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: 5x − 2 ≥ −27
Answer: x ≥ −5
- Add 2: 5x ≥ −25
- Divide by 5: x ≥ −5
2.Solve: 3x − 12 ≥ 24
Answer: x ≥ 12
- Add 12: 3x ≥ 36
- Divide by 3: x ≥ 12
3.Solve: 3x + 11 < −13
Answer: x < −8
- Subtract 11: 3x < −24
- Divide by 3: x < −8
4.Solve: 2x + 5 < −7
Answer: x < −6
- Subtract 5: 2x < −12
- Divide by 2: x < −6
5.Solve: 3x + 3 ≤ −18
Answer: x ≤ −7
- Subtract 3: 3x ≤ −21
- Divide by 3: x ≤ −7
6.Solve: 3x + 1 > 25
Answer: x > 8
- Subtract 1: 3x > 24
- Divide by 3: x > 8
7.Solve: 3x − 5 ≥ 25
Answer: x ≥ 10
- Add 5: 3x ≥ 30
- Divide by 3: x ≥ 10
8.Solve: 5x + 4 ≤ 64
Answer: x ≤ 12
- Subtract 4: 5x ≤ 60
- Divide by 5: x ≤ 12
9.Solve: 3x − 2 > 13
Answer: x > 5
- Add 2: 3x > 15
- Divide by 3: x > 5
10.Solve: 5x − 11 > −26
Answer: x > −3
- Add 11: 5x > −15
- Divide by 5: x > −3
11.Solve: 4x − 2 < 18
Answer: x < 5
- Add 2: 4x < 20
- Divide by 4: x < 5
12.Solve: 3x + 12 ≥ 30
Answer: x ≥ 6
- Subtract 12: 3x ≥ 18
- Divide by 3: 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.