7th Grade Solving Linear Equations Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 7th Grade linear equations worksheet.
Success TutoringWorksheetsAnswer sheet7th Grade · Mathematics · Linear Equations7th 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.
1.7x = 63
Answer: x = 9
- Divide both sides by 7
- x = 63 ÷ 7 = 9
2.x − 2 = 7
Answer: x = 9
- Add 2 to both sides
- x = 7 + 2 = 9
3.8x = 72
Answer: x = 9
- Divide both sides by 8
- x = 72 ÷ 8 = 9
4.3x = 33
Answer: x = 11
- Divide both sides by 3
- x = 33 ÷ 3 = 11
5.x + 10 = 17
Answer: x = 7
- Subtract 10 from both sides
- x = 17 − 10 = 7
6.7x = 42
Answer: x = 6
- Divide both sides by 7
- x = 42 ÷ 7 = 6
7.x − 20 = −16
Answer: x = 4
- Add 20 to both sides
- x = −16 + 20 = 4
8.x + 5 = 7
Answer: x = 2
- Subtract 5 from both sides
- x = 7 − 5 = 2
9.x − 17 = −7
Answer: x = 10
- Add 17 to both sides
- x = −7 + 17 = 10
10.4x = 12
Answer: x = 3
- Divide both sides by 4
- x = 12 ÷ 4 = 3
11.x + 11 = 22
Answer: x = 11
- Subtract 11 from both sides
- x = 22 − 11 = 11
12.x − 7 = −1
Answer: x = 6
- Add 7 to both sides
- x = −1 + 7 = 6
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.