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.
1.8x ≤ 96
Answer: x ≤ 12
- Divide both sides by 8 (positive, so the sign stays): x ≤ 12
2.x − 3 > −1
Answer: x > 2
- Add 3 on both sides: x > −1 + 3 = 2
3.x + 7 > 14
Answer: x > 7
- Subtract 7 on both sides: x > 14 − 7 = 7
4.x − 1 > 8
Answer: x > 9
- Add 1 on both sides: x > 8 + 1 = 9
5.x − 9 ≤ −8
Answer: x ≤ 1
- Add 9 on both sides: x ≤ −8 + 9 = 1
6.7x < −42
Answer: x < −6
- Divide both sides by 7 (positive, so the sign stays): x < −6
7.7x > −49
Answer: x > −7
- Divide both sides by 7 (positive, so the sign stays): x > −7
8.x + 9 ≤ 20
Answer: x ≤ 11
- Subtract 9 on both sides: x ≤ 20 − 9 = 11
9.x − 8 ≥ −7
Answer: x ≥ 1
- Add 8 on both sides: x ≥ −7 + 8 = 1
10.3x > −12
Answer: x > −4
- Divide both sides by 3 (positive, so the sign stays): x > −4
11.x − 8 < −5
Answer: x < 3
- Add 8 on both sides: x < −5 + 8 = 3
12.x − 8 ≥ −11
Answer: x ≥ −3
- Add 8 on both sides: x ≥ −11 + 8 = −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.