9th Grade Solving Linear Inequalities Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the 9th Grade linear equations worksheet.
Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Linear Equations9th Grade Solving Linear Inequalities Worksheet — Level 2 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 4x − 3 ≤ 5
Answer: x ≤ 2
- Add 3: 4x ≤ 8
- Divide by 4: x ≤ 2
2.Solve: 7x + 10 ≥ 24
Answer: x ≥ 2
- Subtract 10: 7x ≥ 14
- Divide by 7: x ≥ 2
3.Solve: 6x + 4 ≤ −32
Answer: x ≤ −6
- Subtract 4: 6x ≤ −36
- Divide by 6: x ≤ −6
4.Solve: 2x − 11 ≥ 9
Answer: x ≥ 10
- Add 11: 2x ≥ 20
- Divide by 2: x ≥ 10
5.Solve: 3x + 7 < 40
Answer: x < 11
- Subtract 7: 3x < 33
- Divide by 3: x < 11
6.Solve: 5x + 1 ≤ 6
Answer: x ≤ 1
- Subtract 1: 5x ≤ 5
- Divide by 5: x ≤ 1
7.Solve: 5x − 12 ≥ 8
Answer: x ≥ 4
- Add 12: 5x ≥ 20
- Divide by 5: x ≥ 4
8.Solve: 7x + 9 > 37
Answer: x > 4
- Subtract 9: 7x > 28
- Divide by 7: x > 4
9.Solve: 3x − 2 < 19
Answer: x < 7
- Add 2: 3x < 21
- Divide by 3: x < 7
10.Solve: 2x + 6 > −2
Answer: x > −4
- Subtract 6: 2x > −8
- Divide by 2: x > −4
11.Solve: 5x − 10 < −35
Answer: x < −5
- Add 10: 5x < −25
- Divide by 5: x < −5
12.Solve: 4x + 3 ≤ 43
Answer: x ≤ 10
- Subtract 3: 4x ≤ 40
- Divide by 4: x ≤ 10
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.