8th Grade Solving Linear Inequalities Worksheet — Level 2 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 8th Grade linear equations worksheet.
Success TutoringWorksheetsAnswer sheet8th Grade · Mathematics · Linear Equations8th Grade Solving Linear Inequalities Worksheet — Level 2 — Practice Set 3 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 6x + 7 ≤ −23
Answer: x ≤ −5
- Subtract 7: 6x ≤ −30
- Divide by 6: x ≤ −5
2.Solve: 5x − 3 ≤ 37
Answer: x ≤ 8
- Add 3: 5x ≤ 40
- Divide by 5: x ≤ 8
3.Solve: 3x − 2 < −14
Answer: x < −4
- Add 2: 3x < −12
- Divide by 3: x < −4
4.Solve: 6x + 7 ≤ −41
Answer: x ≤ −8
- Subtract 7: 6x ≤ −48
- Divide by 6: x ≤ −8
5.Solve: 6x − 7 ≤ 53
Answer: x ≤ 10
- Add 7: 6x ≤ 60
- Divide by 6: x ≤ 10
6.Solve: 3x + 9 ≤ 15
Answer: x ≤ 2
- Subtract 9: 3x ≤ 6
- Divide by 3: x ≤ 2
7.Solve: 2x − 12 > −24
Answer: x > −6
- Add 12: 2x > −12
- Divide by 2: x > −6
8.Solve: 5x + 10 ≤ 20
Answer: x ≤ 2
- Subtract 10: 5x ≤ 10
- Divide by 5: x ≤ 2
9.Solve: 6x − 1 < −55
Answer: x < −9
- Add 1: 6x < −54
- Divide by 6: x < −9
10.Solve: 7x + 3 ≥ 45
Answer: x ≥ 6
- Subtract 3: 7x ≥ 42
- Divide by 7: x ≥ 6
11.Solve: 6x + 4 ≤ 16
Answer: x ≤ 2
- Subtract 4: 6x ≤ 12
- Divide by 6: x ≤ 2
12.Solve: 2x + 6 < 24
Answer: x < 9
- Subtract 6: 2x < 18
- Divide by 2: 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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