10th Grade Solving Linear Equations Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 10th Grade linear equations worksheet.
10th 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.x + 2 = 6
Answer: x = 4
- Subtract 2 from both sides
- x = 6 − 2 = 4
2.7x = 63
Answer: x = 9
- Divide both sides by 7
- x = 63 ÷ 7 = 9
3.x + 10 = 18
Answer: x = 8
- Subtract 10 from both sides
- x = 18 − 10 = 8
4.x − 11 = −10
Answer: x = 1
- Add 11 to both sides
- x = −10 + 11 = 1
5.6x = 60
Answer: x = 10
- Divide both sides by 6
- x = 60 ÷ 6 = 10
6.4x = 32
Answer: x = 8
- Divide both sides by 4
- x = 32 ÷ 4 = 8
7.x − 2 = 2
Answer: x = 4
- Add 2 to both sides
- x = 2 + 2 = 4
8.x − 5 = 1
Answer: x = 6
- Add 5 to both sides
- x = 1 + 5 = 6
9.4x = 16
Answer: x = 4
- Divide both sides by 4
- x = 16 ÷ 4 = 4
10.9x = 81
Answer: x = 9
- Divide both sides by 9
- x = 81 ÷ 9 = 9
11.x + 10 = 14
Answer: x = 4
- Subtract 10 from both sides
- x = 14 − 10 = 4
12.x − 19 = −14
Answer: x = 5
- Add 19 to both sides
- x = −14 + 19 = 5
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.