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 − 7 > −6
Answer: x > 1
- Add 7 on both sides: x > −6 + 7 = 1
2.x − 5 < −5
Answer: x < 0
- Add 5 on both sides: x < −5 + 5 = 0
3.3x ≥ 33
Answer: x ≥ 11
- Divide both sides by 3 (positive, so the sign stays): x ≥ 11
4.3x < 27
Answer: x < 9
- Divide both sides by 3 (positive, so the sign stays): x < 9
5.x − 7 ≤ −3
Answer: x ≤ 4
- Add 7 on both sides: x ≤ −3 + 7 = 4
6.x + 1 > −3
Answer: x > −4
- Subtract 1 on both sides: x > −3 − 1 = −4
7.x − 9 ≥ −7
Answer: x ≥ 2
- Add 9 on both sides: x ≥ −7 + 9 = 2
8.6x < −42
Answer: x < −7
- Divide both sides by 6 (positive, so the sign stays): x < −7
9.x + 2 ≤ 8
Answer: x ≤ 6
- Subtract 2 on both sides: x ≤ 8 − 2 = 6
10.9x ≤ −72
Answer: x ≤ −8
- Divide both sides by 9 (positive, so the sign stays): x ≤ −8
11.9x ≥ −18
Answer: x ≥ −2
- Divide both sides by 9 (positive, so the sign stays): x ≥ −2
12.4x ≤ −16
Answer: x ≤ −4
- Divide both sides by 4 (positive, so the sign stays): x ≤ −4
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.