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: 6x − 11 ≥ 1
Answer: x ≥ 2
- Add 11: 6x ≥ 12
- Divide by 6: x ≥ 2
2.Solve: 6x − 10 < −34
Answer: x < −4
- Add 10: 6x < −24
- Divide by 6: x < −4
3.Solve: 5x + 4 < −1
Answer: x < −1
- Subtract 4: 5x < −5
- Divide by 5: x < −1
4.Solve: 4x − 3 ≤ 37
Answer: x ≤ 10
- Add 3: 4x ≤ 40
- Divide by 4: x ≤ 10
5.Solve: 7x + 9 ≥ −5
Answer: x ≥ −2
- Subtract 9: 7x ≥ −14
- Divide by 7: x ≥ −2
6.Solve: 6x + 7 ≥ −47
Answer: x ≥ −9
- Subtract 7: 6x ≥ −54
- Divide by 6: x ≥ −9
7.Solve: 7x + 9 ≥ −54
Answer: x ≥ −9
- Subtract 9: 7x ≥ −63
- Divide by 7: x ≥ −9
8.Solve: 6x − 7 > −43
Answer: x > −6
- Add 7: 6x > −36
- Divide by 6: x > −6
9.Solve: 4x − 5 < 39
Answer: x < 11
- Add 5: 4x < 44
- Divide by 4: x < 11
10.Solve: 3x − 5 < 13
Answer: x < 6
- Add 5: 3x < 18
- Divide by 3: x < 6
11.Solve: 3x − 10 > −25
Answer: x > −5
- Add 10: 3x > −15
- Divide by 3: x > −5
12.Solve: 4x + 4 ≥ −4
Answer: x ≥ −2
- Subtract 4: 4x ≥ −8
- Divide by 4: 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.