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.x + 7 ≥ 13
Answer: x ≥ 6
- Subtract 7 on both sides: x ≥ 13 − 7 = 6
2.x − 7 > 5
Answer: x > 12
- Add 7 on both sides: x > 5 + 7 = 12
3.2x ≥ 4
Answer: x ≥ 2
- Divide both sides by 2 (positive, so the sign stays): x ≥ 2
4.8x < 64
Answer: x < 8
- Divide both sides by 8 (positive, so the sign stays): x < 8
5.x + 6 ≤ 12
Answer: x ≤ 6
- Subtract 6 on both sides: x ≤ 12 − 6 = 6
6.6x ≤ −24
Answer: x ≤ −4
- Divide both sides by 6 (positive, so the sign stays): x ≤ −4
7.6x > −54
Answer: x > −9
- Divide both sides by 6 (positive, so the sign stays): x > −9
8.5x ≥ 60
Answer: x ≥ 12
- Divide both sides by 5 (positive, so the sign stays): x ≥ 12
9.x + 5 ≥ 10
Answer: x ≥ 5
- Subtract 5 on both sides: x ≥ 10 − 5 = 5
10.5x > 35
Answer: x > 7
- Divide both sides by 5 (positive, so the sign stays): x > 7
11.8x < 88
Answer: x < 11
- Divide both sides by 8 (positive, so the sign stays): x < 11
12.8x ≤ 80
Answer: x ≤ 10
- Divide both sides by 8 (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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