Year 8 Solving Linear Inequalities Worksheet — Level 1 — 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 — Answers
Solve each inequality the same way you would solve an equation.
1.6x ≥ 42
Answer: x ≥ 7
- Divide both sides by 6 (positive, so the sign stays): x ≥ 7
2.x + 4 > −4
Answer: x > −8
- Subtract 4 on both sides: x > −4 − 4 = −8
3.x + 8 > 18
Answer: x > 10
- Subtract 8 on both sides: x > 18 − 8 = 10
4.9x ≥ 72
Answer: x ≥ 8
- Divide both sides by 9 (positive, so the sign stays): x ≥ 8
5.5x > 40
Answer: x > 8
- Divide both sides by 5 (positive, so the sign stays): x > 8
6.9x ≤ −36
Answer: x ≤ −4
- Divide both sides by 9 (positive, so the sign stays): x ≤ −4
7.4x > 44
Answer: x > 11
- Divide both sides by 4 (positive, so the sign stays): x > 11
8.x + 7 ≥ 9
Answer: x ≥ 2
- Subtract 7 on both sides: x ≥ 9 − 7 = 2
9.2x < 18
Answer: x < 9
- Divide both sides by 2 (positive, so the sign stays): x < 9
10.8x ≥ −16
Answer: x ≥ −2
- Divide both sides by 8 (positive, so the sign stays): x ≥ −2
11.x + 4 > 11
Answer: x > 7
- Subtract 4 on both sides: x > 11 − 4 = 7
12.x + 3 < 6
Answer: x < 3
- Subtract 3 on both sides: x < 6 − 3 = 3
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.