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: 2x − 7 < 1
Answer: x < 4
- Add 7: 2x < 8
- Divide by 2: x < 4
2.Solve: 2x + 2 < −16
Answer: x < −9
- Subtract 2: 2x < −18
- Divide by 2: x < −9
3.Solve: 3x − 5 > −5
Answer: x > 0
- Add 5: 3x > 0
- Divide by 3: x > 0
4.Solve: 3x − 9 ≥ 18
Answer: x ≥ 9
- Add 9: 3x ≥ 27
- Divide by 3: x ≥ 9
5.Solve: 7x − 5 ≥ 72
Answer: x ≥ 11
- Add 5: 7x ≥ 77
- Divide by 7: x ≥ 11
6.Solve: 3x + 3 > 30
Answer: x > 9
- Subtract 3: 3x > 27
- Divide by 3: x > 9
7.Solve: 6x + 12 > 48
Answer: x > 6
- Subtract 12: 6x > 36
- Divide by 6: x > 6
8.Solve: 6x − 1 ≥ 11
Answer: x ≥ 2
- Add 1: 6x ≥ 12
- Divide by 6: x ≥ 2
9.Solve: 3x + 7 > 19
Answer: x > 4
- Subtract 7: 3x > 12
- Divide by 3: x > 4
10.Solve: 5x + 9 > 54
Answer: x > 9
- Subtract 9: 5x > 45
- Divide by 5: x > 9
11.Solve: 5x + 1 < −34
Answer: x < −7
- Subtract 1: 5x < −35
- Divide by 5: x < −7
12.Solve: 6x − 4 ≥ 20
Answer: x ≥ 4
- Add 4: 6x ≥ 24
- Divide by 6: x ≥ 4
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.