8th Grade Solving Linear Equations Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 8th Grade linear equations worksheet.
8th Grade Solving Linear Equations Worksheet — Level 1 — Practice Set 3 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.x − 5 = 1
Answer: x = 6
- Add 5 to both sides
- x = 1 + 5 = 6
2.x − 20 = −9
Answer: x = 11
- Add 20 to both sides
- x = −9 + 20 = 11
3.x + 19 = 22
Answer: x = 3
- Subtract 19 from both sides
- x = 22 − 19 = 3
4.x + 1 = 8
Answer: x = 7
- Subtract 1 from both sides
- x = 8 − 1 = 7
5.x + 11 = 16
Answer: x = 5
- Subtract 11 from both sides
- x = 16 − 11 = 5
6.x − 2 = 0
Answer: x = 2
- Add 2 to both sides
- x = 0 + 2 = 2
7.6x = 24
Answer: x = 4
- Divide both sides by 6
- x = 24 ÷ 6 = 4
8.x − 12 = −2
Answer: x = 10
- Add 12 to both sides
- x = −2 + 12 = 10
9.x + 6 = 16
Answer: x = 10
- Subtract 6 from both sides
- x = 16 − 6 = 10
10.3x = 24
Answer: x = 8
- Divide both sides by 3
- x = 24 ÷ 3 = 8
11.x + 8 = 11
Answer: x = 3
- Subtract 8 from both sides
- x = 11 − 8 = 3
12.x − 15 = −4
Answer: x = 11
- Add 15 to both sides
- x = −4 + 15 = 11
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.