Year 11 Solving Linear Inequalities Worksheet — Level 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 2 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 3x + 10 > 19
Answer: x > 3
- Subtract 10: 3x > 9
- Divide by 3: x > 3
2.Solve: 5x − 6 < −41
Answer: x < −7
- Add 6: 5x < −35
- Divide by 5: x < −7
3.Solve: 4x − 3 ≤ 13
Answer: x ≤ 4
- Add 3: 4x ≤ 16
- Divide by 4: x ≤ 4
4.Solve: 6x − 2 ≥ 46
Answer: x ≥ 8
- Add 2: 6x ≥ 48
- Divide by 6: x ≥ 8
5.Solve: 5x + 1 ≥ 56
Answer: x ≥ 11
- Subtract 1: 5x ≥ 55
- Divide by 5: x ≥ 11
6.Solve: 2x − 11 ≥ −19
Answer: x ≥ −4
- Add 11: 2x ≥ −8
- Divide by 2: x ≥ −4
7.Solve: 7x − 12 ≤ 72
Answer: x ≤ 12
- Add 12: 7x ≤ 84
- Divide by 7: x ≤ 12
8.Solve: 3x + 11 ≥ 14
Answer: x ≥ 1
- Subtract 11: 3x ≥ 3
- Divide by 3: x ≥ 1
9.Solve: 4x + 11 < −5
Answer: x < −4
- Subtract 11: 4x < −16
- Divide by 4: x < −4
10.Solve: 4x − 6 < 30
Answer: x < 9
- Add 6: 4x < 36
- Divide by 4: x < 9
11.Solve: 3x + 4 < 19
Answer: x < 5
- Subtract 4: 3x < 15
- Divide by 3: x < 5
12.Solve: 7x + 7 > 21
Answer: x > 2
- Subtract 7: 7x > 14
- Divide by 7: x > 2
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.