Year 8 Solving Linear Inequalities Worksheet — Level 2 — Practice Set 3 — 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 — Practice Set 3 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 5x + 3 > 58
Answer: x > 11
- Subtract 3: 5x > 55
- Divide by 5: x > 11
2.Solve: 5x + 6 ≤ 66
Answer: x ≤ 12
- Subtract 6: 5x ≤ 60
- Divide by 5: x ≤ 12
3.Solve: 5x + 8 > −22
Answer: x > −6
- Subtract 8: 5x > −30
- Divide by 5: x > −6
4.Solve: 6x + 3 < 63
Answer: x < 10
- Subtract 3: 6x < 60
- Divide by 6: x < 10
5.Solve: 4x + 7 > 39
Answer: x > 8
- Subtract 7: 4x > 32
- Divide by 4: x > 8
6.Solve: 4x − 1 > −33
Answer: x > −8
- Add 1: 4x > −32
- Divide by 4: x > −8
7.Solve: 6x − 3 < 57
Answer: x < 10
- Add 3: 6x < 60
- Divide by 6: x < 10
8.Solve: 5x + 10 ≤ −25
Answer: x ≤ −7
- Subtract 10: 5x ≤ −35
- Divide by 5: x ≤ −7
9.Solve: 3x − 7 < −10
Answer: x < −1
- Add 7: 3x < −3
- Divide by 3: x < −1
10.Solve: 6x − 9 ≥ −33
Answer: x ≥ −4
- Add 9: 6x ≥ −24
- Divide by 6: x ≥ −4
11.Solve: 4x + 12 < 8
Answer: x < −1
- Subtract 12: 4x < −4
- Divide by 4: x < −1
12.Solve: 3x − 2 > 34
Answer: x > 12
- Add 2: 3x > 36
- Divide by 3: x > 12
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.