Year 10 Solving Linear Inequalities Worksheet — Level 2 — Practice Set 3 — 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 3 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 5x − 8 ≥ −8
Answer: x ≥ 0
- Add 8: 5x ≥ 0
- Divide by 5: x ≥ 0
2.Solve: 3x + 7 ≥ 34
Answer: x ≥ 9
- Subtract 7: 3x ≥ 27
- Divide by 3: x ≥ 9
3.Solve: 2x + 5 > 23
Answer: x > 9
- Subtract 5: 2x > 18
- Divide by 2: x > 9
4.Solve: 7x + 1 ≥ −41
Answer: x ≥ −6
- Subtract 1: 7x ≥ −42
- Divide by 7: x ≥ −6
5.Solve: 6x − 8 > 64
Answer: x > 12
- Add 8: 6x > 72
- Divide by 6: x > 12
6.Solve: 2x + 7 ≥ 1
Answer: x ≥ −3
- Subtract 7: 2x ≥ −6
- Divide by 2: x ≥ −3
7.Solve: 7x − 3 > −66
Answer: x > −9
- Add 3: 7x > −63
- Divide by 7: x > −9
8.Solve: 3x − 6 ≥ −6
Answer: x ≥ 0
- Add 6: 3x ≥ 0
- Divide by 3: x ≥ 0
9.Solve: 4x − 7 > −15
Answer: x > −2
- Add 7: 4x > −8
- Divide by 4: x > −2
10.Solve: 6x + 11 > −19
Answer: x > −5
- Subtract 11: 6x > −30
- Divide by 6: x > −5
11.Solve: 2x + 3 > −7
Answer: x > −5
- Subtract 3: 2x > −10
- Divide by 2: x > −5
12.Solve: 6x + 5 ≤ 17
Answer: x ≤ 2
- Subtract 5: 6x ≤ 12
- Divide by 6: 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.