Year 10 Solving Linear Inequalities Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 10 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Linear EquationsYear 10 Solving Linear Inequalities Worksheet — Level 1 — Practice Set 2 — Answers
Solve each inequality the same way you would solve an equation.
1.8x ≥ −16
Answer: x ≥ −2
- Divide both sides by 8 (positive, so the sign stays): x ≥ −2
2.6x ≥ 0
Answer: x ≥ 0
- Divide both sides by 6 (positive, so the sign stays): x ≥ 0
3.x + 4 ≤ 16
Answer: x ≤ 12
- Subtract 4 on both sides: x ≤ 16 − 4 = 12
4.3x ≤ −24
Answer: x ≤ −8
- Divide both sides by 3 (positive, so the sign stays): x ≤ −8
5.x + 9 ≥ 20
Answer: x ≥ 11
- Subtract 9 on both sides: x ≥ 20 − 9 = 11
6.x + 5 ≤ 16
Answer: x ≤ 11
- Subtract 5 on both sides: x ≤ 16 − 5 = 11
7.8x ≤ 96
Answer: x ≤ 12
- Divide both sides by 8 (positive, so the sign stays): x ≤ 12
8.7x < −35
Answer: x < −5
- Divide both sides by 7 (positive, so the sign stays): x < −5
9.x + 1 > 0
Answer: x > −1
- Subtract 1 on both sides: x > 0 − 1 = −1
10.5x > 40
Answer: x > 8
- Divide both sides by 5 (positive, so the sign stays): x > 8
11.5x ≤ −40
Answer: x ≤ −8
- Divide both sides by 5 (positive, so the sign stays): x ≤ −8
12.x − 8 ≥ −7
Answer: x ≥ 1
- Add 8 on both sides: x ≥ −7 + 8 = 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.