Inequalities Practice Test

Inequalities Practice Test

Multiple Choice (80 points, 5 points each)

Identify the choice that best completes the statement or answers the question.

1. Translate the word sentence into an inequality:

¡°2 less than a number is more than 8.¡±

5. Solve and graph.

3t ¨C 12 ¡Ü ¨C9

A.

B.

C.

D.

A. t ¡Ý ¨C7

¨C10 ¨C8

2. Ms. Salgado needs to have her car repaired but does

not want to spend more than $375 for the repairs.

The mechanic says that the part needed for the

repair will cost $100 and the labor will cost an

additional $40 per hour. Which inequality below

represents the greatest number of hours the

mechanic can work without exceeding Ms.

Salgado¡¯s budget?

A.

B.

C.

D.

¨C6

¨C4

¨C2

0

2

4

6

8

10

¨C6

¨C4

¨C2

0

2

4

6

8

10

¨C6

¨C4

¨C2

0

2

4

6

8

10

¨C6

¨C4

¨C2

0

2

4

6

8

10

¨C6

¨C4

¨C2

0

2

4

6

8

10

¨C6

¨C4

¨C2

0

2

4

6

8

10

¨C6

¨C4

¨C2

0

2

4

6

8

10

¨C6

¨C4

¨C2

0

2

4

6

8

10

B. t ¡Ü ¨C7

¨C10 ¨C8

C. t ¡Ý 1

¨C10 ¨C8

D. t ¡Ü 1

¨C10 ¨C8

6. Solve and graph.

c ¨C 10 + 3c < 2

3. Solve:

A. c > ¨C2

A.

B.

C.

D.

¨C10 ¨C8

B. c < 3

¨C10 ¨C8

4. Solve:

A.

B.

C.

D.

x>7

x > -7

x < -2

x 3

¨C10 ¨C8

D. c < ¨C2

¨C10 ¨C8

7. Write and solve the algebraic inequality.

The product of ¨C3 and a number is at least ¨C24.

A.

B.

C.

D.

11. Solve and graph.

A.

¨C3x ¨C24; x 8

¨C3x ¨C24; x 8

¨C3x < ¨C24; x > ¨C8

¨C3x > ¨C24; x > ¨C8

¨C10 ¨C8

¨C6

¨C4

¨C2

0

2

4

6

8

10

¨C10 ¨C8

¨C6

¨C4

¨C2

0

2

4

6

8

10

¨C10 ¨C8

¨C6

¨C4

¨C2

0

2

4

6

8

10

¨C10 ¨C8

¨C6

¨C4

¨C2

0

2

4

6

8

10

B.

8. Solve and graph the solutions of the compound

inequality

.

C.

A.

AND

0

B.

2

3

4

5

1

2

3

4

5

1

2

3

4

5

AND

0

C.

1

D.

AND

12. Solve.

0

D.

AND

0

1

2

3

4

5

9. Rhonda raised $245 for her softball team's

fundraiser. She wants to raise no less than $455.

Write and solve an inequality to determine how

much more money Rhonda must raise to reach her

goal. Let d represent the amount of money in

dollars Rhonda must raise to reach her goal.

A.

B.

C.

D.

;

;

;

;

10. Solve the inequality

A. k > ?3 1

2

B. no solution

C. all real numbers

D. k > 5 1

2

.

A.

B.

C.

D.

13. Skate World offers birthday parties for a fee of

$130 plus $3 per person. If you can spend no more

than $190 on your party, what is the maximum

number of people who can attend?

A.

B.

C.

D.

15

12

20

14

14. Sara earns $9 per hour babysitting. She must earn

a minimum of $81 next month to attend a concert.

If h represents the number of hours Sara babysits,

write an inequality to describe the situation.

A.

B.

C.

D.

15.

Solve the inequality.

B.

C.

D.

A.

16.

Solve and graph the compound inequality.

OR

OR

A.

¨C7

¨C6

¨C5

¨C4

¨C3

¨C2

¨C1

0

1

2

3

4

5

6

7

s

¨C4

¨C3

¨C2

¨C1

0

1

2

3

4

5

6

7

s

¨C4

¨C3

¨C2

¨C1

0

1

2

3

4

5

6

7

s

¨C4

¨C3

¨C2

¨C1

0

1

2

3

4

5

6

7

s

OR

B.

¨C7

¨C6

¨C5

OR

C.

¨C7

¨C6

¨C5

OR

D.

¨C7

¨C6

¨C5

Short Answer: (20 points, 5 points each)

Solve each of the following.

17. What is the value of x, such that the perimeter of

the rectangle shown is at least 48 centimeters?

20. Solve the inequality and graph.

2x + 2 < 2(3x ¨C 1)

18. Graph the solution to:

.

¨C10 ¨C8

¨C10 ¨C8

¨C6

¨C4

¨C2

0

2

4

6

8

10

2

4

6

8

10

19. Graph the solution to:

¨C10 ¨C8

¨C6

¨C4

¨C2

0

¨C6

¨C4

¨C2

0

2

4

6

8

10

Inequalities Practice Test

Answer Section

MULTIPLE CHOICE

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

16.

C

C

A

D

D

B

A

C

A

B

D

C

C

B

D

D

SHORT ANSWER

17. (4+x) + 3x + (4+x) + 3x > 48;

18. x < -3

¨C5

¨C4

¨C3

¨C2

¨C1

0

1

2

3

4

5

¨C5

¨C4

¨C3

¨C2

¨C1

0

1

2

3

4

5

¨C5

¨C4

¨C3

¨C2

¨C1

0

1

2

3

4

5

19.

20. x > 1

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