Free Printable Solving Inequalities Review

1.

m - 5 > 10

a)

m is less than 15

b)

m is greater than 5

c)

m is greater than 15

d)

m is less than 5

2.

8x ≥ -32

a)

x ≥ -4

b)

x ≥ 4

c)

x ≤ -4

d)

x ≥ 4

3.

a)

A

b)

B

c)

C

d)

D

4.

Match the graph with its inequality.

a)

c > 9

b)

c < 9

c)

c ≥ 9

d)

c ≤ 9

5.

Solve the inequality.

a)

a > 4

b)

a > 2

c)

a > 6

d)

a < 6

6.

Solve the inequality.

a)

k ≤ –11

b)

k ≤ –5

c)

k ≤ 8

d)

k ≤ –3

7.

Write an inequality for this situation:
We need to make at least $10,000

a)

x < 10000

b)

x > 10000

c)

x ≤ 10000

d)

x ≥ 10000

8.

Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.

a)

s < 55

b)

s > 55

c)

s ≤ 55

d)

s ≥ 55

9.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

10.

x + 5 > 7

a)

x > -2

b)

x > 2

c)

x > 12

d)

x > -12

11.

y - 13 ≤ -15

a)

y ≤ 2

b)

y ≤ -2

c)

y ≤ 28

d)

y ≤ -28

12.

r - 14 ≥ 17

a)

r ≥ 3

b)

r ≥ -31

c)

r ≥ 31

d)

r ≥ -3

13.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

14.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

15.

22 < 6c + 4

a)

11>c

b)

3>c

c)

11<c

d)

3<c

16.

Do I need to flip my sign?
-3x ≥ 12

a)

Yes

b)

No

17.

Do I need to flip my sign?
3x ≥ 12

a)

Yes

b)

No

18.

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

a)

Open

b)

closed

19.

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

a)

A

b)

B

c)

C

d)

D

20.

Solve and graph the inequality.
77 ≤ 5 + 8n

a)

A

b)

B

c)

C

d)

D

21.

7x < 49

a)

x > 7

b)

x < 7

c)

x > 2

d)

x < 42

22.

x + 5 > 7

a)

x > -2

b)

x > 2

c)

x > 12

d)

x > -12

23.

4x + 1 > 13

a)

x > 48

b)

x < 3

c)

x > 3.5

d)

x > 3

24.

-9x + 7 ≥ 25

a)

x ≥ -3.6

b)

x ≤ 2

c)

x ≥ -2

d)

x ≤ -2

25.

Solve:
8m - 9 > 71

a)

m > 10

b)

m > 1

c)

m < 1

d)

m > -48

26.

15 + 7x ≥ 29

a)

x ≥ 2

b)

x ≥ -2

c)

x ≤ 2

d)

x > 2

27.

Does the sign need to flip when solving?
-2x ≥ 22

a)

YES

b)

NO

28.

-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

29.

x - 4 > 5

a)

x < 9

b)

x ≥ 9

c)

x > 1

d)

x > 9

30.

7b - 3 < 11

a)

b < 2

b)

84 > b

c)

b > 2

d)

b < 84

31.

x + 0.7 > - 0.3

a)

x > - 0.4

b)

x > 0.4

c)

x > -1

d)

x > 1

32.

w - 8 ≥ 5.6

a)

w ≥ -3.6

b)

w ≥ 3.6

c)

w ≥ -13.6

d)

w ≥ 13.6

33.

Write an inequality for this statement:

Four more than a number is more than 13

a)

n + 4 ≥ 13

b)

n + 4 > 13

c)

13 > n + 4

d)

13 < 4n

34.

Write an inequality for this statement:

The sum of a number and 19 is at least 8.2

a)

n + 19 ≥ 8.2

b)

n - 19 ≥ 8.2

c)

n + 19 ≤ 8.2

d)

n - 19 ≤ 8.2

35.

-3t ≥ 33

a)

t ≥ -11

b)

t ≤ -11

36.

-56 ≤ -8r

a)

7 ≥ r

b)

-7 ≥ r

37.

x/13 + 3 ≥ 4

a)

x ≥ 13

b)

13 ≥ x

c)

x ≥ 91

d)

91 ≥ x

38.

6x + 14 ≥ 20

a)

x ≥ 1

b)

1 ≥ x

c)

x ≥ 5.6

d)

5.6 ≥ x

39.

Solve the inequality

6y ≤ 18

a)

y ≤ 3

b)

3 ≤ y

c)

y > 3

d)

3 > y

40.

$\frac{x}{2\ }\ <\ 4$

a)

$x\ =\ 8$

b)

$x\ <\ 8$

c)

$x\ \le\ 8$

41.

$4\ \le\ n\ -\ 4$

a)

$n\ \le\ 0$

b)

$n\ \ge\ 0$

c)

$n\ \ge\ 8$

d)

$n\ \le\ 8$

42.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

43.

0.5(x - 8) < 2

a)

x > 20

b)

x < 20

c)

x > 12

d)

x < 12

44.

Solve:

a)

x < 24

b)

x < 3

c)

x > 24

d)

x < 10.3333....

45.

hint: move 11 first

a)

x ≤ 12

b)

x ≥ 12

c)

x ≥ 14

d)

x ≥ 23

46.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

47.

a)

A

b)

B

c)

C

d)

D

48.

a)

A

b)

B

c)

C

d)

D

49.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

50.

What inequality does the number line graph represent?

a)

x > 5

b)

x < −5

c)

x ≥ 5

d)

x ≥ −5

51.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

52.

What inequality does the number line graph represent?

a)

x ≤ -4

b)

x ≥ -4

c)

x < -4

d)

x < 4

53.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

54.

you must be at least 48 inches to ride the roller coaster.

a)

x > 48

b)

x < 48

c)

x ≤ 48

d)

x ≥ 48

55.

You can spend no more than 20 dollars on your mom's birthday present.

a)

x > 20

b)

x < 20

c)

x ≤ 20

d)

x ≥ 20

56.

A student must be at least 15 years old (15 years old or older) to obtain a driver’s permit.

a)

x > 15

b)

x < 15

c)

x ≤ 15

d)

x ≥ 15

57.

Which graph matches the inequality
x < -2.8?

a)

A

b)

B

c)

C

d)

D

58.

Less than:

a)

≥

b)

≤

c)

<

d)

>

59.

Greater than or equal to:

a)

<

b)

≤

c)

≥

d)

>

60.

2 times the sum of y and 5

a)

62

b)

2(y+5)

c)

2(6y)

d)

2 ∗ y + 5

61.

No More Than

a)

<

b)

>

c)

≤

d)

≥

62.

At Least

a)

<

b)

>

c)

≤

d)

≥

63.

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

64.

-3x − 4 < 5

a)

x > -3

b)

x < -3

c)

x < 3

d)

x > 3

65.

Solve for k.
2k - 9≤ -19

a)

k ≤ -5

b)

k ≤ 5

c)

k < -5

d)

k < 5

66.

Graph after solving: $-2x+15<19$

a)

b)

c)

d)

67.

Graph after solving: $-3x+5\ge8$

a)

b)

c)

d)

68.

Graph after solving: $-\frac{1}{2}x+7>5$

a)

b)

c)

d)

69.

Graph after solving: $4\left(x-12\right)>-24$

a)

b)

c)

d)

70.

Graph after solving: $-\frac{1}{2}x+7>5$

a)

b)

c)

d)

Solving Inequalities Review

Total questions: 70

Worksheet time: 3hrs 31mins

Similar Resources on Wayground