Year 10 Solving Linear Inequalities Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the Year 10 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Linear EquationsYear 10 Solving Linear Inequalities Worksheet — Level 2 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 6x + 1 > −41
Answer: x > −7
- Subtract 1: 6x > −42
- Divide by 6: x > −7
2.Solve: 4x − 11 < 37
Answer: x < 12
- Add 11: 4x < 48
- Divide by 4: x < 12
3.Solve: 5x + 1 ≤ −29
Answer: x ≤ −6
- Subtract 1: 5x ≤ −30
- Divide by 5: x ≤ −6
4.Solve: 3x + 6 > 18
Answer: x > 4
- Subtract 6: 3x > 12
- Divide by 3: x > 4
5.Solve: 4x − 11 > −47
Answer: x > −9
- Add 11: 4x > −36
- Divide by 4: x > −9
6.Solve: 2x + 7 < 27
Answer: x < 10
- Subtract 7: 2x < 20
- Divide by 2: x < 10
7.Solve: 5x − 7 < 3
Answer: x < 2
- Add 7: 5x < 10
- Divide by 5: x < 2
8.Solve: 7x + 12 ≥ 68
Answer: x ≥ 8
- Subtract 12: 7x ≥ 56
- Divide by 7: x ≥ 8
9.Solve: 6x + 6 ≥ 72
Answer: x ≥ 11
- Subtract 6: 6x ≥ 66
- Divide by 6: x ≥ 11
10.Solve: 3x + 12 ≤ 30
Answer: x ≤ 6
- Subtract 12: 3x ≤ 18
- Divide by 3: x ≤ 6
11.Solve: 2x + 2 > 12
Answer: x > 5
- Subtract 2: 2x > 10
- Divide by 2: x > 5
12.Solve: 2x + 6 > −4
Answer: x > −5
- Subtract 6: 2x > −10
- Divide by 2: x > −5
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.