Year 8 Solving Linear Inequalities Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 8 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Linear EquationsYear 8 Solving Linear Inequalities Worksheet — Level 1 — Practice Set 2 — Answers
Solve each inequality the same way you would solve an equation.
1.x − 2 ≥ −10
Answer: x ≥ −8
- Add 2 on both sides: x ≥ −10 + 2 = −8
2.3x ≥ −21
Answer: x ≥ −7
- Divide both sides by 3 (positive, so the sign stays): x ≥ −7
3.7x ≤ −35
Answer: x ≤ −5
- Divide both sides by 7 (positive, so the sign stays): x ≤ −5
4.8x > −24
Answer: x > −3
- Divide both sides by 8 (positive, so the sign stays): x > −3
5.x + 2 ≤ −2
Answer: x ≤ −4
- Subtract 2 on both sides: x ≤ −2 − 2 = −4
6.x + 2 < 4
Answer: x < 2
- Subtract 2 on both sides: x < 4 − 2 = 2
7.x − 1 < −10
Answer: x < −9
- Add 1 on both sides: x < −10 + 1 = −9
8.2x ≤ 8
Answer: x ≤ 4
- Divide both sides by 2 (positive, so the sign stays): x ≤ 4
9.6x > 36
Answer: x > 6
- Divide both sides by 6 (positive, so the sign stays): x > 6
10.x + 3 > 9
Answer: x > 6
- Subtract 3 on both sides: x > 9 − 3 = 6
11.6x ≥ −12
Answer: x ≥ −2
- Divide both sides by 6 (positive, so the sign stays): x ≥ −2
12.8x ≥ −48
Answer: x ≥ −6
- Divide both sides by 8 (positive, so the sign stays): x ≥ −6
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.