10th Grade Solving Linear Inequalities Worksheet — Level 3 — Practice Set 2 — 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 2 — Answers
Solve each inequality. When you multiply or divide both sides by a negative number, reverse the inequality sign.
1.Solve: 2x − 12 ≤ −28
Answer: x ≤ −8
- Add 12: 2x ≤ −16
- Divide by 2: x ≤ −8
2.Solve: 2x + 2 > −14
Answer: x > −8
- Subtract 2: 2x > −16
- Divide by 2: x > −8
3.Solve: −3x − 5 ≥ −26
Answer: x ≤ 7
- Add 5: −3x ≥ −21
- Divide by −3 (negative, so reverse the sign): x ≤ 7
4.Solve: −2x − 3 > 11
Answer: x < −7
- Add 3: −2x > 14
- Divide by −2 (negative, so reverse the sign): x < −7
5.Solve: −2x − 2 ≥ −14
Answer: x ≤ 6
- Add 2: −2x ≥ −12
- Divide by −2 (negative, so reverse the sign): x ≤ 6
6.Solve: −3x − 2 > −23
Answer: x < 7
- Add 2: −3x > −21
- Divide by −3 (negative, so reverse the sign): x < 7
7.Solve: 2x − 8 ≤ −12
Answer: x ≤ −2
- Add 8: 2x ≤ −4
- Divide by 2: x ≤ −2
8.Solve: −6x + 10 ≥ −44
Answer: x ≤ 9
- Subtract 10: −6x ≥ −54
- Divide by −6 (negative, so reverse the sign): x ≤ 9
9.Solve: −3x + 8 ≤ 17
Answer: x ≥ −3
- Subtract 8: −3x ≤ 9
- Divide by −3 (negative, so reverse the sign): x ≥ −3
10.Solve: −4x + 3 > −33
Answer: x < 9
- Subtract 3: −4x > −36
- Divide by −4 (negative, so reverse the sign): x < 9
11.Solve: 2x + 5 > −9
Answer: x > −7
- Subtract 5: 2x > −14
- Divide by 2: x > −7
12.Solve: −2x + 7 ≥ −13
Answer: x ≤ 10
- Subtract 7: −2x ≥ −20
- Divide by −2 (negative, so reverse the sign): x ≤ 10
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