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: 7x + 5 > 19
Answer: x > 2
- Subtract 5: 7x > 14
- Divide by 7: x > 2
2.Solve: 3x − 8 > −23
Answer: x > −5
- Add 8: 3x > −15
- Divide by 3: x > −5
3.Solve: 3x + 6 < 30
Answer: x < 8
- Subtract 6: 3x < 24
- Divide by 3: x < 8
4.Solve: 4x − 12 ≥ −32
Answer: x ≥ −5
- Add 12: 4x ≥ −20
- Divide by 4: x ≥ −5
5.Solve: 5x + 6 ≥ 11
Answer: x ≥ 1
- Subtract 6: 5x ≥ 5
- Divide by 5: x ≥ 1
6.Solve: 2x + 4 < −8
Answer: x < −6
- Subtract 4: 2x < −12
- Divide by 2: x < −6
7.Solve: 2x − 1 > 3
Answer: x > 2
- Add 1: 2x > 4
- Divide by 2: x > 2
8.Solve: 2x − 3 < 11
Answer: x < 7
- Add 3: 2x < 14
- Divide by 2: x < 7
9.Solve: 7x − 11 ≥ −18
Answer: x ≥ −1
- Add 11: 7x ≥ −7
- Divide by 7: x ≥ −1
10.Solve: 2x + 6 ≤ −4
Answer: x ≤ −5
- Subtract 6: 2x ≤ −10
- Divide by 2: x ≤ −5
11.Solve: 2x + 1 ≥ 19
Answer: x ≥ 9
- Subtract 1: 2x ≥ 18
- Divide by 2: x ≥ 9
12.Solve: 3x + 4 > 13
Answer: x > 3
- Subtract 4: 3x > 9
- Divide by 3: x > 3
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.