9th Grade Solving Linear Inequalities Worksheet — Level 1 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 9th Grade linear equations worksheet.
Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Linear Equations9th Grade Solving Linear Inequalities Worksheet — Level 1 — Practice Set 4 — Answers
Solve each inequality the same way you would solve an equation.
1.9x > −63
Answer: x > −7
- Divide both sides by 9 (positive, so the sign stays): x > −7
2.8x ≥ −56
Answer: x ≥ −7
- Divide both sides by 8 (positive, so the sign stays): x ≥ −7
3.5x ≥ −40
Answer: x ≥ −8
- Divide both sides by 5 (positive, so the sign stays): x ≥ −8
4.8x ≤ −56
Answer: x ≤ −7
- Divide both sides by 8 (positive, so the sign stays): x ≤ −7
5.9x > 108
Answer: x > 12
- Divide both sides by 9 (positive, so the sign stays): x > 12
6.x − 3 < 2
Answer: x < 5
- Add 3 on both sides: x < 2 + 3 = 5
7.x + 4 > −5
Answer: x > −9
- Subtract 4 on both sides: x > −5 − 4 = −9
8.x − 7 > −3
Answer: x > 4
- Add 7 on both sides: x > −3 + 7 = 4
9.x − 5 ≤ −10
Answer: x ≤ −5
- Add 5 on both sides: x ≤ −10 + 5 = −5
10.4x ≤ 32
Answer: x ≤ 8
- Divide both sides by 4 (positive, so the sign stays): x ≤ 8
11.x + 3 ≤ 0
Answer: x ≤ −3
- Subtract 3 on both sides: x ≤ 0 − 3 = −3
12.8x ≥ 48
Answer: x ≥ 6
- Divide both sides by 8 (positive, so the sign stays): x ≥ 6
Marking tips
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