Grade 7medium

Solving One-Step Inequalities Practice

Practice solving one-step inequalities using inverse operations. Remember: when multiplying or dividing by a negative number, flip the inequality sign.

All 20 Practice Problems

Every question in this set. Solve them on paper, or use the interactive tool above for instant feedback and hints.

1.x + 5 > 12. Solve for x.
2.x - 3 < 8. Solve for x.
3.2x ≥ 14. Solve for x.
4.x/4 ≤ 5. Solve for x.
5.x + 9 < 15. Solve for x.
6.x - 7 ≥ 10. Solve for x.
7.3x > 21. Solve for x.
8.x/5 < 6. Solve for x.
9.x + 12 ≤ 20. Solve for x.
10.x - 4 > 11. Solve for x.
11.5x ≥ 35. Solve for x.
12.x/3 ≤ 9. Solve for x.
13.x + 8 > 8. Solve for x.
14.x - 15 < 5. Solve for x.
15.4x > 28. Solve for x.
16.x/6 ≥ 4. Solve for x.
17.x + 20 ≤ 35. Solve for x.
18.x - 9 ≥ 0. Solve for x.
19.6x < 42. Solve for x.
20.x/2 > 10. Solve for x.

Show answer key

1.x + 5 > 12. Solve for x. Answer: x > 7
2.x - 3 < 8. Solve for x. Answer: x < 11
3.2x ≥ 14. Solve for x. Answer: x ≥ 7
4.x/4 ≤ 5. Solve for x. Answer: x ≤ 20
5.x + 9 < 15. Solve for x. Answer: x < 6
6.x - 7 ≥ 10. Solve for x. Answer: x ≥ 17
7.3x > 21. Solve for x. Answer: x > 7
8.x/5 < 6. Solve for x. Answer: x < 30
9.x + 12 ≤ 20. Solve for x. Answer: x ≤ 8
10.x - 4 > 11. Solve for x. Answer: x > 15
11.5x ≥ 35. Solve for x. Answer: x ≥ 7
12.x/3 ≤ 9. Solve for x. Answer: x ≤ 27
13.x + 8 > 8. Solve for x. Answer: x > 0
14.x - 15 < 5. Solve for x. Answer: x < 20
15.4x > 28. Solve for x. Answer: x > 7
16.x/6 ≥ 4. Solve for x. Answer: x ≥ 24
17.x + 20 ≤ 35. Solve for x. Answer: x ≤ 15
18.x - 9 ≥ 0. Solve for x. Answer: x ≥ 9
19.6x < 42. Solve for x. Answer: x < 7
20.x/2 > 10. Solve for x. Answer: x > 20

About This Practice

This practice set includes 20 inequality problems. Solving inequalities is foundational for expressing ranges of solutions in algebra and real-world constraints.

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