Year 9 Solving Linear Inequalities Worksheet — Level 1 — Practice Set 3 — 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 3 — Answers
Solve each inequality the same way you would solve an equation.
1.5x > 25
Answer: x > 5
- Divide both sides by 5 (positive, so the sign stays): x > 5
2.x − 5 ≤ −3
Answer: x ≤ 2
- Add 5 on both sides: x ≤ −3 + 5 = 2
3.3x ≥ 24
Answer: x ≥ 8
- Divide both sides by 3 (positive, so the sign stays): x ≥ 8
4.4x ≥ 8
Answer: x ≥ 2
- Divide both sides by 4 (positive, so the sign stays): x ≥ 2
5.x + 6 ≥ −1
Answer: x ≥ −7
- Subtract 6 on both sides: x ≥ −1 − 6 = −7
6.x + 2 < −6
Answer: x < −8
- Subtract 2 on both sides: x < −6 − 2 = −8
7.x − 3 ≥ −9
Answer: x ≥ −6
- Add 3 on both sides: x ≥ −9 + 3 = −6
8.x − 5 ≥ 0
Answer: x ≥ 5
- Add 5 on both sides: x ≥ 0 + 5 = 5
9.3x > −21
Answer: x > −7
- Divide both sides by 3 (positive, so the sign stays): x > −7
10.9x < −63
Answer: x < −7
- Divide both sides by 9 (positive, so the sign stays): x < −7
11.x + 1 < 8
Answer: x < 7
- Subtract 1 on both sides: x < 8 − 1 = 7
12.5x ≤ −15
Answer: x ≤ −3
- Divide both sides by 5 (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.