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: 6x + 6 ≤ 36
Answer: x ≤ 5
- Subtract 6: 6x ≤ 30
- Divide by 6: x ≤ 5
2.Solve: 4x − 2 ≥ 42
Answer: x ≥ 11
- Add 2: 4x ≥ 44
- Divide by 4: x ≥ 11
3.Solve: 5x + 5 ≥ 35
Answer: x ≥ 6
- Subtract 5: 5x ≥ 30
- Divide by 5: x ≥ 6
4.Solve: 4x − 2 < 34
Answer: x < 9
- Add 2: 4x < 36
- Divide by 4: x < 9
5.Solve: 3x + 10 ≤ 13
Answer: x ≤ 1
- Subtract 10: 3x ≤ 3
- Divide by 3: x ≤ 1
6.Solve: 4x − 11 ≥ −19
Answer: x ≥ −2
- Add 11: 4x ≥ −8
- Divide by 4: x ≥ −2
7.Solve: 6x + 1 < −17
Answer: x < −3
- Subtract 1: 6x < −18
- Divide by 6: x < −3
8.Solve: 2x − 6 < 12
Answer: x < 9
- Add 6: 2x < 18
- Divide by 2: x < 9
9.Solve: 3x − 6 ≥ 9
Answer: x ≥ 5
- Add 6: 3x ≥ 15
- Divide by 3: x ≥ 5
10.Solve: 7x − 7 ≥ 35
Answer: x ≥ 6
- Add 7: 7x ≥ 42
- Divide by 7: x ≥ 6
11.Solve: 3x − 10 < −28
Answer: x < −6
- Add 10: 3x < −18
- Divide by 3: x < −6
12.Solve: 4x + 7 ≥ −13
Answer: x ≥ −5
- Subtract 7: 4x ≥ −20
- Divide by 4: 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.