Year 9 Solving Linear Inequalities Worksheet — Level 1 — 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 — 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 ≥ 48
Answer: x ≥ 6
- Divide both sides by 8 (positive, so the sign stays): x ≥ 6
3.6x ≤ 36
Answer: x ≤ 6
- Divide both sides by 6 (positive, so the sign stays): x ≤ 6
4.x − 2 > 3
Answer: x > 5
- Add 2 on both sides: x > 3 + 2 = 5
5.7x ≥ 49
Answer: x ≥ 7
- Divide both sides by 7 (positive, so the sign stays): x ≥ 7
6.x + 8 < 15
Answer: x < 7
- Subtract 8 on both sides: x < 15 − 8 = 7
7.x − 4 ≥ −4
Answer: x ≥ 0
- Add 4 on both sides: x ≥ −4 + 4 = 0
8.2x ≤ −4
Answer: x ≤ −2
- Divide both sides by 2 (positive, so the sign stays): x ≤ −2
9.8x ≤ −56
Answer: x ≤ −7
- Divide both sides by 8 (positive, so the sign stays): x ≤ −7
10.2x ≥ −14
Answer: x ≥ −7
- Divide both sides by 2 (positive, so the sign stays): x ≥ −7
11.9x ≥ 9
Answer: x ≥ 1
- Divide both sides by 9 (positive, so the sign stays): x ≥ 1
12.5x ≥ 5
Answer: x ≥ 1
- Divide both sides by 5 (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.