Year 10 Solving Linear Inequalities Worksheet — Level 1 — 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 — Answers
Solve each inequality the same way you would solve an equation.
1.x − 1 < −5
Answer: x < −4
- Add 1 on both sides: x < −5 + 1 = −4
2.x − 2 < 9
Answer: x < 11
- Add 2 on both sides: x < 9 + 2 = 11
3.x − 2 ≤ 3
Answer: x ≤ 5
- Add 2 on both sides: x ≤ 3 + 2 = 5
4.x + 8 < 19
Answer: x < 11
- Subtract 8 on both sides: x < 19 − 8 = 11
5.x + 5 ≥ 6
Answer: x ≥ 1
- Subtract 5 on both sides: x ≥ 6 − 5 = 1
6.3x > 18
Answer: x > 6
- Divide both sides by 3 (positive, so the sign stays): x > 6
7.x + 8 > 17
Answer: x > 9
- Subtract 8 on both sides: x > 17 − 8 = 9
8.8x < −48
Answer: x < −6
- Divide both sides by 8 (positive, so the sign stays): x < −6
9.3x ≤ −21
Answer: x ≤ −7
- Divide both sides by 3 (positive, so the sign stays): x ≤ −7
10.9x > 45
Answer: x > 5
- Divide both sides by 9 (positive, so the sign stays): x > 5
11.x + 4 > 13
Answer: x > 9
- Subtract 4 on both sides: x > 13 − 4 = 9
12.x + 6 ≥ −3
Answer: x ≥ −9
- Subtract 6 on both sides: x ≥ −3 − 6 = −9
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.