10th Grade Solving Linear Inequalities Worksheet — Level 2 — 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 — Answers
Solve each inequality the same way you would solve an equation.
1.Solve: 7x + 8 ≥ −20
Answer: x ≥ −4
- Subtract 8: 7x ≥ −28
- Divide by 7: x ≥ −4
2.Solve: 2x − 12 ≥ −20
Answer: x ≥ −4
- Add 12: 2x ≥ −8
- Divide by 2: x ≥ −4
3.Solve: 6x − 5 < 55
Answer: x < 10
- Add 5: 6x < 60
- Divide by 6: x < 10
4.Solve: 6x − 6 ≥ 36
Answer: x ≥ 7
- Add 6: 6x ≥ 42
- Divide by 6: x ≥ 7
5.Solve: 3x − 5 ≤ −8
Answer: x ≤ −1
- Add 5: 3x ≤ −3
- Divide by 3: x ≤ −1
6.Solve: 2x − 1 > 21
Answer: x > 11
- Add 1: 2x > 22
- Divide by 2: x > 11
7.Solve: 7x − 3 ≤ 4
Answer: x ≤ 1
- Add 3: 7x ≤ 7
- Divide by 7: x ≤ 1
8.Solve: 4x + 2 > 22
Answer: x > 5
- Subtract 2: 4x > 20
- Divide by 4: x > 5
9.Solve: 5x + 6 < 1
Answer: x < −1
- Subtract 6: 5x < −5
- Divide by 5: x < −1
10.Solve: 4x + 2 > −26
Answer: x > −7
- Subtract 2: 4x > −28
- Divide by 4: x > −7
11.Solve: 3x − 11 > 1
Answer: x > 4
- Add 11: 3x > 12
- Divide by 3: x > 4
12.Solve: 7x − 6 < −34
Answer: x < −4
- Add 6: 7x < −28
- Divide by 7: x < −4
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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