Year 10 Solving Linear Inequalities Worksheet — Level 1 — Practice Set 2 — 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 2 — Answers
Solve each inequality the same way you would solve an equation.
1.x − 1 > 8
Answer: x > 9
- Add 1 on both sides: x > 8 + 1 = 9
2.4x < 40
Answer: x < 10
- Divide both sides by 4 (positive, so the sign stays): x < 10
3.x + 5 > 17
Answer: x > 12
- Subtract 5 on both sides: x > 17 − 5 = 12
4.x − 2 < −3
Answer: x < −1
- Add 2 on both sides: x < −3 + 2 = −1
5.3x ≥ 24
Answer: x ≥ 8
- Divide both sides by 3 (positive, so the sign stays): x ≥ 8
6.x − 4 < 1
Answer: x < 5
- Add 4 on both sides: x < 1 + 4 = 5
7.7x ≥ −42
Answer: x ≥ −6
- Divide both sides by 7 (positive, so the sign stays): x ≥ −6
8.x − 8 ≥ 1
Answer: x ≥ 9
- Add 8 on both sides: x ≥ 1 + 8 = 9
9.x + 6 ≥ 6
Answer: x ≥ 0
- Subtract 6 on both sides: x ≥ 6 − 6 = 0
10.x + 6 > −1
Answer: x > −7
- Subtract 6 on both sides: x > −1 − 6 = −7
11.7x ≥ 77
Answer: x ≥ 11
- Divide both sides by 7 (positive, so the sign stays): x ≥ 11
12.4x ≥ 40
Answer: x ≥ 10
- Divide both sides by 4 (positive, so the sign stays): x ≥ 10
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.