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.
1.4x ≥ −16
Answer: x ≥ −4
- Divide both sides by 4 (positive, so the sign stays): x ≥ −4
2.x + 4 < −4
Answer: x < −8
- Subtract 4 on both sides: x < −4 − 4 = −8
3.x + 7 ≤ 8
Answer: x ≤ 1
- Subtract 7 on both sides: x ≤ 8 − 7 = 1
4.7x ≤ 21
Answer: x ≤ 3
- Divide both sides by 7 (positive, so the sign stays): x ≤ 3
5.x − 4 ≤ 7
Answer: x ≤ 11
- Add 4 on both sides: x ≤ 7 + 4 = 11
6.x − 5 > 0
Answer: x > 5
- Add 5 on both sides: x > 0 + 5 = 5
7.x − 7 > −8
Answer: x > −1
- Add 7 on both sides: x > −8 + 7 = −1
8.x − 8 ≥ −3
Answer: x ≥ 5
- Add 8 on both sides: x ≥ −3 + 8 = 5
9.x + 2 > −2
Answer: x > −4
- Subtract 2 on both sides: x > −2 − 2 = −4
10.7x ≥ −7
Answer: x ≥ −1
- Divide both sides by 7 (positive, so the sign stays): x ≥ −1
11.3x ≤ 27
Answer: x ≤ 9
- Divide both sides by 3 (positive, so the sign stays): x ≤ 9
12.7x ≤ 35
Answer: x ≤ 5
- Divide both sides by 7 (positive, so the sign stays): x ≤ 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.