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.
1.2x ≤ 6
Answer: x ≤ 3
- Divide both sides by 2 (positive, so the sign stays): x ≤ 3
2.x + 4 ≥ 2
Answer: x ≥ −2
- Subtract 4 on both sides: x ≥ 2 − 4 = −2
3.9x > −54
Answer: x > −6
- Divide both sides by 9 (positive, so the sign stays): x > −6
4.4x ≤ −8
Answer: x ≤ −2
- Divide both sides by 4 (positive, so the sign stays): x ≤ −2
5.x + 4 ≤ 6
Answer: x ≤ 2
- Subtract 4 on both sides: x ≤ 6 − 4 = 2
6.9x ≤ 63
Answer: x ≤ 7
- Divide both sides by 9 (positive, so the sign stays): x ≤ 7
7.6x > 0
Answer: x > 0
- Divide both sides by 6 (positive, so the sign stays): x > 0
8.x + 5 ≤ 3
Answer: x ≤ −2
- Subtract 5 on both sides: x ≤ 3 − 5 = −2
9.9x ≥ −36
Answer: x ≥ −4
- Divide both sides by 9 (positive, so the sign stays): x ≥ −4
10.7x ≥ −42
Answer: x ≥ −6
- Divide both sides by 7 (positive, so the sign stays): x ≥ −6
11.x + 4 > 3
Answer: x > −1
- Subtract 4 on both sides: x > 3 − 4 = −1
12.2x < −14
Answer: x < −7
- Divide both sides by 2 (positive, so the sign stays): x < −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.