Year 7 Solving Linear Inequalities Worksheet — Level 1 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 7 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Linear EquationsYear 7 Solving Linear Inequalities Worksheet — Level 1 — Practice Set 4 — Answers
Solve each inequality the same way you would solve an equation.
1.x + 7 ≤ 1
Answer: x ≤ −6
- Subtract 7 on both sides: x ≤ 1 − 7 = −6
2.7x < −21
Answer: x < −3
- Divide both sides by 7 (positive, so the sign stays): x < −3
3.7x > 35
Answer: x > 5
- Divide both sides by 7 (positive, so the sign stays): x > 5
4.x − 5 < −5
Answer: x < 0
- Add 5 on both sides: x < −5 + 5 = 0
5.8x ≥ −8
Answer: x ≥ −1
- Divide both sides by 8 (positive, so the sign stays): x ≥ −1
6.5x > −5
Answer: x > −1
- Divide both sides by 5 (positive, so the sign stays): x > −1
7.3x ≥ −3
Answer: x ≥ −1
- Divide both sides by 3 (positive, so the sign stays): x ≥ −1
8.x − 5 > −4
Answer: x > 1
- Add 5 on both sides: x > −4 + 5 = 1
9.x − 3 ≥ −8
Answer: x ≥ −5
- Add 3 on both sides: x ≥ −8 + 3 = −5
10.x + 1 ≥ 8
Answer: x ≥ 7
- Subtract 1 on both sides: x ≥ 8 − 1 = 7
11.x − 7 < −2
Answer: x < 5
- Add 7 on both sides: x < −2 + 7 = 5
12.x + 8 > 10
Answer: x > 2
- Subtract 8 on both sides: x > 10 − 8 = 2
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.