7th Grade Solving Linear Equations Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the 7th Grade linear equations worksheet.
7th Grade Solving Linear Equations Worksheet — Level 1 — Practice Set 2 — Answers
Solve each equation. Show every step and check your answer by substituting it back in.
1.x − 13 = −12
Answer: x = 1
- Add 13 to both sides
- x = −12 + 13 = 1
2.x + 4 = 5
Answer: x = 1
- Subtract 4 from both sides
- x = 5 − 4 = 1
3.x − 20 = −12
Answer: x = 8
- Add 20 to both sides
- x = −12 + 20 = 8
4.x − 19 = −14
Answer: x = 5
- Add 19 to both sides
- x = −14 + 19 = 5
5.x + 17 = 21
Answer: x = 4
- Subtract 17 from both sides
- x = 21 − 17 = 4
6.2x = 10
Answer: x = 5
- Divide both sides by 2
- x = 10 ÷ 2 = 5
7.x − 8 = −6
Answer: x = 2
- Add 8 to both sides
- x = −6 + 8 = 2
8.x − 10 = −3
Answer: x = 7
- Add 10 to both sides
- x = −3 + 10 = 7
9.x + 10 = 11
Answer: x = 1
- Subtract 10 from both sides
- x = 11 − 10 = 1
10.6x = 12
Answer: x = 2
- Divide both sides by 6
- x = 12 ÷ 6 = 2
11.x + 12 = 15
Answer: x = 3
- Subtract 12 from both sides
- x = 15 − 12 = 3
12.2x = 22
Answer: x = 11
- Divide both sides by 2
- x = 22 ÷ 2 = 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.