0001 hsm11a1 te 01tr - north hunterdon-voorhees regional · pdf file ·...

Name Class Date

Prentice Hall Gold Algebra 1 • Teaching ResourcesCopyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.

101

Multiple Choice

For Exercises 1–10, choose the correct letter.

1. Which property is illustrated by (3 1 5) 1 7 5 3 1 (5 1 7)? A. Additive Identity C. Commutative Property of Addition B. Associative Property of Addition D. Distributive Property

2. Which algebraic expression represents the statement “4 more than the product of 6 and a number”?

F. 4n 1 6 H. 4 2 6n G. 6 2 4n I. 6n 1 4

3. What is the value of 29 1 (23 2 32)? A. 226 B. 210 C. 28 D. 24

4. What is the value of !49? F. !7 G. 7 H. 14 I. 49

5. What is the order of the numbers !12, 23.5, 53, 2 23 from least to greatest?

A. !12, 23.5, 53, 223 C. 23.5, 2

23, !12, 53

B. !12, 53, 2 23, 23.5 D. 23.5, 2

23, 53, !12

6. Which ordered pair is not a solution of y 5 2x 1 1? F. (3, 7) G. (0, 1) H. (21, 1) I. (23, 25)

7. Which expression is equivalent to 23.2(2x 2 2.1)? A. 26.4x 1 6.72 C. 6.4x 1 6.72 B. 26.4x 2 6.72 D. 26.4x 1 2.1

8. Toby purchased 5 tickets online for a show. Th e tickets cost $12 each plus there was a $3.50 service fee for the order. How much money did Toby spend for the tickets?

F. $15.50 G. $51.50 H. $60 I. $63.50


10. Which expression is equivalent to 4(2x 1 1) 2 (26x)? F. 14x 1 4 G. 8x 2 2 H. 2x 1 4 I. 214x 2 4

Cumulative ReviewChapter 1

B

I

B

D

H

A

I

C

F

G

Name Class Date


102

11. In the absence of predators, the rabbit population in a forest has grown to 56 over the past 5 years. What is the rabbit population in the forest?

12. Cherie is laying square tiles on her square kitchen fl oor. She buys the tiles for $2 per square foot tile. If her total estimated cost for the tiles is $288, what is the length of her fl oor in feet?

13. Simplify 82 4 4 1 3(6 2 3) 1 23.

14. What is the value of 3 1 |x 2 2| for x 5 23?

15. Evaluate x(y 2 z)2 for x 5 21, y 5 5, and z 5 23.

16. Write an equation for the sentence: the diff erence of 6n and 25 is 213.

17. Vocabulary What type of number can be written in the form ab, where a and b are integers, and b 2 0?

18. Simplify (x2 1 6) 2 (3x2 2 2x 2 5).

19. What is the solution of the equation 9x 1 12 5 39?

20. Jack is taking his family to the fair. He plans to take $5 for each admission ticket plus $35 for food. Write an equation that models the amount of money Jack takes to the fair.

21. What is the value of the expression (27)(3) 2 (5)(23)?

Cumulative Review (continued)

Chapter 1

15,625

12 ft

33

8

264

rational number

6n 1 5 5 213

22x2 1 2x 1 11

3

d 5 5t 1 35

26

Name Class Date

Prentice Hall Algebra 1 • Teaching ResourcesCopyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.

111

Cumulative ReviewChapters 1-2

Multiple Choice


1. Which algebraic expression represents 15 less than the product of 7 and a number?

A. 15 2 7n C. 15(7n)

B. 7n 2 15 D. 7(n 2 15)

2. Which of the following is the correct simplifi cation of 7 ? 42 4 8 2 12?

F. 228 G. 2 172 H. 25 I. 2

3. What is the value of 3m2 2 mn2mn2 when m 5 21 and n 5 2?

A. 2 58 B. 2

18 C. 1

8 D. 58

4. What is the solution of 26x 1 15 5 23? F. 23 G. 22 H. 3 I. 6

5. What is the solution of 4x 2 6 5 26x 2 4?

A. 2 32 B. 21 C. 1

5 D. 1

6. What is the solution of 35 5x

15?

F. 1 G. 6 H. 9 I. 25

7. A scale drawing of a building has the scale 0.5 in. : 6 ft. A wall is 30 ft long. How long will the wall be on the drawing?

A. 1.5 in. B. 2.5 in. C. 6 in. D. 360 in.

8. What is the simplifi ed form of the expression "225? F. 225 G. 15 H. 20 I. does not simplify

9. Which property is illustrated by 45 1 19 5 19 1 45? A. Commutative Property of Addition C. Associative Property of Addition

B. Identity Property of Addition D. Zero Property of Addition

10. What percent of 86 is 50 to the nearest whole percent? F. 43% G. 58% H. 59% I. 172%

B

I

A

H

C

H

B

G

A

G

Name Class Date


112


Chapters 1-2

11. A store’s cost for a stereo was $27. Th e markup was 75%. A customer purchased it on sale at 40% off the marked up price. What was the purchase price of the stereo?

12. Evaluate each expression for x 5 3 and y 5 2.

a. 24x 1 3y b. x2 2 y

4x

13. Find the percent of decrease for each situation. a. $250 is discounted to $212.50 b. $40 is discounted to $32

14. Th e school choir has 84 members. Th e ratio of girls to boys in the choir is 3 : 4. How many members are girls?

Find each answer.

15. Solve: 22(3x 1 2) 5 2x 1 6 16. Simplify: 2"169

17. Solve: 34 58

x 2 1 18. Simplify: 14 1 2 3 8 2 52 1 32

19. Solve: 6n 2 7 5 35 20. Solve: x 2 12 5

x 1 321

21. Th e scale of a map is 0.25 cm : 15 mi. Determine the distance between two cities that are 6.8 cm apart on the map.

22. Th e price of the car was marked as $14,000. Th e end of the month sale has lowered the price to $12,500. What is the percent decrease to the nearest percent?

23. Four times the sum of a number and 23 is 4 more than twice the number. Write and solve an equation to fi nd the number.

24. Jeremy is putting together a model rocket. Th e scale is 1 cm : 50 ft. If the height of the actual rocket is 210 feet, how tall is the model?

25. Writing Describe four diff erent subsets of real numbers. Explain the diff erences between the various subsets. Give several examples of each subset.

$28.35

26

15% 20%

712

36 girls

254

7 253

353

213

14

408 mi

about 11%

4.2 cm

The counting numbers are 1, 2, 3, 4, etc. The whole numbers are the counting

numbers plus zero. Integers are the whole numbers and their opposites.

Fractions are numbers used to express parts of the integers.

4(n 1 (23)) 5 2n 1 4; 8


91

Name Class Date

Cumulative ReviewChapters 1–3

Multiple Choice


1. Which of the following can be represented by this graph?

A. 5 , b , 11 B. 11 $ b $ 5 C. Z 8 2 b Z 5 8 D. Z b 2 8 Z 5 3

2. Which inequality can be represented by this graph?

F. 9 # b # 4 G. b $ 9 or b . 4 H. b # 4 or b . 9 I. b , 4 or b . 9

3. If 7x 1 3 5 24, what is the value of 5 2 4x? A. 223 B. 27 C. 1 D. 17

4. Which of the following sentences is represented by this graph?

F. Th e value of t is greater than 25 or less than 1. G. Th e value of t is between 25 and 1. H. Th e value of t is greater than 25 and less than 1. I. Th e value of t is less than or equal to 1 and greater than 25.

5. In which quadrant would the point (22, 4) be located? A. I B. II C. III D. IV

6. Which is not a subset of the set 51, 2, 3, 56? F. 516 G. 51, 3, 56 H. ; I. 506

7. What is the solution of 32.5 5

d75 ?

A. 90 B. 62.5 C. 74.5 D. 225

8. What is the simplifi ed form of 23(x 1 4)? F. 23x 1 12 G. 23x 2 12 H. 23x 1 4 I. 23x 1 1

9. What is the simplifi ed form of 5 2 4y 1 2x 2 3y 2 2 1 5x? A. 3 2 7y 1 7x B. 3 1 7y 1 7x C. 7 1 7y 1 7x D. 3 2 y 1 7x

8642 1210

22242628 20

8642 1210

D

H

B

B

I

I

A

A

G


92

Name Class Date


Chapters 1–3

10. Evaluate each expression for x 5 27. a. Z x 2 3 Z b. Z x 1 3 Z

11. Complete the table.

12. Evaluate b2 2 4ac for a 5 21, b 5 25, and c 5 2.

13. Simplify 4 2 3(22 2 5).

14. Javier is on a diet. He is supposed to eat at least 1500 but not more than 1800 calories per day. Before his last meal of the day, he had consumed 1150 calories. According to Javier’s diet plan, what number of calories may he consume at his last meal of the day?

15. Find three consecutive even integers whose sum is 66.

16. Translate the following sentence into an equation and then solve. Four less than fi ve times a number is 21.

17. What is the intersection of the sets A 5 52, 4, 6, 8, 106 and B 5 51, 2, 3, 4, 56?

Solve each equation.

18. n 1 4 5 6 19. 3t 1 3 5 212 20. 2(3d 1 1) 5 20

21. 2p 5 28 22. Z 4a 2 2 Z 5 10 23. 5k 1 6 5 5(k 1 1)

24. Solve the inequality Z 9 2 3g Z # 12.

25. Solve and graph 15c 2 4 # 12c 1 5 on the number line.

26. Solve the equation 3a 1 4b 5 1 2 2cd for c.

10

33

7

5x 2 4 5 21; n 5 5

2 25

24 3 or 22no solution

3

52, 46

20, 22, 24

350 K x K 650

21 K g K 7

c K 3

c 5 23ad 2 4bd 1 12

4

n 5 4n 5 2 n 5 3

2621165n 6

2321192n 15

0 1 2 3 4


81

Name Class Date


Multiple Choice


1. Which statement is equivalent to 4x 2 6y 1 8y 2 6x 2 12y? A. 10x 2 26y C. 22x 2 10y B. 12x 2 18y D. 212y

2. Jacob scored 5 points more than 45 of Sarai’s test score. Which equation represents the relationship between Jacob’s test score, J, and Sarai’s test score, S?

F. 45 J 1 5 5 S H. 4

5 J 2 5 5 S

G. 45 S 1 5 5 J I. 4

5 S 2 5 5 J

3. Th e height of the fl agpole, F, and the length of its shadow, S, are proportional to Harry’s height, h, and the length of his shadow, l. Which proportion represents the relationship?

A. lh 5

SF C. F

l 5Sh

B. Sh 5

lF D. S

F 5hl

4. Which ordered pair is a solution of y 5 26x 2 7? F. (0.5,24) G. (2,219) H. (22, 25) I. (3, 11)


6. Which values of x and y will make the expression 3(22x 2 y)2 equal to 3? F. x 5 22 and y 5 1 H. x 5 21 and y 5 3 G. x 5 22 and y 5 23 I. x 5 21 and y 5 23

7. Th e sum of two consecutive integers is 153. Which equation can be used to fi nd the fi rst integer n?

A. 2n 1 1 5 153 C. n 1 1 5 153 B. 2n 5 153 D. 2n 1 2 5 153

8. Which property is illustrated by a(b 1 c) 5 ab 1 ac? F. Associative Property of Addition H. Commutative Property of Addition G. Associative Property of Multiplication I. Distributive Property

C

G

A

G

D

H

A

I


82

Name Class Date


Chapters 1–4

9. Simplify 3(25x 2 7) 2 (6x).

10. Admission to the movie is $7.50 for adults and $3.50 for students. Th e theater’s goal is to receive $1500 in revenue for the evening. Write an equation that models this relationship.

11. Evaluate 23a(2b 2 4c) for a 5 23, b 5 2, and c 5 27.

12. Th e profi t of a company is modeled by P 5 4t 1 15,500, where P is the profi t and t is the time in months. What is the dependent variable?

13. Use words to describe the relationship modeled by the equation y 5 28x 1 17.

14. Simplify 93 4 33 2 5(8 2 4) 1 92.

15. Vocabulary What is the term for a relation in which each input value corresponds to exactly one output value?

16. Simplify (ab2 1 10 1 a) 2 (6ab2 2 2ab 1 8).

17. What is the function rule that represents the relationship found in the following ordered pairs? (25, 22), (10, 223), (4, 25), (27, 28), (6, 211)

18. What is the value of the expression (28)(6) 2 (24)(25) 1 (23)(26)?

19. A student wrote a number pattern such that each number is 3 more than 4 times the previous number. What is the sixth term in the pattern if the fi rst term is 6?

20. One lap around a track measures 400 meters. Kelvin runs 8 laps around the track for a race. How many kilometers did he run?

221x 2 21

7.5a 1 3.5s 5 1500

288

88

function

25ab2 1 2ab 1 a 1 2

A(n) 5 23n 1 7

250

7167

3.2 km

P

y is equal to 17 more than 28 times x.


91

Name Class Date

Cumulative ReviewChapters 1-5

Multiple Choice


1. What is true about the graphs of y 5 24x 1 6 and y 5 14x 1 6?

A. Th ey are parallel. C. Th ey are perpendicular. B. Th ey have the same slope. D. Th ey do not intersect.

2. A mail order company sells boxes of fi shing lures for $26.95 per box. A charge of $8.95 is added to orders, regardless of the order size. Which of the following equations models the relationship between the number of boxes ordered and the total cost of the order?

F. c 5 26.95w; w $ 1 H. c 5 (26.95 1 8.95)w; w $ 1 G. 8.95c 5 26.95w; w $ 1 I. c 5 26.95w 1 8.95; w $ 1

3. Which of the following is the correct simplication of the expression

62 1 15 4 3 1 4 3 3? A. 63 B. 53 C. 29 D. 21

4. Which is not a solution of 3x 2 5 , 17? F. 24 G. 5 H. 7 I. 12

5. Which of the following statements is not true for the graph of the equation 5x 1 3y 5 12?

A. Th e y-intercept is 4. C. Th e x-intercept is 2.4

B. Th e line has a positive slope. D. Th e line contains the point Q2, 23R.

6. What is the constant of variation for 3y 5 6x?

F. 12 G. 2 H. 3 I. 6

7. What is f (24) when f (x) 5 2x2 2 2x? A. 24 B. 8 C. 28 D. 224

8. Th e Girl Scouts hoped to raise $1000 selling cookies. Instead, they raised $1050. What percent of their goal did they achieve?

F. 115% G. 105% H. 100% I. 95%

9. Which of the following is the solution of 3(5x 2 6) 5 263? A. 23 B. 5 C. 3 D. 15

10. What is 8x 1 3y2

4y 2 3x when x 5 2 and y 5 3?

F. 222 G. 28 H. 7.5 I. 436

C

I

B

I

B

G

C

G

A

I

0081_hsm11a1_te_05tr.indd 910081_hsm11a1_te_05tr.indd 91 1/19/11 12:26:48 AM1/19/11 12:26:48 AM


92

Name Class Date


Chapters 1-5

11. What is an equation of the graph at the right? A. y 5 25x 1 4 C y 5 22x 1 8 B. y 5 27x 1 1 D. y 5 x 1 4

12. Evaluate each expression.

a. x2 for x 5 25 b. 2x2 for x 5 25

13. Find x. a. 20% of 150 is x. b. 50% of x is 150.

14. What are the coordinates of the vertex of the graph of y 5 u x 1 2 u 2 4?

15. Find the y-intercept of the graph of each equation. a. 7y 2 3x 5 4 b. 2x 1 4y 5 3

16. Find the slope of each line. a. Th e line containing points (3, 26) and (4, 25) b. Th e line described by the equation 12x 1 5y 5 9

17. Find the slope of each line. a. Th e line that is perpendicular to the graph 2x 1 3y 5 6 b. Th e line that is parallel to the graph 22x 2 6y 5 8

Find each answer.

18. A long-distance company charges $26.95 per month plus $.14 per minute for all in-state long distance calls. Calculate the cost in dollars to make 225 minutes of in-state long distance calls over one month.

19. Th e ratio of black walnut to red oak trees at a tree farm is 4 : 5. Th e tree farm has 1200 black walnut trees. How many black walnut and red oak trees does the tree farm have altogether?

20. A train moving at a constant speed travels 325 mi in 8 hr. At this rate, how many miles does the train travel in 12 hr?

21. You invest $175.00 in advertising yourself as a math tutor. You charge $25/hr. How many hours do you have to tutor before you break even?

22. Line A passes through points (6, 8) and (1, 27). Line B is perpendicular to Line A. Line C is perpendicular to Line B. What is the slope of Line C?

23. Open-Ended Make up a problem that could be solved using a rate of change.

24. What is the y-intercept of the graph of the equation 17x 1 2y 5 42?

xO

y4

2

2

4

2

4 42

A

25

1

$58.45

2700 trees

487.5 mi

7 h

3

21

Answers may vary. Sample: A water tank contains 60 gallons of water. You use 8 gallons per week to water the garden during a dry spell. How much water remains in the water tank after 4 weeks?

2 125

30

(22, 24)

47

34

32

2 13

300

225


71

Name Class Date


Multiple Choice

For Exercises 1–10 choose the correct letter.

1. A train moving at a constant speed travels 180 mi in 4 h. How far does the train travel in 7 h?

A. 360 mi B. 315 mi C. 280 mi D. 420 mi

2. Which is a solution of 28x 1 5 $ 11?

F. 2 12 G. 3 H. 0.25 I. 21

3. Which two quadrants contain all of the solutions to the following system?

y . 4x 2 2

y . 23x 1 5

A. I and II B. II and III C. III and IV D. I and IV

4. Which of the following equations represents a horizontal line through (5, 23)?

F. x 5 23 G. y 5 5 H. y 5 23 I. x 5 5

5. Th e graphs of the two lines 4x 5 3y 1 23 and 4y 1 3x 5 219

A. do not intersect. C. intersect at (22, 5).

B. are identical. D. are perpendicular.

6. What is the slope of the line with equation 4x 1 2y 5 8?

F. 22 G. 20.5 H. 0.5 I. 2

7. Which of the following is the solution of 24(5 2 2x) 5 8?

A. 3.5 B. 2.5 C. 24 D. 1.5

8. To solve the following system of equations by elimination, which operation would you perform fi rst?

234x 1 65y 5 219

1225x 1 65y 5 2427

F. addition G. subtraction H. multiplication I. division

B

I

A

H

D

F

A

H



72

Name Class Date


Chapters 1–6

9. Which of the following points are not solutions of 2y 2 5x . 6?

I. (23, 4) II. (5, 2 53) III. (3

4 , 5) IV. (2.6, 5)

A. I and II B. III only C. II and IV D. III and IV

10. Find the slope of each line.

a. A line that is parallel to the graph of y 5 12 x 1 7.

b. A line that is perpendicular to the graph of y 5 22x 2 3.

11. Find the x-intercept of the graph of each equation. a. 3x 1 2y 5 7

b. 2x 1 3y 5 7

12. Find the number of solutions to each system.

a. 4x 2 y 1 1 5 0

4x 2 y 1 3 5 0

b. 2x 2 y 1 4 5 0

4x 2 2y 1 8 5 0

13. Open-Ended Write a question that can be solved using a system of linear equations.

14. Solve the following system of equations by graphing.

y 5 x 1 3

y 5 22x 2 3

15. Suppose your offi ce gives you $200 to buy binders. Small binders cost $7 each. Large binders cost $8 each. Write the inequality that describes how many of each kind of binder you can buy.

16. Write the set of inequalities that defi nes the trapezoid shown at the right.

17. Write an equation of the line with a y-intercept of 24 that is parallel to 6x 2 2y 5 13.

18. A company’s sales of garden tractors increased about 106% from 2007 to 2008. Th e number of tractors sold in 2007 was 347. How many tractors were sold in 2008?

19. Southside Bowling Alley charges $3 for the fi rst game and $.50 for each additional game. Eastside Bowling Alley charges $1 per game. How many games would you have to bowl to make Southside the less expensive choice?

x

y

O 66 71 2 3 44 5

123456

C

12

12

7372

no solution

y 5 3x 2 4

about 715

6 games

y K 7, x L 0, y L 3, y L x

7s 1 8l K 200

infi nitely many solutions

(22, 1)

Answers may vary. Sample: Six daffodil bulbs and 4 iris bulbs cost $24. Five daffodil bulbs and 6 iris bulbs cost $28. How much does each bulb cost?

0069_hsm11a1_te_06tr.indd 720069_hsm11a1_te_06tr.indd 72 1/21/11 5:21:13 PM1/21/11 5:21:13 PM


81

Name Class Date


Multiple Choice


1. Which values of a and b are a solution to the inequality u 5 2 2a u 2 b # 4?

A. a 5 6, b 5 22 B. a 5 24, b 5 3 C. a 5 3, b 5 21 D. a 5 23, b 5 5

2. What is the value of the function y 5 2x2 1 6x 2 5 when x 5 4?

F. 3 G. 35 H. 5 I. 23

3. Which equation represents a line with slope 2

1

2 that passes through (23, 4)?

A. y 5 21

2x 1 4 B. 4y 1 3x 5 22 C. 2y 5 x 1 8 D. 2y 1 x 5 5

4. Which value of x is a solution of both 2(x 2 8) , 5 and 24(2 2 x) $ 1?

F. 3 G. 24 H. 0 I. 2

5. What is the y-intercept of the line with equation 2x 1 4y 5 6?

A. 20.5 B. 1.5 C. 4 D. 6

6. Which product is greatest?

F. (4.2 3 1023)(6.9 3 109) H. (3.7 3 105)(4.8 3 1022)

G. (5.1 3 103)(5.1 3 103) I. (7.3 3 1010)(2.5 3 1025)

7. Which expression has the greatest value? A. |1.5 23| B. |21 12| C. 2|28| D. |21 22|

8. To which subset of the real numbers does Å1

16 belong?

F. rational numbers H. natural numbers

G. integers I. irrational numbers

9. What is the simplifi ed form of x2y23z3

x4y2z4 ?

A. x2yz B. 1

x2y5z C.

x2y5

z7 D. x8y6z12

10. A triangle with base 6 cm and height 8 cm is similar to a triangle with base 21 cm. What is the height of the second triangle?

F. 23 cm G. 25 cm H. 28 cm I. 30 cm

B

D

F

H

C

F

D

F

F

B


82

Name Class Date


Chapters 1–7

11. Simplify each expression. a. 2.020

b. 2.021

12. Write each number in standard form. a. 42 million b. 4.2 3 106

13. Order the expressions from smallest to largest.

a18b22

, 721, 72, 80, 921, 91, 92

Find each answer.

14. Simplify (0.25 3 103)(20 3 102).

15. Suppose y varies directly with x, and y 5 10 when x 5 2.5. What direct

variation equation relates x and y? What is the value of y when x 5 10?

16. An entry level position pays $8 per hour. A 4% raise is given at the end of each year of employment. What would the pay be after 3 years?

17. Which is greater, the amount in a $1000 account that pays 6% interest compounded semiannually for 4 years or the amount in a $1000 account that pays 6.25% annually for 4 years?

18. Open-Ended Write and solve a problem involving compound interest.

19. Solve the following system by elimination.

3y 2 1.6x 5 215.4

8y 2 2x 5 232

20. Th e fi rst equation in a system of two equations is 2x 2 3y 5 9. Th e graph of the second equation does not intersect the fi rst. Write a possible second equation for the system. Justify your response.

21. Write a function rule to describe the amount of money you have left from a weekly paycheck if you earn $12 per hour, you have $15.50 deducted per week for medical insurance, and you make a weekly car loan payment of $50.

y 5 4x ; 40

1

2.02

42,000,000

5 3 105

4,200,000

921, 721, 80, 91, 72, Q18R22

, 92

9 $/h

$1000 at 6.25% annually

Check students’ work.

x 5 4, y 5 23

Answers may vary. Sample: y 5 23x 1 3; both equations have x and y as

variables; the line for the second equation must be parallel to the fi rst, so the slopes must be the same; the y-intercepts are different.

f (x) 5 12x 2 65.5 where x is hours worked


Name Class Date


91

Cumulative Review Chapters 1–8

Multiple Choice

For Exercises 1–11 choose the correct letter.

1. What are the next three terms in the sequence 6, 12, 24, 48, c? A. 72, 96, 120 B. 86, 162, 240 C. 96, 192, 384 D. 50, 52, 54

2. Solve 8y 5 2100.

F. 2800 G. 212.5 H. 800 I. 12.5

3. Find the equation of the line passing through (2, 21) and parallel to

y 5 23x 2 1.

A. y 5 23x 1 5 B. y 5 2

3x

22 1 C. y 5

x

31 5 D. y 5 3x 1 1

4. Solve 3x 1 7y 5 224x 2 3y 5 22

.

F. (24, 22) G. (24, 2) H. (4, 2) I. (4, 22)

5. Simplify 10x5y3

2x6y.

A. 5xy2 B. 5y2

x C.

5x

y2 D. x

5y2

6. Simplify (3x 2 1)(x 1 4).

F. 3x2 2 4 G. 3x2 2 11x 2 4 H. 3x2 1 11x 2 4 I. 3x2 1 13x 2 4

7. A scuba diver at a depth of 80 ft begins her ascent to the ocean surface. Her rate of change in depth is 2ft/s. Which expression represents her depth in feet t seconds after she begins her ascent?

A. 2t 2 80 B. 80 2 2t C. 280 2 2t D. 80 1 2t

8. Factor 4x2 2 x 2 14. F. (4x 1 7)(x 2 2) G. (2x 2 7)(2x 1 2) H. (4x 2 7)(x 1 2) I. (2x 1 7)(2x 2 2)

9. What is the GCF of the terms of 3x3 1 6x2 2 9x?

A. x B. 3 C. 3x D. 3x2

10. Which number is not a solution of the compound inequality 7 2 4x # 3 and 2x 2 5 . 210?

F. 5 G. 4 H. 2 I. 1

11. Which of the following is a cubic binomial?

A. w3 2 6w2 1 9 B. 7a3 1 4a22 C. 2y3 1 3y5 D. x2 2 2x3

C

G

A

I

B

H

B

F

C

F

D

Name Class Date


92

12. A city is growing at a rate of 8 percent per year. What multiplier is used to fi nd the new population each year?

13. Simplify 62 4 4 1 2(7 2 3) ? 4.

14. What is the slope of a line that passes through the origin and the point (6, 3)?

15. Evaluate x2 1 3y for x 5 4 and y 5 0.5.

16. A weight of 6 lb stretches a spring a distance of 12 in. Find the constant k for the spring.

17. Solve 18x5

2114

.

18. What is the x-intercept of the line with equation 5x 1 4y 5 30?

19. How many positive solutions are there to the equation Z 2x 2 5 Z 5 4?

20. Write an equation in standard form passing through the points (22, 0) and (23, 21).

21. Th e product of two negative integers is 36. Th e second integer is 5 more than the fi rst. Find the integers.

22. Th e length of a rectangular pizza is 4 in. less than twice its width. Th e area of

the pizza is 160 in.2. Find the dimensions of the pizza.

23. Write a polynomial that is a diff erence of two squares using the variable m. Write the polynomial in factored and standard forms.

24. Solve the following system of inequalities by graphing:

2x 2 4y # 4

23x 2 6y . 6

Cumulative Review (continued) Chapters 1–8

6

2

1.08

41

17.5

12

y 2 x 5 2

29, 24

10 in. by 16 in.

Sample :4m2 2 9; (2m 1 3)(2m 2 3)

graph of y L 12x 2 1 and y R 2

12x 2 1

12

12

xO

y4

2

2

4

2

4 42

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