Year 9 Solving Linear Inequalities Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the Year 9 linear equations worksheet.
Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Linear EquationsYear 9 Solving Linear Inequalities Worksheet — Level 2 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 5x + 2 ≥ 47
Answer: x ≥ 9
- Subtract 2: 5x ≥ 45
- Divide by 5: x ≥ 9
2.Solve: 6x + 7 < −11
Answer: x < −3
- Subtract 7: 6x < −18
- Divide by 6: x < −3
3.Solve: 5x + 5 ≥ 5
Answer: x ≥ 0
- Subtract 5: 5x ≥ 0
- Divide by 5: x ≥ 0
4.Solve: 4x + 5 > −27
Answer: x > −8
- Subtract 5: 4x > −32
- Divide by 4: x > −8
5.Solve: 2x − 7 ≤ 3
Answer: x ≤ 5
- Add 7: 2x ≤ 10
- Divide by 2: x ≤ 5
6.Solve: 7x + 2 > 37
Answer: x > 5
- Subtract 2: 7x > 35
- Divide by 7: x > 5
7.Solve: 7x + 12 < 19
Answer: x < 1
- Subtract 12: 7x < 7
- Divide by 7: x < 1
8.Solve: 3x − 4 ≤ −1
Answer: x ≤ 1
- Add 4: 3x ≤ 3
- Divide by 3: x ≤ 1
9.Solve: 6x + 1 < 25
Answer: x < 4
- Subtract 1: 6x < 24
- Divide by 6: x < 4
10.Solve: 3x − 10 < −16
Answer: x < −2
- Add 10: 3x < −6
- Divide by 3: x < −2
11.Solve: 6x + 3 > 21
Answer: x > 3
- Subtract 3: 6x > 18
- Divide by 6: x > 3
12.Solve: 6x + 11 ≥ 17
Answer: x ≥ 1
- Subtract 11: 6x ≥ 6
- Divide by 6: x ≥ 1
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.