Free Printable Inequalities Study Guide

1.

more than

a)

<

b)

>

c)

≤

d)

≥

2.

What is this symbol?

a)

less than

b)

greater than

c)

less than or equal to

d)

greater than or equal to

3.

Fewer Than

a)

<

b)

>

c)

≤

d)

≥

4.

No More Than

a)

<

b)

>

c)

≤

d)

≥

5.

Which of these means that x is greater than or equal to 12

a)

x ≥ 12

b)

x > 12

c)

x ≠ 12

d)

x ≥ 15

6.

What symbol could go in the box to make a true statement?
9 ___ -9

a)

>

b)

<

c)

≥

d)

≤

7.

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

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

8.

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

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

9.

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

10.

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

11.

To qualify for an award, a student volunteers no less than 5 hours each week at the local hospital. Write an inequality that represents how many hours the student volunteers each week.

a)

X < 5

b)

X > 5

c)

X ≥ 5

d)

X ≤ 5

12.

What inequality does the number line graph represent?

a)

x ≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ 3

13.

Which graph represents the inequality 6 > x

a)

A

b)

B

c)

C

d)

D

14.

Do I need to flip my sign?
3x ≥ 12

a)

Yes

b)

No

15.

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

a)

Open

b)

closed

16.

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

17.

x + 5 > 7

a)

x > -2

b)

x > 2

c)

x > 12

d)

x > -12

18.

7n > 49

a)

n > 7

b)

n < 7

c)

n > 343

d)

n < 343

19.

Do I need to flip my sign?
-3x ≥ 12

a)

Yes

b)

No

20.

Decide if the inequality is open circle or closed circle: 4x > 16

a)

Open Circle

b)

Closed Circle

c)

Flip the sign

d)

I don't know

21.

-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

22.

2x > 12

a)

x > 6

b)

x < 6

c)

x ≥ 6

d)

x ≤ 6

23.

Simplify the inequality:

a)

-7n > -7

b)

-9n > -7

c)

-8n > n - 7

d)

Already simplified

24.

The solution is:

a)

n > -7

b)

n < 0

c)

n > 7

d)

n < 1

25.

Simplify the inequality:

a)

6x - 10 > -42

b)

6x - 4 > -42

c)

6x - 60 > -42

d)

Already simplified

26.

The solution is:

a)

x < -1

b)

x > 5

c)

x > -2

d)

x > 3

27.

The graph of the solution is:

a)

b)

c)

d)

28.

-2(x+2) < 14

a)

x < - 5

b)

x > -5

c)

x < -9

d)

x > -9

29.

Solve for k.

7k – 2 ≥ -9

a)

k ≤ -1

b)

k≤1

c)

k≥1

d)

k ≥ -1

30.

-3x − 4 < 5

a)

x > -3

b)

x < -3

c)

x < (1 ⁄ 3)

d)

x > (1 ⁄ 3)

31.

What inequality does the number line graph represent?

a)

x ≥ 3

b)

x < -3

c)

x > 3

d)

x ≤ -3

32.

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

a)

Open

b)

Closed

33.

Will my circle be colored in?

5 ≥ x

a)

No

b)

Yes

34.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

35.

What inequality does the number line graph represent?

a)

x > 5

b)

x ≥ 5

c)

x < −5

d)

x ≥ −5

36.

Match the graph with its inequality.

a)

a > 11

b)

a ≥ 11

c)

a < 11

d)

a ≤ 11

37.

Which graph matches the inequality r ≥ -6?

a)

A

b)

B

c)

C

d)

D

38.

Which graph matches the inequality x ≥ 2.5?

a)

A

b)

B

c)

C

d)

D

39.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

40.

Which inequality represents the following statement: Tucson is no less than 100 miles from Phoenix.

a)

x > 100

b)

x < 100

c)

x ≥ 100

d)

x ≤ 100

41.

What is the correct way to read the following inequality:

7 ≥ x

a)

x is greater than 7

b)

x is less than 7

c)

x is greater than or equal to 7

d)

x is less than or equal to 7

42.

Which inequality represents the following statement: I can have no more than 10 pieces of candy.

a)

x ≥ 10

b)

x ≤ 10

c)

x > 10

d)

x < 10

43.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x < -4

c)

x ≥ -4

d)

x < 4

44.

Which graph matches the inequality -0.2 ≤ x?

a)

A

b)

B

c)

C

d)

D

45.

Which graph matches the inequality ½ ≤ a?

a)

A

b)

B

c)

C

d)

D

46.

When graphing an inequality, what does a closed circle mean?

a)

The number is not included in the list of answers.

b)

The number is included in the list of answers.

47.

a)

t < 15

b)

t > 15

c)

t is less than or equal to 15

d)

t is greater than or equal to 15

48.

What inequality does the number line graph represent?

a)

x ≤ 4

b)

x < -4

c)

x ≥ -4

d)

x < 4

49.

Which represents the word sentence as an inequality?

A number w is smaller than 5.

a)

w < 5

b)

w ≤ 5

c)

w > 5

d)

w ≥ 5

50.

x is no more than 13.

a)

x < 13

b)

x ≥ 13

c)

x > 13

d)

x ≤ 13

51.

What inequality does the number line graph represent?

a)

x > 4

b)

x < 4

c)

x > -4

d)

x >= -4

52.

Solve:
x + 5 > 10

a)

x < 15

b)

x < 5

c)

x > 15

d)

x > 5

53.

What inequality does the number line graph represent?

a)

x≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ 3

54.

Which graph matches the inequality
½ ≤ a?

a)

A

b)

B

c)

C

d)

D

55.

Which graph matches the inequality
r ≥ -6?

a)

A

b)

B

c)

C

d)

D

56.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

57.

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

a)

Open

b)

closed

58.

What inequality does the number line graph represent?

a)

x ≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ -3

59.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

60.

-7 + 10z > -27

a)

z < -2

b)

z > -34

c)

2 > z

d)

z > -2

61.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

62.

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

a)

≤, ≥

b)

<, >

63.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

64.

Which inequality matches the graph?

a)

x<3

b)

x>3

c)

x<3

d)

x>3

65.

x is no more than 13

a)

x < 13

b)

x > 13

c)

x ≥ 13

d)

x ≤ 13

66.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

67.

a)

x is less than or equal to -2

b)

x < -2

c)

-2 < x

d)

x is greater than -2

68.

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

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

69.

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

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

70.

more than

a)

<

b)

>

c)

≤

d)

≥

71.

Less Than

a)

<

b)

>

c)

≤

d)

≥

72.

maximum

a)

<

b)

>

c)

≤

d)

≥

73.

minimum

a)

<

b)

>

c)

≤

d)

≥

74.

a)

x is less than or equal to -2

b)

x < -2

c)

-2 < x

d)

x is greater than -2

75.

a)

x > 1

b)

1 ≥ x

c)

x is greater than or equal to 1

d)

x is less than or equal to 1

76.

a)

x > 1

b)

1 ≥ x

c)

x is greater than or equal to 1

d)

x is less than or equal to 1

77.

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

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

78.

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

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

79.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

80.

Solve the inequality:
8x ≤ 32

a)

x ≤ 4

b)

x ≤ 40

c)

x ≤ 5

81.

4h < 8

a)

h < 32

b)

h < 2

c)

h < 4

d)

h > 2

82.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

83.

Solve the inequality:
x + 7 < 9

a)

x < 2

b)

x < 16

c)

x < 63

d)

x < - 2

84.

Solve the inequality:
x ÷ 7 > 5

a)

x > 12

b)

x > 2

c)

x > 35

d)

x < -9

85.

Solve the inequality:
x - 10 ≥ 5

a)

x ≥ 2

b)

x ≥ 15

c)

x ≥ 5

86.

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

87.

x is no more than 13

a)

x < 13

b)

x > 13

c)

x ≥ 13

d)

x ≤ 13

88.

Which inequality matches the graph?

a)

x<3

b)

x>3

c)

x<3

d)

x>3

89.

Which scenario could be represented by the graph?

a)

The temperature is less than -1 degree.

b)

The temperature is more than -1 degree.

c)

The temperature is at most -1 degree.

d)

The temperature is at least -1 degree.

90.

Which inequality matches the graph?

a)

x>-2

b)

x<-2

c)

x>-2

d)

x<-2

91.

You must spend at least $10 at the grocery store to get a free reusable shopping bag. Which inequality represents the amount you need to spend to get a free shopping bag?

a)

x<10

b)

x>10

c)

x>10

d)

x<10

92.

Mr. Gomez gets a notice from the bank when the amount in his checking account drops below $20. Which inequality represents when Mr. Gomez will receive a notice from the bank?

a)

x<20

b)

x>20

c)

x>20

d)

x<20

93.

Antavius must score at least 4 more points in the game this weekend than he did in the last game to be the top scorer for his team. In the last game he scored 13 points. Which inequality represents what Antavius must score, s, to be the team's top scorer?

a)

s>4

b)

s>13

c)

s>17

94.

Andy runs the same number of miles, x, every day. His total distance run for one week is less than 60 miles. Which inequality represents how many miles Andy runs each day?

a)

7 + x > 60

b)

7 + x < 60

c)

7x>60

d)

7x<60

95.

When the following inequality is graphed, what will it look like?

y>-1

a)

open circle

b)

closed circle

96.

When the following inequality is graphed, what will it look like?

z < - ¹/₂

a)

open circle

b)

closed circle

97.

When the following inequality is graphed, what will it look like?

z < - ¹/₂

a)

open circle

b)

closed circle

98.

When the following inequality is graphed, what will it look like?

y<5

a)

open circle

b)

closed circle

99.

When the following inequality is graphed, what will it look like?

r < -12.97

a)

open circle

b)

closed circle

100.

When the following inequality is graphed, what will it look like?

2 > f

a)

open circle

b)

closed circle

101.

When the following inequality is graphed, what will it look like?

r < -12.97

a)

open circle

b)

closed circle

102.

When the following inequality is graphed, what will it look like?

5.0825 < c

a)

open circle

b)

closed circle

103.

When the following inequality is graphed, what will it look like?

"Kelsey has at most 10 dollars"

a)

open circle

b)

closed circle

104.

When the following inequality is graphed, what will it look like?

"Alex will spend less than 35 minutes playing video games"

a)

open circle

b)

closed circle

105.

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

a)

x > 48

b)

x < 48

c)

x ≤ 48

d)

x ≥ 48

106.

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

107.

You and your friends ate more than 8 slices of pizza at the party.

a)

x > 8

b)

x < 8

c)

x ≤ 8

d)

x ≥ 8

108.

You spent less than 5 hours on homework each night.

a)

x > 5

b)

x < 5

c)

x ≤ 5

d)

x ≥ 5

109.

If m > 17, which is a possible value for m?

a)

12

b)

10

c)

23

d)

7

Inequalities Study Guide

Total questions: 109

Worksheet time: 27hrs 15mins

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