Year 11 Solving Linear Inequalities Worksheet — Level 1 — Practice Set 2 — 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 2 — Answers
Solve each inequality the same way you would solve an equation.
1.3x < −12
Answer: x < −4
- Divide both sides by 3 (positive, so the sign stays): x < −4
2.5x ≤ 25
Answer: x ≤ 5
- Divide both sides by 5 (positive, so the sign stays): x ≤ 5
3.x − 1 > 6
Answer: x > 7
- Add 1 on both sides: x > 6 + 1 = 7
4.4x ≥ −32
Answer: x ≥ −8
- Divide both sides by 4 (positive, so the sign stays): x ≥ −8
5.7x < 14
Answer: x < 2
- Divide both sides by 7 (positive, so the sign stays): x < 2
6.x + 4 > 16
Answer: x > 12
- Subtract 4 on both sides: x > 16 − 4 = 12
7.x − 9 ≤ −16
Answer: x ≤ −7
- Add 9 on both sides: x ≤ −16 + 9 = −7
8.x − 1 ≥ −3
Answer: x ≥ −2
- Add 1 on both sides: x ≥ −3 + 1 = −2
9.7x ≥ −35
Answer: x ≥ −5
- Divide both sides by 7 (positive, so the sign stays): x ≥ −5
10.8x ≤ −16
Answer: x ≤ −2
- Divide both sides by 8 (positive, so the sign stays): x ≤ −2
11.9x < 18
Answer: x < 2
- Divide both sides by 9 (positive, so the sign stays): x < 2
12.x − 4 ≤ −5
Answer: x ≤ −1
- Add 4 on both sides: x ≤ −5 + 4 = −1
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.