Name
Date
Class
Chapter Test
CHAPTER
9
Form A
Select the best answer.
1. Which function is quadratic?
A 3x ⫺ 2y ⫽ 5
B 5x 2 ⫹ x ⫽ y ⫺ 4
5. Find the axis of symmetry of this
parabola.
Y
2. The vertex of this parabola shows that
the ____ value of the function is ____.
Y
X
X
A maximum, 2
B maximum, 4
A x ⫽ ⫺2
B x ⫽ ⫺1
C minimum, 2
D minimum, 4
6. If you graph y ⫽ x 2 ⫺ 6x ⫹ 9, the
.
y-intercept would be
A ⫺3
B 9
3. Which table of values would you use to
2
graph y ⫽ 3x ?
A x
⫺2
⫺1
0
1
2
B
y
12
3
0
3
12
x
⫺2
⫺1
0
1
2
y
36
9
0
9
36
C x⫽1
D x⫽3
7. The height of a ball in feet is modeled by
2
f x ⫽ ⫺16x ⫹ 96x, where x is the time
in seconds after it is hit. How long is the
ball in the air?
Y
4. Find the zeros of y ⫽ x 2 ⫺ 8x ⫹ 12 from
its graph below.
Y
X
A ⫺2 and ⫺6
B 0 and 4
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
A 3s
B 6s
C 2 and 6
D 4 and ⫺4
167
X
C 12 s
D 24 s
Holt Algebra 1
Name
Date
CHAPTER
Chapter Test
9
Form A continued
8. Compare the graph of g x x 2 6
2
with the graph of f x x .
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.
11. A toy rocket is launched from a platform
that is 10 meters high. The rocket’s
height above the ground is modeled by
2
h 5t 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 1s
B 2s
9. Use this graph of the quadratic function
2
y x 4x 4 to solve the equation
2
x 4x 4 0.
2
12. Solve x 9 using square roots.
A x 3
B x 81
Y
13. Which number completes the square to
form a perfect square trinomial?
x 2 12x A 6
B 24
X
A
B
C
D
x
x
x
x
2
3 or x 1
4 or x 0
5 or x 1
15. Solve 2x 2 9x 4 0 using the
Quadratic Formula.
A x 4 or x 2
10. Solve x 7x 8 0 by factoring.
A x 1 or x 8
B x 1 or x 8
Copyright © by Holt, Rinehart and Winston.
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a107c09_Assess.indd 168
C 36
D 144
2
14. Solve x 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
Class
1
__
2
9 113
B x ___________
4
16. Find the number of real solutions of the
2
equation x 11x 10 0 using the
discriminant.
A 0
C 2
B 1
D 3
168
Holt Algebra 1
12/28/05 3:20:45 PM
Process Black
Name
CHAPTER
9
Date
Class
Chapter Test
Form B
Select the best answer.
1. Which function is quadratic?
A
x
2
4
1
B
4. Find the zero(s) of y x 2 4x 4
from its graph below.
5
Y
y
18
3
6
27
x
3
2
1
0
y
1
1
3
5
C
x
2
0
2
4
y
13
5
3
59
X
D
x
1
5
9
13
y
2
2
0
4
F 2
G 4
2. The vertex of this parabola shows that
the
value of the function is
.
5. Find the axis of symmetry of the graph
2
of y x 10x 16.
A x 10
C x 5
B x 8
D x 13
Y
6. If you graph y 2x 2 8x 10, the
.
y-intercept would be
F 18
H 2
G 10
J 5
X
7. The height of a ball in feet is modeled
2
by f x 16x 128x, where x is the
time in seconds after it is hit. How long is
the ball in the air?
F maximum, 1
G maximum, 4
H minimum, 1
J minimum, 4
Y
3. Which table of values would you use to
2
graph y x 3?
A x
2 1
0
1
2
B
C
D
H 2 and 4
J no zeros
y
32
1
0
1
32
x
2
1
0
1
2
y
1
4
9
16
25
x
2
1
0
1
2
y
7
4
3
4
7
x
2
1
0
1
2
y
12
3
0
3
12
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a107c09_Assess.indd 169
A 4s
B 8s
169
X
C 128 s
D 256 s
Holt Algebra 1
12/28/05 3:20:45 PM
Process Black
Name
CHAPTER
9
Date
Class
Chapter Test
Form B
continued
8. Compare the graph of g x 6x 2 with
2
the graph of f x x .
F g x is narrower.
G g x is translated up.
H g x is translated down.
J g x is wider.
12. Solve 9x 2 4 0 using square roots.
9
4
F x __
H x __
4
9
13. Which number completes the square to
form a perfect square trinomial?
9. Use this graph of the quadratic function
2
y 2x 4x 6 to solve the equation
2
2x 4x 6 0.
x 2 7x 49
B ___
D 49
4
2
14. Solve x 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
49
C ___
2
7
A __
2
Y
3
J x __
2
2
G x __
3
X
2
15. Solve 3x 5x 8 using the Quadratic
Formula.
A x 3 or x 8
8
B x 1 or x __
3
A x 2 or x 4
B x 1 or x 3
71
________
C x5
6
D no real solutions
C x 0 or x 2
D x1
16. Find the number of real solutions of the
2
equation x 10x 35 0 using the
discriminant.
F 0
H 2
G 1
J 3
10. Solve x 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
2
11. A stunt diver jumps from the top of a
40-meter platform. The diver’s height
2
above the water is modeled by h 5t
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 2s
C 8s
B 4s
D 10 s
Copyright © by Holt, Rinehart and Winston.
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a107c09_Assess.indd 170
170
Holt Algebra 1
12/28/05 3:20:47 PM
Process Black
Name
Date
CHAPTER
9
Class
Chapter Test
Form C
2
4. Find the zero(s) of y x 5 from its
graph below.
Select the best answer.
1. Which function is quadratic?
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 }
Y
2. The vertex of this parabola shows that
value of the function is
.
the
Y
X
F 0
G 5
5. Find the axis of symmetry and vertex of
2
the graph of y 2x 12x 5.
A x 3, 3, 59 C x 3, 3, 13 B x 3, 3, 23 D x 3, 3, 47 X
F maximum, 3
G maximum, 0
H 0 and 5
J no zeros
2
6. If you graph 3x 18x 6 3y, the
.
y-intercept would be
F 6
H 2
G 3
J 3
H minimum, 3
J minimum, 0
3. Which table of values would you use to
2
graph y 2x 4?
A
x
2
1
0
1
2
y
72
50
32
18
8
7. The height of a ball in feet is modeled by
2
f x 16x 72x, where x is the time
in seconds after it is hit. How long is the
ball in the air?
Y
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
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a107c09_Assess.indd 171
A 2.25 s
B 4.5 s
171
X
C 9s
D 81 s
Holt Algebra 1
12/28/05 3:20:47 PM
Process Black
Name
CHAPTER
9
Date
Class
Chapter Test
Form C
continued
8. Compared to the graph of f x x 2, the
2
graph of g x 2x 5 is _____.
F narrower and translated down
G narrower and translated up
H wider and translated down
J wider and translated up
2
12. Solve 36x 9 16 using square
roots.
1
25
F x __
H x ___
2
36
2
5
G x __
J x __
3
6
13. Which number completes the square to
form a perfect square trinomial?
9. Use this graph of the quadratic function
2
y x 6x to solve the equation
2
x 6x 0.
9x x 2 9
A __
2
Y
81
1
B __
D ___
4
4
14. Solve 3x 2 x 2 0.
2
F x 1 or x __
3
73
________
G x1
6
7
_______
H x1
3
J no real solutions
X
15. Solve 4x 2 5x 9 using the
Quadratic Formula.
A x 6 or x 0 C x 4 or x 2
B x 5 or x 1 D x 1
1
A x 1 or x __
4
9
B x 1 or x __
4
2
10. Solve 4x 14x 8 by factoring.
F x 2 or x 1
119
__________
C x 5
8
D no real solutions
1 or x 4
G x __
2
1 or x 8
H x __
4
16. Find the number of real solutions of the
2
equation 64x 9 48x using the
discriminant.
F 0
H 2
G 1
J 3
7
J x 0 or x __
4
11. A 2-meter tall soccer player bunts the
ball with his head. The ball’s height
above the ground is modeled by
2
h 5t 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.
1s
C 1s
A __
5
2s
B __
5
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a107c09_Assess.indd 172
C 3
D 2s
172
Holt Algebra 1
6/2/06 2:21:57 PM
Name
Date
Class
Chapter Test
CHAPTER
9
Form A
4. Find the zeros of y x 2 x 6 from
its graph below.
1. Tell whether this function is quadratic.
Explain.
2x y 3x 9
Y
X
2. Identify the vertex of this parabola. Then
give the minimum or maximum value of
the function.
Y
5. The zeros of the graph of a quadratic
function are 2 and 6. What is its axis of
symmetry?
X
6. If you graph y x 2 8x 10, what
would be the y-intercept?
vertex:
3. Use a table of values to graph
2
y 2x .
x
2
1
0
1
7. The height of a ball in meters is modeled
2
by f x 5x 40x, where x is the
time in seconds after it is hit. How long
is the ball in the air?
2
y
Y
y
4
2
6
4
2
0
2
4
6
x
2
4
6
8
X
10
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a107c09_Assess.indd 173
173
Holt Algebra 1
6/2/06 2:21:58 PM
Name
Date
CHAPTER
Chapter Test
9
Form A continued
8. Compare the graph of g x x 2 5
2
with the graph of f x x .
Class
11. A stunt diver jumps from the top of a
96-foot platform. The diver’s height
above the water is modeled by
2
h 16t 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.
9. Use this graph of the quadratic function
2
y x 4 to solve the equation
2
x 4 0.
12. Solve x 2 121 using square roots.
Y
13. Complete the square to form a perfect
square trinomial.
x 2 2x X
14. Solve x 2 4x 32 by completing the
square.
15. Solve 3x 2 5x 1 0 using the
Quadratic Formula.
16. Find the number of real solutions of the
2
equation x 2x 8 0 using the
discriminant.
2
10. Solve x 2x 24 0 by factoring.
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a107c09_Assess.indd 174
174
Holt Algebra 1
12/28/05 3:20:50 PM
Process Black
Name
Date
CHAPTER
9
Class
Chapter Test
Form B
4. Find the zeros of y ⫽ x 2 ⫺ x ⫺ 6 from
its graph below.
1. Tell whether this function is quadratic.
Explain.
x
⫺2
0
2
4
y
5
⫺1
⫺3
⫺1
Y
Yes
the second differences are constant.
X
2. Identify the vertex of this parabola. Then
give the minimum or maximum value of
the function.
Y
X
2; 3
5. Find the axis of symmetry of the graph
2
of y ⫽ x ⫺ 12x ⫹ 8.
x6
6. If you graph y ⫽ 5x 2 ⫹ 7x ⫺ 15, what
would be the y-intercept?
3, 5 vertex:
15
Minimum is 5.
7. The height of a ball in meters is modeled
2
by f x ⫽ ⫺5x ⫹ 50x, where x is the
time in seconds after it is hit. How long is
the ball in the air?
3. Use a table of values to graph
2
y ⫽ x ⫺ 4.
x
⫺2
y
0
⫺1
0
1
2
3 4 3
Y
0
Y
X
a107c09_Assess.indd 175
X
10 seconds
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
175
Holt Algebra 1
5/9/06 1:59:44 PM
Process Black
Name
Date
CHAPTER
9
Class
Chapter Test
Form B
continued
1 x 2 with
8. Compare the graph of g x __
3
2
the graph of f x x .
12. Solve 16x 2 1 0 using square roots.
g x has the same axis of symmetry,
has the same vertex, and also
1
x __
4
opens upward, but it is wider.
9. Use this graph of the quadratic function
2
y x 4x 5 to solve the equation
2
x 4x 5 0.
13. Complete the square to form a perfect
square trinomial.
25
___
Y
4
x 5x 2
14. Solve x 2 6x 13 0 by completing
the square.
X
x 3 22 or x 3 22
15. Solve 2x 2 7x 8 using the
Quadratic Formula.
x 5 or x 1
10. Solve x 2 18 11x by factoring.
no real solutions
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
2
h 16t 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.
16. Find the number of real solutions of the
2
equation x 18x 81 0 using the
discriminant.
1 one real solutions 3 seconds
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a107c09_Assess.indd 176
176
Holt Algebra 1
12/28/05 3:20:52 PM
Process Black
Name
Date
CHAPTER
9
Class
Chapter Test
Form C
2
4. Find the zeros of y x 4x 5 from
its graph below.
1. Tell whether this function is quadratic.
Explain.
{ 7, 256 , 5, 16 , 3, 0 , 1, 16 }
Y
2. Identify the vertex of this parabola. Then
give the minimum or maximum value of
the function.
Y
X
5. Find the axis of symmetry and vertex of
2
the graph of y 2x 20x 40.
X
axis of symmetry:
vertex:
6. If you graph 2y 8 6x 2 10x, what
will be the y-intercept?
vertex:
3. Use a table of values to graph
2
y 3x 8.
x
2
1
0
1
7. The height of a ball in meters is modeled
2
by f x 5x 36x, where x is the
time in seconds after it is hit. How long
is the ball in the air?
2
y
Y
Y
X
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a107c09_Assess.indd 177
177
X
Holt Algebra 1
12/28/05 3:20:53 PM
Process Black
Name
CHAPTER
9
Date
Class
Chapter Test
Form C
continued
8. Compare the graph of g x x 2 3
2
with the graph of f x x .
12. Solve 4x 2 11 36 using square roots.
13. Complete the square to form a perfect
square trinomial.
9. Use this graph of the quadratic function
2
y x 2x to solve the equation
2
x 2x 0.
3x x 2 __
5
Y
14. Solve 2x 2 x 8 0 by completing
the square.
X
15. Solve 3x 1 5x 2 using the Quadratic
Formula.
16. Find the number of real solutions of the
2
equation 4x 6 7x using the
discriminant.
10. Solve 26x 15 8x by factoring.
2
11. A 6-foot tall soccer player bunts the ball
with his head. The ball’s height above
the ground is modeled by
2
h 16t 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.
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a107c09_Assess.indd 178
178
Holt Algebra 1
12/28/05 3:20:54 PM
Process Black
Answer Key
continued
Chapter Test Form A
Chapter Test Form C
1. B
1. D
2. C
2. J
3. A
3. B
4. C
4. J
5. B
5. C
6. H
6. B
7. B
7. B
8. F
8. D
9. A
10. A
11. B
12. A
9. A
10. G
11. B
12. J
13. D
13. C
14. F
14. A
15. D
15. A
16. G
16. C
Chapter Test Form B
Chapter Test Form A
1. A
1. No the the function cannot be written in
2
the form y ax bx c.
2. G
2. 1, 3 maximum is 3.
3. C
3.
4. F
5. C
x
2
1
0
1
2
y
8
2
0
2
8
Y
6. G
7. B
8. F
9. B
10. H
X
11. B
12. G
13. B
14. J
15. B
16. F
Copyright © by Holt, Rinehart and Winston.
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a107_Assess_Answer.indd 283
283
Holt Algebra 1
6/2/06 2:13:09 PM
Answer Key
continued
4. 2 and 3
3.
5. x 4
x
2
1
0
1
2
y
0
3
4
3
0
6. 10
Y
7. 8 seconds
Y
X
4. 2; 3
X
5. x 6
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 .
6. 15
7. 10 seconds
Y
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
5 13
15. x _________
6
16. 0 (no real solutions)
X
8. g x has the same axis of symmetry, has
the same vertex, and also opens upward,
but it is wider.
Chapter Test Form B
1. Yes, the second differences are constant.
2. 3, 5 Minimum is 5.
9. x 5 or x 1
10. x 2 or x 9
11. 3 seconds
1
12. x __
4
25
13. ___
4
14. x 3 22 or x 3 22
Copyright © by Holt, Rinehart and Winston.
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a107_Assess_Answer.indd 284
284
Holt Algebra 1
6/2/06 2:13:10 PM
Answer Key
continued
x
2
1
0
1
2
3 or x __
5
10. x __
4
2
3 second
11. __
8
5
12. x __
2
9
13. ____
100
14. no real solutions
29
________
15. x 3
10
16. 2 two real solutions y
4
5
8
5
4
Performance Assessment
15. no real solutions
16. 1 one real solutions Chapter Test Form C
1. No the second differences are
not constant.
2. 0, 4 maximum is 4.
3.
1. 20, 24, 40, or 50 ft
Y
2. 10 w, 12 w, 20 w, or 25 w
2
2
3. A w 10w, A w 12w, A 2
2
w 20w, or A w 25w
5. 0 and 10, 0 and 12, 0 and 20, or 0 and
2
25; the widths that create an area of 0 ft .
X
6. x 5, x 6, x 10, or x 12.5; the
x-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.
4. no zeros
5. x 5 5, 10 8. 5 ft by 5 ft, 6 ft by 6 ft, 10 ft by 10 ft, or
12.5 ft by 12.5 ft
6. 4
9. a square
7. 7.2 seconds
10. a. No dimensions work; b. 36 w 10w has no real solutions.; 6 ft by 6 ft;
2
36 w 12w has only one solution,
w 6 and l 6 .; c. 2 ft by 18 ft; 36 2
w 20w has two solutions, w 2
and l 18 or w 18 and l 2 .;
25 481 ft by 25
481
___________
ft;
d. ___________
Y
2
2
2
36 w 25w has two solutions,
25 481 .
w ___________
2
2
X
Cumulative Test
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).
1. B
9. x 0 or x 2
3. C
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285
2. J
Holt Algebra 1