Year 10 Solving Linear Inequalities Worksheet — Level 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 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 5x − 2 > 58
Answer: x > 12
- Add 2: 5x > 60
- Divide by 5: x > 12
2.Solve: 3x + 11 < 29
Answer: x < 6
- Subtract 11: 3x < 18
- Divide by 3: x < 6
3.Solve: 4x + 9 ≥ 9
Answer: x ≥ 0
- Subtract 9: 4x ≥ 0
- Divide by 4: x ≥ 0
4.Solve: 7x − 9 > 40
Answer: x > 7
- Add 9: 7x > 49
- Divide by 7: x > 7
5.Solve: 2x + 7 ≤ 13
Answer: x ≤ 3
- Subtract 7: 2x ≤ 6
- Divide by 2: x ≤ 3
6.Solve: 2x + 3 > −11
Answer: x > −7
- Subtract 3: 2x > −14
- Divide by 2: x > −7
7.Solve: 7x + 7 ≤ −7
Answer: x ≤ −2
- Subtract 7: 7x ≤ −14
- Divide by 7: x ≤ −2
8.Solve: 4x + 2 ≥ −34
Answer: x ≥ −9
- Subtract 2: 4x ≥ −36
- Divide by 4: x ≥ −9
9.Solve: 7x + 11 < 11
Answer: x < 0
- Subtract 11: 7x < 0
- Divide by 7: x < 0
10.Solve: 2x + 2 ≤ 0
Answer: x ≤ −1
- Subtract 2: 2x ≤ −2
- Divide by 2: x ≤ −1
11.Solve: 2x + 11 < 21
Answer: x < 5
- Subtract 11: 2x < 10
- Divide by 2: x < 5
12.Solve: 4x − 11 > −39
Answer: x > −7
- Add 11: 4x > −28
- Divide by 4: x > −7
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.