wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Inequalities

Total questions: 16

Worksheet time: 32mins

Name
Class
Date
1.

Match the inequality statement to the appropriate graph.

x>6.5x>6.5  

a)
b)
c)
d)
e)
2.

Match the inequality statement to the appropriate graph.

12x-\frac{1}{2}\ge x  

a)
b)
c)
d)
e)
3.

Match the inequality statement to the appropriate graph.

6.5>x6.5>x  

a)
b)
c)
d)
e)
4.

Evaluate whether the value makes a true or false statement.

k+619k+6\ge19   if k=11k=11  

a)

This is a true statement.

b)

This is a false statement.

5.

Evaluate whether the value makes a true or false statement.

16<b+816<b+8   if b=22b=22  

a)

This is a true statement.

b)

This is a false statement.

6.

Solve the inequality below. Type the answer without any spaces.

x2>10-\frac{x}{2}>10  

(a)  

7.

Solve the inequality below. Type the answer without any spaces.

x12>12x-12>12  

(a)  

8.

Marvin wants to purchase a hockey ticket for $150.25. He has $75.50 saved so far. Write an inequality to find the minimum amount he must earn to buy the ticket. Let x represent the amount of money Marvin needs to save.

For the \ge  use >=. Do not use dollar signs. Do not put any spaces in your answer.

(a)  

9.
A chef has 7 pounds of potatoes.  She needs more than 14 pounds for dinner.  What inequality describes the amount of potatoes the chef needs to buy?
a)
x - 7 > 14
b)
x + 7 > 14
c)
x - 7 < 14
d)
x + 7 < 14
10.
Does the sign need to flip when solving?
8y < (-40)
a)
YES
b)
NO
11.
Does the sign need to flip when solving?
8y < (-40)
a)
YES
b)
NO
12.

Level 1

When do we switch the inequality symbol?

a)

when multiplying or dividing by a NEGATIVE

b)

when adding and subtracting a NEGATIVE

c)

we never switch the inequality

d)

When there is a negative in the problem

13.

Level 3

What are two solutions to x < 8?

a)

8.6, 7.9

b)

11, 16

c)

0.8, 5.9

d)

12, 7.1

14.

Level 3

Solve the inequality.

a)

x ≤ 6

b)

x ≥ 6

c)

x ≤ -6

d)

x ≥ -6

15.

Level 3.

Solve the inequality. Graph the solution.

y+5 ≥ 2

a)
b)
c)
d)
16.

Level 3

Which number line shows the solution set to the inequality below?

x - 3 > -3

a)

A

b)

B

c)

C

d)

D