Free Printable Solving Inequalities Quiz Review

1.

14.
Select the correct symbol and solution.

a)

$\le$

b)

$\ge$

c)

6.5

d)

3

e)

8

2.

3.

(a)

3.

Solve
-9h > (-63)

a)

h < 7

b)

h > 7

c)

h < -7

d)

h > -7

4.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

5.

Solve

a)

x < 53

b)

x > 47

c)

x = -47

d)

x ≤ 53

6.

Solving inequalities is

the same as solving equations

with ONE exception:

a)

flip the inequality symbol when the solution is negative

b)

flip the inequality symbol at all times

c)

flip the inequality symbol when multiplying or dividing by a negative coefficient

d)

flip the inequality symbol when one of the terms is negative

7.

When you graph an inequality, you used a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

8.

Which of the following are solutions to the inequality:

4x - 6 > 6x - 20

a)

7, 8, 9, 10

b)

7, 6, 5, 4

c)

8, 9, 10, 11

d)

-2, 0, 2, 4

9.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

10.

Which number line shows the solution set to the inequality below?
x - 3 > -3

a)

A

b)

B

c)

C

d)

D

11.

Graph the inequality on the number line.

a)

b)

c)

d)

12.

Solve the inequality.

a)

r > -47

b)

r > 18

c)

r < 18

d)

r < -47

13.

Solve the inequality.

a)

p < -44

b)

p < -10

c)

p < -8

d)

p < -4

14.

Solve the inequality.

a)

m > -14

b)

m < -14

c)

m > -18

d)

m > -45

15.

Which of the following can NOT be a value for x $\ge$ -7 ?

a)

-7

b)

-3

c)

-10

d)

0

16.

Which inequality can be used to solve the following word problem: The quotient of b and 0.3 is at most 15.

a)

$0.3b\le15$

b)

$0.3b\ge15$

c)

$\frac{b}{0.3}\le15$

d)

$\frac{b}{0.3}\ge15$

17.

Which inequality can be used to solve the following word problem: Ms. Rubenstein's height does not exceed 5ft.

a)

$x\le5$

b)

$x<5$

c)

$x\ge5$

d)

$x<5$

18.

$\frac{x}{8}-1\ <\ 3$

a)

x < 16

b)

x > 16

c)

x < 32

d)

x < 10

19.

At the carnival, admission is $55. It cost $1.25 per ride ticket. If Lou has $200 to spend, what is the maximum number of rides he can go on?

Which inequality represents this word problem?

a)

1.25x + 55 ≤ 200

b)

1.25x + 55 ≥ 200

c)

1.25 + 55x > 200

d)

1.25 + 55x < 200

20.

5z - 2 - 2z < 13

a)

z > 5

b)

z < 5

c)

z > 1

d)

z < 1

21.

You flip an inequality symbol when you...

a)

subtract

b)

multiply and divide only

c)

multiple by a negative number

d)

multiple or divide by a negative number

22.

-2 (x+2) < 14

a)

x < - 5

b)

x > -5

c)

x < -9

d)

x > -9

23.

Does the sign need to flip when solving?
m - 5 > 8

a)

Yes

b)

No

24.

When graphing b< 6 would you use an open or closed circle?

a)

Open

b)

closed

25.

Solve for r

a)

r ≥ 6

b)

r ≥ 10.9

c)

r ≥ 30

d)

r ≥ 75

26.

Solve:
287 ≤ 7(1 + 5p)

a)

p ≤ 8

b)

p ≥ 8

c)

p ≤ 56

d)

p ≥ 56

27.

Solve:
7(x + 3) < 5x + 13

a)

x>-4

b)

x < 17

c)

x<-4

d)

x > -17

28.

Choose the solution that makes the statement true.

x+6>9

a)

-1

b)

0

c)

3

d)

6

29.

Choose the value that makes the inequality true.

4x\ge-12

a)

-2

b)

-4

c)

-7

d)

-10

30.

What inequality does the number line graph represent?

a)

x≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ 3

31.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

32.

Four times a number increased by 7 is at least 19.

a)

4x > 19

b)

4x + 7 ≥ 19

c)

4x < 19

d)

4x + 7 ≤ 19

33.

Translate the phrase or sentence into an equation, inequality or expression:

"Five subtracted from the product of a number and 3 is at least -7."

a)

5 - 3n < -7

b)

3n - 5 > -7

c)

3n - 5 < -7

d)

5 - 3n = -7

34.

A cat can have up to 8 kittens in one litter. Which algebraic inequality matches this situation?

a)

K ≤ 8

b)

K = 8

c)

K ≥ 8

d)

K < 8

35.

-4 + y < -8

a)

y < 4

b)

y < -12

c)

y < -4

d)

y < 12

36.

-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

37.

x + 5 > 7

a)

x > -2

b)

x > 2

c)

x > 12

d)

x > -12

38.

Solve the inequality

12 ≥ -6w

a)

w > -2

b)

w < -2

c)

w ≥ -2

d)

w ≤ -2

39.

Select the inequality that will require "flipping/switching the symbol."

a)

x - 2 > -18

b)

x + 2 > -18

c)

2x > -18

d)

-2x > -18

40.

Which of the following inequalities will require the inequality symbol to be flipped when solving?

a)

$-5x+3>12$

b)

$12x-7\le-24$

c)

$\frac{x}{3}-1<-3$

d)

$-2+0.5x\ge-2.6$

41.

Solve and graph the inequality.
7n - 1 > 76

a)

A

b)

B

c)

C

d)

D

42.

Solve and graph the inequality.

-x+10\le15

a)

A

b)

B

c)

C

d)

D

43.

Solve for x.

a)

x < -20

b)

x > -20

c)

x > 20

d)

x < 20

44.

Solve for x.

a)

x > 3

b)

x ≤ ⅕

c)

x ≥ 3

d)

x ≤ ⅕

45.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

46.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

47.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-2 ≤ x ≤ 6

c)

-3 ≤ x ≤ 3

d)

1 ≤ x ≤ 3

48.

x + 8 < 3 or - 8x < -40

a)

x > -5 or x < 5

b)

x < -5 and x > 5

c)

x < -5 or x > 5

d)

x > -5 and x < 5

49.

Solve:

3x + 2 < -7 or -4x + 5 < 1

a)

All real numbers

b)

x < -3 and x > 1

c)

x < -3 or x < 1

d)

x < -3 or x > 1

50.

Give the solution set for: -13<2x+5<15

a)

-9>x>5

b)

-9<x<5

c)

-4<x<5

d)

-4>x>5

51.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

52.

a)

A

b)

B

c)

C

d)

D

53.

x+2<-4 or -5x<-15

a)

-6<x<3

b)

x<-3 and x>6

c)

x<-6 or x>3

d)

No Solution

54.

Write an inequality for Graph 4.

a)

-2 < x < 5

b)

x < -2 or x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x ≤ 5

55.

Write an inequality for Graph 3.

a)

x ≤ -2 AND x > 5

b)

x ≤ -2 OR x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x < 5

56.

x + 8 < 3 or - 8x < -40

a)

x > -5 or x < 5

b)

x < -5 and x > 5

c)

x < -5 or x > 5

d)

x > -5 and x < 5

57.

Give the solution set for: -13<2x+5<15

a)

-9>x>5

b)

-9<x<5

c)

-4<x<5

d)

-4>x>5

58.

Solve and give the final solution set:

-4x + 1 ≤ 21 and 5x + 2 < 22

a)

All real numbers

b)

x ≥ -5 or x < 4

c)

No Solution

d)

x ≥ -5 and x < 4

59.

What inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

60.

Solve and give the final solution set:

-4x + 1 ≤ 21 and 5x + 2 < 22

a)

All real numbers

b)

x ≥ -5 or x < 4

c)

No Solution

d)

x ≥ -5 and x < 4

61.

Give the final solution set for:

2x + 1 > 9 or x - 4 < 6

a)

No solution

b)

4 < x < 10

c)

x > 4 or x < 10

d)

All real numbers

62.

You take a trip to the bowling alley, where each game cost $2, plus you plan to spend $10 on food. You can spend at most $25. Which inequality models this scenario?

a)

2x + 10 ≥ 25

b)

2x + 10 > 20

c)

2x + 10 ≤ 25

d)

2x + 10 < 25

63.

You have $120 budgeted to rent a moving truck for 2 days. Each day is $39, plus $0.25 per mile. How many miles can you drive the truck and stay within your budget?

a)

170 miles

b)

168 miles

c)

180 miles

d)

172 miles

64.

Four times a number, increased by 6 is greater than 22. Which inequality models this scenario?

a)

4x - 6 > 22

b)

4x + 6 < 22

c)

4x + 6 ≥ 22

d)

4x + 6 > 22

65.

Your taxi fare is $2.50 per mile, plus a $5 fee. You have a budget of $20. Which inequality models this scenario?

a)

5x + 2.50 ≤ 20

b)

2.50x + 5 < 20

c)

2.50x + 5 ≤ 20

d)

7.50x < 20

66.

Solve:
3x + 2 < -7 or -4x + 5 < 1

a)

x < -3 and x < 1

b)

x < -3 and x > 1

c)

x < -3 or x < 1

d)

x < -3 or x > 1

Solving Inequalities Quiz Review

Total questions: 66

Worksheet time: 5hrs 56mins

Similar Resources on Wayground