8th Grade Solving Linear Inequalities Worksheet — Level 2 — Practice Set 2 — 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 2 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 2x + 10 ≥ 2
Answer: x ≥ −4
- Subtract 10: 2x ≥ −8
- Divide by 2: x ≥ −4
2.Solve: 3x − 6 < −24
Answer: x < −6
- Add 6: 3x < −18
- Divide by 3: x < −6
3.Solve: 6x − 5 ≥ 13
Answer: x ≥ 3
- Add 5: 6x ≥ 18
- Divide by 6: x ≥ 3
4.Solve: 7x − 7 < −28
Answer: x < −3
- Add 7: 7x < −21
- Divide by 7: x < −3
5.Solve: 7x − 4 ≤ 10
Answer: x ≤ 2
- Add 4: 7x ≤ 14
- Divide by 7: x ≤ 2
6.Solve: 2x + 5 ≤ 1
Answer: x ≤ −2
- Subtract 5: 2x ≤ −4
- Divide by 2: x ≤ −2
7.Solve: 3x + 3 < 39
Answer: x < 12
- Subtract 3: 3x < 36
- Divide by 3: x < 12
8.Solve: 7x + 3 > 52
Answer: x > 7
- Subtract 3: 7x > 49
- Divide by 7: x > 7
9.Solve: 5x − 12 ≤ 18
Answer: x ≤ 6
- Add 12: 5x ≤ 30
- Divide by 5: x ≤ 6
10.Solve: 7x − 8 < −15
Answer: x < −1
- Add 8: 7x < −7
- Divide by 7: x < −1
11.Solve: 7x + 2 < −54
Answer: x < −8
- Subtract 2: 7x < −56
- Divide by 7: x < −8
12.Solve: 2x + 2 ≥ 4
Answer: x ≥ 1
- Subtract 2: 2x ≥ 2
- Divide by 2: 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.
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