Year 10 Solving Linear Inequalities Worksheet — Level 1 — Practice Set 3 — 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 3 — Answers
Solve each inequality the same way you would solve an equation.
1.x + 7 < 14
Answer: x < 7
- Subtract 7 on both sides: x < 14 − 7 = 7
2.8x < 96
Answer: x < 12
- Divide both sides by 8 (positive, so the sign stays): x < 12
3.8x ≤ −56
Answer: x ≤ −7
- Divide both sides by 8 (positive, so the sign stays): x ≤ −7
4.x + 3 > −3
Answer: x > −6
- Subtract 3 on both sides: x > −3 − 3 = −6
5.6x ≤ 36
Answer: x ≤ 6
- Divide both sides by 6 (positive, so the sign stays): x ≤ 6
6.4x ≥ 28
Answer: x ≥ 7
- Divide both sides by 4 (positive, so the sign stays): x ≥ 7
7.4x ≥ 36
Answer: x ≥ 9
- Divide both sides by 4 (positive, so the sign stays): x ≥ 9
8.8x ≥ 24
Answer: x ≥ 3
- Divide both sides by 8 (positive, so the sign stays): x ≥ 3
9.5x > −40
Answer: x > −8
- Divide both sides by 5 (positive, so the sign stays): x > −8
10.x + 7 < 7
Answer: x < 0
- Subtract 7 on both sides: x < 7 − 7 = 0
11.6x > −54
Answer: x > −9
- Divide both sides by 6 (positive, so the sign stays): x > −9
12.9x > 90
Answer: x > 10
- Divide both sides by 9 (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.
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