Year 7 Solving Linear Inequalities Worksheet — Level 2 — Practice Set 4 — 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 4 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 3x − 5 < −5
Answer: x < 0
- Add 5: 3x < 0
- Divide by 3: x < 0
2.Solve: 2x + 4 ≤ −10
Answer: x ≤ −7
- Subtract 4: 2x ≤ −14
- Divide by 2: x ≤ −7
3.Solve: 5x + 11 > 56
Answer: x > 9
- Subtract 11: 5x > 45
- Divide by 5: x > 9
4.Solve: 4x + 3 < −29
Answer: x < −8
- Subtract 3: 4x < −32
- Divide by 4: x < −8
5.Solve: 7x + 12 < −16
Answer: x < −4
- Subtract 12: 7x < −28
- Divide by 7: x < −4
6.Solve: 2x + 3 ≤ 1
Answer: x ≤ −1
- Subtract 3: 2x ≤ −2
- Divide by 2: x ≤ −1
7.Solve: 2x + 6 ≥ −8
Answer: x ≥ −7
- Subtract 6: 2x ≥ −14
- Divide by 2: x ≥ −7
8.Solve: 6x − 10 > 32
Answer: x > 7
- Add 10: 6x > 42
- Divide by 6: x > 7
9.Solve: 6x − 1 ≥ −49
Answer: x ≥ −8
- Add 1: 6x ≥ −48
- Divide by 6: x ≥ −8
10.Solve: 6x + 3 > 21
Answer: x > 3
- Subtract 3: 6x > 18
- Divide by 6: x > 3
11.Solve: 7x + 8 ≤ 71
Answer: x ≤ 9
- Subtract 8: 7x ≤ 63
- Divide by 7: x ≤ 9
12.Solve: 7x + 4 ≥ 88
Answer: x ≥ 12
- Subtract 4: 7x ≥ 84
- Divide by 7: x ≥ 12
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.