9th Grade Solving Linear Inequalities Worksheet — Level 2 — Practice Set 4 — 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 — Practice Set 4 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 4x − 5 ≤ 7
Answer: x ≤ 3
- Add 5: 4x ≤ 12
- Divide by 4: x ≤ 3
2.Solve: 6x − 11 < −11
Answer: x < 0
- Add 11: 6x < 0
- Divide by 6: x < 0
3.Solve: 6x − 12 ≥ 48
Answer: x ≥ 10
- Add 12: 6x ≥ 60
- Divide by 6: x ≥ 10
4.Solve: 4x − 3 ≤ 13
Answer: x ≤ 4
- Add 3: 4x ≤ 16
- Divide by 4: x ≤ 4
5.Solve: 5x − 11 > 44
Answer: x > 11
- Add 11: 5x > 55
- Divide by 5: x > 11
6.Solve: 2x + 4 ≤ 28
Answer: x ≤ 12
- Subtract 4: 2x ≤ 24
- Divide by 2: x ≤ 12
7.Solve: 3x − 3 ≥ −27
Answer: x ≥ −8
- Add 3: 3x ≥ −24
- Divide by 3: x ≥ −8
8.Solve: 3x + 3 ≤ 3
Answer: x ≤ 0
- Subtract 3: 3x ≤ 0
- Divide by 3: x ≤ 0
9.Solve: 4x + 8 > 28
Answer: x > 5
- Subtract 8: 4x > 20
- Divide by 4: x > 5
10.Solve: 2x − 10 < −12
Answer: x < −1
- Add 10: 2x < −2
- Divide by 2: x < −1
11.Solve: 5x − 2 ≥ −37
Answer: x ≥ −7
- Add 2: 5x ≥ −35
- Divide by 5: x ≥ −7
12.Solve: 6x + 10 ≥ −44
Answer: x ≥ −9
- Subtract 10: 6x ≥ −54
- Divide by 6: 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.
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