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.
- Subtract 4 from both sides.
- 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