7th Grade Solving Linear Equations Worksheet — Level 1 (Set 2) — Answers
Answer sheet with worked solutions for the 7th Grade linear equations worksheet.
7th Grade Solving Linear Equations Worksheet — Level 1 (Set 2) — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.8x = 24
Answer: x = 3
- Divide both sides by 8
- x = 24 ÷ 8 = 3
2.x + 3 = 11
Answer: x = 8
- Subtract 3 from both sides
- x = 11 − 3 = 8
3.x − 12 = −6
Answer: x = 6
- Add 12 to both sides
- x = −6 + 12 = 6
4.x + 13 = 24
Answer: x = 11
- Subtract 13 from both sides
- x = 24 − 13 = 11
5.x − 6 = 5
Answer: x = 11
- Add 6 to both sides
- x = 5 + 6 = 11
6.4x = 4
Answer: x = 1
- Divide both sides by 4
- x = 4 ÷ 4 = 1
7.x − 14 = −4
Answer: x = 10
- Add 14 to both sides
- x = −4 + 14 = 10
8.9x = 72
Answer: x = 8
- Divide both sides by 9
- x = 72 ÷ 9 = 8
9.x + 10 = 16
Answer: x = 6
- Subtract 10 from both sides
- x = 16 − 10 = 6
10.x − 7 = −2
Answer: x = 5
- Add 7 to both sides
- x = −2 + 7 = 5
11.2x = 6
Answer: x = 3
- Divide both sides by 2
- x = 6 ÷ 2 = 3
12.x + 14 = 24
Answer: x = 10
- Subtract 14 from both sides
- x = 24 − 14 = 10
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.