7th Grade Solving Linear Equations Worksheet — Level 1 — 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 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.3x = 30
Answer: x = 10
- Divide both sides by 3
- x = 30 ÷ 3 = 10
2.8x = 32
Answer: x = 4
- Divide both sides by 8
- x = 32 ÷ 8 = 4
3.x + 12 = 19
Answer: x = 7
- Subtract 12 from both sides
- x = 19 − 12 = 7
4.x − 5 = −4
Answer: x = 1
- Add 5 to both sides
- x = −4 + 5 = 1
5.x + 4 = 10
Answer: x = 6
- Subtract 4 from both sides
- x = 10 − 4 = 6
6.x + 16 = 18
Answer: x = 2
- Subtract 16 from both sides
- x = 18 − 16 = 2
7.x − 20 = −13
Answer: x = 7
- Add 20 to both sides
- x = −13 + 20 = 7
8.x + 14 = 15
Answer: x = 1
- Subtract 14 from both sides
- x = 15 − 14 = 1
9.x − 18 = −12
Answer: x = 6
- Add 18 to both sides
- x = −12 + 18 = 6
10.x + 8 = 15
Answer: x = 7
- Subtract 8 from both sides
- x = 15 − 8 = 7
11.x + 18 = 28
Answer: x = 10
- Subtract 18 from both sides
- x = 28 − 18 = 10
12.x + 10 = 11
Answer: x = 1
- Subtract 10 from both sides
- x = 11 − 10 = 1
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.
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