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.x + 1 > 0
Answer: x > −1
- Subtract 1 on both sides: x > 0 − 1 = −1
2.5x ≥ −20
Answer: x ≥ −4
- Divide both sides by 5 (positive, so the sign stays): x ≥ −4
3.x − 1 ≤ −3
Answer: x ≤ −2
- Add 1 on both sides: x ≤ −3 + 1 = −2
4.3x ≤ −18
Answer: x ≤ −6
- Divide both sides by 3 (positive, so the sign stays): x ≤ −6
5.x − 6 > −15
Answer: x > −9
- Add 6 on both sides: x > −15 + 6 = −9
6.6x ≤ −6
Answer: x ≤ −1
- Divide both sides by 6 (positive, so the sign stays): x ≤ −1
7.x + 5 ≤ 17
Answer: x ≤ 12
- Subtract 5 on both sides: x ≤ 17 − 5 = 12
8.x + 6 > 5
Answer: x > −1
- Subtract 6 on both sides: x > 5 − 6 = −1
9.x + 2 > 2
Answer: x > 0
- Subtract 2 on both sides: x > 2 − 2 = 0
10.x − 6 < −13
Answer: x < −7
- Add 6 on both sides: x < −13 + 6 = −7
11.8x < 40
Answer: x < 5
- Divide both sides by 8 (positive, so the sign stays): x < 5
12.x + 9 > 14
Answer: x > 5
- Subtract 9 on both sides: x > 14 − 9 = 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.