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: 7x − 9 < 68
Answer: x < 11
- Add 9: 7x < 77
- Divide by 7: x < 11
2.Solve: 3x + 4 ≥ 40
Answer: x ≥ 12
- Subtract 4: 3x ≥ 36
- Divide by 3: x ≥ 12
3.Solve: 7x + 10 ≤ −39
Answer: x ≤ −7
- Subtract 10: 7x ≤ −49
- Divide by 7: x ≤ −7
4.Solve: 7x + 3 > −18
Answer: x > −3
- Subtract 3: 7x > −21
- Divide by 7: x > −3
5.Solve: 6x − 5 ≤ 25
Answer: x ≤ 5
- Add 5: 6x ≤ 30
- Divide by 6: x ≤ 5
6.Solve: 2x − 5 < 3
Answer: x < 4
- Add 5: 2x < 8
- Divide by 2: x < 4
7.Solve: 7x + 7 > 42
Answer: x > 5
- Subtract 7: 7x > 35
- Divide by 7: x > 5
8.Solve: 7x − 10 > −24
Answer: x > −2
- Add 10: 7x > −14
- Divide by 7: x > −2
9.Solve: 5x + 4 ≥ −21
Answer: x ≥ −5
- Subtract 4: 5x ≥ −25
- Divide by 5: x ≥ −5
10.Solve: 3x + 10 ≥ 7
Answer: x ≥ −1
- Subtract 10: 3x ≥ −3
- Divide by 3: x ≥ −1
11.Solve: 4x + 8 ≥ 16
Answer: x ≥ 2
- Subtract 8: 4x ≥ 8
- Divide by 4: x ≥ 2
12.Solve: 2x − 3 < −15
Answer: x < −6
- Add 3: 2x < −12
- Divide by 2: x < −6
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.