10th Grade Solving Linear Equations Worksheet — Level 3 — 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 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.5x − 4 = 3x − 8
Answer: x = −2
- Subtract 3x from both sides: 2x − 4 = −8
- Add 4: 2x = −4
- Divide by 2: x = −2
2.9x − 8 = 6x − 23
Answer: x = −5
- Subtract 6x from both sides: 3x − 8 = −23
- Add 8: 3x = −15
- Divide by 3: x = −5
3.3(x − 6) = −42
Answer: x = −8
- Expand: 3x − 18 = −42
- Add 18: 3x = −24
- Divide by 3: x = −8
4.4(x − 2) = −40
Answer: x = −8
- Expand: 4x − 8 = −40
- Add 8: 4x = −32
- Divide by 4: x = −8
5.5x + 1 = 4x + 11
Answer: x = 10
- Subtract 4x from both sides: x + 1 = 11
- Subtract 1: 1x = 10
- Divide by 1: x = 10
6.3x + 5 = x + 17
Answer: x = 6
- Subtract 1x from both sides: 2x + 5 = 17
- Subtract 5: 2x = 12
- Divide by 2: x = 6
7.6(x − 6) = −18
Answer: x = 3
- Expand: 6x − 36 = −18
- Add 36: 6x = 18
- Divide by 6: x = 3
8.5(x − 1) = 0
Answer: x = 1
- Expand: 5x − 5 = 0
- Add 5: 5x = 5
- Divide by 5: x = 1
9.5x − 6 = 2x − 3
Answer: x = 1
- Subtract 2x from both sides: 3x − 6 = −3
- Add 6: 3x = 3
- Divide by 3: x = 1
10.4(x + 4) = −12
Answer: x = −7
- Expand: 4x + 16 = −12
- Subtract 16: 4x = −28
- Divide by 4: x = −7
11.7x + 9 = 5x + 27
Answer: x = 9
- Subtract 5x from both sides: 2x + 9 = 27
- Subtract 9: 2x = 18
- Divide by 2: x = 9
12.3(x + 7) = 12
Answer: x = −3
- Expand: 3x + 21 = 12
- Subtract 21: 3x = −9
- Divide by 3: x = −3
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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