Year 9 Solving Linear Inequalities Worksheet — Level 2 — Practice Set 4 — 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 4 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 3x + 8 < −19
Answer: x < −9
- Subtract 8: 3x < −27
- Divide by 3: x < −9
2.Solve: 3x − 3 > 0
Answer: x > 1
- Add 3: 3x > 3
- Divide by 3: x > 1
3.Solve: 4x + 7 < −9
Answer: x < −4
- Subtract 7: 4x < −16
- Divide by 4: x < −4
4.Solve: 4x − 3 < 17
Answer: x < 5
- Add 3: 4x < 20
- Divide by 4: x < 5
5.Solve: 2x − 6 ≥ −18
Answer: x ≥ −6
- Add 6: 2x ≥ −12
- Divide by 2: x ≥ −6
6.Solve: 5x + 1 ≤ −24
Answer: x ≤ −5
- Subtract 1: 5x ≤ −25
- Divide by 5: x ≤ −5
7.Solve: 4x + 5 ≥ −31
Answer: x ≥ −9
- Subtract 5: 4x ≥ −36
- Divide by 4: x ≥ −9
8.Solve: 5x − 10 < −30
Answer: x < −4
- Add 10: 5x < −20
- Divide by 5: x < −4
9.Solve: 3x + 9 < 36
Answer: x < 9
- Subtract 9: 3x < 27
- Divide by 3: x < 9
10.Solve: 6x − 8 ≤ −38
Answer: x ≤ −5
- Add 8: 6x ≤ −30
- Divide by 6: x ≤ −5
11.Solve: 6x − 12 ≥ 30
Answer: x ≥ 7
- Add 12: 6x ≥ 42
- Divide by 6: x ≥ 7
12.Solve: 2x − 9 ≤ −15
Answer: x ≤ −3
- Add 9: 2x ≤ −6
- Divide by 2: x ≤ −3
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.