Year 10 Solving Linear Inequalities Worksheet — Level 1 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 10 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Linear EquationsYear 10 Solving Linear Inequalities Worksheet — Level 1 — Practice Set 4 — Answers
Solve each inequality the same way you would solve an equation.
1.2x ≤ 24
Answer: x ≤ 12
- Divide both sides by 2 (positive, so the sign stays): x ≤ 12
2.3x ≥ −9
Answer: x ≥ −3
- Divide both sides by 3 (positive, so the sign stays): x ≥ −3
3.7x ≤ 70
Answer: x ≤ 10
- Divide both sides by 7 (positive, so the sign stays): x ≤ 10
4.x + 5 ≥ −2
Answer: x ≥ −7
- Subtract 5 on both sides: x ≥ −2 − 5 = −7
5.x − 3 < −8
Answer: x < −5
- Add 3 on both sides: x < −8 + 3 = −5
6.6x < 54
Answer: x < 9
- Divide both sides by 6 (positive, so the sign stays): x < 9
7.x − 8 ≤ −12
Answer: x ≤ −4
- Add 8 on both sides: x ≤ −12 + 8 = −4
8.x + 1 ≥ 5
Answer: x ≥ 4
- Subtract 1 on both sides: x ≥ 5 − 1 = 4
9.x + 7 ≤ 10
Answer: x ≤ 3
- Subtract 7 on both sides: x ≤ 10 − 7 = 3
10.x − 6 > 3
Answer: x > 9
- Add 6 on both sides: x > 3 + 6 = 9
11.7x > 70
Answer: x > 10
- Divide both sides by 7 (positive, so the sign stays): x > 10
12.x − 8 ≥ 4
Answer: x ≥ 12
- Add 8 on both sides: x ≥ 4 + 8 = 12
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.