CHAPTER Chapter Test Form A - aianjackC g x is translated 6 units down. ... 12, 18 D { 0, 10 , 1, 7...

Copyright © by Holt, Rinehart and Winston. 167 Holt Algebra 1All rights reserved.

Name Date Class

9CHAPTER

Select the best answer.

1. Which function is quadratic?

A 3x � 2y � 5

B 5 x 2 � x � y � 4

2. The vertex of this parabola shows that the ____ value of the function is ____.

A maximum, 2 C minimum, 2

B maximum, 4 D minimum, 4

3. Which table of values would you use to graph y � 3 x 2?

A x �2 �1 0 1 2

y 12 3 0 3 12

B x �2 �1 0 1 2

y 36 9 0 9 36

4. Find the zeros of y � x 2 � 8x � 12 from its graph below.

A �2 and �6 C 2 and 6

B 0 and 4 D 4 and �4

5. Find the axis of symmetry of this parabola.

A x � �2 C x � 1

B x � �1 D x � 3

6. If you graph y � x 2 � 6x � 9, the y-intercept would be .

A �3 B 9

7. The height of a ball in feet is modeled by f � x � � �16 x 2 � 96x, where x is the time in seconds after it is hit. How long is the ball in the air?

A 3 s C 12 s

B 6 s D 24 s

Chapter Test Form A

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3 R D P R I N T


Name Date Class

9CHAPTER

8. Compare the graph of g � x � � x 2 � 6 with the graph of f � x � � x 2 .A g � x � is wider.

B g � x � is narrower.

C g � x � is translated 6 units down.

D g � x � is translated 6 units up.

9. Use this graph of the quadratic function y � x 2 � 4x � 4 to solve the equation x 2 � 4x � 4 � 0.

A x � �2

B x � �3 or x � �1

C x � �4 or x � 0

D x � �5 or x � 1

10. Solve x 2 � 7x � 8 � 0 by factoring.

A x � �1 or x � 8

B x � 1 or x � �8

11. A toy rocket is launched from a platform that is 10 meters high. The rocket’s height above the ground is modeled by h � �5 t 2 � 5t � 10, where h is height in meters and t is time in seconds. Find the time it takes the rocket to reach the ground.

A 1 s B 2 s

12. Solve x 2 � 9 using square roots.

A x � �3 B x � �81

13. Which number completes the square to form a perfect square trinomial?

x 2 � 12x �

A 6 C 36

B 24 D 144

14. Solve x 2 � 10x � 39 by completing the square.

A x � �13 or x � 3

B x � �10 � ��

164 or x � �10 � �� 164

C x � �5 � �� 39 or x � �5 � ��

39 D x � 5 � ��

14 or x � 5 � �� 14

15. Solve 2 x 2 � 9x � 4 � 0 using the Quadratic Formula.

A x � �4 or x � � 1 __ 2

B x � �9 � �� 113 ___________ 4

16. Find the number of real solutions of the equation x 2 � 11x � 10 � 0 using the discriminant.

A 0 C 2

B 1 D 3

Chapter Test Form A continued

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Name Date Class

9CHAPTER Chapter Test

Form BSelect the best answer.


A x �4 �1 2 5

y 18 3 6 27

B x �3 �2 �1 0

y �1 1 3 5

C x �2 0 2 4

y �13 �5 3 59

D x 1 5 9 13

y 2 �2 0 4

2. The vertex of this parabola shows that the value of the function is .

F maximum, �1 H minimum, �1

G maximum, 4 J minimum, 4

3. Which table of values would you use to graph y � x 2 � 3?

A x �2 �1 0 1 2

y �32 �1 0 1 32

B x �2 �1 0 1 2

y 1 4 9 16 25

C x �2 �1 0 1 2

y 7 4 3 4 7

D x �2 �1 0 1 2

y 12 3 0 3 12

4. Find the zero(s) of y � x 2 � 4x � 4 from its graph below.

F 2 H 2 and 4

G 4 J no zeros

5. Find the axis of symmetry of the graph of y � x 2 � 10x � 16.

A x � �10 C x � �5

B x � �8 D x � 13

6. If you graph y � 2 x 2 � 8x � 10, the y-intercept would be .

F �18 H 2

G �10 J 5


A 4 s C 128 s

B 8 s D 256 s



Name Date Class

9CHAPTER

8. Compare the graph of g � x � � 6 x 2 with the graph of f � x � � x 2.

F g � x � is narrower.

G g � x � is translated up.

H g � x � is translated down.

J g � x � is wider.

9. Use this graph of the quadratic function y � 2 x 2 � 4x � 6 to solve the equation 2 x 2 � 4x � 6 � 0.

A x � �2 or x � 4 C x � 0 or x � 2

B x � �1 or x � 3 D x � 1

10. Solve x 2 � 12 � �4x by factoring.

F x � �2 or x � 6 H x � 2 or x � �6

G x � �3 or x � 4 J x � 3 or x � �4

11. A stunt diver jumps from the top of a40-meter platform. The diver’s height above the water is modeled by h � �5 t 2 � 10t � 40, where h is height in meters and t is time in seconds. Find the time it takes the diver to reach the water.

A 2 s C 8 s

B 4 s D 10 s

12. Solve 9 x 2 � 4 � 0 using square roots.

F x � � 9 __ 4 H x � � 4 __

9

G x � � 2 __ 3 J x � � 3 __

2


x 2 � 7x �

A 7 __ 2 C 49 ___

2

B 49 ___ 4 D 49

14. Solve x 2 � 8x � 18 � 0 by completing the square.

F x � �2 or x � �6

G x � �4 � �� 2 or x � �4 � ��

2 H x � 4 � ��

34 or x � 4 � �� 34

J no real solutions

15. Solve 3 x 2 � 5x � 8 using the Quadratic Formula.

A x � �3 or x � 8

B x � �1 or x � 8 __ 3

C x � 5 � �� 71 ________

6

D no real solutions


F 0 H 2

G 1 J 3

Chapter Test Form B continued



Name Date Class


Form CSelect the best answer.


A { � �5, 3 � , � �2, 0 � , � 1, 3 � , � 4, 6 � } B { � �2, 12 � , � 0, 2 � , � 2, �8 � , � 4, �18 � } C { � 0, �126 � , � 4, �14 � , � 8, 2 � ,

� 12, 18 � } D { � 0, �10 � , � 1, �7 � , � 2, 2 � , � 3, 17 � }

2. The vertex of this parabola shows that the value of the function is .

F maximum, �3 H minimum, �3

G maximum, 0 J minimum, 0

3. Which table of values would you use to graph y � �2 x 2 � 4?

A

x �2 �1 0 1 2

y �72 �50 �32 �18 �8

B

x �2 �1 0 1 2

y �12 �6 �4 �6 �12

C

x �2 �1 0 1 2

y 0 6 8 6 0

D

x �2 �1 0 1 2

y 12 0 �4 0 12

4. Find the zero(s) of y � x 2 � 5 from its graph below.

F 0 H 0 and 5

G 5 J no zeros

5. Find the axis of symmetry and vertex of the graph of y � 2 x 2 � 12x � 5.

A x � �3, � �3, 59 � C x � 3, � 3, �13 � B x � �3, � �3, 23 � D x � 3, � 3, 47 �

6. If you graph 3 x 2 � 18x � 6 � 3y, the y-intercept would be .

F �6 H 2

G �3 J 3


A 2.25 s C 9 s

B 4.5 s D 81 s



Name Date Class


Form C continued

8. Compared to the graph of f � x � � x 2 , the graph of g � x � � 2 x 2 � 5 is _____.

F narrower and translated down

G narrower and translated up

H wider and translated down

J wider and translated up

9. Use this graph of the quadratic function y � � x 2 � 6x to solve the equation � x 2 � 6x � 0.

A x � �6 or x � 0 C x � �4 or x � �2

B x � �5 or x � �1 D x � �1

10. Solve 4 x 2 � 14x � 8 by factoring.

F x � �2 or x � 1

G x � � 1 __ 2 or x � 4

H x � � 1 __ 4 or x � 8

J x � 0 or x � � 7 __ 4

11. A 2-meter tall soccer player bunts the ball with his head. The ball’s height above the ground is modeled by h � �5 t 2 � 3t � 2, where h is height in meters and t is time in seconds. Find the time it takes the ball to reach the ground.

A 1 __ 5 s C 1 s

B 2 __ 5 s D 2 s


F x � � 1 __ 2 H x � � 25 ___

36

G x � � 2 __ 3 J x � � 5 __

6


�9x � x 2 �

A � 9 __ 2 C 3

B 1 __ 4 D 81 ___

4

14. Solve 3 x 2 � x � 2 � 0.

F x � 1 or x � � 2 __ 3

G x � 1 � ��

73 ________ 6

H x � 1 � �� 7 _______

3

J no real solutions

15. Solve �4 x 2 � 5x � 9 using the Quadratic Formula.

A x � �1 or x � � 1 __ 4

B x � �1 or x � 9 __ 4

C x � �5 � �� 119 __________

8

D no real solutions

16. Find the number of real solutions of the equation 64 x 2 � 9 � �48x using the discriminant.

F 0 H 2

G 1 J 3



Name Date Class

9CHAPTER

1. Tell whether this function is quadratic. Explain.

2x � y � 3x � 9

2. Identify the vertex of this parabola. Then give the minimum or maximum value of the function.

vertex:

3. Use a table of values to graphy � �2 x 2 .

x �2 �1 0 1 2

y

x

y

0�6 �4 �2 2 4

4

2

�2

�4

�6

�8

�10

6

4. Find the zeros of y � x 2 � x � 6 from its graph below.

5. The zeros of the graph of a quadratic function are 2 and 6. What is its axis of symmetry?

6. If you graph y � � x 2 � 8x � 10, what would be the y-intercept?

7. The height of a ball in meters is modeled by f � x � � �5 x 2 � 40x, where x is the time in seconds after it is hit. How long is the ball in the air?

Chapter Test Form A



Name Date Class


Form A continued

8. Compare the graph of g � x � � x 2 � 5 with the graph of f � x � � x 2 .

9. Use this graph of the quadratic function y � � x 2 � 4 to solve the equation� x 2 � 4 � 0.

10. Solve x 2 � 2x � 24 � 0 by factoring.

11. A stunt diver jumps from the top of a96-foot platform. The diver’s height above the water is modeled by h � �16 t 2 � 16t � 96, where h is height in feet and t is time in seconds. Find the time it takes the diver to reach the water.

12. Solve x 2 � 121 using square roots.

13. Complete the square to form a perfect square trinomial.

x 2 � 2x �

14. Solve x 2 � 4x � 32 by completing the square.

15. Solve 3 x 2 � 5x � 1 � 0 using the Quadratic Formula.




Name Date Class

9CHAPTER

1. Tell whether this function is quadratic. Explain.

x �2 0 2 4

y 5 �1 �3 �1

Yes

the second differences are constant.


vertex: � 3, �5 �

Minimum is �5.

3. Use a table of values to graphy � x 2 � 4.

x �2 �1 0 1 2

y 0 �3 �4 �3 0

4. Find the zeros of y � x 2 � x � 6 from its graph below.

�2; 3

5. Find the axis of symmetry of the graph of y � x 2 � 12x � 8.

x � 6

6. If you graph y � 5 x 2 � 7x � 15, what would be the y-intercept?

�15


10 seconds

Chapter Test Form B



Name Date Class


Form B continued

8. Compare the graph of g � x � � 1 __ 3 x 2 with

the graph of f � x � � x 2 .

g � x � has the same axis of symmetry,

has the same vertex, and also

opens upward, but it is wider.

9. Use this graph of the quadratic function y � x 2 � 4x � 5 to solve the equation x 2 � 4x � 5 � 0.

x � �5 or x � 1

10. Solve x 2 � 18 � 11x by factoring.

x � 2 or x � 9

11. A toy rocket is launched from a platform that is 48 feet high. The rocket’s height above the ground is modeled by h � �16 t 2 � 32t � 48, where h is height in feet and t is time in seconds. Find the time it takes the rocket to reach the ground.

3 seconds


x � � 1 __

4


x 2 � 5x � 25 ___ 4

14. Solve x 2 � 6x � 13 � 0 by completing the square.

x � 3 � ��

22 or x � 3 � ��

22

15. Solve 2 x 2 � 7x � �8 using the Quadratic Formula.

no real solutions


1 � one real solutions �



Name Date Class


Form C 1. Tell whether this function is quadratic.

Explain.

{ � �7, 256 � , � �5, 16 � , � �3, 0 � , � �1, 16 � }


vertex:

3. Use a table of values to graph y � 3 x 2 � 8.

x �2 �1 0 1 2

y

4. Find the zeros of y � x 2 � 4x � 5 from its graph below.

5. Find the axis of symmetry and vertex of the graph of y � �2 x 2 � 20x � 40.

axis of symmetry:

vertex:

6. If you graph 2y � 8 � 6 x 2 � 10x, what will be the y-intercept?




Name Date Class


Form C continued

8. Compare the graph of g � x � � � x 2 � 3 with the graph of f � x � � x 2.

9. Use this graph of the quadratic function y � � x 2 � 2x to solve the equation� x 2 � 2x � 0.

10. Solve 26x � 15 � �8 x 2 by factoring.

11. A 6-foot tall soccer player bunts the ball with his head. The ball’s height above the ground is modeled by h � �16 t 2 � 10t � 6, where h is height in feet and t is time in seconds. Find the time it takes the ball to reach the ground.



x 2 � 3 __ 5 x �

14. Solve 2 x 2 � x � 8 � 0 by completing the square.

15. Solve 3x � 1 � 5 x 2 using the Quadratic Formula.

16. Find the number of real solutions of the equation �4 x 2 � 6 � �7x using the discriminant.



Answer Key continued

Chapter Test Form A

1. B

2. C

3. A

4. C

5. B

6. B

7. B

8. D

9. A

10. A

11. B

12. A

13. C

14. A

15. A

16. C

Chapter Test Form B

1. A

2. G

3. C

4. F

5. C

6. G

7. B

8. F

9. B

10. H

11. B

12. G

13. B

14. J

15. B

16. F

Chapter Test Form C

1. D

2. J

3. B

4. J

5. C

6. H

7. B

8. F

9. A

10. G

11. B

12. J

13. D

14. F

15. D

16. G

Chapter Test Form A

1. No the the function cannot be written in the form y � a x 2 � bx � c.

2. � 1, 3 � maximum is 3.

3. x �2 �1 0 1 2

y �8 �2 0 �2 �8

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4. �2 and 3

5. x � 4

6. 10

7. 8 seconds

8. g � x � has the same width, same axis of symmetry, and also opens upward, but its vertex is translated 5 units down to � 0, �5 � .

9. x � �2 or x � 2

10. x � �4 or x � 6

11. 3 seconds

12. x � �11

13. 1

14. x � �4 or x � 8

15. x � �5 � ��

13 _________ 6

16. 0 (no real solutions)

Chapter Test Form B

1. Yes, the second differences are constant.

2. � 3, �5 � Minimum is �5.

3. x �2 �1 0 1 2

y 0 �3 �4 �3 0

4. �2; 3

5. x � 6

6. �15

7. 10 seconds

8. g � x � has the same axis of symmetry, has the same vertex, and also opens upward, but it is wider.

9. x � �5 or x � 1

10. x � 2 or x � 9

11. 3 seconds

12. x � � 1 __ 4

13. 25 ___ 4

14. x � 3 � ��

22 or x � 3 � ��

22




15. no real solutions

16. 1 � one real solutions �

Chapter Test Form C

1. No the second differences arenot constant.

2. � 0, 4 � maximum is 4.

3. x �2 �1 0 1 2

y 4 �5 �8 �5 4

4. no zeros

5. x � �5 � �5, 10 �

6. �4

7. 7.2 seconds

8. g � x � has the same width and same axis of symmetry, but it opens downward and its vertex is translated 3 units up to (0, 3).

9. x � 0 or x � 2

10. x � � 3 __ 4 or x � � 5 __

2

11. 3 __ 8 second

12. x � � 5 __ 2

13. 9 ____ 100

14. no real solutions

15. x � 3 � ��

29 ________ 10

16. 2 � two real solutions �

Performance Assessment

1. 20, 24, 40, or 50 ft

2. 10 � w, 12 � w, 20 � w, or 25 � w

3. A � � w 2 � 10w, A � � w 2 � 12w, A � � w 2 � 20w, or A � � w 2 � 25w

5. 0 and 10, 0 and 12, 0 and 20, or 0 and 25; the widths that create an area of 0 ft 2 .

6. x � 5, x � 6, x � 10, or x � 12.5; thex-value is one-fourth the amount of chain link.

7. (5, 25), (6, 36), (10, 100), or (12.5, 156.25); the width that creates the maximum area.

8. 5 ft by 5 ft, 6 ft by 6 ft, 10 ft by 10 ft, or 12.5 ft by 12.5 ft

9. a square

10. a. No dimensions work; b. 36 � � w 2 � 10w has no real solutions.; 6 ft by 6 ft; 36 � � w 2 � 12w has only one solution, w � 6 � and l � 6 � .; c. 2 ft by 18 ft; 36 � � w 2 � 20w has two solutions, w � 2 � and l � 18 � or w � 18 � and l � 2 � .;

d. 25 � ��

481 ___________ 2 ft by 25 � �

� 481 ___________

2 ft;

36 � � w 2 � 25w has two solutions,

w � 25 � ��

481 ___________ 2 .

Cumulative Test

1. B

2. J

3. C


3 R D P R I N T

CHAPTER Chapter Test Form A - aianjackC g x is translated 6 units down. ... 12, 18 D { 0, 10 , 1, 7...

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Transcript of CHAPTER Chapter Test Form A - aianjackC g x is translated 6 units down. ... 12, 18 D { 0, 10 , 1, 7...