Year 10 Solving Linear Inequalities Worksheet — Level 2 — Practice Set 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 — Practice Set 2 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 7x + 2 < −40
Answer: x < −6
- Subtract 2: 7x < −42
- Divide by 7: x < −6
2.Solve: 5x + 12 ≥ 12
Answer: x ≥ 0
- Subtract 12: 5x ≥ 0
- Divide by 5: x ≥ 0
3.Solve: 4x + 5 < −7
Answer: x < −3
- Subtract 5: 4x < −12
- Divide by 4: x < −3
4.Solve: 5x + 6 > 61
Answer: x > 11
- Subtract 6: 5x > 55
- Divide by 5: x > 11
5.Solve: 6x − 6 ≤ 36
Answer: x ≤ 7
- Add 6: 6x ≤ 42
- Divide by 6: x ≤ 7
6.Solve: 5x + 12 < −3
Answer: x < −3
- Subtract 12: 5x < −15
- Divide by 5: x < −3
7.Solve: 3x + 10 ≤ 28
Answer: x ≤ 6
- Subtract 10: 3x ≤ 18
- Divide by 3: x ≤ 6
8.Solve: 4x + 8 < 56
Answer: x < 12
- Subtract 8: 4x < 48
- Divide by 4: x < 12
9.Solve: 2x + 12 > 32
Answer: x > 10
- Subtract 12: 2x > 20
- Divide by 2: x > 10
10.Solve: 7x − 3 ≥ 4
Answer: x ≥ 1
- Add 3: 7x ≥ 7
- Divide by 7: x ≥ 1
11.Solve: 5x + 7 ≥ 37
Answer: x ≥ 6
- Subtract 7: 5x ≥ 30
- Divide by 5: x ≥ 6
12.Solve: 4x + 9 < 49
Answer: x < 10
- Subtract 9: 4x < 40
- Divide by 4: x < 10
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.