8th Grade Solving Linear Equations Worksheet — Level 3 — Practice Set 4 — 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 4 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.8x − 6 = x − 13
Answer: x = −1
- Subtract 1x from both sides: 7x − 6 = −13
- Add 6: 7x = −7
- Divide by 7: x = −1
2.6(x − 7) = −36
Answer: x = 1
- Expand: 6x − 42 = −36
- Add 42: 6x = 6
- Divide by 6: x = 1
3.4(x − 2) = 0
Answer: x = 2
- Expand: 4x − 8 = 0
- Add 8: 4x = 8
- Divide by 4: x = 2
4.9x − 8 = 4x + 22
Answer: x = 6
- Subtract 4x from both sides: 5x − 8 = 22
- Add 8: 5x = 30
- Divide by 5: x = 6
5.9x − 7 = 3x + 17
Answer: x = 4
- Subtract 3x from both sides: 6x − 7 = 17
- Add 7: 6x = 24
- Divide by 6: x = 4
6.3x − 8 = 2x − 7
Answer: x = 1
- Subtract 2x from both sides: x − 8 = −7
- Add 8: 1x = 1
- Divide by 1: x = 1
7.3(x − 3) = −6
Answer: x = 1
- Expand: 3x − 9 = −6
- Add 9: 3x = 3
- Divide by 3: x = 1
8.5(x + 1) = 20
Answer: x = 3
- Expand: 5x + 5 = 20
- Subtract 5: 5x = 15
- Divide by 5: x = 3
9.9x + 5 = 6x + 8
Answer: x = 1
- Subtract 6x from both sides: 3x + 5 = 8
- Subtract 5: 3x = 3
- Divide by 3: x = 1
10.4(x − 3) = 8
Answer: x = 5
- Expand: 4x − 12 = 8
- Add 12: 4x = 20
- Divide by 4: x = 5
11.2(x + 6) = 6
Answer: x = −3
- Expand: 2x + 12 = 6
- Subtract 12: 2x = −6
- Divide by 2: x = −3
12.6(x + 6) = 48
Answer: x = 2
- Expand: 6x + 36 = 48
- Subtract 36: 6x = 12
- Divide by 6: x = 2
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.