Year 11 Solving Linear Inequalities Worksheet — Level 2 — 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 2 — Practice Set 4 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 3x − 6 > −3
Answer: x > 1
- Add 6: 3x > 3
- Divide by 3: x > 1
2.Solve: 3x − 9 > −9
Answer: x > 0
- Add 9: 3x > 0
- Divide by 3: x > 0
3.Solve: 4x + 3 ≤ −1
Answer: x ≤ −1
- Subtract 3: 4x ≤ −4
- Divide by 4: x ≤ −1
4.Solve: 5x − 6 > −51
Answer: x > −9
- Add 6: 5x > −45
- Divide by 5: x > −9
5.Solve: 2x + 5 ≥ −7
Answer: x ≥ −6
- Subtract 5: 2x ≥ −12
- Divide by 2: x ≥ −6
6.Solve: 7x + 1 ≤ −41
Answer: x ≤ −6
- Subtract 1: 7x ≤ −42
- Divide by 7: x ≤ −6
7.Solve: 6x − 12 ≤ −60
Answer: x ≤ −8
- Add 12: 6x ≤ −48
- Divide by 6: x ≤ −8
8.Solve: 2x + 10 < 34
Answer: x < 12
- Subtract 10: 2x < 24
- Divide by 2: x < 12
9.Solve: 4x − 8 ≤ −40
Answer: x ≤ −8
- Add 8: 4x ≤ −32
- Divide by 4: x ≤ −8
10.Solve: 7x + 11 ≥ −45
Answer: x ≥ −8
- Subtract 11: 7x ≥ −56
- Divide by 7: x ≥ −8
11.Solve: 4x − 9 > 19
Answer: x > 7
- Add 9: 4x > 28
- Divide by 4: x > 7
12.Solve: 4x + 4 > 20
Answer: x > 4
- Subtract 4: 4x > 16
- Divide by 4: x > 4
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.