Year 7 Solving Linear Inequalities Worksheet — Level 1 — Practice Set 2 — 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 2 — Answers
Solve each inequality the same way you would solve an equation.
1.x + 4 ≥ −1
Answer: x ≥ −5
- Subtract 4 on both sides: x ≥ −1 − 4 = −5
2.8x ≤ 72
Answer: x ≤ 9
- Divide both sides by 8 (positive, so the sign stays): x ≤ 9
3.9x ≤ 36
Answer: x ≤ 4
- Divide both sides by 9 (positive, so the sign stays): x ≤ 4
4.x + 9 > 19
Answer: x > 10
- Subtract 9 on both sides: x > 19 − 9 = 10
5.5x < 25
Answer: x < 5
- Divide both sides by 5 (positive, so the sign stays): x < 5
6.x − 5 < 6
Answer: x < 11
- Add 5 on both sides: x < 6 + 5 = 11
7.4x > 36
Answer: x > 9
- Divide both sides by 4 (positive, so the sign stays): x > 9
8.9x ≤ −72
Answer: x ≤ −8
- Divide both sides by 9 (positive, so the sign stays): x ≤ −8
9.8x < 72
Answer: x < 9
- Divide both sides by 8 (positive, so the sign stays): x < 9
10.4x > 12
Answer: x > 3
- Divide both sides by 4 (positive, so the sign stays): x > 3
11.x − 7 ≤ 4
Answer: x ≤ 11
- Add 7 on both sides: x ≤ 4 + 7 = 11
12.2x ≥ −8
Answer: x ≥ −4
- Divide both sides by 2 (positive, so the sign stays): x ≥ −4
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.