Free Printable Inequalities!

1.

Which value satisfies the inequality?

x > 7

a)

2

b)

5

c)

6

d)

8

2.

x fewer than 6

a)

x < 6

b)

x > 6

c)

x ≥ 6

d)

x ≤ 6

3.

x is no more than 13

a)

x < 13

b)

x > 13

c)

x ≥ 13

d)

x ≤ 13

4.

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

5.

What inequality does the number line graph represent?

a)

x > 5

b)

x < −5

c)

x ≥ 5

d)

x ≥ −5

6.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

7.

When you graph an inequality, you use 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.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

10.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

11.

What inequality does the number line graph represent?

a)

x ≤ -4

b)

x ≥ -4

c)

x < -4

d)

x < 4

12.

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

13.

What inequality does the number line graph represent?

a)

x≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ 3

14.

Which graph matches the inequality
k < 3?

a)

A

b)

B

c)

C

d)

D

15.

Which graph matches the inequality
2.5 ≤ x?

a)

A

b)

B

c)

C

d)

D

16.

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

a)

x > 48

b)

x < 48

c)

x ≤ 48

d)

x ≥ 48

17.

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

18.

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

19.

Match the following conditions with the correct inequality statements.

a)

x > 5

1.

You spent more than 5 hours on homework each night.

b)

x < 5

2.

You spent less than 5 hours on homework each night.

c)

x ≤ 5

3.

You spent 5 hours or less on homework each night.

d)

x ≥ 5

4.

You spent at least 5 hours on homework each night.

20.

Edith must read for a minimum of 20 minutes every night.

a)

x > 20

b)

x < 20

c)

x ≥ 20

d)

x ≤ 20

21.

The band practice will be less than 45 minutes long on Friday. Which inequality represents this situation?

a)

p < 45

b)

p > 45

c)

p ≤ 45

d)

p ≥ 45

22.

Match the following inequalities with their descriptions.

a)

i < 10

1.

Items cost less than $10

b)

i > 10

2.

Items cost more than $10

c)

i ≤ 10

3.

Items cost at most $10

d)

i ≥ 10

4.

Items cost at least $10

23.

A parent has to ride the bouncing frog ride with any child less than 36 inches tall. Which inequality represents this situation?

a)

c < 36

b)

c > 36

c)

c ≤ 36

d)

c ≥ 36

24.

Match the inequality clue word with the correct inequality symbol. IS LESS THAN

a)

$\le$

b)

$\ge$

c)

$<$

d)

$>$

25.

Match the inequality clue word with the correct inequality symbol. IS GREATER THAN

a)

$\le$

b)

$\ge$

c)

$<$

d)

$>$

26.

a)

A

b)

B

c)

C

d)

D

27.

a)

A

b)

B

c)

C

d)

D

28.

The inequality that matches the graph is (a)

Choose from the below words

x<3

x>3

x<3

x>3

29.

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

30.

Write the inequality:
You have to be 54 inches or taller to ride the American Eagle

a)

x > 54

b)

x < 54

c)

x ≥ 54

d)

x ≤ 54

31.

Write the inequality:
The Chicago Cubs have won more than 100 games.

a)

x > 100

b)

x < 100

c)

x ≥ 100

d)

x ≤ 100

32.

Match the following statements with their corresponding inequalities.

a)

x > 20

1.

There are more than 20 apples in the basket.

b)

x < 20

2.

There are fewer than 20 days left in October.

c)

x ≥ 20

3.

The temperature is at least 20 degrees.

d)

x ≤ 20

4.

The number of participants is at most 20.

33.

Write the inequality:
The speed limit on Rollins Road is 35 miles per hour.

a)

x > 35

b)

x < 35

c)

x ≥ 35

d)

x ≤ 35

34.

If you were to graph the inequality would the circle be open or closed?
x ≥ 15

a)

open

b)

closed

35.

If you were to graph the inequality x > 45, the circle would be (a) ?

Choose from the below words

open

closed

36.

If you were to graph the inequality would the arrow point to the left or right?
x < 17

a)

left

b)

right

37.

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

38.

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

a)

>

b)

<

c)

≥

d)

≤

39.

Is the statement true of false.
15 < -12

a)

True

b)

False

40.

Is the statement true of false.
-17 > -18

a)

True

b)

False

41.

Is the statement true of false.
-6 > -5

a)

True

b)

False

42.

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

43.

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

"Kelsey has at most 10 dollars"

a)

open circle

b)

closed circle

44.

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

45.

3 + k < 10

a)

6

b)

7

c)

8

46.

c - 2 > 7

a)

10

b)

9

c)

8

47.

4 - m $\ge$ 2

a)

2

b)

3

c)

4

48.

d + 3 $\le$ 8

a)

5

b)

6

c)

7

49.

35 < 5m, m = 7

a)

yes

b)

no

50.

a + 6 $\ge$ 9, a=5

a)

Yes

b)

No

51.

21 > 7y, y = 3

a)

Yes

b)

No

52.

8 - g > 5, g = 3

a)

Yes

b)

No

53.

The cost of a camera at different stores is shown in the table. Kayla doesn’t want to spend more than $400 on a camera. Use the inequality c < $400, where c represents the cost of a camera to determine which stores she could buy from.

a)

Camera Castle - Cost $389.50

b)

Digital Dreams - Cost $401.75

c)

Photo Palace - Cost $422.85

54.

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

55.

Solve the inequality.

a)

a > 4

b)

a > 2

c)

a > 6

d)

a < 6

56.

Match the following situations with their corresponding inequalities.

a)

x < 10000

1.

We need to make less than $10,000

b)

x > 10000

2.

We need to make more than $10,000

c)

x ≤ 10000

3.

We need to make at most $10,000

d)

x ≥ 10000

4.

We need to make at least $10,000

57.

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

58.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

59.

x + 5 > 7

a)

x > -2

b)

x > 2

c)

x > 12

d)

x > -12

60.

r - 14 ≥ 17

a)

r ≥ 3

b)

r ≥ -31

c)

r ≥ 31

d)

r ≥ -3

61.

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

a)

Open

b)

closed

62.

Does the given value make the inequality true? x + 9 > 21, when x = 15

a)

True

b)

Not True

63.

Solve

a)

z≤1

b)

z>9

c)

z≤9

d)

z<9

64.

$Solve:\ \ \ q-16\le30$

a)

$q\ge46$

b)

$q>46$

c)

$q\le46$

d)

$q<46$

Inequalities!

Total questions: 64

Worksheet time: 3hrs 4mins

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