10th Grade Solving Linear Inequalities Worksheet — Level 1 — 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 1 — Answers
Solve each inequality the same way you would solve an equation.
1.x + 1 > 1
Answer: x > 0
- Subtract 1 on both sides: x > 1 − 1 = 0
2.2x > 6
Answer: x > 3
- Divide both sides by 2 (positive, so the sign stays): x > 3
3.x + 5 < 4
Answer: x < −1
- Subtract 5 on both sides: x < 4 − 5 = −1
4.x + 4 ≥ 11
Answer: x ≥ 7
- Subtract 4 on both sides: x ≥ 11 − 4 = 7
5.3x < 3
Answer: x < 1
- Divide both sides by 3 (positive, so the sign stays): x < 1
6.x − 9 < −17
Answer: x < −8
- Add 9 on both sides: x < −17 + 9 = −8
7.5x > 30
Answer: x > 6
- Divide both sides by 5 (positive, so the sign stays): x > 6
8.x + 2 < 8
Answer: x < 6
- Subtract 2 on both sides: x < 8 − 2 = 6
9.2x ≥ −14
Answer: x ≥ −7
- Divide both sides by 2 (positive, so the sign stays): x ≥ −7
10.x + 8 ≥ 5
Answer: x ≥ −3
- Subtract 8 on both sides: x ≥ 5 − 8 = −3
11.6x ≤ −6
Answer: x ≤ −1
- Divide both sides by 6 (positive, so the sign stays): x ≤ −1
12.x + 2 > 11
Answer: x > 9
- Subtract 2 on both sides: x > 11 − 2 = 9
Marking tips
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