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Inequality Worksheet with Answers, Exercises of Linear Algebra

20 questions on inequalities

Typology: Exercises

2020/2021

Uploaded on 04/20/2021

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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.”
A.
B.
C.
D.
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.
3. Solve:
A.
B.
C.
D.
4. Solve:
A.
x > 7
B.
x > -7
C.
x < -2
D.
x < 2
5. Solve and graph.
3
t – 12 –9
A.
t –7
02468100–2–4–6–8–10
B.
t
–7
02468100–2–4–6–8–10
C.
t 1
02468100–2–4–6–8–10
D.
t 1
02468100–2–4–6–8–10
6. Solve and graph.
c – 10
c < 2
A.
c > –2
02468100–2–4–6–8–10
B.
c
< 3
02468100–2–4–6–8–10
C.
c > 3
02468100–2–4–6–8–10
D.
c < –2
02468100–2–4–6–8–10
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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.”

A.

B.

C.

D.

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.

3. Solve:

A.

B.

C.

D.

4. Solve:

A. x > 7

B. x > -

C. x < -

D. x < 2

5. Solve and graph.

3 t – 12 ≤ –

A. t ≥ –

B. t ≤ –

C. t ≥ 1

D. t ≤ 1

6. Solve and graph.

c – 10 +^3 c < 2

A. c > –

B. c < 3

C. c > 3

D. c < –

7. Write and solve the algebraic inequality.

The product of –3 and a number is at least –24.

A. –3 x –24; x 8

B. –3 x –24; x 8

C. –3 x < –24; x > –

D. –3 x > –24; x > –

8. Solve and graph the solutions of the compound

inequality.

A. AND

B. AND

C. AND

D. AND

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

B. no solution

C. all real numbers

D. k > 5 1

11. Solve and graph.

A.

B.

C.

D.

12. Solve.

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. 15

B. 12

C. 20

D.^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.

Inequalities Practice Test

Answer Section

MULTIPLE CHOICE

1. C

2. C

3. A

4. D

5. D

6. B

7. A

8. C

9. A

10. B

11. D

12. C

13. C

14. B

15. D

16. D

SHORT ANSWER

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

18. x < -

20. x > 1