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 + 12 > 45
Answer: x > 11
- Subtract 12: 3x > 33
- Divide by 3: x > 11
2.Solve: 2x − 10 > 2
Answer: x > 6
- Add 10: 2x > 12
- Divide by 2: x > 6
3.Solve: 4x + 12 > −8
Answer: x > −5
- Subtract 12: 4x > −20
- Divide by 4: x > −5
4.Solve: 4x − 6 ≥ −10
Answer: x ≥ −1
- Add 6: 4x ≥ −4
- Divide by 4: x ≥ −1
5.Solve: 2x − 8 ≥ 6
Answer: x ≥ 7
- Add 8: 2x ≥ 14
- Divide by 2: x ≥ 7
6.Solve: 6x − 1 ≤ −37
Answer: x ≤ −6
- Add 1: 6x ≤ −36
- Divide by 6: x ≤ −6
7.Solve: 6x + 3 ≥ 57
Answer: x ≥ 9
- Subtract 3: 6x ≥ 54
- Divide by 6: x ≥ 9
8.Solve: 3x − 8 > 4
Answer: x > 4
- Add 8: 3x > 12
- Divide by 3: x > 4
9.Solve: 2x + 9 < 27
Answer: x < 9
- Subtract 9: 2x < 18
- Divide by 2: x < 9
10.Solve: 6x + 7 ≥ 13
Answer: x ≥ 1
- Subtract 7: 6x ≥ 6
- Divide by 6: x ≥ 1
11.Solve: 7x + 6 < 6
Answer: x < 0
- Subtract 6: 7x < 0
- Divide by 7: x < 0
12.Solve: 3x + 6 ≥ −18
Answer: x ≥ −8
- Subtract 6: 3x ≥ −24
- Divide by 3: x ≥ −8
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.