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.
1.4x ≥ 8
Answer: x ≥ 2
- Divide both sides by 4 (positive, so the sign stays): x ≥ 2
2.2x < −8
Answer: x < −4
- Divide both sides by 2 (positive, so the sign stays): x < −4
3.5x < 5
Answer: x < 1
- Divide both sides by 5 (positive, so the sign stays): x < 1
4.x − 2 > −11
Answer: x > −9
- Add 2 on both sides: x > −11 + 2 = −9
5.4x > −8
Answer: x > −2
- Divide both sides by 4 (positive, so the sign stays): x > −2
6.x − 8 ≥ −8
Answer: x ≥ 0
- Add 8 on both sides: x ≥ −8 + 8 = 0
7.9x > 72
Answer: x > 8
- Divide both sides by 9 (positive, so the sign stays): x > 8
8.x − 9 ≥ −17
Answer: x ≥ −8
- Add 9 on both sides: x ≥ −17 + 9 = −8
9.x − 2 ≥ −7
Answer: x ≥ −5
- Add 2 on both sides: x ≥ −7 + 2 = −5
10.x + 9 < 20
Answer: x < 11
- Subtract 9 on both sides: x < 20 − 9 = 11
11.x + 5 > 3
Answer: x > −2
- Subtract 5 on both sides: x > 3 − 5 = −2
12.9x > 9
Answer: x > 1
- Divide both sides by 9 (positive, so the sign stays): x > 1
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.