9th Grade Solving Linear Inequalities Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 9th Grade linear equations worksheet.
Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Linear Equations9th 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: 2x − 2 ≥ −18
Answer: x ≥ −8
- Add 2: 2x ≥ −16
- Divide by 2: x ≥ −8
2.Solve: −4x + 1 > −11
Answer: x < 3
- Subtract 1: −4x > −12
- Divide by −4 (negative, so reverse the sign): x < 3
3.Solve: −2x − 1 ≤ −3
Answer: x ≥ 1
- Add 1: −2x ≤ −2
- Divide by −2 (negative, so reverse the sign): x ≥ 1
4.Solve: −3x + 7 ≥ 16
Answer: x ≤ −3
- Subtract 7: −3x ≥ 9
- Divide by −3 (negative, so reverse the sign): x ≤ −3
5.Solve: −2x − 6 > 4
Answer: x < −5
- Add 6: −2x > 10
- Divide by −2 (negative, so reverse the sign): x < −5
6.Solve: −3x + 6 < −24
Answer: x > 10
- Subtract 6: −3x < −30
- Divide by −3 (negative, so reverse the sign): x > 10
7.Solve: −x + 2 > −4
Answer: x < 6
- Subtract 2: −x > −6
- Divide by −1 (negative, so reverse the sign): x < 6
8.Solve: −2x − 9 > −27
Answer: x < 9
- Add 9: −2x > −18
- Divide by −2 (negative, so reverse the sign): x < 9
9.Solve: −4x + 5 ≥ 37
Answer: x ≤ −8
- Subtract 5: −4x ≥ 32
- Divide by −4 (negative, so reverse the sign): x ≤ −8
10.Solve: −4x − 5 ≤ 11
Answer: x ≥ −4
- Add 5: −4x ≤ 16
- Divide by −4 (negative, so reverse the sign): x ≥ −4
11.Solve: −4x + 7 < −25
Answer: x > 8
- Subtract 7: −4x < −32
- Divide by −4 (negative, so reverse the sign): x > 8
12.Solve: 6x + 11 < 11
Answer: x < 0
- Subtract 11: 6x < 0
- Divide by 6: x < 0
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