Year 9 Solving Linear Inequalities Worksheet — Level 2 — Practice Set 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 — Practice Set 2 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 7x + 2 ≤ −61
Answer: x ≤ −9
- Subtract 2: 7x ≤ −63
- Divide by 7: x ≤ −9
2.Solve: 5x + 10 ≤ 20
Answer: x ≤ 2
- Subtract 10: 5x ≤ 10
- Divide by 5: x ≤ 2
3.Solve: 5x + 6 ≤ 26
Answer: x ≤ 4
- Subtract 6: 5x ≤ 20
- Divide by 5: x ≤ 4
4.Solve: 2x + 12 ≥ 24
Answer: x ≥ 6
- Subtract 12: 2x ≥ 12
- Divide by 2: x ≥ 6
5.Solve: 5x − 8 < 27
Answer: x < 7
- Add 8: 5x < 35
- Divide by 5: x < 7
6.Solve: 4x + 11 < 43
Answer: x < 8
- Subtract 11: 4x < 32
- Divide by 4: x < 8
7.Solve: 4x − 7 ≤ −3
Answer: x ≤ 1
- Add 7: 4x ≤ 4
- Divide by 4: x ≤ 1
8.Solve: 6x − 4 ≤ −10
Answer: x ≤ −1
- Add 4: 6x ≤ −6
- Divide by 6: x ≤ −1
9.Solve: 3x − 7 > −10
Answer: x > −1
- Add 7: 3x > −3
- Divide by 3: x > −1
10.Solve: 2x + 2 ≥ −12
Answer: x ≥ −7
- Subtract 2: 2x ≥ −14
- Divide by 2: x ≥ −7
11.Solve: 4x + 2 < −22
Answer: x < −6
- Subtract 2: 4x < −24
- Divide by 4: x < −6
12.Solve: 5x − 7 ≤ 38
Answer: x ≤ 9
- Add 7: 5x ≤ 45
- Divide by 5: x ≤ 9
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.