Year 8 Solving Linear Inequalities Worksheet — Level 2 — Practice Set 4 — 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 4 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 4x + 2 ≥ −2
Answer: x ≥ −1
- Subtract 2: 4x ≥ −4
- Divide by 4: x ≥ −1
2.Solve: 2x − 7 ≥ −9
Answer: x ≥ −1
- Add 7: 2x ≥ −2
- Divide by 2: x ≥ −1
3.Solve: 4x + 5 < 9
Answer: x < 1
- Subtract 5: 4x < 4
- Divide by 4: x < 1
4.Solve: 5x − 2 < 13
Answer: x < 3
- Add 2: 5x < 15
- Divide by 5: x < 3
5.Solve: 5x − 6 ≥ −46
Answer: x ≥ −8
- Add 6: 5x ≥ −40
- Divide by 5: x ≥ −8
6.Solve: 4x − 8 > 28
Answer: x > 9
- Add 8: 4x > 36
- Divide by 4: x > 9
7.Solve: 3x + 12 > 21
Answer: x > 3
- Subtract 12: 3x > 9
- Divide by 3: x > 3
8.Solve: 4x − 7 ≤ −27
Answer: x ≤ −5
- Add 7: 4x ≤ −20
- Divide by 4: x ≤ −5
9.Solve: 6x − 10 < −16
Answer: x < −1
- Add 10: 6x < −6
- Divide by 6: x < −1
10.Solve: 7x + 9 ≥ 30
Answer: x ≥ 3
- Subtract 9: 7x ≥ 21
- Divide by 7: x ≥ 3
11.Solve: 3x + 5 < −10
Answer: x < −5
- Subtract 5: 3x < −15
- Divide by 3: x < −5
12.Solve: 2x − 1 < 13
Answer: x < 7
- Add 1: 2x < 14
- Divide by 2: 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.