7th Grade Solving Linear Inequalities Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 7th Grade linear equations worksheet.
Success TutoringWorksheetsAnswer sheet7th Grade · Mathematics · Linear Equations7th 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: −2x + 10 < −8
Answer: x > 9
- Subtract 10: −2x < −18
- Divide by −2 (negative, so reverse the sign): x > 9
2.Solve: 4x − 2 < −18
Answer: x < −4
- Add 2: 4x < −16
- Divide by 4: x < −4
3.Solve: −4x − 6 ≤ −18
Answer: x ≥ 3
- Add 6: −4x ≤ −12
- Divide by −4 (negative, so reverse the sign): x ≥ 3
4.Solve: −5x + 7 ≤ 12
Answer: x ≥ −1
- Subtract 7: −5x ≤ 5
- Divide by −5 (negative, so reverse the sign): x ≥ −1
5.Solve: 2x + 12 ≤ 10
Answer: x ≤ −1
- Subtract 12: 2x ≤ −2
- Divide by 2: x ≤ −1
6.Solve: −3x + 12 > 36
Answer: x < −8
- Subtract 12: −3x > 24
- Divide by −3 (negative, so reverse the sign): x < −8
7.Solve: 2x − 10 > −18
Answer: x > −4
- Add 10: 2x > −8
- Divide by 2: x > −4
8.Solve: 3x − 9 ≥ 18
Answer: x ≥ 9
- Add 9: 3x ≥ 27
- Divide by 3: x ≥ 9
9.Solve: −2x − 5 ≥ −25
Answer: x ≤ 10
- Add 5: −2x ≥ −20
- Divide by −2 (negative, so reverse the sign): x ≤ 10
10.Solve: −2x + 11 ≥ 11
Answer: x ≤ 0
- Subtract 11: −2x ≥ 0
- Divide by −2 (negative, so reverse the sign): x ≤ 0
11.Solve: 5x − 2 > −7
Answer: x > −1
- Add 2: 5x > −5
- Divide by 5: x > −1
12.Solve: x − 7 < −11
Answer: x < −4
- Add 7: x < −4
- Divide by 1: x < −4
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