7th Grade Solving Linear Inequalities Worksheet — Level 3 — Practice Set 2 — 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 2 — Answers
Solve each inequality. When you multiply or divide both sides by a negative number, reverse the inequality sign.
1.Solve: −3x + 10 ≥ −14
Answer: x ≤ 8
- Subtract 10: −3x ≥ −24
- Divide by −3 (negative, so reverse the sign): x ≤ 8
2.Solve: 5x − 9 ≤ 31
Answer: x ≤ 8
- Add 9: 5x ≤ 40
- Divide by 5: x ≤ 8
3.Solve: −3x − 1 ≤ 8
Answer: x ≥ −3
- Add 1: −3x ≤ 9
- Divide by −3 (negative, so reverse the sign): x ≥ −3
4.Solve: 2x − 2 ≥ −6
Answer: x ≥ −2
- Add 2: 2x ≥ −4
- Divide by 2: x ≥ −2
5.Solve: −x + 6 ≤ 3
Answer: x ≥ 3
- Subtract 6: −x ≤ −3
- Divide by −1 (negative, so reverse the sign): x ≥ 3
6.Solve: −5x + 9 > 29
Answer: x < −4
- Subtract 9: −5x > 20
- Divide by −5 (negative, so reverse the sign): x < −4
7.Solve: −4x + 2 < −46
Answer: x > 12
- Subtract 2: −4x < −48
- Divide by −4 (negative, so reverse the sign): x > 12
8.Solve: −x − 7 < −7
Answer: x > 0
- Add 7: −x < 0
- Divide by −1 (negative, so reverse the sign): x > 0
9.Solve: 5x + 2 > 7
Answer: x > 1
- Subtract 2: 5x > 5
- Divide by 5: x > 1
10.Solve: 6x + 3 > 63
Answer: x > 10
- Subtract 3: 6x > 60
- Divide by 6: x > 10
11.Solve: 5x + 11 ≤ 51
Answer: x ≤ 8
- Subtract 11: 5x ≤ 40
- Divide by 5: x ≤ 8
12.Solve: 2x + 3 ≤ 7
Answer: x ≤ 2
- Subtract 3: 2x ≤ 4
- Divide by 2: x ≤ 2
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