10th Grade Solving Linear Inequalities Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 10th Grade linear equations worksheet.
Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Linear Equations10th 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 − 7 ≥ −21
Answer: x ≥ −7
- Add 7: 2x ≥ −14
- Divide by 2: x ≥ −7
2.Solve: 4x + 2 > 18
Answer: x > 4
- Subtract 2: 4x > 16
- Divide by 4: x > 4
3.Solve: −x + 3 < −3
Answer: x > 6
- Subtract 3: −x < −6
- Divide by −1 (negative, so reverse the sign): x > 6
4.Solve: 6x − 2 ≤ −32
Answer: x ≤ −5
- Add 2: 6x ≤ −30
- Divide by 6: x ≤ −5
5.Solve: 4x − 8 < 12
Answer: x < 5
- Add 8: 4x < 20
- Divide by 4: x < 5
6.Solve: −3x + 9 < 21
Answer: x > −4
- Subtract 9: −3x < 12
- Divide by −3 (negative, so reverse the sign): x > −4
7.Solve: 3x − 10 > −16
Answer: x > −2
- Add 10: 3x > −6
- Divide by 3: x > −2
8.Solve: −6x − 12 > −78
Answer: x < 11
- Add 12: −6x > −66
- Divide by −6 (negative, so reverse the sign): x < 11
9.Solve: −2x − 5 > −5
Answer: x < 0
- Add 5: −2x > 0
- Divide by −2 (negative, so reverse the sign): x < 0
10.Solve: 5x + 11 ≤ 61
Answer: x ≤ 10
- Subtract 11: 5x ≤ 50
- Divide by 5: x ≤ 10
11.Solve: 4x − 5 < −37
Answer: x < −8
- Add 5: 4x < −32
- Divide by 4: x < −8
12.Solve: 2x − 4 ≥ 8
Answer: x ≥ 6
- Add 4: 2x ≥ 12
- Divide by 2: x ≥ 6
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