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 − 8 < −29
Answer: x < −7
- Add 8: 3x < −21
- Divide by 3: x < −7
2.Solve: 5x − 4 ≤ 51
Answer: x ≤ 11
- Add 4: 5x ≤ 55
- Divide by 5: x ≤ 11
3.Solve: 7x + 12 ≥ −16
Answer: x ≥ −4
- Subtract 12: 7x ≥ −28
- Divide by 7: x ≥ −4
4.Solve: 3x − 1 ≥ 26
Answer: x ≥ 9
- Add 1: 3x ≥ 27
- Divide by 3: x ≥ 9
5.Solve: 2x + 2 > 0
Answer: x > −1
- Subtract 2: 2x > −2
- Divide by 2: x > −1
6.Solve: 4x − 11 > −31
Answer: x > −5
- Add 11: 4x > −20
- Divide by 4: x > −5
7.Solve: 5x − 4 > −24
Answer: x > −4
- Add 4: 5x > −20
- Divide by 5: x > −4
8.Solve: 2x + 6 ≥ 4
Answer: x ≥ −1
- Subtract 6: 2x ≥ −2
- Divide by 2: x ≥ −1
9.Solve: 5x − 10 ≥ −55
Answer: x ≥ −9
- Add 10: 5x ≥ −45
- Divide by 5: x ≥ −9
10.Solve: 7x − 2 < 40
Answer: x < 6
- Add 2: 7x < 42
- Divide by 7: x < 6
11.Solve: 6x − 6 > 66
Answer: x > 12
- Add 6: 6x > 72
- Divide by 6: x > 12
12.Solve: 7x + 4 ≥ −3
Answer: x ≥ −1
- Subtract 4: 7x ≥ −7
- Divide by 7: x ≥ −1
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.