Year 8 Solving Linear Inequalities Worksheet — Level 2 — Practice Set 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 — Practice Set 2 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 3x − 5 < −8
Answer: x < −1
- Add 5: 3x < −3
- Divide by 3: x < −1
2.Solve: 6x − 10 > 8
Answer: x > 3
- Add 10: 6x > 18
- Divide by 6: x > 3
3.Solve: 3x + 12 < 33
Answer: x < 7
- Subtract 12: 3x < 21
- Divide by 3: x < 7
4.Solve: 4x − 12 > −28
Answer: x > −4
- Add 12: 4x > −16
- Divide by 4: x > −4
5.Solve: 4x + 2 < 2
Answer: x < 0
- Subtract 2: 4x < 0
- Divide by 4: x < 0
6.Solve: 2x + 12 ≤ 10
Answer: x ≤ −1
- Subtract 12: 2x ≤ −2
- Divide by 2: x ≤ −1
7.Solve: 5x + 7 ≤ 57
Answer: x ≤ 10
- Subtract 7: 5x ≤ 50
- Divide by 5: x ≤ 10
8.Solve: 7x − 4 ≥ 45
Answer: x ≥ 7
- Add 4: 7x ≥ 49
- Divide by 7: x ≥ 7
9.Solve: 2x − 11 < −13
Answer: x < −1
- Add 11: 2x < −2
- Divide by 2: x < −1
10.Solve: 7x − 5 < 9
Answer: x < 2
- Add 5: 7x < 14
- Divide by 7: x < 2
11.Solve: 3x + 2 ≥ 5
Answer: x ≥ 1
- Subtract 2: 3x ≥ 3
- Divide by 3: x ≥ 1
12.Solve: 5x − 8 > −43
Answer: x > −7
- Add 8: 5x > −35
- Divide by 5: x > −7
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.