Year 11 Solving Linear Inequalities Worksheet — Level 1 — Practice Set 4 — 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 — Practice Set 4 — Answers
Solve each inequality the same way you would solve an equation.
1.x − 7 ≥ 1
Answer: x ≥ 8
- Add 7 on both sides: x ≥ 1 + 7 = 8
2.x − 3 < 1
Answer: x < 4
- Add 3 on both sides: x < 1 + 3 = 4
3.2x > −14
Answer: x > −7
- Divide both sides by 2 (positive, so the sign stays): x > −7
4.2x > −12
Answer: x > −6
- Divide both sides by 2 (positive, so the sign stays): x > −6
5.7x ≤ 7
Answer: x ≤ 1
- Divide both sides by 7 (positive, so the sign stays): x ≤ 1
6.6x > 0
Answer: x > 0
- Divide both sides by 6 (positive, so the sign stays): x > 0
7.x + 1 ≥ 9
Answer: x ≥ 8
- Subtract 1 on both sides: x ≥ 9 − 1 = 8
8.6x < 66
Answer: x < 11
- Divide both sides by 6 (positive, so the sign stays): x < 11
9.4x > −8
Answer: x > −2
- Divide both sides by 4 (positive, so the sign stays): x > −2
10.x − 6 ≥ 3
Answer: x ≥ 9
- Add 6 on both sides: x ≥ 3 + 6 = 9
11.x − 6 < 3
Answer: x < 9
- Add 6 on both sides: x < 3 + 6 = 9
12.9x ≥ −27
Answer: x ≥ −3
- Divide both sides by 9 (positive, so the sign stays): x ≥ −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.