8th Grade Solving Linear Inequalities Worksheet — Level 3 — 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 3 — Practice Set 2 — Answers
Solve each inequality. When you multiply or divide both sides by a negative number, reverse the inequality sign.
1.Solve: x − 11 ≤ −6
Answer: x ≤ 5
- Add 11: x ≤ 5
- Divide by 1: x ≤ 5
2.Solve: −2x + 3 ≤ −15
Answer: x ≥ 9
- Subtract 3: −2x ≤ −18
- Divide by −2 (negative, so reverse the sign): x ≥ 9
3.Solve: 3x − 11 ≥ −29
Answer: x ≥ −6
- Add 11: 3x ≥ −18
- Divide by 3: x ≥ −6
4.Solve: −5x + 5 ≥ −45
Answer: x ≤ 10
- Subtract 5: −5x ≥ −50
- Divide by −5 (negative, so reverse the sign): x ≤ 10
5.Solve: −6x − 12 > −18
Answer: x < 1
- Add 12: −6x > −6
- Divide by −6 (negative, so reverse the sign): x < 1
6.Solve: 6x + 6 < 0
Answer: x < −1
- Subtract 6: 6x < −6
- Divide by 6: x < −1
7.Solve: 3x − 4 < 11
Answer: x < 5
- Add 4: 3x < 15
- Divide by 3: x < 5
8.Solve: −3x + 1 ≤ −35
Answer: x ≥ 12
- Subtract 1: −3x ≤ −36
- Divide by −3 (negative, so reverse the sign): x ≥ 12
9.Solve: 3x + 7 < 1
Answer: x < −2
- Subtract 7: 3x < −6
- Divide by 3: x < −2
10.Solve: 5x + 7 ≥ 47
Answer: x ≥ 8
- Subtract 7: 5x ≥ 40
- Divide by 5: x ≥ 8
11.Solve: −6x + 2 < 26
Answer: x > −4
- Subtract 2: −6x < 24
- Divide by −6 (negative, so reverse the sign): x > −4
12.Solve: 3x − 9 < −24
Answer: x < −5
- Add 9: 3x < −15
- Divide by 3: x < −5
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