wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

LINEAR INEQUALITY ONE VARIABLE

Total questions: 13

Worksheet time: 1hrs 20mins

Name
Class
Date
1.

Which of the following is a linear inequality in two variables?

a)

4x − 5 > 9

b)

x + 4y = 7

c)

2x − 3y ≥ 10

d)

6 + 7y < 11

2.

Which of the following situation DOES NOT illustrate x + y ≤ 7?

a)

The sum of two numbers is not greater than seven.

b)

The sum of two numbers is less than seven.

c)

The sum of two numbers is not more than seven.

d)

The sum of two numbers is at most seven.

3.
Which inequality is represented by the words " no more than" or "at most"?
a)
<
b)
>
c)
d)
4.

Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike?

a)

15h ≤ 105

b)

15h > 105

c)

15h < 105

d)

15h ≥ 105

5.

Match this number line

to its correct solution.

a)

x > 2

b)

x > 2

c)

x < 2

d)

x < 2

6.

Solve the linear inequality.

a)

x < 0

b)

x > 0

c)

x < 3

d)

x > 3

7.

Solve the linear inequality.

a)

x < 5

b)

x > 5

c)

x < 5

d)

x > 5

8.

Match this number line

to its correct solution.

a)

x > 1

b)

x > 1

c)

x < 1

d)

x < 1

9.

Match this number line

to its correct solution.

a)

x > -2

b)

x > -2

c)

x < -2

d)

x < -2

10.
Which inequality is represented by the words " at least"?
a)
<
b)
>
c)
d)
11.

Jo needs to collect at least 1,000 signatures for a petition. He has 520 and wants to collect the same number each week. He has 6 more weeks. Which inequality represents this situation?

a)

520x+61000520x+6\le1000  

b)

520+6x1000520+6x\ge1000  

c)

520x+61000520x+6\ge1000  

d)

520+6x1000520+6x\le1000  

12.
You must be no more than 62 inches tall to play on the playground. Which inequality represents the heights of kids allowed to play? 
a)
k ≤ 62
b)
k > 62
c)
k < 62
d)
k ≥ 62
13.
Write an inequality:
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