Year 7 Solving Linear Inequalities Worksheet — Level 1 — Practice Set 3 — 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 3 — Answers
Solve each inequality the same way you would solve an equation.
1.x + 5 < 6
Answer: x < 1
- Subtract 5 on both sides: x < 6 − 5 = 1
2.x + 1 ≥ 5
Answer: x ≥ 4
- Subtract 1 on both sides: x ≥ 5 − 1 = 4
3.x + 7 ≤ 15
Answer: x ≤ 8
- Subtract 7 on both sides: x ≤ 15 − 7 = 8
4.x + 5 < 4
Answer: x < −1
- Subtract 5 on both sides: x < 4 − 5 = −1
5.x + 5 ≥ 5
Answer: x ≥ 0
- Subtract 5 on both sides: x ≥ 5 − 5 = 0
6.x + 4 ≥ 9
Answer: x ≥ 5
- Subtract 4 on both sides: x ≥ 9 − 4 = 5
7.x − 5 ≤ −13
Answer: x ≤ −8
- Add 5 on both sides: x ≤ −13 + 5 = −8
8.x + 9 > 1
Answer: x > −8
- Subtract 9 on both sides: x > 1 − 9 = −8
9.x − 8 ≥ −16
Answer: x ≥ −8
- Add 8 on both sides: x ≥ −16 + 8 = −8
10.7x < 49
Answer: x < 7
- Divide both sides by 7 (positive, so the sign stays): x < 7
11.6x ≥ −30
Answer: x ≥ −5
- Divide both sides by 6 (positive, so the sign stays): x ≥ −5
12.8x ≤ −16
Answer: x ≤ −2
- Divide both sides by 8 (positive, so the sign stays): x ≤ −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.