Year 9 Solving Linear Inequalities Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the Year 9 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Linear EquationsYear 9 Solving Linear Inequalities Worksheet — Level 1 — Answers
Solve each inequality the same way you would solve an equation.
1.8x ≤ 48
Answer: x ≤ 6
- Divide both sides by 8 (positive, so the sign stays): x ≤ 6
2.9x ≥ −54
Answer: x ≥ −6
- Divide both sides by 9 (positive, so the sign stays): x ≥ −6
3.2x ≥ 16
Answer: x ≥ 8
- Divide both sides by 2 (positive, so the sign stays): x ≥ 8
4.x + 2 > 13
Answer: x > 11
- Subtract 2 on both sides: x > 13 − 2 = 11
5.9x ≥ 81
Answer: x ≥ 9
- Divide both sides by 9 (positive, so the sign stays): x ≥ 9
6.x + 9 < 14
Answer: x < 5
- Subtract 9 on both sides: x < 14 − 9 = 5
7.5x ≤ 30
Answer: x ≤ 6
- Divide both sides by 5 (positive, so the sign stays): x ≤ 6
8.5x < −15
Answer: x < −3
- Divide both sides by 5 (positive, so the sign stays): x < −3
9.5x ≥ 10
Answer: x ≥ 2
- Divide both sides by 5 (positive, so the sign stays): x ≥ 2
10.x + 6 < 13
Answer: x < 7
- Subtract 6 on both sides: x < 13 − 6 = 7
11.x − 5 ≤ −8
Answer: x ≤ −3
- Add 5 on both sides: x ≤ −8 + 5 = −3
12.7x < −35
Answer: x < −5
- Divide both sides by 7 (positive, so the sign stays): x < −5
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.