9th Grade Solving Linear Inequalities Worksheet — Level 3 — Practice Set 4 — 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 4 — Answers
Solve each inequality. When you multiply or divide both sides by a negative number, reverse the inequality sign.
1.Solve: 6x + 8 < −22
Answer: x < −5
- Subtract 8: 6x < −30
- Divide by 6: x < −5
2.Solve: 3x + 5 ≤ −7
Answer: x ≤ −4
- Subtract 5: 3x ≤ −12
- Divide by 3: x ≤ −4
3.Solve: 3x + 11 ≤ 23
Answer: x ≤ 4
- Subtract 11: 3x ≤ 12
- Divide by 3: x ≤ 4
4.Solve: 3x + 4 > 10
Answer: x > 2
- Subtract 4: 3x > 6
- Divide by 3: x > 2
5.Solve: −4x + 5 ≤ −39
Answer: x ≥ 11
- Subtract 5: −4x ≤ −44
- Divide by −4 (negative, so reverse the sign): x ≥ 11
6.Solve: x − 2 ≤ 7
Answer: x ≤ 9
- Add 2: x ≤ 9
- Divide by 1: x ≤ 9
7.Solve: −x + 4 ≤ −5
Answer: x ≥ 9
- Subtract 4: −x ≤ −9
- Divide by −1 (negative, so reverse the sign): x ≥ 9
8.Solve: −3x − 2 ≤ −2
Answer: x ≥ 0
- Add 2: −3x ≤ 0
- Divide by −3 (negative, so reverse the sign): x ≥ 0
9.Solve: −4x + 2 ≤ 2
Answer: x ≥ 0
- Subtract 2: −4x ≤ 0
- Divide by −4 (negative, so reverse the sign): x ≥ 0
10.Solve: 6x − 7 < 5
Answer: x < 2
- Add 7: 6x < 12
- Divide by 6: x < 2
11.Solve: 4x + 3 ≥ −9
Answer: x ≥ −3
- Subtract 3: 4x ≥ −12
- Divide by 4: x ≥ −3
12.Solve: x − 7 ≥ −10
Answer: x ≥ −3
- Add 7: x ≥ −3
- Divide by 1: x ≥ −3
Marking tips
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