8th Grade Solving Linear Equations Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 8th Grade linear equations worksheet.
Success TutoringWorksheetsAnswer sheet8th Grade · Mathematics · Linear Equations8th Grade Solving Linear Equations Worksheet — Level 3 — Practice Set 3 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.3x − 6 = x + 2
Answer: x = 4
- Subtract 1x from both sides: 2x − 6 = 2
- Add 6: 2x = 8
- Divide by 2: x = 4
2.4x + 5 = 3x + 10
Answer: x = 5
- Subtract 3x from both sides: x + 5 = 10
- Subtract 5: 1x = 5
- Divide by 1: x = 5
3.6(x + 3) = 60
Answer: x = 7
- Expand: 6x + 18 = 60
- Subtract 18: 6x = 42
- Divide by 6: x = 7
4.2(x − 2) = −12
Answer: x = −4
- Expand: 2x − 4 = −12
- Add 4: 2x = −8
- Divide by 2: x = −4
5.6(x − 4) = −60
Answer: x = −6
- Expand: 6x − 24 = −60
- Add 24: 6x = −36
- Divide by 6: x = −6
6.2(x + 7) = 22
Answer: x = 4
- Expand: 2x + 14 = 22
- Subtract 14: 2x = 8
- Divide by 2: x = 4
7.9x + 1 = x + 33
Answer: x = 4
- Subtract 1x from both sides: 8x + 1 = 33
- Subtract 1: 8x = 32
- Divide by 8: x = 4
8.8x + 5 = 5x + 2
Answer: x = −1
- Subtract 5x from both sides: 3x + 5 = 2
- Subtract 5: 3x = −3
- Divide by 3: x = −1
9.8x − 3 = 2x + 15
Answer: x = 3
- Subtract 2x from both sides: 6x − 3 = 15
- Add 3: 6x = 18
- Divide by 6: x = 3
10.2(x + 7) = 38
Answer: x = 12
- Expand: 2x + 14 = 38
- Subtract 14: 2x = 24
- Divide by 2: x = 12
11.5x − 2 = 2x − 29
Answer: x = −9
- Subtract 2x from both sides: 3x − 2 = −29
- Add 2: 3x = −27
- Divide by 3: x = −9
12.3x + 8 = x
Answer: x = −4
- Subtract 1x from both sides: 2x + 8 = 0
- Subtract 8: 2x = −8
- Divide by 2: x = −4
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.