shawn recorded the following math test scores from his first semester of college.

85, 83, 95, 93, 100, 80, 79, 88

Which of the following stem-and-leaf plots correctly displays this data?

A

B

C

D


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Pounds of Carrots

1412108642

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Volu

me

0 1 2 3 4 5 6

Side Length

140

120

100

80

60

40

20


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6 Lita pays $3 for 4 pounds of carrots. Which of the following graphs best displays this relationship?

F

G

H

J

7 Which of the following expressions is equal to 11-8 × 1112?

A 11-20 C 114

B 11-4 D 1120

8 What is the upper quartile of the following set of numbers?

{45, 56, 58, 65, 66, 75, 76, 78}

F 57

G 75

H 75.5

J 78

9 The graph below shows the relationship between the side length of a cube and the volume of the cube.

If the side length of the cube is 4 centimeters, what is the volume of the cube?

A 34 cm3

B 46 cm3

C 64 cm3

D 84 cm3


Art Club Ages

Stem Leaves

012

6 6 7 8 82 2 3 4 4 4 40 1 2 2

Key: 1 2 represents 12 years

20 30 40 706050

Study Time y

xO

20406080

100120140160

1 2 3 4 5 6 7 8 9

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10 84 × 75 × 106 × 114 __

83 × 74 × 108 × 114 =

F 14

_ 25

H 28

_ 25

G 24

_ 25

J 56

_ 25

11 The stem-and-leaf plot below shows the ages of children in the art club.

What is the mode for this data?

A 2 C 13.5

B 4 D 14

12 The box-and-whisker plot below represents the amount of time a group of 7th graders spent studying.

What is the median of the data?

F 48.5 H 34.5

G 41 J 30

13 Which expression is equivalent to 6 8 × 6 9 ?

A 6 17

B 6 72

C 36 17

D 36 72

14 What is the range of the following data?

23.6, 45.5, 46.9, 65.3, 73.2, 75.8, 86.7, 134.8

F 23.6

G 65.3

H 73.2

J 111.2

15 Jeff wants to increase his savings account by depositing $10 each week from his lawn jobs. The graph below shows how much he money (y) he will have after x weeks.

How much did Jeff have in his account to start?

A $0 C $60

B $15 D $150




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16 Which is the graph for y = (- 1 _ 2 ) x2?

F

G

H

J

17 14z-6 _

4z-3 =

A 7z-18

_ 2 C

7z-3

_ 2

B 7z-9

_ 2 D

7z18

_ 2

18 Jerome spent the weekend fishing at a nearby lake. The table below shows the number of hours he spent fishing and the number of fish that he caught.

Time (hours) 0 2 6 10 18

Fish 0 1 3 5 9

Which of the following graphs best represents the data?

F

G

H

J




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19 Which of the following is the graph for y = 3x2?

A

B

C

D

20 Which expression below has the same value as n · n · n · n?

F 4n

G n 4

H n + n + n + n

J n _

4

21 The following data shows the points scored by a local high school basketball team in each of 8 games.

65, 70, 83, 62, 54, 70, 74, 88

a. What is the upper quartile of the data?

b. What is the median of the data?

c. Construct a box-and-whisker plot to represent the data.




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Periodic Assessment 1Student Answer Sheet


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19

20

Write your answer for Question 21 in the space below. Show all your work or reasoning.


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