Year 8 Solving Linear Inequalities Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the Year 8 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Linear EquationsYear 8 Solving Linear Inequalities Worksheet — Level 2 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 5x − 3 ≥ −33
Answer: x ≥ −6
- Add 3: 5x ≥ −30
- Divide by 5: x ≥ −6
2.Solve: 5x − 4 ≤ 11
Answer: x ≤ 3
- Add 4: 5x ≤ 15
- Divide by 5: x ≤ 3
3.Solve: 2x + 9 > 21
Answer: x > 6
- Subtract 9: 2x > 12
- Divide by 2: x > 6
4.Solve: 4x − 7 ≤ 5
Answer: x ≤ 3
- Add 7: 4x ≤ 12
- Divide by 4: x ≤ 3
5.Solve: 3x − 9 ≥ −18
Answer: x ≥ −3
- Add 9: 3x ≥ −9
- Divide by 3: x ≥ −3
6.Solve: 5x + 6 < 26
Answer: x < 4
- Subtract 6: 5x < 20
- Divide by 5: x < 4
7.Solve: 6x − 1 ≤ −43
Answer: x ≤ −7
- Add 1: 6x ≤ −42
- Divide by 6: x ≤ −7
8.Solve: 2x − 3 ≤ −5
Answer: x ≤ −1
- Add 3: 2x ≤ −2
- Divide by 2: x ≤ −1
9.Solve: 6x − 12 ≥ 42
Answer: x ≥ 9
- Add 12: 6x ≥ 54
- Divide by 6: x ≥ 9
10.Solve: 6x + 8 < −46
Answer: x < −9
- Subtract 8: 6x < −54
- Divide by 6: x < −9
11.Solve: 3x − 2 > 22
Answer: x > 8
- Add 2: 3x > 24
- Divide by 3: x > 8
12.Solve: 7x + 12 > 68
Answer: x > 8
- Subtract 12: 7x > 56
- Divide by 7: x > 8
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.