Year 9 Solving Linear Inequalities Worksheet — Level 1 — Practice Set 4 — 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 4 — Answers
Solve each inequality the same way you would solve an equation.
1.3x < −27
Answer: x < −9
- Divide both sides by 3 (positive, so the sign stays): x < −9
2.2x ≤ −6
Answer: x ≤ −3
- Divide both sides by 2 (positive, so the sign stays): x ≤ −3
3.x − 5 > −8
Answer: x > −3
- Add 5 on both sides: x > −8 + 5 = −3
4.x − 1 ≥ −1
Answer: x ≥ 0
- Add 1 on both sides: x ≥ −1 + 1 = 0
5.8x ≥ 80
Answer: x ≥ 10
- Divide both sides by 8 (positive, so the sign stays): x ≥ 10
6.9x < −54
Answer: x < −6
- Divide both sides by 9 (positive, so the sign stays): x < −6
7.9x ≤ −27
Answer: x ≤ −3
- Divide both sides by 9 (positive, so the sign stays): x ≤ −3
8.4x ≤ 16
Answer: x ≤ 4
- Divide both sides by 4 (positive, so the sign stays): x ≤ 4
9.x − 1 ≤ −1
Answer: x ≤ 0
- Add 1 on both sides: x ≤ −1 + 1 = 0
10.2x ≥ −16
Answer: x ≥ −8
- Divide both sides by 2 (positive, so the sign stays): x ≥ −8
11.2x ≤ 10
Answer: x ≤ 5
- Divide both sides by 2 (positive, so the sign stays): x ≤ 5
12.x + 6 > 5
Answer: x > −1
- Subtract 6 on both sides: x > 5 − 6 = −1
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.