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Worksheets

Mastering One-Step Inequalities

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

Solve: 3x + 5 < 14. What is x?

a)

x < 0

b)

x < 3

c)

x = 3

d)

x > 3

2.

Graph the solution for x - 2 > 3.

a)

x < 5

b)

x > 5

c)

x < 3

d)

x = 5

3.

Identify the inequality symbol: x + 4 ≤ 10.

a)

<

b)

c)

=

d)

4.

Translate to an inequality: A number decreased by 7 is less than 5.

a)

x - 7 < 5

b)

7 - x < 5

c)

x + 7 < 5

d)

x - 7 > 5

5.

Combine like terms: 2x + 3x < 10. What is x?

a)

x > 2

b)

x < 2

c)

x < 0

d)

x = 5

6.

Solve: -2x > 6. What is x?

a)

x > 3

b)

x = -3

c)

x < 0

d)

x < -3

7.

Graph the solution for 5 - x ≤ 1.

a)

x = 4

b)

x ≥ 4

c)

x ≤ 4

d)

x < 4

8.

Identify the inequality symbol: 4x > 12.

a)

!=

b)

<=

c)

<

d)

>

9.

Translate to an inequality: The sum of a number and 8 is at least 12.

a)

x + 8 = 12

b)

x + 8 < 12

c)

x - 8 >= 12

d)

x + 8 >= 12

10.

Combine like terms: 3y - 2y > 4. What is y?

a)

y < 4

b)

y = 4

c)

y ≤ 4

d)

y > 4

11.

Solve: 7 - 3x < 1. What is x?

a)

x < 2

b)

x = 2

c)

x < 0

d)

x > 2

12.

Graph the solution for 2x + 1 ≥ 5.

a)

x ≤ 2

b)

x < 2

c)

x > 2

d)

x ≥ 2

13.

Identify the inequality symbol: 9 ≤ x + 3.

a)

=

b)

<

c)

d)

14.

Translate to an inequality: A number multiplied by 4 is less than 20.

a)

x < 5

b)

4x > 20

c)

4x < 20

d)

4x = 20

15.

Combine like terms: 5a + 2a < 21. What is a?

a)

a < 0

b)

a = 3

c)

a > 3

d)

a < 3

16.

Solve: -4 + 2x ≤ 10. What is x?

a)

x < 10

b)

x = 8

c)

x ≤ 7

d)

x ≥ 5

17.

Graph the solution for x/3 > 2.

a)

x < 2

b)

x = 6

c)

x > 6

d)

x < 6

18.

Identify the inequality symbol: x - 5 > 0.

a)

<=

b)

!=

c)

>

d)

<

19.

Translate to an inequality: The difference between a number and 6 is at most 2.

a)

x - 6 > 2

b)

x - 6 < 2

c)

|x - 6| ≥ 2

d)

|x - 6| ≤ 2

20.

Combine like terms: 6b - 4b ≥ 8. What is b?

a)

b ≤ 4

b)

b ≥ 4

c)

b = 8

d)

b < 4