8th Grade Solving Linear Equations Worksheet — Level 1 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 8th Grade linear equations worksheet.
8th Grade Solving Linear Equations Worksheet — Level 1 — Practice Set 4 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.x + 19 = 30
Answer: x = 11
- Subtract 19 from both sides
- x = 30 − 19 = 11
2.x + 9 = 11
Answer: x = 2
- Subtract 9 from both sides
- x = 11 − 9 = 2
3.5x = 50
Answer: x = 10
- Divide both sides by 5
- x = 50 ÷ 5 = 10
4.6x = 54
Answer: x = 9
- Divide both sides by 6
- x = 54 ÷ 6 = 9
5.x − 5 = −4
Answer: x = 1
- Add 5 to both sides
- x = −4 + 5 = 1
6.x − 20 = −16
Answer: x = 4
- Add 20 to both sides
- x = −16 + 20 = 4
7.9x = 63
Answer: x = 7
- Divide both sides by 9
- x = 63 ÷ 9 = 7
8.2x = 24
Answer: x = 12
- Divide both sides by 2
- x = 24 ÷ 2 = 12
9.x + 13 = 23
Answer: x = 10
- Subtract 13 from both sides
- x = 23 − 13 = 10
10.5x = 5
Answer: x = 1
- Divide both sides by 5
- x = 5 ÷ 5 = 1
11.x − 5 = 3
Answer: x = 8
- Add 5 to both sides
- x = 3 + 5 = 8
12.x − 8 = 3
Answer: x = 11
- Add 8 to both sides
- x = 3 + 8 = 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.