7th Grade Solving Linear Inequalities Worksheet — Level 1 — 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 — Answers
Solve each inequality the same way you would solve an equation.
1.4x < −8
Answer: x < −2
- Divide both sides by 4 (positive, so the sign stays): x < −2
2.7x > −35
Answer: x > −5
- Divide both sides by 7 (positive, so the sign stays): x > −5
3.5x ≥ 10
Answer: x ≥ 2
- Divide both sides by 5 (positive, so the sign stays): x ≥ 2
4.2x ≤ −12
Answer: x ≤ −6
- Divide both sides by 2 (positive, so the sign stays): x ≤ −6
5.2x > 0
Answer: x > 0
- Divide both sides by 2 (positive, so the sign stays): x > 0
6.x − 3 > 8
Answer: x > 11
- Add 3 on both sides: x > 8 + 3 = 11
7.6x < 72
Answer: x < 12
- Divide both sides by 6 (positive, so the sign stays): x < 12
8.8x ≥ 32
Answer: x ≥ 4
- Divide both sides by 8 (positive, so the sign stays): x ≥ 4
9.4x ≥ −24
Answer: x ≥ −6
- Divide both sides by 4 (positive, so the sign stays): x ≥ −6
10.x + 3 < −3
Answer: x < −6
- Subtract 3 on both sides: x < −3 − 3 = −6
11.9x ≤ −72
Answer: x ≤ −8
- Divide both sides by 9 (positive, so the sign stays): x ≤ −8
12.x + 1 > −5
Answer: x > −6
- Subtract 1 on both sides: x > −5 − 1 = −6
Marking tips
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