10th Grade Solving Linear Inequalities Worksheet — Level 3 — Practice Set 4 — 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 4 — Answers
Solve each inequality. When you multiply or divide both sides by a negative number, reverse the inequality sign.
1.Solve: 3x + 1 ≤ 7
Answer: x ≤ 2
- Subtract 1: 3x ≤ 6
- Divide by 3: x ≤ 2
2.Solve: 5x − 1 > 34
Answer: x > 7
- Add 1: 5x > 35
- Divide by 5: x > 7
3.Solve: −x − 10 < −12
Answer: x > 2
- Add 10: −x < −2
- Divide by −1 (negative, so reverse the sign): x > 2
4.Solve: −6x + 2 < −70
Answer: x > 12
- Subtract 2: −6x < −72
- Divide by −6 (negative, so reverse the sign): x > 12
5.Solve: −4x − 6 < −34
Answer: x > 7
- Add 6: −4x < −28
- Divide by −4 (negative, so reverse the sign): x > 7
6.Solve: 5x − 8 > −13
Answer: x > −1
- Add 8: 5x > −5
- Divide by 5: x > −1
7.Solve: −x + 10 ≥ −2
Answer: x ≤ 12
- Subtract 10: −x ≥ −12
- Divide by −1 (negative, so reverse the sign): x ≤ 12
8.Solve: −6x + 3 < −57
Answer: x > 10
- Subtract 3: −6x < −60
- Divide by −6 (negative, so reverse the sign): x > 10
9.Solve: −5x + 12 ≥ 12
Answer: x ≤ 0
- Subtract 12: −5x ≥ 0
- Divide by −5 (negative, so reverse the sign): x ≤ 0
10.Solve: −5x − 6 > −11
Answer: x < 1
- Add 6: −5x > −5
- Divide by −5 (negative, so reverse the sign): x < 1
11.Solve: −3x − 5 ≤ 16
Answer: x ≥ −7
- Add 5: −3x ≤ 21
- Divide by −3 (negative, so reverse the sign): x ≥ −7
12.Solve: 4x + 3 ≤ −25
Answer: x ≤ −7
- Subtract 3: 4x ≤ −28
- Divide by 4: x ≤ −7
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