8th Grade Solving Linear Equations Worksheet — Level 2 — 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 2 — Practice Set 4 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.9x + 1 = 19
Answer: x = 2
- Subtract 1 from both sides: 9x = 18
- Divide both sides by 9: x = 2
2.7x − 1 = 76
Answer: x = 11
- Add 1 to both sides: 7x = 77
- Divide both sides by 7: x = 11
3.8x − 12 = −84
Answer: x = −9
- Add 12 to both sides: 8x = −72
- Divide both sides by 8: x = −9
4.5x − 2 = −17
Answer: x = −3
- Add 2 to both sides: 5x = −15
- Divide both sides by 5: x = −3
5.7x + 10 = −11
Answer: x = −3
- Subtract 10 from both sides: 7x = −21
- Divide both sides by 7: x = −3
6.4x + 12 = −8
Answer: x = −5
- Subtract 12 from both sides: 4x = −20
- Divide both sides by 4: x = −5
7.3x + 9 = 3
Answer: x = −2
- Subtract 9 from both sides: 3x = −6
- Divide both sides by 3: x = −2
8.9x + 1 = −53
Answer: x = −6
- Subtract 1 from both sides: 9x = −54
- Divide both sides by 9: x = −6
9.5x − 12 = −7
Answer: x = 1
- Add 12 to both sides: 5x = 5
- Divide both sides by 5: x = 1
10.2x + 11 = 27
Answer: x = 8
- Subtract 11 from both sides: 2x = 16
- Divide both sides by 2: x = 8
11.3x + 14 = −10
Answer: x = −8
- Subtract 14 from both sides: 3x = −24
- Divide both sides by 3: x = −8
12.8x + 9 = 33
Answer: x = 3
- Subtract 9 from both sides: 8x = 24
- Divide both sides by 8: x = 3
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.