10th Grade Solving Linear Equations Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the 10th Grade linear equations worksheet.
Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Linear Equations10th Grade Solving Linear Equations Worksheet — Level 3 — Practice Set 2 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.3(x − 6) = −27
Answer: x = −3
- Expand: 3x − 18 = −27
- Add 18: 3x = −9
- Divide by 3: x = −3
2.3(x − 1) = 24
Answer: x = 9
- Expand: 3x − 3 = 24
- Add 3: 3x = 27
- Divide by 3: x = 9
3.3x − 6 = 2x − 4
Answer: x = 2
- Subtract 2x from both sides: x − 6 = −4
- Add 6: 1x = 2
- Divide by 1: x = 2
4.6(x + 4) = −24
Answer: x = −8
- Expand: 6x + 24 = −24
- Subtract 24: 6x = −48
- Divide by 6: x = −8
5.2(x + 6) = 32
Answer: x = 10
- Expand: 2x + 12 = 32
- Subtract 12: 2x = 20
- Divide by 2: x = 10
6.7x + 4 = 3x − 16
Answer: x = −5
- Subtract 3x from both sides: 4x + 4 = −16
- Subtract 4: 4x = −20
- Divide by 4: x = −5
7.3x − 1 = 2x − 5
Answer: x = −4
- Subtract 2x from both sides: x − 1 = −5
- Add 1: 1x = −4
- Divide by 1: x = −4
8.5(x + 2) = 25
Answer: x = 3
- Expand: 5x + 10 = 25
- Subtract 10: 5x = 15
- Divide by 5: x = 3
9.3(x + 8) = 12
Answer: x = −4
- Expand: 3x + 24 = 12
- Subtract 24: 3x = −12
- Divide by 3: x = −4
10.5x + 10 = 4x + 21
Answer: x = 11
- Subtract 4x from both sides: x + 10 = 21
- Subtract 10: 1x = 11
- Divide by 1: x = 11
11.4(x − 8) = −36
Answer: x = −1
- Expand: 4x − 32 = −36
- Add 32: 4x = −4
- Divide by 4: x = −1
12.2(x + 7) = 22
Answer: x = 4
- Expand: 2x + 14 = 22
- Subtract 14: 2x = 8
- Divide by 2: x = 4
Marking tips
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