wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Linear Inequalities Practice by Ms Fifi

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.

1. Solve the inequality: 3x - 5 < 10. What is the solution set?

a)

x = 5

b)

x ≤ 5

c)

x > 5

d)

x < 5

2.

2. If 2x + 4 > 12, what is the value of x?

a)

x > 2

b)

x < 4

c)

x > 4

d)

x = 4

3.

3. Solve for x: 5x + 3 ≤ 18. What is the range of x?

a)

x > 3

b)

x = 3

c)

x < 0

d)

x ≤ 3

4.

4. A number is less than 7. If the number is represented by x, write the inequality.

a)

x > 7

b)

x < 7

c)

x = 7

d)

x ≤ 7

5.

5. If x - 2 > 3, what is the smallest integer value of x?

a)

4

b)

6

c)

5

d)

7

6.

6. Solve the inequality: 4x + 1 ≥ 13. What is the solution?

a)

x = 4

b)

x ≤ 2

c)

x < 3

d)

x ≥ 3

7.

8. If 6 - 2x < 10, what is the solution for x?

a)

x ≤ -2

b)

x > -2

c)

x = 2

d)

x < -2

8.

9. Solve the inequality: -3x + 7 > 1. What is the solution set?

a)

x = 2

b)

x > 2

c)

x ≤ 2

d)

x < 2

9.

10. If 5x - 1 ≤ 9, what is the maximum value of x?

a)

1

b)

3

c)

4

d)

2

10.

11. A car travels at a speed of x miles per hour. If it must travel less than 60 miles in an hour, write the inequality.

a)

x > 60

b)

x ≤ 60

c)

x = 60

d)

x < 60

11.

12. Determine if the statement is true or false: The solution to x + 4 < 10 is x < 6.

a)

x < 4

b)

x > 6

c)

true

d)

x + 4 > 10

12.

13. True or False: The inequality 2x - 3 > 5 has a solution of x > 4.

a)

x = 5

b)

False

c)

x < 4

d)

True

13.

14. If x + 5 < 2, what is the solution for x?

a)

x = -5

b)

x > -3

c)

x < -3

d)

x ≤ -3

14.

15. A student needs to score more than 75% on a test. If the test is out of 100 points, write the inequality for the score needed.

a)

score >= 75

b)

score > 75

c)

score < 75

d)

score = 75

15.

8. If 8 - 3x < -16, What is the solution for x?

a)

x ≤ -8

b)

x > 8

c)

x = 8

d)

x < -8