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 + 9 > 19
Answer: x > 10
- Subtract 9 on both sides: x > 19 − 9 = 10
2.x − 5 < 5
Answer: x < 10
- Add 5 on both sides: x < 5 + 5 = 10
3.x + 7 ≤ 17
Answer: x ≤ 10
- Subtract 7 on both sides: x ≤ 17 − 7 = 10
4.2x > 14
Answer: x > 7
- Divide both sides by 2 (positive, so the sign stays): x > 7
5.x + 7 ≤ 13
Answer: x ≤ 6
- Subtract 7 on both sides: x ≤ 13 − 7 = 6
6.6x < 60
Answer: x < 10
- Divide both sides by 6 (positive, so the sign stays): x < 10
7.x − 6 < −1
Answer: x < 5
- Add 6 on both sides: x < −1 + 6 = 5
8.8x < 64
Answer: x < 8
- Divide both sides by 8 (positive, so the sign stays): x < 8
9.7x < −28
Answer: x < −4
- Divide both sides by 7 (positive, so the sign stays): x < −4
10.5x > −30
Answer: x > −6
- Divide both sides by 5 (positive, so the sign stays): x > −6
11.2x < −10
Answer: x < −5
- Divide both sides by 2 (positive, so the sign stays): x < −5
12.x + 3 ≤ 4
Answer: x ≤ 1
- Subtract 3 on both sides: x ≤ 4 − 3 = 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.