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Holt Algebra 1

Texas End of Course Test PrepTeacher’s Edition

Copyright © by Holt, Rinehart and Winston.

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ISBN 0-03-093079-0

1 2 3 4 5 6 7 8 9 862 09 08 07 06

Answers to TEKS ..........................................................................................................................1

Correlation Chart ...........................................................................................................................8

Sample Test A—PreTest ..............................................................................................................11

Answers to Sample Test A ...........................................................................................................20

Sample Test B—PostTest ............................................................................................................21

Answers to Sample Test B ...........................................................................................................30

Student Answer Sheet .................................................................................................................31

Contents

Copyright © by Holt, Rinehart and Winston. iii Holt Algebra 1All rights reserved.

Copyright © by Holt, Rinehart and Winston. 1 Holt Algebra 1All rights reserved.

A.1.A

1. C

2. J

3. C

4. F

5. C

6. J

7. A

8. G

9. B

10. H

11. B

12. H

A.1.B

1. D

2. J

3. B

4. F

5. A

6. J

7. C

8. J

9. B

A.1.C

1. D

2. G

3. A

4. H

5. D

6. G

7. A

8. G

9. A

10. J

11. C

12. F

A.1.D

1. B

2. G

3. C

4. H

5. D

6. H

7. D

A.1.E

1. D

2. G

3. B

4. F

5. D

6. G

7. B

A.2.A

1. D

2. H

3. B

4. H

5. B

6. H

7. D

A.2.B

1. D

2. G

3. B

4. H

5. C

6. H

7. D

Test Preparation AnswersAlgebra 1

8. G

9. B

10. H

11. A

12. G

A.2.C

1. C

2. G

3. D

4. H

5. B

A.2.D

1. A

2. H

3. B

4. J

5. B

6. J

7. B

8. H

9. A

10. G

11. A

A.3.A

1. B

2. F

3. D

4. H

5. A

6. G

7. D

8. J

9. B

10. J

11. A

12. F

13. C

A.3.B

1. A

2. J

3. B

4. J

5. C

6. G

7. C

8. J

9. D

10. F

11. C

12. G

13. A

A.4.A

1. B

2. G

3. C

4. J

5. B

6. G

7. D

8. H

9. C

10. H

11. C

12. H

A.4.B

1. C

2. H


Test Preparation Answers continued

Algebra 1


3. D

4. G

5. A

6. H

7. B

8. J

9. C

10. F

11. B

12. G

13. D

14. G

15. B

A.4.C

1. D

2. G

3. C

4. F

5. C

6. H

7. C

8. H

9. D

10. J

11. B

12. H

A.5.A

1. A

2. F

3. B

4. G

5. D

6. G

7. C

8. J

9. B

A.5.B

1. D

2. H

3. C

4. G

5. D

6. J

7. A

8. F

A.5.C

1. D

2. J

3. B

4. J

5. C

6. H

7. B

8. F

9. C

10. F

A.6.A

1. C

2. F

3. A

4. J

5. D

6. F

7. B

8. C

9. G

10. D


Algebra 1

A.6.B

1. D

2. F

3. D

4. G

5. A

6. J

7. B

8. H

9. D

10. J

11. A

12. G

A.6.C

1. D

2. G

3. C

4. F

5. A

6. J

7. D

A.6.D

1. A

2. H

3. D

4. J

5. A

6. J

7. C

8. H

9. A

10. F

11. D

12. G

A.6.E

1. C

2. J

3. B

4. F

5. B

6. J

7. B

8. F

9. C

10. J

11. C

12. G

A.6.F

1. C

2. G

3. B

4. H

5. B

6. F

7. B

8. H

9. C

10. G

A.6.G

1. D

2. H

3. A

4. J

5. D

6. G

7. C

8. G

9. C



Algebra 1


10. J

11. C

A.7.A

1. D

2. J

3. C

4. H

5. D

6. G

7. C

8. F

9. C

10. J

11. B

12. J

13. B

14. H

A.7.B

1. D

2. F

3. C

4. H

5. C

6. G

7. C

8. H

9. D

10. F

11. B

12. J

13. D

A.7.C

1. C

2. G

3. C

4. H

5. C

6. H

7. B

8. J

9. D

10. J

A.8.A

1. D

2. J

3. B

4. G

5. A

6. J

7. B

8. J

9. D

10. F

11. C

12. F

A.8.B

1. C

2. J

3. B

4. G

5. A

6. J

7. A

8. G

A.8.C

1. D

2. G

3. A


Algebra 1

4. H

5. B

6. J

7. C

8. F

9. D

A.9.A

1. D

2. H

3. C

4. H

5. C

6. G

7. C

8. G

9. A

10. J

A.9.B

1. C

2. H

3. C

4. J

5. B

6. J

7. D

8. G

9. B

A.9.C

1. D

2. J

3. C

4. H

5. B

6. H

7. B

8. F

A.9.D

1. A

2. H

3. D

4. G

5. B

6. G

7. C

8. H

9. C

10. J

11. C

A.10.A

1. C

2. H

3. A

4. H

5. B

6. H

7. C

8. G

9. D

10. F

11. A

A.10.B

1. B

2. J

3. B

4. H

5. A



Algebra 1


6. J

7. C

8. G

9. C

10. H

A.11.A

1. A

2. G

3. A

4. J

5. C

6. J

7. C

8. G

9. C

10. H

11. D

12. J

13. B

14. H

15. B

16. F

A.11.B

1. A

2. H

3. B

4. G

5. D

6. J

7. C

8. H

9. D

A.11.C

1. B

2. F

3. D

4. F

5. B

6. H

7. B

8. H

9. C

10. H

11. D

12. F

13. C

14. J


Algebra 1


Algebra 1 TEKS

DESCRIPTION TEK

PreTest Question Number

PostTest Question Number

describe independent and dependent quantities in functional relationships;

A.1.A 1 1

gather and record data and use data sets to determine functional relationships between quantities;

A.1.B 2 2

describe functional relationships for given problem situations and write equations or inequalities to answer questions arising from the situations;

A.1.C 3 3

represent relationships among quantities using concrete models, tables, graphs, diagrams, verbal descriptions, equations, and inequalities; and

A.1.D 4, 49 4, 49

interpret and make decisions, predictions, and critical judgments from functional relationships.

A.1.E 5 5

identify and sketch the general forms of linear (y � x) and quadratic (y � x 2 ) parent functions;

A.2.A 6 6

identify the mathematical domains and ranges and determine reasonable domain and range values for given situations, both continuous and discrete;

A.2.B 7 7

interpret situations in terms of given graphs or creates situations that fit given graphs; and

A.2.C 8 8

collect and organize data, make and interpret scatter-plots (including recognizing positive, negative, and no correlation for data approximating linear situations), and model, predict, and make decisions and critical judgments in problem situations.

A.2.D 9 9

use symbols to represent unknowns and variables; and

A.3.A 10 10

look for patterns and represent generalizations algebraically.

A.3.B 11 11

find specific function values, simplify polynomial expressions, transform and solve equations, and factor as necessary in problem situations;

A.4.A 12, 46 12, 46

use the commutative, associative, and distributive properties to simplify algebraic expressions; and

A.4.B 13, 47 13, 47


connect equation notation with function notation, such as y � x � 1 and f (x) � x � 1.

A.4.C 14 14

determine whether or not given situations can be represented by linear functions;

A.5.A 15 15

determine the domain and range for linear functions in given situations; and

A.5.B 16 16

use, translate, and make connections among algebraic, tabular, graphical, or verbal descriptions of linear functions.

A.5.C 17 17

develop the concept of slope as rate of change and determine slopes from graphs, tables, and algebraic representations;

A.6.A 18, 48 18, 48

interpret the meaning of slope and intercepts in situations using data, symbolic representations, or graphs;

A.6.B 19, 20 19, 20

investigate, describe, and predict the effects of changes in m and b on the graph of y � mx � b;

A.6.C 21 21

graph and write equations of lines given characteristics such as two points, a point and a slope, or a slope and y-intercept;

A.6.D 22, 23 22, 23

determine the intercepts of the graphs of linear functions and zeros of linear functions from graphs, tables, and algebraic representations;

A.6.E 24 24

interpret and predict the effects of changing slope and y-intercept in applied situations; and

A.6.F 25 25

relate direct variation to linear functions and solve problems involving proportional change.

A.6.G 26, 50 26, 50

analyze situations involving linear functions and formulate linear equations or inequalities to solve problems;

A.7.A 27, 28 27, 28

investigate methods for solving linear equations and inequalities using concrete models, graphs, and the properties of equality, select a method, and solve the equations and inequalities; and

A.7.B 29, 30 29, 30

interpret and determine the reasonableness of solutions to linear equations and inequalities.

A.7.C 31 31

analyze situations and formulate systems of linear equations in two unknowns to solve problems;

A.8.A 32 32

solve systems of linear equations using concrete models, graphs, tables, and algebraic methods; and

A.8.B 33, 34 33, 34


interpret and determine the reasonableness of solutions to systems of linear equations.

A.8.C 35 35

determine the domain and range for quadratic functions in given situations;

A.9.A 36 36

investigate, describe, and predict the effects of changes in a on the graph of y � a x 2 � c ;

A.9.B 37 37

investigate, describe, and predict the effects of changes in c on the graph of y � a x 2 � c ; and

A.9.C 38, 45 38, 45

analyze graphs of quadratic functions and draw conclusions.

A.9.D 39 39

solve quadratic equations using concrete models, tables, graphs, and algebraic methods; and

A.10.A 40 40

make connections among the solutions (roots) of quadratic equations, the zeros of their related functions, and the horizontal intercepts (x-intercepts) of the graph of the function.

A.10.B 41 41

use patterns to generate the laws of exponents and apply them in problem-solving situations.

A.11.A 42 42

analyze data and represent situations involving inverse variation using concrete models, tables, graphs, or algebraic methods; and

A.11.B 43 43

analyze data and represent situations involving exponential growth and decay using concrete models, tables, graphs, or algebraic methods.

A.11.C 44 44


Name Date Class

Test Preparation PretestAlgebra 1

Solve each problem. Choose the best answer for each question and record your answer on the Student Answer Sheet. Figures are not drawn to scale

1. For a car traveling at a speed of 50 mph, the relationship between the distance traveled, d, and the time traveled, t, is described by the function d � 50t. Which statement is true?

A The speed of the car depends on the time traveled.

B The speed of the car depends on the distance traveled.

C The distance traveled depends on the time traveled.

D The time traveled depends on the distance traveled.

2. Which function matches the data in the table?

x y

�3 �13

0 �1

2 7

4 15

F y � x � 10

G y � 3x � 1

H y � x 2 � 2

J y � 4x � 1

3. To raise money, the school math team is selling cheese and sausage. The team makes $2 on each crock of cheese and $3 on each sausage roll that they sell. Which equation shows the total profit, p, the math team will make for selling, c, the number of crocks of cheese and s, the number of sausage rolls?

A p � 2c � 3s

B p � 2s � 3c

C p � 5c

D p � (2 � 3)cs

4. Which inequality best describes the graph shown?

x

y

2

4

–4

–4 –2

–2

2 4

F y � �3x

G y � �x � 3

H y � �3x � 3

J y � x � 3

5. Which is always a correct conclusion about the quantities in the function y � x � 8?

A The variable x is always 8 more than y.

B The variable y is always greater than x.

C As the value of x increases, the value of y decreases.

D When the value of x is negative, the value of y is also negative.

6. Which equation is the parent function of the graph represented below?

x

y

F y � � x �

G y � x

H y � x 2

J y � �� x

Name Date Class


7. What is the range of the function shown on the graph?

x

y

4

2

6

–1–4 –2 2 4

A �3 � y � 1

B �3 � x � 1

C 1 � y � 5

D 1 � y � 5

8. The graph shows the decrease in the value of a car over a period of time.

x

y

0

2000018000160001400012000100008000600040002000

Number of Years

Val

ue

of

Car

($)

1 2 3 4 5 6 7 8 9 10

Which is a reasonable conclusion about the value of this car during the time shown on the graph?

F The cars value at 2 years is twice its value at 6 years.

G The car depreciated $2500 every year.

H The car depreciated $4000 every 3 years.

J The car is worth $0 in 9 years.

9. The coaches of a group of recreational soccer teams answered a survey about the hours of team practice and the number of team wins. The graph shows the results of this survey.

x

y

0

2018161412108642

Hours per Week of Practice

So

ccer

Gam

es W

on

1 2 3 4 5 6

Based on these results, if a soccer team practices 1.5 hours per week, which is the best estimate of the number of wins the team can expect to win?

A 4

B 9

C 11

D 12

10. Richards Park charges an admission fee of $10 plus an hourly fee for each sport that you choose to participate in. Which equation represents the cost, C, in terms of the number of hours, h, you must pay to sled?

ADMISSION FEE $10

Sledding $5.00 per hour

Skiing $12.00 per hour

Ice skating $8.00 per hour

Snow boarding $6.00 per hour

F C � h($10 � $5)

G C � 5($10 � h)

H C � $10 � $5h

J C � $10h � $5h � h

Name Date Class


11. If x � y 4 , which expression is equal to y 16 ?

A x 3

B x 4

C x 5

D x 12

12. Simplify. 8 x 2 � 3x � 7 � (2 x 2 � 2x � 1)

F 6 x 2 � x � 6

G 10 x 2 � 5x � 8

H 6 x 2 � 5x � 6

J 10 x 2 � x � 8

13. When �4(2 x 2 � 3x � 12) is simplified, what is the value of the constant term?

A �8

B 12

C 48

D 52

14. Which is equivalent to f (t) � 3 t 2 � 5t ?

F y � 3 t 2

G y � �3t � 5 t 2

H y � �5t � 3 t 2

J y � 5t � 3 t 2

15. Which situation can most likely be represented by a linear function?

A The total price of n pounds of apples

B The height of a baseball in the air over time t

C The temperature of a sick child

D The size of files stored on a computer

16. The point (2, y) is a solution to the equation �2x � 3y � 4 � 0. What is the value of y ?

F �3

G 0

H 8 __ 3

J 4

17. What is the equation of the line shown?

x

y

2

4

–4

–4 –2

–2

2 4

A y � � 3 __ 2 x � 2

B y � � 1 __ 3 x � 2

C y � 2 __ 3 x � 1

D y � � 2 __ 3 x � 1

18. What is the slope of the line

y � � 1 __ 3 x � 4?

F �3

G � 1 __ 3

H 1 __ 3

J 4


Name Date Class

19. What is the y-intercept of the line represented by �5x � 3y � 12?

A 1 __ 4

B 3 __ 5

C 5 __ 3

D 4

20. Find the value of x so that the line passing through (6, �25) and (x, 20) has a slope of �3.

F �9

G 0

H 9

J 11

21. Which best describes the effect on the graph of f (x) � 3x � 7 if the y-intercept is changed to �2?

y

x

–8

–4

8

4

–8 –4 84

A The x-intercept increases.

B The y-intercept increases.

C The new line passes through the origin.

D The slope increases.

22. Which is the graph of the equation

y � 1 __ 4 x � 1?

F

x

y

2

4

–4

–4 –2

–2

2 4

G

x

y

2

4

–4

–4 –2

–2

2 4

H

x

y

2

4

–4

–4 –2

–2

2 4

J

x

y

2

4

–4

–4 –2

–2

2 4

Name Date Class


23. What is the equation of a line that has slope 4 and y-intercept �3?

A y � 4x

B y � 4x � 32

C y � 4x � 3

D y � 1 __ 4 x � 3

24. What is the y-intercept of the function graphed?

y

x

–8

–4

8

4

–8 –4 84

F (�5, 0)

G (0, �5)

H (0, 5)

J (5, 0)

25. A taxi company charges a $4.00 fee plus an additional $1.10 per mile traveled. If the taxi fee increases to $5.25 and the per mile rate stays the same, what characteristic of the graph of this relationship would change?

A Slope

B Axis of symmetry

C y-intercept

D There would be no change.

26. Newton’s recipe for 32 biscuits calls for

2 1 __ 4 cups of flour. How much flour will

Newton need to make 224 biscuits?

F 15 cups

G 15 1 __ 2 cups

H 15 3 __ 4 cups

J 18 1 __ 2 cups

27. Enrique earns $8.00 per hour working after school. He needs to earn at least $150 to go to summer camp. Which inequality describes how many hours, x, he must work to reach his goal?

A x � 8.00 � 150.00

B 8.00 � x � 150.00

C 8.00 � x � 150.00

D 150 x � 8.00

28. Nan is in charge of buying veggie pizzas for the gymnastic meet. She has collected $85 and the pizzas cost $7.50 each. Pizza Emporium also charges a delivery fee of $5. How many pizzas can she buy?

F 6 pizzas

G 8 pizzas

H 10 pizzas

J 11 pizzas

29. Use the graph of y � 3 __ 4 x � 1 to solve the equation for x when y � 4.

x

y

2

4

–4

–4 –2

–2

2 4

A x � �4

B x � �0.5

C x � 1

D x � 4

30. What is the value of y if (�5, y) is a solution to the equation 7x � 3y � �26?

F �5

G �3

H 0

J 3


Name Date Class

31. The value of a photo is given by the equation v � �0.85t � 4.2, where v is the value and t is the time in years from the date of purchase. In which year will the photo have no value?

A 3 years

B 4 years

C 5 years

D 6 years

32. Matilda invested $5000. She earned $308 in interest by putting part of it in her savings account that pays 4% interest and the remainder in stocks that yielded 7%. Which system of equations can be used to determine how much she invested at each rate?

F x � y � 50000.7x � 0.4y � 308

G x � y � 50004x � 7y � 308

H x � y � 50000.04x � 0.07y � 308

J x � y � 50000.04x � 0.07y � 308

33. To solve the following system of equations by elimination, which step would be best to perform first?

1 __ 4 a � 1 __ 2 b � 1

a � 1 __ 3 b � 3

A Add the two equations.

B Subtract the two equations.

C Multiply the first equation by 4.

D Divide the second equation by 3.

34. Which graph represents the solution to

the system: 2x � y � 5

y � x � �1

?

F

x

y

2

4

–4

–4 –2

–2

2 4

G y

x

–8

–4

8

4

–8 –4 84

H y

x

–8

–4

8

4

–8 –4 84

J

x

y

2

4

–4

–4 –2

–2

2 4

Name Date Class


35. Harvest grain bread costs $5.99 per loaf and corn muffins cost $7.50 per dozen. If Ignacio has at most $75 to spend, which combination of bread and muffins is not a reasonable purchase?

A 5 bread loaves and 3 dozen muffins

B 2 bread loaves and 8 dozen muffins

C 7 bread loaves and 5 dozen muffins

D 4 bread loaves and 4 dozen muffins

36. What is the domain of the function graphed below?

x

y

4

–12

–8 –4

–8

–4

4 8

F �7 � x � 7

G �7 � y � 7

H x � �12

J All real numbers

37. The following graph shows the function y � 0.4 x 2 � 3. What would happen to the graph if the function changed to y � 0.2 x 2 � 3?

x

y

2

–8 –4

4

6

8

4 8

A The parabola will shift up 2 units.

B The parabola will shift down 2 units.

C The parabola will seem narrower.

D The parabola will seem wider.

38. The graph of the function y � x 2 is given below.

x

y

4

2

6

–4 –2

–2

2 4

How will the graph be affected if the constant 4 is added to the function?

F The parabola will seem wider.

G The parabola will seem narrower.

H The parabola will be translated down.

J The parabola will be translated up.

39. The graph shows y, the height in meters of a model rocket, versus x, the time in seconds after the rocket is launched. From the graph, what conclusion can be made about the flight of the rocket?

x

y

10 12 186 842 14 160

800700600500400300200100

Hei

gh

t (i

nch

es)

Time (seconds)

A The rocket reached its maximum height between 6 and 7 seconds.

B At 0 seconds the rocket was 200 meters off the ground.

C The rocket was in flight for 16 seconds.

D The greatest height of the rocket was 700 meters.


Name Date Class

40. What are the solutions to the equation y � x 2 � 2x � 15?

F �3, and 5

G 3 and �5

H 3 and 5

J There is no solution

41. What are the roots of the function graphed below?

x

y6

2

–6

–10

–14

–4 –2 –2 2 4

A (�3, 0)

B (�3, 0) and (4, 0)

C (0, �12)

D (4, 0) and (0, �3)

42. Which expression describes the area, in square units, of a square that has side length 8 x 3 y 4 ?

F 64 x 6 y 8

G 1 6x 6 y 8

H 64 x 5 y 6

J 16 x 5 y 6

43. Which equation best represents the data in the table?

x y

4 20

8 10

16 5

A y � 80 ___ x

B y � x ___ 80

C y � 80x

D y � 80 x 2

44. The population of Texas was 20,851,820 in the 2000 United States Census. Which expression represents the population in x years after 2000, if the population growth is expected to be 1.98% per year?

F 20,851,820(1.0198 ) x

G 20,851(1.98 ) x

H 20,851,820(0.98 ) x

J (1.98 ) x � 20,851,820

45. In the graph of the function y � x 2 � 4, which describes the shift in the vertex of the parabola if, in the function, the 4 is changed to �4?

A 4 units up

B 4 units down

C 8 units up

D 8 units down

46. For the function f (x) � �15 x 4 � 12, what is the value of f (x) when x � �2?

F �228

G �108

H 132

J 252

Name Date Class


47. Which of the following is NOT true?

A 6 � 5 � �5 � 6

B 4(x � 6) � 4x � 24

C �11x � x(�11)

D 5(5 � 2t ) � �10t � 25

48. What is the slope of the line given the equation 2x � 7y � 14?

F �2

G � 7 __ 2

H � 2 __ 7

J 2

49. What is the relationship between x and y in the table?

x �2 2 6 8

y �3 5 13 17

A y � 2x � 1

B y � x � 3

C y � 2x � 1

D y � x – 7

50. What is the equation of direct variation, given that y varies directly as x and x is 20 when y is 30?

F y � 1 __ 2 x

G y � 2x

H y � 3 __ 2 x

J y � x � 5

Name Date Class


Name Date Class

Test Preparation Pretest AnswersAlgebra 1

1. C

2. J

3. A

4. J

5. B

6. H

7. D

8. F

9. B

10. H

11. B

12. F

13. C

14. H

15. A

16. H

17. D

18. G

19. D

20. F

21. A

22. G

23. C

24. G

25. C

26. H

27. C

28. H

29. D

30. G

31. C

32. J

33. C

34. F

35. C

36. J

37. D

38. J

39. A

40. G

41. B

42. F

43. A

44. F

45. D

46. F

47. B

48. H

49. C

50. H

Name Date ClassName Date Class


Test Preparation PosttestAlgebra 1

Solve each problem. Choose the best answer for each question and record your answer on the Student Answer Sheet. Figures are not drawn to scale

1. For a car traveling at a speed of 55 mph, the relationship between the distance traveled, d, and the time traveled, t, is described by the function d � 55t. Which statement is NOT true?

A The speed of the car depends on the time traveled.

B The speed of the car is constant.

C The distance traveled depends on the time traveled.

D The time traveled is the independent variable.

2. Which function matches the data in the table?

x y

�3 �7

0 �4

2 �2

4 0

F y � x � 4

G y � 3x � 1

H y � x 2 � 4

J y � 4x � 5

3. To raise money, the school fencing team is selling popcorn cards and sub sandwich cards. The team makes $4 on each popcorn card and $1 on each sub sandwich card. Which equation shows the total profit, p, the fencing team will make for selling, c, popcorn cards and sub sandwich cards, s?

A p � 4c � s

B p � s � 4c

C p � 5c

D p � (4 � 1)cs

4. Which inequality best describes the graph shown below?

x

y

2

4

–4

–4 –2

–2

2 4

F y � �4x

G y � �x � 4

H y � �4x� 4

J y � x � 4

5. Which is always a correct conclusion about the quantities in the function y � 5x � 6?

A The variable x is always 6 more than y.

B The variable y is always greater than x.

C As the value of x increases, the value of y increases.

D When the value of x is negative, the value of y is also negative.

6. Which equation is the parent function of the graph represented below?

x

y

F y � � x �

G y � x

H y � �� x

J y � x 2


Name Date Class

7. What is the range of the function shown on the graph?

x

y

4

2

6

8

–1–4 –2 2 4

A �3 � y � 3

B �3 � x � 3

C �1 � y � 6

D 1 � x � 6

8. The graph shows the decrease in value of a car over a period of time.

x

y

0

2000018000160001400012000100008000600040002000

Number of Years

Val

ue

of

Car

($)

1 2 3 4 5 6 7 8 9 10

Which is a reasonable conclusion about the value of this car during the time shown on the graph?

F The cars value at 3 years is twice its value at 6 years.

G The car depreciated less than $1000 every year.

H The car depreciated $6000 every 3 years.

J The car is worth $6000 in 7 years.

9. The coaches of a group of recreational softball teams answered a survey about the hours of team practice and the number of team wins. The graph shows the results of this survey.

x

y

0

2018161412108642

Hours per Week of Practice

So

ftb

all G

ames

Wo

n

1 2 3 4 5 6

Based on these results, if a softball team won 10 games, about how many hours per week did they practice?

A 0.5 h

B 1 h

C 2 h

D 4 h

10. Ottawa Park charges an admission fee of $3 plus an hourly fee for each sport that you choose to participate in. Which equation represents the cost, C, in terms of the number of hours, h, you must pay to snow board?

ADMISSION FEE $10

Sledding $5.00 per hour

Skiing $12.00 per hour

Ice skating $8.00 per hour

Snow boarding $6.00 per hour

F C � h($3 � $6)

G C � 3($6 � h)

H C � $3 � $6h

J C � $3h � $6h � h

Name Date Class


11. If x � y 5 , which expression is equal to y 25 ?

A x 3

B x 4

C x 5

D x 12

12. Simplify. 5 x 2 � 4x � 8 � (3 x 2 � 4x � 2)

F 2 x 2 � 6

G 2 x 2 � 8x � 6

H 8 x 2 � 8x � 10

J 2 x 2 � 10

13. When �7( x 2 � 2x � 10) is simplified, what is the value of the constant term?

A �70

B �28

C 8

D 70

14. Which is equivalent to f (t ) � 4 a 2 � 3a?

F y � 4 a 2

G y � 3a � 4 a 2

H y � �3a � 4 a 2

J y � 3a � 4 a 2

15. Which situation can best be represented by a linear function?

A The price per pound of cheese for k pounds

B The height of a rocket in the air over time t

C The amount of compound interest earned over time t

D The size s of a bacteria colony over time

16. If (6, y) is a solution to the equation �3x � 4y � 6 � 0, what is the value of y ?

F � 1 __ 6

G 0

H 15 ___ 4

J 6

17. What is the equation of the line shown?

x

y

2

4

–4

–4 –2

–2

2 4

A y � 1 __ 4 x � 1

B y � � 1 __ 4 x � 1

C y � � 3 __ 4 x � 1

D y � 3 __ 4 x � 1

18. What is the slope of the line 2y � 6x � 3?

F �3

G 1 __ 3

H 3 __ 2

J 3


Name Date Class

19. What is the y-intercept of the line represented by �6x � 5y � 12?

A 5 ___ 12

B 5 __ 6

C 6 __ 5

D 12 ___ 5

20. Find the value of x so that the line passing through (x, 15) and (2, �6) has a slope of 3.

F �9

G 0

H 9

J 11

21. Which best describes the effect on the graph of f (x) � 3x � 7 if the y-intercept is changed to 2?

y

x

–8

–4

8

4

–8 –4 84

A The x-intercept increases.

B The y-intercept increases.

C The new line passes through the origin.

D The slope increases.

22. Which graph below matches the equation y � �4x � 1?

F

x

y

2

4

–4

–4 –2

–2

2 4

G

x

y

2

4

–4

–4 –2

–2

2 4

H

x

y

2

4

–4

–4 –2

–2

2 4

J

x

y

2

4

–4

–4 –2

–2

2 4

Name Date Class


23. What is the equation of a line that has slope 7 and y-intercept �4?

A y � 7x � 4

B y � 7x � 28

C y � 7x � 4

D y � 1 __ 7 x � 4

24. What is the y-intercept of the function graphed below?

y

x

–8

–4

8

4

–8 –4 84

F (�5, 0)

G (0, �5)

H (0, 5)

J (5, 0)

25. A health club charges an annual fee of $49 and an additional $29 per month. If the annual fee increases to $60, what characteristic of the graph of this relationship would change?

A The slope

B The constant

C The y-intercept

D There would be no change.

26. Ryan’s recipe for 60 breads calls for 6 1 __ 4

cups of flour. How much flour will Ryan need to make 96 breads?

F 8 1 __ 2 cups

G 10 cups

H 12 1 __ 4 cups

J 13 3 __ 4 cups

27. Xavier earns $7 per hour working after school. He needs to earn at least $175 for a new bicycle. Which inequality describes how many hours, x, he must work to reach his goal?

A x � 7 � 175

B 7 � x � 175

C 7 � x � 175

D 175 x � 7

28. Priscilla is in charge of buying bagels for a breakfast meeting. She has been given $82 to buy the bagels. The Bagel Factory charges $7.99 per dozen bagels and $6 for delivery. How many dozen bagels can she buy?

F 7 dozen

G 9 dozen

H 10 dozen

J 12 dozen

29. Use the graph of y � 4 __ 3 x � 1 to solve the equation for x when y � �3.

y

x

–8

–4

8

4

–8 –4 84

A x � �3

B x � �1

C x � 1

D x � 4

30. What is the value of y if (�5, y) is a solution to the equation 8x � 5y � �25?

F �5

G �3

H 0

J 3


Name Date Class

31. The value of a stereo is given by the equation v � �0.85t � 4.5, where v is the value and t is the time in years from the date of purchase. In which year will the stereo have no value?

A 2 years

B 3 years

C 4 years

D 6 years

32. Miriam invests $7000. She earned $390 in interest by putting part of it in her savings account that pays 3% interest and the remainder in stocks that yielded 8%. Which system of equations can be used to determine how much she invested at each rate?

F x � y � 70000.8x � 0.3y � 390

G x � y � 70003x � 8y � 390

H x � y � 70000.03x � 0.08y � 390

J x � y � 70000.03x � 0.08y � 390

33. To solve the following system of equations by elimination, which step would be best to perform first?

1 __ 8 a � 3 __ 4 b � 1

a � 1 __ 5 b � 5

A Add the two equations.

B Subtract the two equations.

C Multiply the first equation by 8.

D Divide the first equation by 4.

34. Which graph represents the solution to

the system: 2x � y � �5

y � 1 � x

?

F

x

y

2

4

–4

–4 –2

–2

2 4

G y

x

–8

–4

8

4

–8 –4 84

H y

x

–8

–4

8

4

–8 –4 84

J

x

y

2

4

–4

–4 –2

–2

2 4

Name Date Class


35. Keystone Bakery charges $9.00 per pie and $15.99 for each half-sheet cake. If Aletta has at most $129 to spend, which combination of pies and cakes is not a reasonable purchase?

A 5 pies and 3 cakes

B 3 pies and 6 cakes

C 7 pies and 3 cakes

D 4 pies and 6 cakes

36. What is the domain of the function graphed below?

y

x

–4

8

12

4

–8 –4 84

F �4 � x � 4

G �4 � y � 4

H x � �12

J All real numbers

37. The following graph shows the function y � 0.25 x 2 � 1. What would happen to the graph if the function changed to y � 0.25 x 2 � 3?

x

y

2

4

–4

–4 –2

–2

2 4

A The parabola will shift up 2 units.

B The parabola will shift down 2 units.

C The parabola seems narrower.

D The parabola seems wider.

38. The graph of the function y � x 2 is given below.

x

y

4

2

6

–4 –2

–2

2 4

How will the graph be affected if the constant �2 is added to the graph?

F The parabola seems wider.

G The parabola seems narrower.

H The parabola will be translated down.

J The parabola will be translated up.

39. The graph below shows y, the height in meters of a model rocket, versus x, the time in seconds after the rocket is launched. From the graph, what conclusion can be made about the flight of the rocket?

x

y

1284 160

800

600

400

200

Time (seconds)

Hei

gh

t (m

eter

s)

A The rocket reached its maximum height at 8 seconds.

B At 2 seconds the rocket was less than 200 meters off the ground.

C The rocket was in flight for less than 12 seconds.

D The height of the rocket was about 675 meters.


Name Date Class

40. What are the zeros to the equation y � x 2 � 4x � 32?

F �4, and 8

G 4 and �8

H 4 and 8

J There are no zeros.

41. What are the roots of the function graphed below?

x

y

–1

–4 2

2

4

6

8

A (�8, 0)

B (�2, 0) and (4, 0)

C (0, �9)

D (4, 0)

42. Which expression describes the area, in square units, of a square that has side length 9 x 3 y 4 ?

F 81 x 6 y 8

G 18 x 6 y 8

H 81 x 5 y 6

J 18 x 5 y 6

43. Which equation best represents the data in the table?

x y

2 15

5 6

10 3

A y � 30 ___ x

B y � x ___ 30

C y � 30x

D y � 30 x 2

44. The population of Florida was 15,982,378 in the 2000 United States Census. Which expression represents the population in x years after 2000, if the population growth is expected to be 2.2% per year?

F 15,982,378(1.022 ) x

G 15,982(1.22 ) x

H 15,982,378(0.22 ) x

J (1.22 ) x � 15,982,378

45. In the graph of the function y � x 2 � 6, which describes the shift in the vertex of the parabola if the constant is changed to �4?

A 2 units up

B 3 units down

C 10 units up

D 10 units down

46. For the function f (x) � �4 x 3 � 15, what is the value of f (x) when x � �3?

F �309

G �93

H 51

J 123

Name Date Class


47. Which of the following is NOT true?

A 5(x � 2) � 5x � 10

B �14x � x(�14)

C 9 � 7 � �7 � 9

D 7(5 � 2t ) � �14t � 35

48. What is the slope of the line given the equation 7x � 2y � 14?

F � 7 __ 2

G � 2 __ 7

H �2

J 2

49. What is the relationship between x and y in the table?

x �2 2 6 8

y �5 3 11 15

A y � 2x � 1

B y � x � 3

C y � �2x � 1

D y � x � 7

50. What is the equation of direct variation, given that y varies directly as x and x is 12 when y is 15?

F y � 1 __ 4 x

G y � 4x

H y � 5 __ 4 x

J y � x � 4

Name Date Class


Name Date Class

Test Preparation Posttest AnswersAlgebra 1

1. A

2. F

3. A

4. H

5. C

6. J

7. C

8. J

9. C

10. H

11. C

12. F

13. D

14. H

15. A

16. J

17. D

18. J

19. D

20. H

21. B

22. H

23. C

24. H

25. C

26. G

27. C

28. G

29. A

30. G

31. D

32. H

33. C

34. J

35. D

36. J

37. A

38. H

39. D

40. F

41. B

42. F

43. A

44. F

45. D

46. J

47. A

48. F

49. A

50. H

Name Date ClassName Date Class


1 A B C D

2 F G H J

3 A B C D

4 F G H J

5 A B C D

6 F G H J

7 A B C D

8 F G H J

9 A B C D

10 F G H J

11 A B C D

12 F G H J

13 A B C D

14 F G H J

15 A B C D

16 F G H J

17 A B C D

18 F G H J

19 A B C D

20 F G H J

21 A B C D

22 F G H J

23 A B C D

24 F G H J

25 A B C D

26 F G H J

27 A B C D

28 F G H J

29 A B C D

30 F G H J

31 A B C D

32 F G H J

33 A B C D

34 F G H J

35 A B C D

36 F G H J

37 A B C D

38 F G H J

39 A B C D

40 F G H J

41 A B C D

42 F G H J

43 A B C D

44 F G H J

45 A B C D

46 F G H J

47 A B C D

48 F G H J

49 A B C D

50 F G H J

Test Preparation Pretest

1 A B C D

2 F G H J

3 A B C D

4 F G H J

5 A B C D

6 F G H J

7 A B C D

8 F G H J

9 A B C D

10 F G H J

11 A B C D

12 F G H J

13 A B C D

14 F G H J

15 A B C D

16 F G H J

17 A B C D

18 F G H J

19 A B C D

20 F G H J

21 A B C D

22 F G H J

23 A B C D

24 F G H J

25 A B C D

26 F G H J

27 A B C D

28 F G H J

29 A B C D

30 F G H J

31 A B C D

32 F G H J

33 A B C D

34 F G H J

35 A B C D

36 F G H J

37 A B C D

38 F G H J

39 A B C D

40 F G H J

41 A B C D

42 F G H J

43 A B C D

44 F G H J

45 A B C D

46 F G H J

47 A B C D

48 F G H J

49 A B C D

50 F G H J

Test Preparation Posttest

holt algebra 1 - · pdf filej 13. b 14. h a.7.b 1. d 2. f 3. c 4. h 5. c ... 14. j test...

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