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: 5x − 10 > −10
Answer: x > 0
- Add 10: 5x > 0
- Divide by 5: x > 0
2.Solve: 5x − 11 ≤ −31
Answer: x ≤ −4
- Add 11: 5x ≤ −20
- Divide by 5: x ≤ −4
3.Solve: 3x + 6 < 33
Answer: x < 9
- Subtract 6: 3x < 27
- Divide by 3: x < 9
4.Solve: 7x − 5 < −61
Answer: x < −8
- Add 5: 7x < −56
- Divide by 7: x < −8
5.Solve: 3x − 2 ≤ 10
Answer: x ≤ 4
- Add 2: 3x ≤ 12
- Divide by 3: x ≤ 4
6.Solve: 5x + 3 > −22
Answer: x > −5
- Subtract 3: 5x > −25
- Divide by 5: x > −5
7.Solve: 4x + 5 < −7
Answer: x < −3
- Subtract 5: 4x < −12
- Divide by 4: x < −3
8.Solve: 4x − 6 < 10
Answer: x < 4
- Add 6: 4x < 16
- Divide by 4: x < 4
9.Solve: 7x + 3 < −11
Answer: x < −2
- Subtract 3: 7x < −14
- Divide by 7: x < −2
10.Solve: 3x + 12 ≤ 0
Answer: x ≤ −4
- Subtract 12: 3x ≤ −12
- Divide by 3: x ≤ −4
11.Solve: 2x − 2 > 14
Answer: x > 8
- Add 2: 2x > 16
- Divide by 2: x > 8
12.Solve: 4x − 4 ≤ −36
Answer: x ≤ −8
- Add 4: 4x ≤ −32
- Divide by 4: x ≤ −8
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.