Year 9 Solving Linear Inequalities Worksheet — Level 1 — Practice Set 3 — 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 — Practice Set 3 — Answers
Solve each inequality the same way you would solve an equation.
1.4x > −24
Answer: x > −6
- Divide both sides by 4 (positive, so the sign stays): x > −6
2.8x ≥ −72
Answer: x ≥ −9
- Divide both sides by 8 (positive, so the sign stays): x ≥ −9
3.2x ≤ 2
Answer: x ≤ 1
- Divide both sides by 2 (positive, so the sign stays): x ≤ 1
4.x − 7 ≤ −10
Answer: x ≤ −3
- Add 7 on both sides: x ≤ −10 + 7 = −3
5.2x ≤ 16
Answer: x ≤ 8
- Divide both sides by 2 (positive, so the sign stays): x ≤ 8
6.x − 1 < 1
Answer: x < 2
- Add 1 on both sides: x < 1 + 1 = 2
7.x − 8 > −11
Answer: x > −3
- Add 8 on both sides: x > −11 + 8 = −3
8.x − 5 > −9
Answer: x > −4
- Add 5 on both sides: x > −9 + 5 = −4
9.8x > 40
Answer: x > 5
- Divide both sides by 8 (positive, so the sign stays): x > 5
10.2x < 6
Answer: x < 3
- Divide both sides by 2 (positive, so the sign stays): x < 3
11.x + 2 ≥ 13
Answer: x ≥ 11
- Subtract 2 on both sides: x ≥ 13 − 2 = 11
12.8x < −40
Answer: x < −5
- Divide both sides by 8 (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.