Year 7 Solving Linear Inequalities Worksheet — Level 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 2 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 4x + 7 ≤ 3
Answer: x ≤ −1
- Subtract 7: 4x ≤ −4
- Divide by 4: x ≤ −1
2.Solve: 5x + 7 < 52
Answer: x < 9
- Subtract 7: 5x < 45
- Divide by 5: x < 9
3.Solve: 4x + 7 < 43
Answer: x < 9
- Subtract 7: 4x < 36
- Divide by 4: x < 9
4.Solve: 2x + 6 < 6
Answer: x < 0
- Subtract 6: 2x < 0
- Divide by 2: x < 0
5.Solve: 7x + 3 < −53
Answer: x < −8
- Subtract 3: 7x < −56
- Divide by 7: x < −8
6.Solve: 6x − 10 < −28
Answer: x < −3
- Add 10: 6x < −18
- Divide by 6: x < −3
7.Solve: 5x + 1 < 11
Answer: x < 2
- Subtract 1: 5x < 10
- Divide by 5: x < 2
8.Solve: 2x − 5 ≥ −19
Answer: x ≥ −7
- Add 5: 2x ≥ −14
- Divide by 2: x ≥ −7
9.Solve: 7x + 11 ≤ −24
Answer: x ≤ −5
- Subtract 11: 7x ≤ −35
- Divide by 7: x ≤ −5
10.Solve: 2x + 12 ≥ 12
Answer: x ≥ 0
- Subtract 12: 2x ≥ 0
- Divide by 2: x ≥ 0
11.Solve: 6x − 8 ≤ −32
Answer: x ≤ −4
- Add 8: 6x ≤ −24
- Divide by 6: x ≤ −4
12.Solve: 5x − 11 < 4
Answer: x < 3
- Add 11: 5x < 15
- Divide by 5: x < 3
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.
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