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: 3x − 8 > −11
Answer: x > −1
- Add 8: 3x > −3
- Divide by 3: x > −1
2.Solve: 5x − 4 ≥ 51
Answer: x ≥ 11
- Add 4: 5x ≥ 55
- Divide by 5: x ≥ 11
3.Solve: 3x + 8 ≤ −1
Answer: x ≤ −3
- Subtract 8: 3x ≤ −9
- Divide by 3: x ≤ −3
4.Solve: 3x − 2 ≥ −8
Answer: x ≥ −2
- Add 2: 3x ≥ −6
- Divide by 3: x ≥ −2
5.Solve: 6x + 1 ≤ −41
Answer: x ≤ −7
- Subtract 1: 6x ≤ −42
- Divide by 6: x ≤ −7
6.Solve: 2x + 1 > 15
Answer: x > 7
- Subtract 1: 2x > 14
- Divide by 2: x > 7
7.Solve: 7x + 10 ≤ 17
Answer: x ≤ 1
- Subtract 10: 7x ≤ 7
- Divide by 7: x ≤ 1
8.Solve: 5x + 3 > 8
Answer: x > 1
- Subtract 3: 5x > 5
- Divide by 5: x > 1
9.Solve: 3x + 12 ≥ 39
Answer: x ≥ 9
- Subtract 12: 3x ≥ 27
- Divide by 3: x ≥ 9
10.Solve: 7x + 5 ≥ 54
Answer: x ≥ 7
- Subtract 5: 7x ≥ 49
- Divide by 7: x ≥ 7
11.Solve: 7x − 8 < −57
Answer: x < −7
- Add 8: 7x < −49
- Divide by 7: x < −7
12.Solve: 3x − 4 ≤ 20
Answer: x ≤ 8
- Add 4: 3x ≤ 24
- Divide by 3: x ≤ 8
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.