7th Grade Solving Linear Equations Worksheet — Level 1 — Practice Set 4 — 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 4 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.x − 18 = −12
Answer: x = 6
- Add 18 to both sides
- x = −12 + 18 = 6
2.x − 9 = 1
Answer: x = 10
- Add 9 to both sides
- x = 1 + 9 = 10
3.x + 7 = 18
Answer: x = 11
- Subtract 7 from both sides
- x = 18 − 7 = 11
4.x + 8 = 16
Answer: x = 8
- Subtract 8 from both sides
- x = 16 − 8 = 8
5.7x = 49
Answer: x = 7
- Divide both sides by 7
- x = 49 ÷ 7 = 7
6.x − 6 = 3
Answer: x = 9
- Add 6 to both sides
- x = 3 + 6 = 9
7.5x = 20
Answer: x = 4
- Divide both sides by 5
- x = 20 ÷ 5 = 4
8.x + 11 = 15
Answer: x = 4
- Subtract 11 from both sides
- x = 15 − 11 = 4
9.x − 7 = 3
Answer: x = 10
- Add 7 to both sides
- x = 3 + 7 = 10
10.x − 20 = −15
Answer: x = 5
- Add 20 to both sides
- x = −15 + 20 = 5
11.x + 2 = 11
Answer: x = 9
- Subtract 2 from both sides
- x = 11 − 2 = 9
12.x − 3 = 0
Answer: x = 3
- Add 3 to both sides
- x = 0 + 3 = 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.