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: 2x + 6 ≤ 20
Answer: x ≤ 7
- Subtract 6: 2x ≤ 14
- Divide by 2: x ≤ 7
2.Solve: 4x + 2 ≤ −22
Answer: x ≤ −6
- Subtract 2: 4x ≤ −24
- Divide by 4: x ≤ −6
3.Solve: 7x + 1 > 29
Answer: x > 4
- Subtract 1: 7x > 28
- Divide by 7: x > 4
4.Solve: 5x − 7 > 3
Answer: x > 2
- Add 7: 5x > 10
- Divide by 5: x > 2
5.Solve: 4x + 3 ≥ −1
Answer: x ≥ −1
- Subtract 3: 4x ≥ −4
- Divide by 4: x ≥ −1
6.Solve: 5x − 8 < 42
Answer: x < 10
- Add 8: 5x < 50
- Divide by 5: x < 10
7.Solve: 5x − 10 < 30
Answer: x < 8
- Add 10: 5x < 40
- Divide by 5: x < 8
8.Solve: 4x − 10 ≥ −10
Answer: x ≥ 0
- Add 10: 4x ≥ 0
- Divide by 4: x ≥ 0
9.Solve: 3x − 6 ≥ −30
Answer: x ≥ −8
- Add 6: 3x ≥ −24
- Divide by 3: x ≥ −8
10.Solve: 3x − 12 ≤ −30
Answer: x ≤ −6
- Add 12: 3x ≤ −18
- Divide by 3: x ≤ −6
11.Solve: 2x − 2 > 18
Answer: x > 10
- Add 2: 2x > 20
- Divide by 2: x > 10
12.Solve: 3x − 10 ≥ −7
Answer: x ≥ 1
- Add 10: 3x ≥ 3
- Divide by 3: 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.