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.
1.2x > −8
Answer: x > −4
- Divide both sides by 2 (positive, so the sign stays): x > −4
2.4x ≥ −36
Answer: x ≥ −9
- Divide both sides by 4 (positive, so the sign stays): x ≥ −9
3.4x ≤ 40
Answer: x ≤ 10
- Divide both sides by 4 (positive, so the sign stays): x ≤ 10
4.x + 2 < −6
Answer: x < −8
- Subtract 2 on both sides: x < −6 − 2 = −8
5.x − 2 ≤ −6
Answer: x ≤ −4
- Add 2 on both sides: x ≤ −6 + 2 = −4
6.x − 9 ≥ −7
Answer: x ≥ 2
- Add 9 on both sides: x ≥ −7 + 9 = 2
7.x − 5 ≥ 0
Answer: x ≥ 5
- Add 5 on both sides: x ≥ 0 + 5 = 5
8.9x > 72
Answer: x > 8
- Divide both sides by 9 (positive, so the sign stays): x > 8
9.x + 1 < −6
Answer: x < −7
- Subtract 1 on both sides: x < −6 − 1 = −7
10.x + 8 < 11
Answer: x < 3
- Subtract 8 on both sides: x < 11 − 8 = 3
11.x + 7 ≤ 3
Answer: x ≤ −4
- Subtract 7 on both sides: x ≤ 3 − 7 = −4
12.x + 1 ≥ 4
Answer: x ≥ 3
- Subtract 1 on both sides: x ≥ 4 − 1 = 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.