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.
1.4x > −8
Answer: x > −2
- Divide both sides by 4 (positive, so the sign stays): x > −2
2.x − 1 ≤ −2
Answer: x ≤ −1
- Add 1 on both sides: x ≤ −2 + 1 = −1
3.x + 4 > 9
Answer: x > 5
- Subtract 4 on both sides: x > 9 − 4 = 5
4.6x < 42
Answer: x < 7
- Divide both sides by 6 (positive, so the sign stays): x < 7
5.5x ≤ −25
Answer: x ≤ −5
- Divide both sides by 5 (positive, so the sign stays): x ≤ −5
6.x − 8 < −7
Answer: x < 1
- Add 8 on both sides: x < −7 + 8 = 1
7.x + 5 < 11
Answer: x < 6
- Subtract 5 on both sides: x < 11 − 5 = 6
8.5x ≤ 40
Answer: x ≤ 8
- Divide both sides by 5 (positive, so the sign stays): x ≤ 8
9.8x ≥ 80
Answer: x ≥ 10
- Divide both sides by 8 (positive, so the sign stays): x ≥ 10
10.x + 3 < 5
Answer: x < 2
- Subtract 3 on both sides: x < 5 − 3 = 2
11.4x > 36
Answer: x > 9
- Divide both sides by 4 (positive, so the sign stays): x > 9
12.x + 4 > 7
Answer: x > 3
- Subtract 4 on both sides: x > 7 − 4 = 3
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.