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.
1.2x ≤ 6
Answer: x ≤ 3
- Divide both sides by 2 (positive, so the sign stays): x ≤ 3
2.2x ≥ 8
Answer: x ≥ 4
- Divide both sides by 2 (positive, so the sign stays): x ≥ 4
3.3x ≥ −24
Answer: x ≥ −8
- Divide both sides by 3 (positive, so the sign stays): x ≥ −8
4.7x ≤ 7
Answer: x ≤ 1
- Divide both sides by 7 (positive, so the sign stays): x ≤ 1
5.3x > −6
Answer: x > −2
- Divide both sides by 3 (positive, so the sign stays): x > −2
6.2x ≤ 22
Answer: x ≤ 11
- Divide both sides by 2 (positive, so the sign stays): x ≤ 11
7.x + 1 < −2
Answer: x < −3
- Subtract 1 on both sides: x < −2 − 1 = −3
8.x − 9 ≤ −13
Answer: x ≤ −4
- Add 9 on both sides: x ≤ −13 + 9 = −4
9.x + 9 > 14
Answer: x > 5
- Subtract 9 on both sides: x > 14 − 9 = 5
10.x − 1 < −8
Answer: x < −7
- Add 1 on both sides: x < −8 + 1 = −7
11.x + 8 ≥ 8
Answer: x ≥ 0
- Subtract 8 on both sides: x ≥ 8 − 8 = 0
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.