8th Grade Solving Linear Inequalities Worksheet — Level 3 — Practice Set 4 — 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 4 — Answers
Solve each inequality. When you multiply or divide both sides by a negative number, reverse the inequality sign.
1.Solve: −x − 1 < 4
Answer: x > −5
- Add 1: −x < 5
- Divide by −1 (negative, so reverse the sign): x > −5
2.Solve: −2x + 8 ≥ 20
Answer: x ≤ −6
- Subtract 8: −2x ≥ 12
- Divide by −2 (negative, so reverse the sign): x ≤ −6
3.Solve: 5x − 8 < −23
Answer: x < −3
- Add 8: 5x < −15
- Divide by 5: x < −3
4.Solve: −2x + 10 > −10
Answer: x < 10
- Subtract 10: −2x > −20
- Divide by −2 (negative, so reverse the sign): x < 10
5.Solve: 2x + 2 ≥ −16
Answer: x ≥ −9
- Subtract 2: 2x ≥ −18
- Divide by 2: x ≥ −9
6.Solve: −2x + 10 ≥ 14
Answer: x ≤ −2
- Subtract 10: −2x ≥ 4
- Divide by −2 (negative, so reverse the sign): x ≤ −2
7.Solve: −5x + 9 ≤ −1
Answer: x ≥ 2
- Subtract 9: −5x ≤ −10
- Divide by −5 (negative, so reverse the sign): x ≥ 2
8.Solve: −5x + 3 ≥ 48
Answer: x ≤ −9
- Subtract 3: −5x ≥ 45
- Divide by −5 (negative, so reverse the sign): x ≤ −9
9.Solve: 3x + 7 ≤ 7
Answer: x ≤ 0
- Subtract 7: 3x ≤ 0
- Divide by 3: x ≤ 0
10.Solve: −4x + 12 ≥ −24
Answer: x ≤ 9
- Subtract 12: −4x ≥ −36
- Divide by −4 (negative, so reverse the sign): x ≤ 9
11.Solve: x − 6 > −13
Answer: x > −7
- Add 6: x > −7
- Divide by 1: x > −7
12.Solve: 5x − 11 ≥ −6
Answer: x ≥ 1
- Add 11: 5x ≥ 5
- Divide by 5: x ≥ 1
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