Year 11 Solving Linear Inequalities Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the Year 11 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Linear EquationsYear 11 Solving Linear Inequalities Worksheet — Level 1 — Answers
Solve each inequality the same way you would solve an equation.
1.6x < −48
Answer: x < −8
- Divide both sides by 6 (positive, so the sign stays): x < −8
2.4x ≥ −20
Answer: x ≥ −5
- Divide both sides by 4 (positive, so the sign stays): x ≥ −5
3.5x < 15
Answer: x < 3
- Divide both sides by 5 (positive, so the sign stays): x < 3
4.x − 9 < −12
Answer: x < −3
- Add 9 on both sides: x < −12 + 9 = −3
5.3x > 27
Answer: x > 9
- Divide both sides by 3 (positive, so the sign stays): x > 9
6.x − 4 ≥ −1
Answer: x ≥ 3
- Add 4 on both sides: x ≥ −1 + 4 = 3
7.6x ≤ 60
Answer: x ≤ 10
- Divide both sides by 6 (positive, so the sign stays): x ≤ 10
8.x − 9 ≥ 3
Answer: x ≥ 12
- Add 9 on both sides: x ≥ 3 + 9 = 12
9.8x ≥ 72
Answer: x ≥ 9
- Divide both sides by 8 (positive, so the sign stays): x ≥ 9
10.7x > −42
Answer: x > −6
- Divide both sides by 7 (positive, so the sign stays): x > −6
11.x − 1 > 9
Answer: x > 10
- Add 1 on both sides: x > 9 + 1 = 10
12.3x ≥ 21
Answer: x ≥ 7
- Divide both sides by 3 (positive, so the sign stays): x ≥ 7
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.