Year 9 Solving Linear Inequalities Worksheet — Level 1 — 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 1 — Practice Set 4 — Answers
Solve each inequality the same way you would solve an equation.
1.9x ≥ 0
Answer: x ≥ 0
- Divide both sides by 9 (positive, so the sign stays): x ≥ 0
2.5x ≥ −45
Answer: x ≥ −9
- Divide both sides by 5 (positive, so the sign stays): x ≥ −9
3.x − 4 < −9
Answer: x < −5
- Add 4 on both sides: x < −9 + 4 = −5
4.6x < 0
Answer: x < 0
- Divide both sides by 6 (positive, so the sign stays): x < 0
5.2x ≤ −8
Answer: x ≤ −4
- Divide both sides by 2 (positive, so the sign stays): x ≤ −4
6.5x > 0
Answer: x > 0
- Divide both sides by 5 (positive, so the sign stays): x > 0
7.x + 1 > 5
Answer: x > 4
- Subtract 1 on both sides: x > 5 − 1 = 4
8.7x < 0
Answer: x < 0
- Divide both sides by 7 (positive, so the sign stays): x < 0
9.5x ≤ −25
Answer: x ≤ −5
- Divide both sides by 5 (positive, so the sign stays): x ≤ −5
10.9x > −18
Answer: x > −2
- Divide both sides by 9 (positive, so the sign stays): x > −2
11.7x ≥ 0
Answer: x ≥ 0
- Divide both sides by 7 (positive, so the sign stays): x ≥ 0
12.3x ≤ −9
Answer: x ≤ −3
- Divide both sides by 3 (positive, so the sign stays): x ≤ −3
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.