Year 11 Solving Linear Inequalities Worksheet — Level 2 — Practice Set 3 — 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 2 — Practice Set 3 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 2x − 2 ≥ 6
Answer: x ≥ 4
- Add 2: 2x ≥ 8
- Divide by 2: x ≥ 4
2.Solve: 2x + 7 ≤ −3
Answer: x ≤ −5
- Subtract 7: 2x ≤ −10
- Divide by 2: x ≤ −5
3.Solve: 6x − 5 > −35
Answer: x > −5
- Add 5: 6x > −30
- Divide by 6: x > −5
4.Solve: 6x − 7 ≥ −25
Answer: x ≥ −3
- Add 7: 6x ≥ −18
- Divide by 6: x ≥ −3
5.Solve: 2x + 9 ≥ 7
Answer: x ≥ −1
- Subtract 9: 2x ≥ −2
- Divide by 2: x ≥ −1
6.Solve: 3x + 3 < 21
Answer: x < 6
- Subtract 3: 3x < 18
- Divide by 3: x < 6
7.Solve: 5x − 3 ≤ −48
Answer: x ≤ −9
- Add 3: 5x ≤ −45
- Divide by 5: x ≤ −9
8.Solve: 3x − 8 > −26
Answer: x > −6
- Add 8: 3x > −18
- Divide by 3: x > −6
9.Solve: 5x − 11 > 14
Answer: x > 5
- Add 11: 5x > 25
- Divide by 5: x > 5
10.Solve: 7x + 2 < 30
Answer: x < 4
- Subtract 2: 7x < 28
- Divide by 7: x < 4
11.Solve: 2x + 11 ≥ 25
Answer: x ≥ 7
- Subtract 11: 2x ≥ 14
- Divide by 2: x ≥ 7
12.Solve: 6x − 9 > 45
Answer: x > 9
- Add 9: 6x > 54
- Divide by 6: x > 9
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.