Year 9 Solving Linear Inequalities Worksheet — Level 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 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 2x − 2 > 2
Answer: x > 2
- Add 2: 2x > 4
- Divide by 2: x > 2
2.Solve: 3x + 7 ≤ 34
Answer: x ≤ 9
- Subtract 7: 3x ≤ 27
- Divide by 3: x ≤ 9
3.Solve: 5x − 7 > −37
Answer: x > −6
- Add 7: 5x > −30
- Divide by 5: x > −6
4.Solve: 3x + 7 < −11
Answer: x < −6
- Subtract 7: 3x < −18
- Divide by 3: x < −6
5.Solve: 6x + 8 ≤ −28
Answer: x ≤ −6
- Subtract 8: 6x ≤ −36
- Divide by 6: x ≤ −6
6.Solve: 3x + 2 > 17
Answer: x > 5
- Subtract 2: 3x > 15
- Divide by 3: x > 5
7.Solve: 2x + 7 > 5
Answer: x > −1
- Subtract 7: 2x > −2
- Divide by 2: x > −1
8.Solve: 7x + 12 > 61
Answer: x > 7
- Subtract 12: 7x > 49
- Divide by 7: x > 7
9.Solve: 2x + 11 ≤ 13
Answer: x ≤ 1
- Subtract 11: 2x ≤ 2
- Divide by 2: x ≤ 1
10.Solve: 3x + 8 < 17
Answer: x < 3
- Subtract 8: 3x < 9
- Divide by 3: x < 3
11.Solve: 2x + 1 ≥ 11
Answer: x ≥ 5
- Subtract 1: 2x ≥ 10
- Divide by 2: x ≥ 5
12.Solve: 4x + 8 ≥ 44
Answer: x ≥ 9
- Subtract 8: 4x ≥ 36
- Divide by 4: x ≥ 9
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.