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.
1.6x > 0
Answer: x > 0
- Divide both sides by 6 (positive, so the sign stays): x > 0
2.6x < 24
Answer: x < 4
- Divide both sides by 6 (positive, so the sign stays): x < 4
3.x + 8 > 17
Answer: x > 9
- Subtract 8 on both sides: x > 17 − 8 = 9
4.x − 6 > 4
Answer: x > 10
- Add 6 on both sides: x > 4 + 6 = 10
5.x + 4 > 10
Answer: x > 6
- Subtract 4 on both sides: x > 10 − 4 = 6
6.x + 7 < 12
Answer: x < 5
- Subtract 7 on both sides: x < 12 − 7 = 5
7.7x > 56
Answer: x > 8
- Divide both sides by 7 (positive, so the sign stays): x > 8
8.x − 3 ≥ −10
Answer: x ≥ −7
- Add 3 on both sides: x ≥ −10 + 3 = −7
9.x + 1 > 10
Answer: x > 9
- Subtract 1 on both sides: x > 10 − 1 = 9
10.8x ≥ −8
Answer: x ≥ −1
- Divide both sides by 8 (positive, so the sign stays): x ≥ −1
11.x + 1 < −6
Answer: x < −7
- Subtract 1 on both sides: x < −6 − 1 = −7
12.x − 6 > 1
Answer: x > 7
- Add 6 on both sides: x > 1 + 6 = 7
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.