Year 11 Solving Linear Inequalities Worksheet — Level 2 — 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 2 — Practice Set 2 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 7x + 2 ≥ 65
Answer: x ≥ 9
- Subtract 2: 7x ≥ 63
- Divide by 7: x ≥ 9
2.Solve: 6x + 10 ≥ 22
Answer: x ≥ 2
- Subtract 10: 6x ≥ 12
- Divide by 6: x ≥ 2
3.Solve: 2x − 2 < −14
Answer: x < −6
- Add 2: 2x < −12
- Divide by 2: x < −6
4.Solve: 5x + 8 > −27
Answer: x > −7
- Subtract 8: 5x > −35
- Divide by 5: x > −7
5.Solve: 6x − 8 > 28
Answer: x > 6
- Add 8: 6x > 36
- Divide by 6: x > 6
6.Solve: 5x − 1 > 44
Answer: x > 9
- Add 1: 5x > 45
- Divide by 5: x > 9
7.Solve: 6x − 11 < 31
Answer: x < 7
- Add 11: 6x < 42
- Divide by 6: x < 7
8.Solve: 7x − 9 ≥ −9
Answer: x ≥ 0
- Add 9: 7x ≥ 0
- Divide by 7: x ≥ 0
9.Solve: 5x + 11 ≥ 36
Answer: x ≥ 5
- Subtract 11: 5x ≥ 25
- Divide by 5: x ≥ 5
10.Solve: 4x − 7 ≤ −35
Answer: x ≤ −7
- Add 7: 4x ≤ −28
- Divide by 4: x ≤ −7
11.Solve: 4x − 10 < 26
Answer: x < 9
- Add 10: 4x < 36
- Divide by 4: x < 9
12.Solve: 3x − 5 > 4
Answer: x > 3
- Add 5: 3x > 9
- Divide by 3: 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.