Year 8 Solving Linear Inequalities Worksheet — Level 1 — Practice Set 4 — 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 4 — Answers
Solve each inequality the same way you would solve an equation.
1.x + 5 < 13
Answer: x < 8
- Subtract 5 on both sides: x < 13 − 5 = 8
2.x − 9 < −2
Answer: x < 7
- Add 9 on both sides: x < −2 + 9 = 7
3.8x > −8
Answer: x > −1
- Divide both sides by 8 (positive, so the sign stays): x > −1
4.6x < 6
Answer: x < 1
- Divide both sides by 6 (positive, so the sign stays): x < 1
5.x − 4 ≥ −8
Answer: x ≥ −4
- Add 4 on both sides: x ≥ −8 + 4 = −4
6.7x ≤ 0
Answer: x ≤ 0
- Divide both sides by 7 (positive, so the sign stays): x ≤ 0
7.x − 8 > −3
Answer: x > 5
- Add 8 on both sides: x > −3 + 8 = 5
8.4x ≤ −32
Answer: x ≤ −8
- Divide both sides by 4 (positive, so the sign stays): x ≤ −8
9.7x ≤ 70
Answer: x ≤ 10
- Divide both sides by 7 (positive, so the sign stays): x ≤ 10
10.5x ≥ 50
Answer: x ≥ 10
- Divide both sides by 5 (positive, so the sign stays): x ≥ 10
11.7x ≥ −49
Answer: x ≥ −7
- Divide both sides by 7 (positive, so the sign stays): x ≥ −7
12.x − 7 > −12
Answer: x > −5
- Add 7 on both sides: x > −12 + 7 = −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.