9th Grade Solving Linear Inequalities Worksheet — Level 3 — Practice Set 2 — 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 2 — Answers
Solve each inequality. When you multiply or divide both sides by a negative number, reverse the inequality sign.
1.Solve: −x − 5 ≤ −9
Answer: x ≥ 4
- Add 5: −x ≤ −4
- Divide by −1 (negative, so reverse the sign): x ≥ 4
2.Solve: 3x + 10 ≥ 31
Answer: x ≥ 7
- Subtract 10: 3x ≥ 21
- Divide by 3: x ≥ 7
3.Solve: −2x + 1 < −5
Answer: x > 3
- Subtract 1: −2x < −6
- Divide by −2 (negative, so reverse the sign): x > 3
4.Solve: −x + 2 < 8
Answer: x > −6
- Subtract 2: −x < 6
- Divide by −1 (negative, so reverse the sign): x > −6
5.Solve: −x − 5 ≥ −2
Answer: x ≤ −3
- Add 5: −x ≥ 3
- Divide by −1 (negative, so reverse the sign): x ≤ −3
6.Solve: −3x − 2 < −35
Answer: x > 11
- Add 2: −3x < −33
- Divide by −3 (negative, so reverse the sign): x > 11
7.Solve: 4x + 6 < 34
Answer: x < 7
- Subtract 6: 4x < 28
- Divide by 4: x < 7
8.Solve: x + 1 ≥ 9
Answer: x ≥ 8
- Subtract 1: x ≥ 8
- Divide by 1: x ≥ 8
9.Solve: 3x + 11 < 17
Answer: x < 2
- Subtract 11: 3x < 6
- Divide by 3: x < 2
10.Solve: 2x + 8 > 0
Answer: x > −4
- Subtract 8: 2x > −8
- Divide by 2: x > −4
11.Solve: −3x + 7 > −5
Answer: x < 4
- Subtract 7: −3x > −12
- Divide by −3 (negative, so reverse the sign): x < 4
12.Solve: 5x + 12 > 32
Answer: x > 4
- Subtract 12: 5x > 20
- Divide by 5: x > 4
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