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: 3x + 2 ≥ −19
Answer: x ≥ −7
- Subtract 2: 3x ≥ −21
- Divide by 3: x ≥ −7
2.Solve: 5x − 3 ≤ −33
Answer: x ≤ −6
- Add 3: 5x ≤ −30
- Divide by 5: x ≤ −6
3.Solve: 6x − 3 ≤ 69
Answer: x ≤ 12
- Add 3: 6x ≤ 72
- Divide by 6: x ≤ 12
4.Solve: 5x + 7 ≤ −3
Answer: x ≤ −2
- Subtract 7: 5x ≤ −10
- Divide by 5: x ≤ −2
5.Solve: 4x − 5 ≤ −17
Answer: x ≤ −3
- Add 5: 4x ≤ −12
- Divide by 4: x ≤ −3
6.Solve: 5x − 1 < −46
Answer: x < −9
- Add 1: 5x < −45
- Divide by 5: x < −9
7.Solve: 5x − 2 ≥ 3
Answer: x ≥ 1
- Add 2: 5x ≥ 5
- Divide by 5: x ≥ 1
8.Solve: 6x − 12 > 54
Answer: x > 11
- Add 12: 6x > 66
- Divide by 6: x > 11
9.Solve: 4x + 8 ≥ 36
Answer: x ≥ 7
- Subtract 8: 4x ≥ 28
- Divide by 4: x ≥ 7
10.Solve: 2x − 2 ≥ 0
Answer: x ≥ 1
- Add 2: 2x ≥ 2
- Divide by 2: x ≥ 1
11.Solve: 7x + 9 > 37
Answer: x > 4
- Subtract 9: 7x > 28
- Divide by 7: x > 4
12.Solve: 7x + 5 < −58
Answer: x < −9
- Subtract 5: 7x < −63
- Divide by 7: x < −9
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.