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Worksheets

Inequality Practice

Total questions: 43

Worksheet time: 3hrs 33mins

Name
Class
Date
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.
The graph can be described by all of these inequalities except...
a)
x ≥ -2
b)
-2 ≥ x
c)
-2 ≤ x
13.
The graph can be described by all of these inequalities except...
a)
2 < x
b)
x < 2
c)
2 > x
14.
The graph can be described by all of the inequalities except...
a)
-3 < x
b)
-3 > x
c)
x > -3
15.
What is another way to write x > 6?
a)
x ≥ 6
b)
6 > x
c)
6 < x
d)
6 ≤ x
16.
What is another way to write 2 ≤ x?
a)
x ≥ 2
b)
2 < x
c)
x > 2
d)
2 ≤ x
17.

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

a)

s < 55

b)

s > 55

c)

s ≤ 55

d)

s ≥ 55

18.

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

a)

x > 48

b)

x < 48

c)

x ≤ 48

d)

x ≥ 48

19.
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
20.

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

21.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
22.
x + 5 > 7
a)
x > -2
b)
x > 2
c)
x > 12
d)
x > -12
23.

A number b is at least -16

a)

b ≥ -16

b)

b ≤ -16

c)

b = -16

d)

b > -16

24.
Solve the inequality
x - 2 < 5
a)
x < 3
b)
x ≥ 7
c)
x < 7
d)
x ≤ 7
25.
Solve the inequality
12 ≥ 6w
a)
w > 2
b)
w < 2
c)
w ≥ 2
d)
w ≤ 2
26.
Less Than
a)
<
b)
>
c)
≤
d)
≥
27.
Greater than
a)
<
b)
>
c)
≤
d)
≥
28.
What inequality is graphed here?
a)
x ≤ -2
b)
x < -2
c)
x > -2
d)
x ≥ -2
29.
7 is less than a number.
a)
x > 7
b)
x < 7
c)
x ≤ 7
d)
x ≥ 7
30.

Mike has at least $250 in his savings account.

a)

m < 250

b)

m > 250

c)

m ≤ 250

d)

m ≥ 250

31.

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

a)

p < 45

b)

p > 45

c)

p ≤ 45

d)

p ≥ 45

32.

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

a)

p < 10

b)

p > 10

c)

p ≤ 10

d)

p ≥ 10

33.
Which graph matches the inequality
2 > p?
a)
A
b)
B
c)
C
d)
D
34.
Which graph matches the inequality
-2 ≥ n?
a)
A
b)
B
c)
C
d)
D
35.
Which graph matches the inequality
r ≥ -6?
a)
A
b)
B
c)
C
d)
D
36.

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

37.

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

38.

Your essay must be over 200 words.

a)

w > 200

b)

w < 200

c)

w > 200

d)

w < 200

e)

w = 200

39.
Is the statement true of false.
15 < -12
a)
True
b)
False
40.
Which inequality symbol represents the statement.
Greater Than or Equal To
a)
>
b)
≤
c)
≥
d)
<
41.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
42.
what does the number line show
a)
x = 3
b)
x > 3
c)
x < 3
d)
 x > 6
43.

Which graph matches the inequality

k < 3?

a)

A

b)

B

c)

C

d)

D