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.x − 6 ≤ −12
Answer: x ≤ −6
- Add 6 on both sides: x ≤ −12 + 6 = −6
2.3x ≥ 6
Answer: x ≥ 2
- Divide both sides by 3 (positive, so the sign stays): x ≥ 2
3.x + 7 ≤ 14
Answer: x ≤ 7
- Subtract 7 on both sides: x ≤ 14 − 7 = 7
4.5x ≤ −35
Answer: x ≤ −7
- Divide both sides by 5 (positive, so the sign stays): x ≤ −7
5.6x ≤ −12
Answer: x ≤ −2
- Divide both sides by 6 (positive, so the sign stays): x ≤ −2
6.5x ≥ 30
Answer: x ≥ 6
- Divide both sides by 5 (positive, so the sign stays): x ≥ 6
7.9x > −45
Answer: x > −5
- Divide both sides by 9 (positive, so the sign stays): x > −5
8.4x ≥ 20
Answer: x ≥ 5
- Divide both sides by 4 (positive, so the sign stays): x ≥ 5
9.x + 6 ≥ 0
Answer: x ≥ −6
- Subtract 6 on both sides: x ≥ 0 − 6 = −6
10.5x ≤ 45
Answer: x ≤ 9
- Divide both sides by 5 (positive, so the sign stays): x ≤ 9
11.5x ≥ 60
Answer: x ≥ 12
- Divide both sides by 5 (positive, so the sign stays): x ≥ 12
12.x − 3 ≥ −3
Answer: x ≥ 0
- Add 3 on both sides: x ≥ −3 + 3 = 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.