Solving Inequalities Worksheets

Represent bounds, solve inequalities and describe the correct number-line solution.

Before you begin

Use signed arithmetic, substitute values and read expressions with variables.

Worked example

Solve 7x + 4 > 67.

  1. Subtract 4 from both sides.
  2. Divide by 7.

Answer: x > 9

Check your result using the method in the example before moving to the next question.

Choose your level

  • Easy: Use positive integers and one-step relationships.
  • Medium: Use signed values or two steps.
  • Hard: Combine operations or reverse a relationship.

Questions and answer calculations checked on 2026-09-17. How we check worksheets. Free for personal and classroom use.

Preview and print an easy set

Try six questions below, or choose a full set at your level.

1
Solve 4x + 7 > 27.
2
Solve 2x + 5 ≤ 35.
3
Solve 6x + 1 > 97.
4
Solve 4x + 6 ≤ 58.
5
Solve 8x + 3 > 99.
6
Solve 8x + 4 ≤ 164.

Answer Key

1. x > 52. x ≤ 153. x > 164. x ≤ 135. x > 126. x ≤ 20

Full worksheet sets