8th Grade Solving Linear Inequalities Worksheet — Level 3 — 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 3 — Practice Set 3 — Answers
Solve each inequality. When you multiply or divide both sides by a negative number, reverse the inequality sign.
1.Solve: −6x − 10 ≤ −52
Answer: x ≥ 7
- Add 10: −6x ≤ −42
- Divide by −6 (negative, so reverse the sign): x ≥ 7
2.Solve: −x + 9 ≥ 2
Answer: x ≤ 7
- Subtract 9: −x ≥ −7
- Divide by −1 (negative, so reverse the sign): x ≤ 7
3.Solve: −5x + 8 < 8
Answer: x > 0
- Subtract 8: −5x < 0
- Divide by −5 (negative, so reverse the sign): x > 0
4.Solve: −5x + 7 < −28
Answer: x > 7
- Subtract 7: −5x < −35
- Divide by −5 (negative, so reverse the sign): x > 7
5.Solve: −6x − 5 ≤ −5
Answer: x ≥ 0
- Add 5: −6x ≤ 0
- Divide by −6 (negative, so reverse the sign): x ≥ 0
6.Solve: x − 11 ≤ −13
Answer: x ≤ −2
- Add 11: x ≤ −2
- Divide by 1: x ≤ −2
7.Solve: 2x + 9 ≥ 31
Answer: x ≥ 11
- Subtract 9: 2x ≥ 22
- Divide by 2: x ≥ 11
8.Solve: −x + 11 ≤ 8
Answer: x ≥ 3
- Subtract 11: −x ≤ −3
- Divide by −1 (negative, so reverse the sign): x ≥ 3
9.Solve: 3x + 6 < −6
Answer: x < −4
- Subtract 6: 3x < −12
- Divide by 3: x < −4
10.Solve: −3x − 6 ≤ −27
Answer: x ≥ 7
- Add 6: −3x ≤ −21
- Divide by −3 (negative, so reverse the sign): x ≥ 7
11.Solve: −6x + 9 > −3
Answer: x < 2
- Subtract 9: −6x > −12
- Divide by −6 (negative, so reverse the sign): x < 2
12.Solve: 6x − 12 > 54
Answer: x > 11
- Add 12: 6x > 66
- Divide by 6: x > 11
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