Free Printable 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.

Match the graph with its inequality.

a)

c > 9

b)

c < 9

c)

c ≥ 9

d)

c ≤ 9

3.

Solve the inequality.

a)

a > 4

b)

a > 2

c)

a > 6

d)

a < 6

4.

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

5.

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

6.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

7.

x + 5 > 7

a)

x > -2

b)

x > 2

c)

x > 12

d)

x > -12

8.

r - 14 ≥ 17

a)

r ≥ 3

b)

r ≥ -31

c)

r ≥ 31

d)

r ≥ -3

9.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

10.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

11.

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

a)

Open

b)

closed

12.

$\frac{x}{4}$ ≥ 12 (a)

Choose from the below words

x ≥ 48

x ≥ 8

x ≥ 16

x ≥ 3

13.

x – 7 > 29

x >

(a)

14.

Which inequality is true when x = 4?

a)

x + 5 ≤ 3

b)

9x > 36

c)

$\frac{x}{2}$ < 3

d)

18 ≤ x – 8

15.

Jasmine solves the equation 15x > 120.

Which number line below represents the solution set?

a)

b)

c)

d)

16.

Solve the inequality

6 + h ≥ 12

a)

h ≥ 6

b)

h ≥ -6

c)

h ≥ 18

d)

h ≥ -18

17.

14 + y > 5

a)

y > 19

b)

y > -9

c)

y > 9

d)

y > -19

18.

w - 8 ≥ 5.6

a)

w ≥ -3.6

b)

w ≥ 3.6

c)

w ≥ -13.6

d)

w ≥ 13.6

19.

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

20.

Solve the inequality

6y ≤ 18

a)

y ≤ 3

b)

3 ≤ y

c)

y > 3

d)

3 > y

21.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

22.

Pick the correct letter for:

6 > x

a)

A

b)

B

c)

C

d)

D

23.

The maximum score on the pilot's test is 95 points.

a)

p < 95

b)

p > 95

c)

p ≥ 95

d)

p ≤ 95

24.

What are two solutions to
x < 8?

a)

8.6, 7.9

b)

11, 16

c)

0.8, 5.9

d)

12, 7.1

25.

Pick the correct inequality shown in the picture.

a)

A

b)

B

c)

C

d)

D

26.

Match:
The postal scale will weigh a maximum of 50 lbs.

a)

p < 50

b)

p > 50

c)

p ≤ 50

d)

p ≥ 50

27.

Match:
You must be at least 48 inches tall to ride the bumper cars.

a)

h < 48

b)

h > 48

c)

h ≤ 48

d)

h ≥ 48

28.

Write an inequality
Tom has to have at least 15 people to go to his birthday party

a)

x<15

b)

x>15

c)

x≤15

d)

x≥15

29.

In an equation or inequality, you want to get the variable...

a)

on one side

b)

to disappear

c)

isolated (by itself)

30.

Which sentence represents m > 41?

a)

Mary’s points, m, totaled more than 41

b)

Calvin ran no less than 41 miles, m

c)

The temperature, m, was less than 41°F

d)

The magazines’ cost, m, was not more than $41.

31.

$x+4>8.\$ If you need to solve for x, what's the first step?

a)

Subtract x from 8.

b)

Subtract 4 from 8.

c)

Subtract 8 from 4.

d)

Add x to 8.

32.

Which graph depicts the inequality, $x>8$ ?

a)

b)

c)

d)

33.

Solve the Inequality

25\ \ge\ n\ +13

a)

$12\ \ge n$

b)

$38\ \ge\ n$

c)

$14\ \le\ n$

d)

$12\ \le\ n$

34.

Solve the following Inequality.

3\ +\ v\ \le\ -9

a)

$v\ \le\ 6$

b)

$v\ \le\ -6$

c)

$v\ \le\ 4$

d)

$v\ \le\ -12$

35.

Solve the following Inequality.

x + 5 > 9

a)

x > 14

b)

x > 4

c)

x < 4

d)

X > 3

36.

Solve the following Inequality.

w\ -\ 5\ >\ 17

a)

$w\ >\ 22$

b)

$w\ <\ 22$

c)

$w\ >\ 12$

d)

$w\ >\ 3$

37.

Which numbers are possible solutions for the inequality numbered below? (Pick more than one answer)

a)

11

b)

13.5

c)

-12

d)

14

38.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x ≥ -4

c)

x < -4

d)

x < 4

39.

Solve the inequality.
30 + n ≥ 50

a)

x > 50

b)

x > 80

c)

x < 30

d)

x > 20

40.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

41.

Is x = 9 a solution to the given inequality.
x > 9

a)

TRUE

b)

FALSE

42.

Is x = 12 a given solution to the inequality.
x > 5

a)

TRUE

b)

FALSE

43.

x + 5 > 7

a)

x > -2

b)

x > 2

c)

x > 12

d)

x > -12

44.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

45.

4h < 8

a)

h < 32

b)

h < 2

c)

h < 4

d)

h > 2

46.

$y\ +\ 8\ \ge\ 9$

a)

$y\ \ge\ 1$

b)

$y\ \le\ 1$

c)

$y\ =\ 1$

47.

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

a)

$x\ =\ 8$

b)

$x\ <\ 8$

c)

$x\ \le\ 8$

48.

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

a)

$n\ \le\ 0$

b)

$n\ \ge\ 0$

c)

$n\ \ge\ 8$

d)

$n\ \le\ 8$

49.

A number x is at least -4

a)

$x<-4$

b)

$x>-4$

c)

$x\le-4$

d)

$x\ge-4$

50.

x is more than 0

a)

x > 0

b)

$x\ge0$

c)

$x<0$

d)

$x<0$

51.

x is fewer than 9

a)

$x\ <\ 9$

b)

$x\ >9$

c)

$x\le9$

d)

$x\ge9$

52.

x is less than -2

a)

$x\ >\ -2$

b)

$x\ge-2$

c)

$x\le-2$

d)

$x<-2$

53.

You must be no less than 16 to watch the movie. (use the variable x)

a)

$x\le16$

b)

$x\ge16$

c)

$x>16$

d)

$x<16$

54.

You have less than $50 to spend. (use the variable x)

a)

$x<50$

b)

$x\le50$

55.

You should have below 25 grams of sugar per day. (use the variable x)

a)

$x>25$

b)

$x\ge25$

c)

$x<25$

d)

$x\le25$

56.

There is a minimum charge of $15 to play mini-golf. (use the variable x)

a)

$x\ge15$

b)

$x>15$

c)

$x\le15$

d)

$x<15$

57.

You can invite up to and including 18 friends to your birthday party. (use the variable x)

a)

$x<18$

b)

$x\le18$

c)

$x\ge18$

d)

$x>18$

58.

Every night you must read no less than 10 pages of the book. (use the variable x)

a)

$x\le10$

b)

$x<10$

c)

$x>10$

d)

$x\ge10$

59.

Bella has less than 6 apples in her basket.

a)

a < 6

b)

a > 6

c)

a ≤ 6

d)

a ≥ 6

60.

Mary must read a minimum of 5 books over the summer for her English class.

a)

b < 5

b)

b > 5

c)

b ≤ 5

d)

b ≥ 5

61.

Bill will have, at most, 31 people at his party.

a)

p < 31

b)

p > 31

c)

p ≤ 31

d)

p ≥ 31

62.

A book of stamps at the local post office has less than 22 stamps in it.

a)

s < 22

b)

s > 22

c)

s ≤ 22

d)

s ≥ 22

63.

A purse costs at least $45 at the department store.

a)

d < 45

b)

d > 45

c)

d ≤ 45

d)

d ≥ 45

64.

The weather man said that no less than 4 inches of snow will fall this winter.

a)

i < 4

b)

i > 4

c)

i ≤ 4

d)

i ≥ 4

65.

The average customer at Donut Delight buys more than 2 donuts.

a)

d < 2

b)

d > 2

c)

d ≤ 2

d)

d ≥ 2

66.

Willow has to deal a maximum of 10 cards to each player for a certain card game.

a)

c < 10

b)

c > 10

c)

c ≤ 10

d)

c ≥ 10

67.

18 is not more than the number of pieces of candy Emily has.

a)

c < 18

b)

c > 18

c)

c ≤ 18

d)

c ≥ 18

68.

Silver costs at least $1,654 per ounce.

a)

d < 1654

b)

d > 1654

c)

d ≤ 1654

d)

d ≥ 1654

69.

What inequality does the number line graph represent?

a)

x > 5

b)

x < −5

c)

x ≥ 5

d)

x ≥ −5

70.

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

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

71.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

72.

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

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

73.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

74.

3 less than a number

a)

n − 3

b)

3 − n

c)

−3n − 3

d)

n + 3

75.

What are two numbers that could be x in x < 8?

a)

8.6, 7.9

b)

11, 16

c)

0.8, 5.9

d)

12, 7.1

76.

10 less than the product of a number and three

a)

10 − 4

b)

10 − 3y

c)

3y − 10

d)

3÷y − 10

77.

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

a)

Closed

b)

Open

78.

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

a)

<, >

b)

≤, ≥

79.

x is no more than 100

a)

x ≤ 100

b)

x ≥ 100

c)

x < 100

d)

x > 100

80.

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

a)

≤, ≥

b)

<, >

81.

Which graph matches the inequality
x < -2.8?

a)

A

b)

B

c)

C

d)

D

82.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

83.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

84.

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

a)

Open

b)

closed

85.

What inequality does the number line graph represent?

a)

x > 5

b)

x < −5

c)

x ≥ 5

d)

x ≥ −5

86.

Less than:

a)

≥

b)

≤

c)

<

d)

>

87.

Greater than or equal to:

a)

<

b)

≤

c)

≥

d)

>

88.

2 times the sum of y and 5

a)

62

b)

2(y+5)

c)

2(6y)

d)

2 ∗ y + 5

89.

Which of the following inequality statements represents this inequality?

a)

$x\ >\ 20$

b)

$x\ <\ 20$

c)

$x\ \ge\ 20$

d)

$x\ \le\ 20$

90.

Which of the following inequality statements represents this inequality?

a)

$x\ >\ 20$

b)

$x\ <\ 20$

c)

$x\ \ge\ 20$

d)

$x\ \le\ 20$

91.

Which of the following inequality statements represents this inequality?

a)

$x\ >\ 20$

b)

$x\ <\ 20$

c)

$x\ \ge\ 20$

d)

$x\ \le\ 20$

92.

Which of the following inequality statements represents this inequality?

a)

$x\ >\ 20$

b)

$x\ <\ 20$

c)

$x\ \ge\ 20$

d)

$x\ \le\ 20$

93.

Which of the following inequality statements represents this inequality?

a)

$x\ >\ 7$

b)

$x\ <\ 7$

c)

$x\ \ge\ 7$

d)

$x\ \le\ 7$

94.

Which of the following inequality statements represents this inequality?

a)

$x\ >\ 7$

b)

$x\ <\ 7$

c)

$x\ \ge\ 7$

d)

$x\ \le\ 7$

95.

Which of the following inequality statements represents this inequality?

a)

$x\ >\ 7$

b)

$x\ <\ 7$

c)

$x\ \ge\ 7$

d)

$x\ \le\ 7$

96.

Which of the following inequality statements represents this inequality?

a)

$x\ >\ 7$

b)

$x\ <\ 7$

c)

$x\ \ge\ 7$

d)

$x\ \le\ 7$

97.

Which of the following inequality statements represents this inequality?

a)

$x\ >\ 12$

b)

$x\ <\ 12$

c)

$x\ \ge\ 12$

d)

$x\ \le\ 12$

98.

Which of the following inequality statements represents this inequality?

a)

$x\ >\ 12$

b)

$x\ <\ 12$

c)

$x\ \ge\ 12$

d)

$x\ \le\ 12$

99.

Which of the following inequality statements represents this inequality?

a)

$x\ >\ 12$

b)

$x\ <\ 12$

c)

$x\ \ge\ 12$

d)

$x\ \le\ 12$

100.

Which of the following inequality statements represents this inequality?

a)

$x\ >\ 12$

b)

$x\ <\ 12$

c)

$x\ \ge\ 12$

d)

$x\ \le\ 12$

101.

Which of the following inequality statements represents this inequality?

a)

$x\ >\ 3$

b)

$x\ <\ 3$

c)

$x\ \ge\ 3$

d)

$x\ \le\ 3$

102.

Which of the following inequality statements represents this inequality?

a)

$x\ >\ 3$

b)

$x\ <\ 3$

c)

$x\ \ge\ 3$

d)

$x\ \le\ 3$

103.

Which of the following inequality statements represents this inequality?

a)

$x\ >\ 3$

b)

$x\ <\ 3$

c)

$x\ \ge\ 3$

d)

$x\ \le\ 3$

104.

Which of the following inequality statements represents this inequality?

a)

$x\ >\ 3$

b)

$x\ <\ 3$

c)

$x\ \ge\ 3$

d)

$x\ \le\ 3$

105.

Which of the following inequality statements represents this inequality?

a)

$x\ >\ -3$

b)

$x\ <\ -3$

c)

$x\ \ge\ -3$

d)

$x\ \le\ -3$

106.

Which of the following inequality statements represents this inequality?

a)

$x\ >\ -3$

b)

$x\ <\ -3$

c)

$x\ \ge\ -3$

d)

$x\ \le\ -3$

107.

Which of the following inequality statements represents this inequality?

a)

$x\ >\ -3$

b)

$x\ <\ -3$

c)

$x\ \ge\ -3$

d)

$x\ \le\ -3$

108.

Which of the following inequality statements represents this inequality?

a)

$x\ >\ -3$

b)

$x\ <\ -3$

c)

$x\ \ge\ -3$

d)

$x\ \le\ -3$

109.

a)

less than

b)

greater than

c)

less than or equal to

d)

greater than or equal to

110.

a)

less than

b)

greater than

c)

less than or equal to

d)

greater than or equal to

111.

To order from the kids menu a person must be no more than 12 years old.

a)

x > 12

b)

x < 12

c)

x ≥ 12

d)

x ≤ 12

112.

Write an inequality for this situation:
You must be at least 18 years old to join the military.

a)

x > 18

b)

x < 18

c)

x ≥ 18

d)

x ≤ 18

113.

Translate the word phrase:
The speed limit is 45 miles per hour.

a)

x > 45

b)

x < 45

c)

x ≤ 45

d)

x ≥ 45

114.

Translate the word phrase:
You need to be 52 inches tall to ride Steal Venom.

a)

x > 52

b)

x < 52

c)

x ≤ 52

d)

x ≥ 52

115.

Translate the word phrase:
You will need to sell at least 200 tickets for the dance.

a)

x > 200

b)

x < 200

c)

x ≤ 200

d)

x ≥ 200

116.

Translate the word phrase:
Sara has at most 5 pairs of shoes.

a)

x > 5

b)

x < 5

c)

x ≤ 5

d)

x ≥ 5

117.

Translate the word phrase:
The capacity of the elevator is 2000 pounds.

a)

x > 2000

b)

x < 2000

c)

x ≤ 2000

d)

x ≥ 2000

118.

Translate the word phrase:
Each person can have no more than 4 pieces of pizza.

a)

x > 4

b)

x < 4

c)

x ≤ 4

d)

x ≥ 4

119.

The maximum score on the pilot's test is 95 points.

a)

p < 95

b)

p > 95

c)

p ≥ 95

d)

p ≤ 95

120.

Which symbol means "less than"?

a)

<

b)

>

c)

<

d)

>

121.

Which symbol means "greater than"?

a)

<

b)

>

c)

<

d)

>

122.

you must be a minimum of 48 inches to ride the roller coaster.

a)

x > 48

b)

x < 48

c)

x ≤ 48

d)

x ≥ 48

Inequalities Review

Total questions: 122

Worksheet time: 4hrs 4mins

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