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 − 5 < 50
Answer: x < 11
- Add 5: 5x < 55
- Divide by 5: x < 11
2.Solve: 4x + 12 > −12
Answer: x > −6
- Subtract 12: 4x > −24
- Divide by 4: x > −6
3.Solve: 7x + 2 ≥ 86
Answer: x ≥ 12
- Subtract 2: 7x ≥ 84
- Divide by 7: x ≥ 12
4.Solve: 5x − 3 < −13
Answer: x < −2
- Add 3: 5x < −10
- Divide by 5: x < −2
5.Solve: 2x − 3 < −9
Answer: x < −3
- Add 3: 2x < −6
- Divide by 2: x < −3
6.Solve: 7x + 9 < 86
Answer: x < 11
- Subtract 9: 7x < 77
- Divide by 7: x < 11
7.Solve: 4x − 4 ≤ −8
Answer: x ≤ −1
- Add 4: 4x ≤ −4
- Divide by 4: x ≤ −1
8.Solve: 4x − 11 > −3
Answer: x > 2
- Add 11: 4x > 8
- Divide by 4: x > 2
9.Solve: 5x + 1 ≤ −29
Answer: x ≤ −6
- Subtract 1: 5x ≤ −30
- Divide by 5: x ≤ −6
10.Solve: 6x + 1 < 43
Answer: x < 7
- Subtract 1: 6x < 42
- Divide by 6: x < 7
11.Solve: 6x + 8 ≤ 8
Answer: x ≤ 0
- Subtract 8: 6x ≤ 0
- Divide by 6: x ≤ 0
12.Solve: 2x + 8 > 18
Answer: x > 5
- Subtract 8: 2x > 10
- Divide by 2: x > 5
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.