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 + 3 < 15
Answer: x < 4
- Subtract 3: 3x < 12
- Divide by 3: x < 4
2.Solve: 6x + 2 > 32
Answer: x > 5
- Subtract 2: 6x > 30
- Divide by 6: x > 5
3.Solve: 7x − 7 ≥ −49
Answer: x ≥ −6
- Add 7: 7x ≥ −42
- Divide by 7: x ≥ −6
4.Solve: 3x − 10 > −25
Answer: x > −5
- Add 10: 3x > −15
- Divide by 3: x > −5
5.Solve: 5x − 7 ≤ 18
Answer: x ≤ 5
- Add 7: 5x ≤ 25
- Divide by 5: x ≤ 5
6.Solve: 3x + 11 > 26
Answer: x > 5
- Subtract 11: 3x > 15
- Divide by 3: x > 5
7.Solve: 3x − 3 ≤ 15
Answer: x ≤ 6
- Add 3: 3x ≤ 18
- Divide by 3: x ≤ 6
8.Solve: 7x − 8 > 48
Answer: x > 8
- Add 8: 7x > 56
- Divide by 7: x > 8
9.Solve: 5x − 10 > −30
Answer: x > −4
- Add 10: 5x > −20
- Divide by 5: x > −4
10.Solve: 3x + 6 > −9
Answer: x > −5
- Subtract 6: 3x > −15
- Divide by 3: x > −5
11.Solve: 7x + 12 ≥ 61
Answer: x ≥ 7
- Subtract 12: 7x ≥ 49
- Divide by 7: x ≥ 7
12.Solve: 7x + 8 ≤ 57
Answer: x ≤ 7
- Subtract 8: 7x ≤ 49
- Divide by 7: 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.