8th Grade Solving Linear Inequalities Worksheet — Level 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 3 — Answers
Solve each inequality. When you multiply or divide both sides by a negative number, reverse the inequality sign.
1.Solve: 3x + 7 > −5
Answer: x > −4
- Subtract 7: 3x > −12
- Divide by 3: x > −4
2.Solve: 6x − 6 ≥ −36
Answer: x ≥ −5
- Add 6: 6x ≥ −30
- Divide by 6: x ≥ −5
3.Solve: −4x − 3 > 29
Answer: x < −8
- Add 3: −4x > 32
- Divide by −4 (negative, so reverse the sign): x < −8
4.Solve: 6x + 10 ≤ −14
Answer: x ≤ −4
- Subtract 10: 6x ≤ −24
- Divide by 6: x ≤ −4
5.Solve: 5x + 7 ≤ 7
Answer: x ≤ 0
- Subtract 7: 5x ≤ 0
- Divide by 5: x ≤ 0
6.Solve: 3x + 10 < 16
Answer: x < 2
- Subtract 10: 3x < 6
- Divide by 3: x < 2
7.Solve: −6x + 1 < 43
Answer: x > −7
- Subtract 1: −6x < 42
- Divide by −6 (negative, so reverse the sign): x > −7
8.Solve: 5x − 4 > 56
Answer: x > 12
- Add 4: 5x > 60
- Divide by 5: x > 12
9.Solve: −x − 5 > 2
Answer: x < −7
- Add 5: −x > 7
- Divide by −1 (negative, so reverse the sign): x < −7
10.Solve: 3x + 10 < 19
Answer: x < 3
- Subtract 10: 3x < 9
- Divide by 3: x < 3
11.Solve: −4x − 4 ≤ −40
Answer: x ≥ 9
- Add 4: −4x ≤ −36
- Divide by −4 (negative, so reverse the sign): x ≥ 9
12.Solve: 6x − 8 < 34
Answer: x < 7
- Add 8: 6x < 42
- Divide by 6: x < 7
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