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.
1.5x ≤ 20
Answer: x ≤ 4
- Divide both sides by 5 (positive, so the sign stays): x ≤ 4
2.6x < 72
Answer: x < 12
- Divide both sides by 6 (positive, so the sign stays): x < 12
3.x − 2 > 10
Answer: x > 12
- Add 2 on both sides: x > 10 + 2 = 12
4.x − 4 < −5
Answer: x < −1
- Add 4 on both sides: x < −5 + 4 = −1
5.6x > 60
Answer: x > 10
- Divide both sides by 6 (positive, so the sign stays): x > 10
6.6x ≥ −54
Answer: x ≥ −9
- Divide both sides by 6 (positive, so the sign stays): x ≥ −9
7.4x ≥ 0
Answer: x ≥ 0
- Divide both sides by 4 (positive, so the sign stays): x ≥ 0
8.x − 2 ≥ 7
Answer: x ≥ 9
- Add 2 on both sides: x ≥ 7 + 2 = 9
9.x + 4 < 13
Answer: x < 9
- Subtract 4 on both sides: x < 13 − 4 = 9
10.x + 1 > 6
Answer: x > 5
- Subtract 1 on both sides: x > 6 − 1 = 5
11.9x < −81
Answer: x < −9
- Divide both sides by 9 (positive, so the sign stays): x < −9
12.3x > −12
Answer: x > −4
- Divide both sides by 3 (positive, so the sign stays): x > −4
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.