Free Printable Inequalities

1.

A number x is more than 15

a)

$x<15$

b)

$x\le15$

c)

$x>15$

d)

$x\ge15$

2.

A number x is less than 23

a)

$x<23$

b)

$x\le23$

c)

$x>23$

d)

$x\ge23$

3.

A number x is at most 8

a)

$x<8$

b)

$x\le8$

c)

$x>8$

d)

$x\ge8$

4.

The sum of x and 3 is greater than or equal to 19

a)

$x+3<19$

b)

$x+3\le19$

c)

$x+3>19$

d)

$x+3\ge19$

5.

$\frac{a}{4}>5;\ a=28$ Tell whether the given value is a solution to the inequality. (Write, Substitute, Solve)

a)

$7>5$ NO

b)

$28>5\$ NO

c)

$7>5$ YES

d)

$28>5$ YES

6.

$z+4.5\le13;\ z=9.5$ Tell whether the given value is a solution to the inequality. (Write, Substitute, Solve)

a)

$14\le13$ NO

b)

$14\le13$ YES

7.

Write an inequality that represents the graph.

a)

$y<-5$

b)

$y>-5$

c)

$y\le-5$

d)

$y\ge-5$

8.

Write an inequality that represents the graph.

a)

$y<7$

b)

$y>7$

c)

$y\le7$

d)

$y\ge7$

9.

Write an inequality that represents the graph.

a)

$y<-3$

b)

$y>-3$

c)

$y\le-3$

d)

$y\ge-3$

10.

$x<\frac{4}{5}$ Which point and graph represents the inequality?

a)

b)

c)

d)

11.

$x\ge-3$ Which point and graph represents the inequality?

a)

b)

c)

d)

12.

$p\le2.6$ Which point and graph represents the inequality?

a)

b)

c)

d)

13.

$y>-\frac{2}{3}$ Which point and graph represents the inequality?

a)

b)

c)

d)

14.

$2.5<n$ Which point and graph represents the inequality?

a)

b)

c)

d)

15.

$7\ge m$ Which point and graph represents the inequality?

a)

b)

c)

d)

16.

A number x is more than 15

a)

$x<15$

b)

$x\le15$

c)

$x>15$

d)

$x\ge15$

17.

A number x is less than 23

a)

$x<23$

b)

$x\le23$

c)

$x>23$

d)

$x\ge23$

18.

A number x is at most 8

a)

$x<8$

b)

$x\le8$

c)

$x>8$

d)

$x\ge8$

19.

The sum of x and 3 is greater than or equal to 19

a)

$x+3<19$

b)

$x+3\le19$

c)

$x+3>19$

d)

$x+3\ge19$

20.

$\frac{a}{4}>5;\ a=28$ Tell whether the given value is a solution to the inequality. (Write, Substitute, Solve)

a)

$7>5$ NO

b)

$28>5\$ NO

c)

$7>5$ YES

d)

$28>5$ YES

21.

$z+4.5\le13;\ z=9.5$ Tell whether the given value is a solution to the inequality. (Write, Substitute, Solve)

a)

$14\le13$ NO

b)

$14\le13$ YES

22.

Write an inequality that represents the graph.

a)

$y<-5$

b)

$y>-5$

c)

$y\le-5$

d)

$y\ge-5$

23.

Write an inequality that represents the graph.

a)

$y<7$

b)

$y>7$

c)

$y\le7$

d)

$y\ge7$

24.

Write an inequality that represents the graph.

a)

$y<-3$

b)

$y>-3$

c)

$y\le-3$

d)

$y\ge-3$

25.

$x<\frac{4}{5}$ Which point and graph represents the inequality?

a)

b)

c)

d)

26.

$x\ge-3$ Which point and graph represents the inequality?

a)

b)

c)

d)

27.

$p\le2.6$ Which point and graph represents the inequality?

a)

b)

c)

d)

28.

$y>-\frac{2}{3}$ Which point and graph represents the inequality?

a)

b)

c)

d)

29.

$2.5<n$ Which point and graph represents the inequality?

a)

b)

c)

d)

30.

$7\ge m$ Which point and graph represents the inequality?

a)

b)

c)

d)

31.

There are no more than 18 students on the hall.

a)

s>18

b)

s<18

c)

s≤18

d)

s≥18

32.

There are fewer than 150 children at the playground.

a)

c<150

b)

c>150

c)

c≤150

d)

c≥150

33.

At least 25 cats are on my porch.

a)

c<25

b)

c>25

c)

c≤25

d)

c≥25

34.

Grace has $45 at most in her purse.

a)

g<45

b)

g>45

c)

g≤45

d)

g≥45

35.

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

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

36.

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

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

37.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

38.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

39.

What inequality does the number line graph represent?

a)

x ≤ -4

b)

x ≥ -4

c)

x < -4

d)

x < 4

40.

What inequality does the number line graph represent?

a)

x≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ 3

41.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

42.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

43.

c - 7 > 8

a)

c < 15

b)

c > 15

c)

c < - 15

d)

c >, = 15

44.

8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

45.

x ÷ 9 ≤ 1

a)

x ≤ 1

b)

x ≤ 1/9

c)

x ≤ 9

d)

x ≤ 8

46.

$\frac{d}{5}>4$

a)

$d>20$

b)

$d>5$

c)

$d>4$

d)

$d>\frac{4}{5}$

47.

Solve and graph

a)

a

b)

b

c)

c

d)

d

48.

Solve and graph

a)

a

b)

b

c)

c

d)

d

49.

a)

a

b)

b

c)

c

d)

d

50.

Solve and graph

a)

a

b)

b

c)

c

d)

d

51.

a)

a

b)

b

c)

c

d)

d

52.

$\frac{7}{8}x\ <21$

a)

$x<20\ \frac{1}{8}$

b)

$x<147$

c)

$x<24$

d)

$x<\frac{7}{8}$

53.

$2n>16;\ n=9$ Is part of solution set?

a)

Yes

b)

No

54.

$x-1\le9;\ x=10\ \$ Is part of solution set?

a)

yes

b)

no

55.

There are no more than 18 students on the hall.

a)

s>18

b)

s<18

c)

s≤18

d)

s≥18

56.

There are fewer than 150 children at the playground.

a)

c<150

b)

c>150

c)

c≤150

d)

c≥150

57.

At least 25 cats are on my porch.

a)

c<25

b)

c>25

c)

c≤25

d)

c≥25

58.

Grace has $45 at most in her purse.

a)

g<45

b)

g>45

c)

g≤45

d)

g≥45

59.

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

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

60.

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

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

61.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

62.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

63.

What inequality does the number line graph represent?

a)

x ≤ -4

b)

x ≥ -4

c)

x < -4

d)

x < 4

64.

What inequality does the number line graph represent?

a)

x≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ 3

65.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

66.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

67.

c - 7 > 8

a)

c < 15

b)

c > 15

c)

c < - 15

d)

c >, = 15

68.

8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

69.

x ÷ 9 ≤ 1

a)

x ≤ 1

b)

x ≤ 1/9

c)

x ≤ 9

d)

x ≤ 8

70.

$\frac{d}{5}>4$

a)

$d>20$

b)

$d>5$

c)

$d>4$

d)

$d>\frac{4}{5}$

71.

Solve and graph

a)

a

b)

b

c)

c

d)

d

72.

Solve and graph

a)

a

b)

b

c)

c

d)

d

73.

a)

a

b)

b

c)

c

d)

d

74.

Solve and graph

a)

a

b)

b

c)

c

d)

d

75.

a)

a

b)

b

c)

c

d)

d

76.

$\frac{7}{8}x\ <21$

a)

$x<20\ \frac{1}{8}$

b)

$x<147$

c)

$x<24$

d)

$x<\frac{7}{8}$

77.

$2n>16;\ n=9$ Is part of solution set?

a)

Yes

b)

No

78.

$x-1\le9;\ x=10\ \$ Is part of solution set?

a)

yes

b)

no

79.

There are no more than 18 students on the hall.

a)

s>18

b)

s<18

c)

s≤18

d)

s≥18

80.

There are fewer than 150 children at the playground.

a)

c<150

b)

c>150

c)

c≤150

d)

c≥150

81.

At least 25 cats are on my porch.

a)

c<25

b)

c>25

c)

c≤25

d)

c≥25

82.

Grace has $45 at most in her purse.

a)

g<45

b)

g>45

c)

g≤45

d)

g≥45

83.

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

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

84.

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

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

85.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

86.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

87.

What inequality does the number line graph represent?

a)

x ≤ -4

b)

x ≥ -4

c)

x < -4

d)

x < 4

88.

What inequality does the number line graph represent?

a)

x≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ 3

89.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

90.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

91.

c - 7 > 8

a)

c < 15

b)

c > 15

c)

c < - 15

d)

c >, = 15

92.

8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

93.

x ÷ 9 ≤ 1

a)

x ≤ 1

b)

x ≤ 1/9

c)

x ≤ 9

d)

x ≤ 8

94.

$\frac{d}{5}>4$

a)

$d>20$

b)

$d>5$

c)

$d>4$

d)

$d>\frac{4}{5}$

95.

Solve and graph

a)

a

b)

b

c)

c

d)

d

96.

Solve and graph

a)

a

b)

b

c)

c

d)

d

97.

a)

a

b)

b

c)

c

d)

d

98.

Solve and graph

a)

a

b)

b

c)

c

d)

d

99.

a)

a

b)

b

c)

c

d)

d

100.

a)

A

b)

B

c)

C

d)

D

101.

a)

A

b)

B

c)

C

d)

D

102.

a)

A

b)

B

c)

C

d)

D

103.

a)

A

b)

B

c)

C

d)

D

104.

a)

A

b)

B

c)

C

d)

D

105.

a)

A

b)

B

c)

C

d)

D

106.

a)

A

b)

B

c)

C

d)

D

107.

a)

A

b)

B

c)

C

d)

D

108.

a)

X > -18

b)

X < -18

c)

X ≥ -18

d)

X ≤ -18

109.

a)

X > 35

b)

X < 35

c)

X ≤ 35

d)

X ≥ 35

110.

a)

X > -140

b)

X < -140

c)

X ≥ -140

d)

X ≤ -140

111.

a)

X > 10

b)

X < 10

c)

X ≥ 10

d)

X ≤ 10

112.

a)

X > -45

b)

X < -45

c)

X ≥ -45

d)

X ≤ -45

113.

a)

X > 80

b)

X < 80

c)

X ≥ 80

d)

X ≤ 80

114.

a)

X < 150

b)

X > 150

c)

X ≤ 150

d)

X ≥ 150

115.

a)

X > -19

b)

X < -19

c)

X ≥ -19

d)

X ≤ -19

116.

a)

X > -9

b)

X < -9

c)

X ≥ -9

d)

X ≤ -9

117.

a)

X > 17

b)

X < 17

c)

X ≥ 17

d)

X ≤ 17

118.

a)

X > 11

b)

X < 11

c)

X ≤ 11

d)

X ≥ 11

119.

a)

X < 190

b)

X > 190

c)

X ≤ 190

d)

X ≥ 190

120.

a)

A

b)

B

c)

C

d)

D

121.

a)

A

b)

B

c)

C

d)

D

122.

a)

A

b)

B

c)

C

d)

D

123.

a)

A

b)

B

c)

C

d)

D

124.

a)

A

b)

B

c)

C

d)

D

125.

a)

A

b)

B

c)

C

d)

D

126.

a)

A

b)

B

c)

C

d)

D

127.

a)

A

b)

B

c)

C

d)

D

128.

Will the circle on the graph of this inequality be opened or closed? x > 12

a)

open

b)

closed

129.

Will the circle on the graph of this inequality be opened or closed? x < 21

a)

closed

b)

open

130.

Will the circle on the graph of this inequality be opened or closed? x ≤ -9

a)

open

b)

closed

131.

Will the circle on the graph of this inequality be opened or closed? x ≤ -11

a)

open

b)

closed

132.

a)

A

b)

B

c)

C

d)

D

133.

a)

A

b)

B

c)

C

d)

D

134.

a)

A

b)

B

c)

C

d)

D

135.

Stephen has more than $400 in his bank account. The balance of his account can be represented by the variable b. Which inequality best models this situation?

a)

b < 400

b)

b > 400

c)

b ≤ 400

d)

b ≥ 453

136.

Sean has less than $900 in his bank account. The balance of his account can be represented by the variable b. Which inequality best models this situation?

a)

b > 900

b)

b ≤ 900

c)

b < 900

d)

b ≥ 900

137.

Eric has no more than $35,000 in his bank account. The balance of his account can be represented by the variable b. Which inequality best models this situation?

a)

b > 35,000

b)

b < 35,000

c)

b ≤ 35,000

d)

b ≥ 35,000

138.

You must be at least 48 inches tall to ride the Super Man ride at Six-Flags. The variable h could b used to represent the height. Which inequality best represents this situation?

a)

h < 48

b)

h > 48

c)

h ≤ 48

d)

h ≥ 48

139.

You must be more than 18 years old to join the military. The variable a could b used to represent the age. Which inequality best represents this situation?

a)

a > 18

b)

a < 18

c)

a ≤ 18

d)

a ≥ 18

140.

Eric has more than 5 brothers and sisters. Which inequality can be used to represent this situation?

a)

b < 5

b)

b > 5

c)

b ≤ 5

d)

b ≥ 5

141.

The shoes cost no more than $100. Which inequality can be used to represent this situation?

a)

s ≤ 100

b)

s < 100

c)

s ≥ 100

d)

s > 100

142.

To get on the roller coaster you must be at least 48 inches tall. Which inequality can be used to represent this situation?

a)

h ≥ 48

b)

h < 48

c)

h > 48

d)

h ≤ 48

143.

To vote you must be at least 18 years old. Which inequality can be used to represent this situation?

a)

a ≥ 18

b)

a < 18

c)

a > 18

d)

a ≤ 18

144.

The cost of the dance is more than $5. Which inequality can be used to represent this situation?

a)

c > 5

b)

c < 5

c)

c ≤ 5

d)

c ≥ 5

145.

Stacy is younger than 20 years old. Which inequality can be used to represent this situation?

a)

a < 20

b)

a > 20

c)

a ≤ 20

d)

a ≥ 20

146.

The speed limit is more than 50 miles per hour. Which inequality can be used to represent this situation?

a)

s > 50

b)

s < 50

c)

s ≤ 50

d)

s ≥ 50

147.

Myron is less than 90 inches tall. Which inequality can be used to represent this situation?

a)

m < 90

b)

m > 90

c)

m ≥ 90

d)

m ≤ 90

148.

Aisha is less than 25 years old. Which inequality can be used to represent this situation?

a)

a < 25

b)

a > 25

c)

a ≤ 25

d)

a ≥ 25

149.

Tina is more than 8 years old. Which inequality can be used to represent this situation?

a)

t > 8

b)

t < 8

c)

t ≤

Inequalities

Total questions: 149

Worksheet time: 6hrs 30mins

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