Year 9 Solving Linear Inequalities Worksheet — Level 2 — 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 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 3x − 1 > −19
Answer: x > −6
- Add 1: 3x > −18
- Divide by 3: x > −6
2.Solve: 6x + 10 ≥ 40
Answer: x ≥ 5
- Subtract 10: 6x ≥ 30
- Divide by 6: x ≥ 5
3.Solve: 5x − 5 > 5
Answer: x > 2
- Add 5: 5x > 10
- Divide by 5: x > 2
4.Solve: 3x − 8 ≥ −26
Answer: x ≥ −6
- Add 8: 3x ≥ −18
- Divide by 3: x ≥ −6
5.Solve: 4x + 6 ≥ 42
Answer: x ≥ 9
- Subtract 6: 4x ≥ 36
- Divide by 4: x ≥ 9
6.Solve: 4x − 2 > 34
Answer: x > 9
- Add 2: 4x > 36
- Divide by 4: x > 9
7.Solve: 2x − 6 < −22
Answer: x < −8
- Add 6: 2x < −16
- Divide by 2: x < −8
8.Solve: 5x + 9 ≤ 49
Answer: x ≤ 8
- Subtract 9: 5x ≤ 40
- Divide by 5: x ≤ 8
9.Solve: 7x + 2 ≤ 79
Answer: x ≤ 11
- Subtract 2: 7x ≤ 77
- Divide by 7: x ≤ 11
10.Solve: 2x + 11 ≥ 29
Answer: x ≥ 9
- Subtract 11: 2x ≥ 18
- Divide by 2: x ≥ 9
11.Solve: 5x + 8 ≤ −7
Answer: x ≤ −3
- Subtract 8: 5x ≤ −15
- Divide by 5: x ≤ −3
12.Solve: 3x − 5 ≤ −26
Answer: x ≤ −7
- Add 5: 3x ≤ −21
- Divide by 3: 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.