Free Printable eLearning - Inequality Practice

Worksheets

eLearning - Inequality Practice

Total questions: 15

Worksheet time: 1hrs 7mins

Name

Class

Date

Solve the inequality.
x + 5 ≤ 13

x ≥ 8

x ≥ 18

x ≤ 8

x ≤ 18

Pick the correct inequality.

Which of the following inequalities would require you to flip the sign when solving?

2x < 3

3x > - 9

-4x ≥ 10

5x ≤ 15

Which is the solution to

-6a ≥ -36

a ≥ 6

-6 ≥ a

a ≤ 6

6 ≤ a

What inequality is graphed?

x > 2 and x < 4

2 ≤ x ≤ 4

x > 2 or x < 4

x ≥ 2 or x ≤ 4

What inequality is graphed?

x > 2 and x ≤ -3

x > 2 and x < -3

x > 2 or x ≤ -3

x > 2 or x < -3

Solve: -3 ≤ 2x - 1 ≤ 5

-1 ≤ x ≤ 3

-2 ≤ x ≤ 2

-1 ≥ x ≥ 3

1 ≤ x ≤ 3

Solve:

3x + 2 < -4 or 4x + 4 > 24

x < -2 or x > 5

x < -2/3 or x > 5

x < -2 and x > 5

x < -2/3 and x > 5

Your taxi fare is $2.50 per mile, plus a $5 fee. You cannot exceed $20. Which inequality models this scenario?

5x + 2.50 ≤ 20

2.50x + 5 ≥ 20

2.50x + 5 ≤ 20

7.50x < 20

10.

You take a trip to the bowling alley, where each game cost $2, plus you plan to spend $10 on food. You can spend at most $25. Which inequality models this scenario?

2x + 10 ≥ 25

2x + 10 > 20

2x + 10 ≤ 25

2x + 10 < 25

11.

Four times a number, increased by 6 is greater than 22. Which inequality models this scenario?

4x - 6 > 22

4x + 6 < 22

4x + 6 ≥ 22

4x + 6 > 22

12.

-3 − 6(4x + 6) > -111

x > 3

x < 3

x < -3

x > -3

13.

a − 6 ≤ 15 + 8a

a ≤ -3

a ≥ -3

a ≥ 1

a ≤ -1

14.

When you graph an inequality, you use a closed dot when you use which symbols?

≤, ≥

<, >

≤, <

≥, >

15.

When graphing an inequality, you use an open dot when you use which symbol?