Year 9 Solving Linear Inequalities Worksheet — Level 2 — Practice Set 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 — Practice Set 2 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 7x − 3 ≤ 67
Answer: x ≤ 10
- Add 3: 7x ≤ 70
- Divide by 7: x ≤ 10
2.Solve: 3x + 10 < −11
Answer: x < −7
- Subtract 10: 3x < −21
- Divide by 3: x < −7
3.Solve: 7x + 3 < −11
Answer: x < −2
- Subtract 3: 7x < −14
- Divide by 7: x < −2
4.Solve: 3x + 1 > 1
Answer: x > 0
- Subtract 1: 3x > 0
- Divide by 3: x > 0
5.Solve: 2x + 10 < 14
Answer: x < 2
- Subtract 10: 2x < 4
- Divide by 2: x < 2
6.Solve: 5x − 6 < 54
Answer: x < 12
- Add 6: 5x < 60
- Divide by 5: x < 12
7.Solve: 2x + 1 ≤ −5
Answer: x ≤ −3
- Subtract 1: 2x ≤ −6
- Divide by 2: x ≤ −3
8.Solve: 5x − 1 ≥ 4
Answer: x ≥ 1
- Add 1: 5x ≥ 5
- Divide by 5: x ≥ 1
9.Solve: 7x − 9 ≥ −37
Answer: x ≥ −4
- Add 9: 7x ≥ −28
- Divide by 7: x ≥ −4
10.Solve: 3x − 2 > −23
Answer: x > −7
- Add 2: 3x > −21
- Divide by 3: x > −7
11.Solve: 3x − 5 > −14
Answer: x > −3
- Add 5: 3x > −9
- Divide by 3: x > −3
12.Solve: 6x + 2 ≤ 32
Answer: x ≤ 5
- Subtract 2: 6x ≤ 30
- Divide by 6: x ≤ 5
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.