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: 5x − 6 > 49
Answer: x > 11
- Add 6: 5x > 55
- Divide by 5: x > 11
2.Solve: 4x + 11 > 23
Answer: x > 3
- Subtract 11: 4x > 12
- Divide by 4: x > 3
3.Solve: 2x − 3 < −7
Answer: x < −2
- Add 3: 2x < −4
- Divide by 2: x < −2
4.Solve: 4x + 12 ≤ −8
Answer: x ≤ −5
- Subtract 12: 4x ≤ −20
- Divide by 4: x ≤ −5
5.Solve: 7x − 4 > 17
Answer: x > 3
- Add 4: 7x > 21
- Divide by 7: x > 3
6.Solve: 2x − 3 ≥ −13
Answer: x ≥ −5
- Add 3: 2x ≥ −10
- Divide by 2: x ≥ −5
7.Solve: 6x − 12 ≥ −30
Answer: x ≥ −3
- Add 12: 6x ≥ −18
- Divide by 6: x ≥ −3
8.Solve: 5x + 9 ≥ 64
Answer: x ≥ 11
- Subtract 9: 5x ≥ 55
- Divide by 5: x ≥ 11
9.Solve: 3x + 1 < 34
Answer: x < 11
- Subtract 1: 3x < 33
- Divide by 3: x < 11
10.Solve: 7x + 11 ≤ −10
Answer: x ≤ −3
- Subtract 11: 7x ≤ −21
- Divide by 7: x ≤ −3
11.Solve: 7x + 6 ≥ 69
Answer: x ≥ 9
- Subtract 6: 7x ≥ 63
- Divide by 7: x ≥ 9
12.Solve: 4x + 4 > −4
Answer: x > −2
- Subtract 4: 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.