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Chapter 14  Assessments    1503

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Standardized Test Practice

Name Date

1. What is the solution set of the quadratic inequality 2x2 2 2x 1 12 $ 36?

a. x e (2`, 24] or x e [3, `)

b. x e (2`, 23] or x e [4, `)

c. x e [24, 3]

d. x e [23, 4]

2. How many solutions does the quadratic equation 0 5 12x2 1 9x 1 1 have?

a. 0

b. 1

c. 2

d. infinitely many

3. What are the solutions to this system of equations?

  y 5 2x 1 1 y 5 2x2 1 4   a. (1, 23), (3, 25)

b. (1, 3), (3, 5)

c. (21, 3), (23, 25)

d. (1, 3), (23, 25)

4. A soccer ball is thrown upward from a height of 11 feet with an initial velocity of 20 feet per second. The height of the ball is modeled using the quadratic function h(t) 5 216t2 1 20t 1 11 where h(t) is the height, in feet, of the soccer ball and t is the time the ball has been in the air, in seconds. When is the soccer ball above 15 feet?

a. The soccer ball is above 15 feet between 0 seconds and 0.5 second.

b. The soccer ball is above 15 feet between 0.5 second and 1 second.

c. The soccer ball is above 15 feet between 0.25 second and 1 second.

d. The soccer ball is above 15 feet between 0 seconds and 0.25 second.

5. What is the axis of symmetry of the quadratic equation y 5 x2 1 x 2 6?

a. x 5 2 1 __ 2

b. x 5 2 1 __ 6

c. x 5 1 __ 6

d. x 5 1 __ 2

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1504    Chapter 14  Assessments

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Standardized Test Practice page 2

6. Cierra tossed a ball in the air. She collected data using a CBR. The graph did not show a perfect parabola. What factor may have affected that data?

a. The CBR did not move.

b. The ball is perfectly round.

c. The CBR picked up extra data.

d. The ball was thrown straight up and down.

7. What are the solutions to this system of equations?

  y 5 x2 1 x 2 12

y 5 x2 2 8x 1 6

 

a. (22, 6)

b. (2, 26)

c. (22, 6), (28, 212)

d. (2, 26), (3, 212)

8. What is the solution set of the quadratic inequality x2 2 7x 1 8 # 22?

a. x e [2, 5)

b. x e (2, 5]

c. x e (2, 5)

d. x e [2, 5]

9. How many solutions does the quadratic function f(x) 5 2 3 __ 4 x2 2 3 have?

a. 0

b. 1

c. 2

d. infinite

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Chapter 14  Assessments    1505

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Standardized Test Practice page 3

Name Date

10. What are the solution(s) to the system of equations shown?

216 212 28 24 0 4

4

24

28

212

216

8

12

16

8 12 16x

y

a. (23, 1)

b. (23, 2)

c. (24, 1)

d. (24, 3)

11. The quadratic equation y 5 24x2 1 10x 1 6 represents the height of a baseball after it is thrown into the air. When is the baseball above 10 meters?

a. The baseball is above 10 meters between 0.5 and 2 seconds.

b. The baseball is above 10 meters between 0.5 and 2.5 seconds.

c. The baseball is above 10 meters between 0 and 2 seconds.

d. The baseball is above 10 meters between 0 and 2.5 seconds.

12. What are the solutions to this system of equations?

  y 5 2x2 1 3x 1 1

y 5 x 1 5

 

a. (22, 3)

b. (1, 6)

c. (22, 3), (1, 6)

d. (2, 23), (23, 26)

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1506    Chapter 14  Assessments

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Standardized Test Practice page 4

13. What is the vertex of the quadratic function f(x) 5 x2 2 10x 1 24?

a. (10, 24)

b. (12, 48)

c. (25, 99)

d. (5, 21)

14. Bruce tossed a ball into the air. The data he collected using a CBR is shown in the table.

x 0 1 2 3 4 5

y 5 15 34 29 12 0

What quadratic equation models the data?

a. y 5 4.54x2 1 21.56x 1 3.5

b. y 5 24.54x2 1 21.56x 1 3.5

c. y 5 0.005x2 1 3.56x 1 0.11

d. y 5 20.005x2 1 3.56x 1 0.11

15. What is the solution set of the quadratic inequality x2 1 x 2 30 . 12?

a. x e (2`, 27] or x e [6, `)

b. x e (2`, 26] or x e [7, `)

c. x e (2`, 27) or x e (6, `)

d. x e (2`, 26) or x e (7, `)

16. How many roots does the quadratic function f(x) 5 25x2 have?

a. 0

b. 1

c. 2

d. infinitely many

17. What are the solutions to this system of equations?

  y 5 23x2 1 8x 2 2 y 5 2x 1 1   a. (1, 3)

b. (21, 3)

c. (1, 23)

d. (21, 23)

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Chapter 14  Assessments    1507

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Standardized Test Practice page 5

Name Date

18. What is the solution set of the quadratic inequality 8x2 1 5 # 7?

a. x e (20.5, 0.5)

b. x e [20.5, 0.5]

c. x e (2`, 20.5) or x e (0.5, `)

d. x e (2`, 20.5] or x e [0.5, `)

19. What are the roots of the quadratic equation y 5 2x2 2 7x 2 4.

a. x 5 21 and x 5 4

b. x 5 1 and x 5 24

c. x 5 20.5 and x 5 4

d. x 5 0.5 and x 5 24

20. Emily tossed a tennis ball into the air. The data she collected using a CBR is shown in the table.

x 0 1 2 3 4

y 3 12 23 11 0

What is the coefficient of determination of the data?

a. 0.10

b. 0.89

c. 0.92

d. 1