Year 9 Solving Linear Inequalities Worksheet — Level 1 — 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 1 — Practice Set 2 — Answers
Solve each inequality the same way you would solve an equation.
1.8x < 0
Answer: x < 0
- Divide both sides by 8 (positive, so the sign stays): x < 0
2.8x ≤ 40
Answer: x ≤ 5
- Divide both sides by 8 (positive, so the sign stays): x ≤ 5
3.x + 4 > 7
Answer: x > 3
- Subtract 4 on both sides: x > 7 − 4 = 3
4.x − 9 < −9
Answer: x < 0
- Add 9 on both sides: x < −9 + 9 = 0
5.6x ≥ −54
Answer: x ≥ −9
- Divide both sides by 6 (positive, so the sign stays): x ≥ −9
6.4x ≥ 32
Answer: x ≥ 8
- Divide both sides by 4 (positive, so the sign stays): x ≥ 8
7.x + 4 ≤ 9
Answer: x ≤ 5
- Subtract 4 on both sides: x ≤ 9 − 4 = 5
8.x + 7 ≤ 4
Answer: x ≤ −3
- Subtract 7 on both sides: x ≤ 4 − 7 = −3
9.5x ≥ 50
Answer: x ≥ 10
- Divide both sides by 5 (positive, so the sign stays): x ≥ 10
10.x + 3 < 8
Answer: x < 5
- Subtract 3 on both sides: x < 8 − 3 = 5
11.2x > −16
Answer: x > −8
- Divide both sides by 2 (positive, so the sign stays): x > −8
12.x − 9 ≥ −9
Answer: x ≥ 0
- Add 9 on both sides: x ≥ −9 + 9 = 0
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.