Free Printable Inequality Practice

1.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

2.

What inequality does the number line graph represent?

a)

x ≤ -4

b)

x ≥ -4

c)

x < -4

d)

x < 4

3.

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

a)

Closed

b)

Open

4.

Match the graph with the inequality

a)

x≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ 3

5.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

6.

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

a)

Open

b)

closed

7.

Which graph matches the inequality
k < 3?

a)

A

b)

B

c)

C

d)

D

8.

Which graph matches the inequality

p < 2

a)

A

b)

B

c)

C

d)

D

9.

Which graph matches the inequality

n < -2

a)

A

b)

B

c)

C

d)

D

10.

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

11.

Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike.

a)

15h ≤ 105

b)

15h > 105

c)

15h < 105

d)

15h ≥ 105

12.

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

a)

2x < 3

b)

3x > - 9

c)

-4x ≥ 10

d)

5x ≤ 15

13.

Which is the solution to

-6a ≥ -36

a)

a ≥ 6

b)

-6 ≥ a

c)

a ≤ 6

d)

6 ≤ a

14.

The graph can be described by all of these inequalities except...

a)

x ≥ -2

b)

-2 ≥ x

c)

-2 ≤ x

15.

The graph can be described by all of these inequalities except...

a)

2 < x

b)

x < 2

c)

2 > x

16.

The graph can be described by all of the inequalities except...

a)

-3 < x

b)

-3 > x

c)

x > -3

17.

What is another way to write x > 6?

a)

x ≥ 6

b)

6 > x

c)

6 < x

d)

6 ≤ x

18.

What is another way to write 2 ≤ x?

a)

x ≥ 2

b)

2 < x

c)

x > 2

d)

2 ≤ x

19.

You are driving, and the maximum speed limit is 55.

a)

s < 55

b)

s > 55

c)

s ≤ 55

d)

s ≥ 55

20.

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

a)

x > 48

b)

x < 48

c)

x ≤ 48

d)

x ≥ 48

21.

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

22.

Twenty-two more than four times a number is less than 82.

a)

22 + 4n ≤ 82

b)

22 + 4n > 82

c)

82 + 22n ≥ 4

d)

22 + 4n < 82

23.

-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

24.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

25.

x + 5 > 7

a)

x > -2

b)

x > 2

c)

x > 12

d)

x > -12

26.

-4p < 36

a)

p > -9

b)

p < -9

c)

p > -144

d)

p < -144

27.

A number b is at least -16

a)

b ≥ -16

b)

b ≤ -16

c)

b = -16

d)

b > -16

28.

6 times a number x is at most 47

a)

6x > 47

b)

6x ≥ 47

c)

6x < 47

d)

6x ≤ 47

29.

Solve the inequality
x - 2 < 5

a)

x < 3

b)

x ≥ 7

c)

x < 7

d)

x ≤ 7

30.

Solve the inequality
12 ≥ 6w

a)

w > 2

b)

w < 2

c)

w ≥ 2

d)

w ≤ 2

31.

Does the sign need to flip when solving?

8y < -40

a)

YES

b)

NO

32.

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

33.

Less Than

a)

<

b)

>

c)

≤

d)

≥

34.

Greater than

a)

<

b)

>

c)

≤

d)

≥

35.

What inequality is graphed here?

a)

x ≤ -2

b)

x < -2

c)

x > -2

d)

x ≥ -2

36.

7 is less than a number.

a)

x > 7

b)

x < 7

c)

x ≤ 7

d)

x ≥ 7

37.

Does the sign need to flip when solving?
-2x ≥ 22

a)

YES

b)

NO

38.

Mike has at least $250 in his savings account.

a)

m < 250

b)

m > 250

c)

m ≤ 250

d)

m ≥ 250

39.

The band practice will be less than 45 minutes long on Friday.

a)

p < 45

b)

p > 45

c)

p ≤ 45

d)

p ≥ 45

40.

All items at Pat's Pasta cost more than $10.

a)

p < 10

b)

p > 10

c)

p ≤ 10

d)

p ≥ 10

41.

Which graph matches the inequality
2 > p?

a)

A

b)

B

c)

C

d)

D

42.

Which graph matches the inequality
-2 ≥ n?

a)

A

b)

B

c)

C

d)

D

43.

Which graph matches the inequality
r ≥ -6?

a)

A

b)

B

c)

C

d)

D

44.

Solve the inequality:

–2x > –10

a)

x > 5

b)

x < 5

c)

x > –5

d)

x < –5

45.

You must be older than 12 years old to ride the go-karts.

a)

a > 12

b)

a < 12

c)

a > 12

d)

a < 12

e)

a = 12

46.

You must be at least 16 years old to have a driver’s license.

a)

d > 16

b)

d < 16

c)

d > 16

d)

d < 16

e)

d = 16

47.

Your essay must be over 200 words.

a)

w > 200

b)

w < 200

c)

w > 200

d)

w < 200

e)

w = 200

48.

Find the solution to...
-48 < 12c

a)

c > -4

b)

-4 > c

c)

c < -4

d)

4 < c

49.

$\frac{k}{-2}<10$

a)

k < -5

b)

k > -5

c)

k < -20

d)

k > -20

50.

Select the inequality that will require "flipping" the symbol.

a)

x - 2 > -18

b)

x + 2 > -18

c)

2x > -18

d)

-2x > -18

Inequality Practice

Total questions: 50

Worksheet time: 50mins

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