Free Printable Inequality Practice

1.

s - 10 ≤ 1

a)

s ≤ 11

b)

s ≤ 9

c)

s ≥ 11

d)

s ≥ 9

2.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

3.

What inequality does the number line graph represent?

a)

x <= 4

b)

x>= -4

c)

x < -4

d)

x < 4

4.

What inequality does the number line graph represent?

a)

x >= 3

b)

x > 3

c)

x < -3

d)

x <= 3

5.

Would you use a closed or open circle to graph x < 3?

a)

Closed

b)

Open

6.

What is the solution to 3x - 7 < 2?

a)

x < 3

b)

x < 4

c)

x < 2

d)

x < 5

7.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

8.

What inequality does the number line graph represent?

a)

x >= 3

b)

x > 3

c)

x < -3

d)

x <= 3

9.

Which is the solution of
-6a ≥ -36

a)

a ≥ 6

b)

-6 ≥ a

c)

a ≤ 6

d)

6 ≤ a

10.

-9p > 18

a)

p<2

b)

p<-2

c)

p>1/2

d)

p>-1/2

11.

3x < - 9

a)

x < 3

b)

x < -3

c)

x > 3

d)

x > -3

12.

3x < - 9

a)

x < 3

b)

x < -3

c)

x > 3

d)

x > -3

13.

Solve for t.

6t + 4 ≤ -2

a)

t ≤ -1

b)

t ≤ 1

c)

t=1

d)

1=t

14.

Solve for k.
2k - 9≤ -19

a)

k ≤ -5

b)

k ≤ 5

c)

k < -5

d)

k < 5

15.

3x - 2 ≥ 34

a)

x ≥ -12

b)

x ≤ -12

c)

x ≤ 12

d)

x ≥ 12

16.

Solve

a)

n < 6

b)

n > 6

c)

n < 14

d)

n > 14

17.

Which inequality symbol has a graph with an open (empty) circle?

a)

<

b)

≤

18.

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

19.

Pick the correct letter for:
6 > x

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.

Solve and graph the inequality.
-4 > (^m/₃) - 7

a)

A

b)

B

c)

C

d)

D

22.

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

a)

A

b)

B

c)

C

d)

D

23.

Solve the inequality.

-3n + 8 < 26

a)

n < - 6

b)

n > - 6

c)

n ≤ -10

d)

n > - 8

24.

Solve and graph the inequality.

-31 ≤ 8m +9

a)

A

b)

B

c)

C

d)

D

25.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

26.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

27.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

28.

Solve the following then choose the matching graph.

n + 1 ≤ 7

a)

A

b)

B

c)

C

d)

D

29.

Solve and graph.
b - (-18) > 78

a)

A

b)

B

c)

C

d)

D

30.

Solve and graph.
-83 < n - 80

a)

A

b)

B

c)

C

d)

D

31.

Solve and graph.
k - 13 > -51

a)

A

b)

B

c)

C

d)

D

32.

Solve and graph.
8a > -136

a)

A

b)

B

c)

C

d)

D

33.

Solve and graph.
n + 21 < 0

a)

A

b)

B

c)

C

d)

D

34.

Solve and graph.
^p/₇ ≤ -18

a)

A

b)

B

c)

C

d)

D

35.

Solve and graph.
-39 > n + (-25)

a)

A

b)

B

c)

C

d)

D

36.

Solve and graph.
^r/₈ < -27

a)

A

b)

B

c)

C

d)

D

37.

Solve and graph.
^x/₂₆ ≤ 12

a)

A

b)

B

c)

C

d)

D

38.

Solve and graph.
p +(-11) ≤ -11

a)

A

b)

B

c)

C

d)

D

39.

Solve and graph.
^v/₈ < -3

a)

A

b)

B

c)

C

d)

D

40.

Solve and graph.
p - 3 > -8

a)

A

b)

B

c)

C

d)

D

41.

Solve and graph.
ⁿ/₃ ≥ 9

a)

A

b)

B

c)

C

d)

D

42.

x + 5 > 7

a)

x > -2

b)

x > 2

c)

x > 12

d)

x > -12

43.

-4 + y < -8

a)

y < 4

b)

y < -12

c)

y < -4

d)

y < 12

44.

Solve
-9h > (-63)

a)

h < 7

b)

h > 7

c)

h < -7

d)

h > -7

45.

Which is the solution of
-6a ≥ -36

a)

a ≥ 6

b)

-6 ≥ a

c)

a ≤ 6

d)

6 ≤ a

46.

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

a)

Open

b)

closed

47.

Solve the inequality.
^y/_-2 ≤ 5

a)

y ≤ -5/2

b)

y ≥ -5/2

c)

y ≤ -10

d)

y ≥ -10

48.

Which inequality matches the graph?

a)

5x < 20

b)

-5x < 20

c)

5x < -20

d)

-5x < -20

49.

You flip an inequality symbol when you...

a)

subtract

b)

multiply and divide only

c)

multiply by a negative number

d)

multiply or divide by a negative number

50.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

51.

Which inequality represents the solution set for this situation?
k - 1.2 > 0.2

a)

k > 3.2

b)

k > 1.4

c)

k > 1.0

d)

k > 1.22

52.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

53.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

54.

10 < 3x + 19

a)

x < 3

b)

x > 3

c)

x < -3

d)

x > -3

55.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

56.

k - 2 < 7

a)

k < -9

b)

k > 9

c)

k < 9

d)

k > -9

57.

c - 7 > 8

a)

c < 15

b)

c > 15

c)

c < -15

d)

c > -15

58.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

59.

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

a)

≤, ≥

b)

<, >

60.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

61.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

62.

15 > -5 + z

a)

z < 20

b)

z > 20

c)

z > 10

d)

z < 10

63.

24 ≤ h + 15

a)

h ≥ 39

b)

h ≥ 9

c)

h ≤ 9

d)

h ≤ 39

64.

Which inequalitity is represented by the following graph?

a)

x ≠ 0

b)

x ≥ 0

c)

x > 0

d)

x ≤ 0

65.

Which inequality is represented by the following graph?

a)

x < −2

b)

x ≤ − 2

c)

x > − 2

d)

x ≥ − 2

66.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

67.

≤

a)

equal

b)

less than

c)

less than or equal to

d)

greater than or equal to

68.

>

a)

equal

b)

greater than

c)

greater than or equal to

d)

less than

69.

<

a)

equal

b)

less than or equal to

c)

less than

d)

greater than

70.

≥

a)

equal

b)

less than or equal to

c)

greater than or equal to

d)

greater than

71.

Which graph matches the inequality
2 > p?

a)

A

b)

B

c)

C

d)

D

72.

Which graph matches the inequality
-2 ≥ n?

a)

A

b)

B

c)

C

d)

D

73.

Which graph matches the inequality
r ≥ -6?

a)

A

b)

B

c)

C

d)

D

74.

-6 < x-5

a)

x > -1

b)

x < -1

c)

x > -11

d)

x < -11

75.

When solving an equation that uses addition, such as t + 8 = 20, what inverse operation should you use to solve for t?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

76.

When solving an equation that uses division, such as n/8 = 7, what inverse operation should you use to solve for n?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

77.

Solve the inequality t + 8 > 30

a)

t = 38

b)

t < 30

c)

t > 22

d)

t = 22

78.

Solve the inequality 12 + p > 36.

a)

p > 24

b)

p = 24

c)

p < 24

79.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

80.

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

a)

≤, ≥

b)

<, >

81.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

82.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

83.

Will my dot be colored in?
5 ≥ x

a)

Yes

b)

No

84.

7 is less than a number.

a)

x > 7

b)

x < 7

c)

x ≤ 7

d)

x ≥ 7

85.

2x + 6 ≥ -8

a)

x ≥ -7

b)

x ≤ -7

c)

x ≥ -10

d)

x ≤ -10

86.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

87.

Solve for u.
u/7 – 1 ≤ 1

a)

14≥u

b)

14≤u

c)

u≤14

d)

u ≤ -14

88.

-9a - 1 < 26

a)

a < -3

b)

a < 3

c)

a > -3

d)

a > 3

89.

11 > -3y + 2

a)

-3 > y

b)

-3 < y

c)

3 > y

d)

3 < y

90.

a)

x < -20

b)

x > -20

c)

x > 20

d)

x < 20

91.

-4x + 1 > 21

a)

x > -5

b)

x < -5

c)

x > -80

d)

x < -80

92.

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

a)

A

b)

B

c)

C

d)

D

93.

a)

A

b)

B

c)

C

d)

D

94.

Solve and graph the inequality.
3 + 9k > 111

a)

A

b)

B

c)

C

d)

D

95.

Greater than

a)

<

b)

>

c)

≤

d)

≥

96.

Less Than

a)

<

b)

>

c)

≤

d)

≥

97.

Less than or equal to

a)

<

b)

>

c)

≤

d)

≥

98.

When graphing an inequality, you use an OPEN dot when you use which symbol?

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

99.

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

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

100.

The keywords "at most" are used with which of the following symbols?

a)

≤

b)

>

c)

<

d)

≥

101.

The keywords "at least" are used with which of the following symbols?

a)

≥

b)

≤

c)

>

d)

<

102.

Write the inequality:
There are fewer than 20 days left in October.

a)

x > 20

b)

x < 20

c)

x ≥ 20

d)

x ≤ 20

103.

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

a)

x > 15

b)

x < 15

c)

x ≤ 15

d)

x ≥ 15

104.

Which of the following inequalities would require you to flip the sign when solving?

a)

2x < 3

b)

3x > - 9

c)

-4x ≥ 10

d)

5x ≤ 15

105.

Match the inequality to the picture given.

a)

x ≥ 2

b)

x < 2

c)

x > 2

d)

x ≤ 2

106.

Write the inequality for the graph up above.

a)

s ≤ 2

b)

s > 2

c)

s < 2

d)

s ≥ 2

107.

What is the inequality that would be represented by the picture above?

a)

p > 5

b)

p < 5

c)

p ≥ 5

d)

p ≤ 5

108.

What inequality is represented by the graph?

a)

x < 4

b)

x < 6

c)

x ≤ 4

d)

x > 4

109.

What is the inequality that would match the number line?

a)

j ≤ -1

b)

j < -1

c)

j > -1

d)

j ≥ -1

Inequality Practice

Total questions: 109

Worksheet time: 6hrs 56mins

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