10th Grade Solving Linear Inequalities Worksheet — Level 2 — Practice Set 3 — 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 2 — Practice Set 3 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 7x − 1 > 34
Answer: x > 5
- Add 1: 7x > 35
- Divide by 7: x > 5
2.Solve: 5x − 10 ≤ −40
Answer: x ≤ −6
- Add 10: 5x ≤ −30
- Divide by 5: x ≤ −6
3.Solve: 5x + 5 ≥ 10
Answer: x ≥ 1
- Subtract 5: 5x ≥ 5
- Divide by 5: x ≥ 1
4.Solve: 6x + 7 < 7
Answer: x < 0
- Subtract 7: 6x < 0
- Divide by 6: x < 0
5.Solve: 5x − 1 ≤ 14
Answer: x ≤ 3
- Add 1: 5x ≤ 15
- Divide by 5: x ≤ 3
6.Solve: 6x − 10 < −16
Answer: x < −1
- Add 10: 6x < −6
- Divide by 6: x < −1
7.Solve: 2x + 11 < 21
Answer: x < 5
- Subtract 11: 2x < 10
- Divide by 2: x < 5
8.Solve: 3x − 9 > 12
Answer: x > 7
- Add 9: 3x > 21
- Divide by 3: x > 7
9.Solve: 2x + 5 < −9
Answer: x < −7
- Subtract 5: 2x < −14
- Divide by 2: x < −7
10.Solve: 5x + 11 ≥ 61
Answer: x ≥ 10
- Subtract 11: 5x ≥ 50
- Divide by 5: x ≥ 10
11.Solve: 7x + 7 > −56
Answer: x > −9
- Subtract 7: 7x > −63
- Divide by 7: x > −9
12.Solve: 2x − 1 ≥ 13
Answer: x ≥ 7
- Add 1: 2x ≥ 14
- Divide by 2: x ≥ 7
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
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