Year 7 Solving Linear Inequalities Worksheet — Level 2 — 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 2 — Practice Set 3 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 3x − 10 < −13
Answer: x < −1
- Add 10: 3x < −3
- Divide by 3: x < −1
2.Solve: 5x − 3 > 37
Answer: x > 8
- Add 3: 5x > 40
- Divide by 5: x > 8
3.Solve: 7x + 4 ≥ −38
Answer: x ≥ −6
- Subtract 4: 7x ≥ −42
- Divide by 7: x ≥ −6
4.Solve: 6x − 9 ≥ −3
Answer: x ≥ 1
- Add 9: 6x ≥ 6
- Divide by 6: x ≥ 1
5.Solve: 6x − 2 ≥ −32
Answer: x ≥ −5
- Add 2: 6x ≥ −30
- Divide by 6: x ≥ −5
6.Solve: 2x + 4 ≥ −14
Answer: x ≥ −9
- Subtract 4: 2x ≥ −18
- Divide by 2: x ≥ −9
7.Solve: 5x − 6 ≥ 24
Answer: x ≥ 6
- Add 6: 5x ≥ 30
- Divide by 5: x ≥ 6
8.Solve: 3x − 4 < 11
Answer: x < 5
- Add 4: 3x < 15
- Divide by 3: x < 5
9.Solve: 5x + 4 ≤ −36
Answer: x ≤ −8
- Subtract 4: 5x ≤ −40
- Divide by 5: x ≤ −8
10.Solve: 6x + 7 ≥ −47
Answer: x ≥ −9
- Subtract 7: 6x ≥ −54
- Divide by 6: x ≥ −9
11.Solve: 7x − 5 ≥ −68
Answer: x ≥ −9
- Add 5: 7x ≥ −63
- Divide by 7: x ≥ −9
12.Solve: 5x − 12 ≥ 18
Answer: x ≥ 6
- Add 12: 5x ≥ 30
- Divide by 5: x ≥ 6
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.