7th Grade Solving Linear Inequalities Worksheet — Level 1 — Practice Set 3 — 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 1 — Practice Set 3 — Answers
Solve each inequality the same way you would solve an equation.
1.4x ≥ 32
Answer: x ≥ 8
- Divide both sides by 4 (positive, so the sign stays): x ≥ 8
2.9x ≤ −18
Answer: x ≤ −2
- Divide both sides by 9 (positive, so the sign stays): x ≤ −2
3.x + 5 > 1
Answer: x > −4
- Subtract 5 on both sides: x > 1 − 5 = −4
4.5x > 50
Answer: x > 10
- Divide both sides by 5 (positive, so the sign stays): x > 10
5.x + 4 > 10
Answer: x > 6
- Subtract 4 on both sides: x > 10 − 4 = 6
6.6x ≤ 36
Answer: x ≤ 6
- Divide both sides by 6 (positive, so the sign stays): x ≤ 6
7.9x > −63
Answer: x > −7
- Divide both sides by 9 (positive, so the sign stays): x > −7
8.2x > −2
Answer: x > −1
- Divide both sides by 2 (positive, so the sign stays): x > −1
9.5x ≥ −5
Answer: x ≥ −1
- Divide both sides by 5 (positive, so the sign stays): x ≥ −1
10.6x > 24
Answer: x > 4
- Divide both sides by 6 (positive, so the sign stays): x > 4
11.4x > 32
Answer: x > 8
- Divide both sides by 4 (positive, so the sign stays): x > 8
12.x + 3 ≤ 6
Answer: x ≤ 3
- Subtract 3 on both sides: x ≤ 6 − 3 = 3
Marking tips
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