Year 9 Solving Linear Inequalities Worksheet — Level 2 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 9 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Linear EquationsYear 9 Solving Linear Inequalities Worksheet — Level 2 — Practice Set 3 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 6x + 10 ≥ 28
Answer: x ≥ 3
- Subtract 10: 6x ≥ 18
- Divide by 6: x ≥ 3
2.Solve: 3x − 5 ≤ 28
Answer: x ≤ 11
- Add 5: 3x ≤ 33
- Divide by 3: x ≤ 11
3.Solve: 4x + 1 ≥ −11
Answer: x ≥ −3
- Subtract 1: 4x ≥ −12
- Divide by 4: x ≥ −3
4.Solve: 3x − 11 ≤ −32
Answer: x ≤ −7
- Add 11: 3x ≤ −21
- Divide by 3: x ≤ −7
5.Solve: 3x + 9 ≥ −12
Answer: x ≥ −7
- Subtract 9: 3x ≥ −21
- Divide by 3: x ≥ −7
6.Solve: 6x − 8 ≥ −56
Answer: x ≥ −8
- Add 8: 6x ≥ −48
- Divide by 6: x ≥ −8
7.Solve: 5x − 2 < −42
Answer: x < −8
- Add 2: 5x < −40
- Divide by 5: x < −8
8.Solve: 3x − 5 ≥ 10
Answer: x ≥ 5
- Add 5: 3x ≥ 15
- Divide by 3: x ≥ 5
9.Solve: 6x − 6 > 30
Answer: x > 6
- Add 6: 6x > 36
- Divide by 6: x > 6
10.Solve: 6x − 7 > −7
Answer: x > 0
- Add 7: 6x > 0
- Divide by 6: x > 0
11.Solve: 7x + 4 < 60
Answer: x < 8
- Subtract 4: 7x < 56
- Divide by 7: x < 8
12.Solve: 4x − 8 ≥ −16
Answer: x ≥ −2
- Add 8: 4x ≥ −8
- Divide by 4: x ≥ −2
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.