Year 7 Solving Linear Inequalities Worksheet — Level 2 — Practice Set 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 — Practice Set 2 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 3x − 1 > 26
Answer: x > 9
- Add 1: 3x > 27
- Divide by 3: x > 9
2.Solve: 6x − 9 < 21
Answer: x < 5
- Add 9: 6x < 30
- Divide by 6: x < 5
3.Solve: 6x + 8 ≤ −10
Answer: x ≤ −3
- Subtract 8: 6x ≤ −18
- Divide by 6: x ≤ −3
4.Solve: 5x − 8 ≥ −53
Answer: x ≥ −9
- Add 8: 5x ≥ −45
- Divide by 5: x ≥ −9
5.Solve: 7x − 1 ≤ −15
Answer: x ≤ −2
- Add 1: 7x ≤ −14
- Divide by 7: x ≤ −2
6.Solve: 4x − 11 ≤ −23
Answer: x ≤ −3
- Add 11: 4x ≤ −12
- Divide by 4: x ≤ −3
7.Solve: 5x + 8 ≤ 43
Answer: x ≤ 7
- Subtract 8: 5x ≤ 35
- Divide by 5: x ≤ 7
8.Solve: 4x + 9 ≥ 25
Answer: x ≥ 4
- Subtract 9: 4x ≥ 16
- Divide by 4: x ≥ 4
9.Solve: 5x + 11 ≥ −4
Answer: x ≥ −3
- Subtract 11: 5x ≥ −15
- Divide by 5: x ≥ −3
10.Solve: 2x − 9 ≤ 7
Answer: x ≤ 8
- Add 9: 2x ≤ 16
- Divide by 2: x ≤ 8
11.Solve: 6x − 2 ≤ 34
Answer: x ≤ 6
- Add 2: 6x ≤ 36
- Divide by 6: x ≤ 6
12.Solve: 7x − 9 ≤ −37
Answer: x ≤ −4
- Add 9: 7x ≤ −28
- Divide by 7: x ≤ −4
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.