Year 10 Solving Linear Inequalities Worksheet — Level 2 — Practice Set 4 — 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 4 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 6x − 3 ≥ −9
Answer: x ≥ −1
- Add 3: 6x ≥ −6
- Divide by 6: x ≥ −1
2.Solve: 6x − 9 ≥ −9
Answer: x ≥ 0
- Add 9: 6x ≥ 0
- Divide by 6: x ≥ 0
3.Solve: 2x − 4 < 14
Answer: x < 9
- Add 4: 2x < 18
- Divide by 2: x < 9
4.Solve: 4x − 11 > 9
Answer: x > 5
- Add 11: 4x > 20
- Divide by 4: x > 5
5.Solve: 3x − 1 ≥ −28
Answer: x ≥ −9
- Add 1: 3x ≥ −27
- Divide by 3: x ≥ −9
6.Solve: 6x − 2 > 28
Answer: x > 5
- Add 2: 6x > 30
- Divide by 6: x > 5
7.Solve: 2x + 5 < 19
Answer: x < 7
- Subtract 5: 2x < 14
- Divide by 2: x < 7
8.Solve: 7x + 7 ≥ 84
Answer: x ≥ 11
- Subtract 7: 7x ≥ 77
- Divide by 7: x ≥ 11
9.Solve: 6x + 10 ≥ 10
Answer: x ≥ 0
- Subtract 10: 6x ≥ 0
- Divide by 6: x ≥ 0
10.Solve: 5x + 10 > 55
Answer: x > 9
- Subtract 10: 5x > 45
- Divide by 5: x > 9
11.Solve: 7x + 3 > 87
Answer: x > 12
- Subtract 3: 7x > 84
- Divide by 7: x > 12
12.Solve: 4x + 1 > 9
Answer: x > 2
- Subtract 1: 4x > 8
- Divide by 4: x > 2
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.