Success TutoringWorksheets

10th Grade Solving Linear Equations Worksheet — Level 2 — Answers

Answer sheet with worked solutions for the 10th Grade linear equations worksheet.

Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Linear Equations

10th Grade Solving Linear Equations Worksheet — Level 2 — Answers

Solve each equation. Show every step and check your answer by substituting it back in.

1.2x + 13 = 11

Answer: x = −1

  1. Subtract 13 from both sides: 2x = −2
  2. Divide both sides by 2: x = −1
2.9x − 10 = 44

Answer: x = 6

  1. Add 10 to both sides: 9x = 54
  2. Divide both sides by 9: x = 6
3.2x − 8 = −24

Answer: x = −8

  1. Add 8 to both sides: 2x = −16
  2. Divide both sides by 2: x = −8
4.5x − 10 = 40

Answer: x = 10

  1. Add 10 to both sides: 5x = 50
  2. Divide both sides by 5: x = 10
5.5x + 6 = 61

Answer: x = 11

  1. Subtract 6 from both sides: 5x = 55
  2. Divide both sides by 5: x = 11
6.4x + 11 = −1

Answer: x = −3

  1. Subtract 11 from both sides: 4x = −12
  2. Divide both sides by 4: x = −3
7.5x − 4 = −29

Answer: x = −5

  1. Add 4 to both sides: 5x = −25
  2. Divide both sides by 5: x = −5
8.8x + 9 = −7

Answer: x = −2

  1. Subtract 9 from both sides: 8x = −16
  2. Divide both sides by 8: x = −2
9.7x + 6 = −50

Answer: x = −8

  1. Subtract 6 from both sides: 7x = −56
  2. Divide both sides by 7: x = −8
10.7x − 11 = 66

Answer: x = 11

  1. Add 11 to both sides: 7x = 77
  2. Divide both sides by 7: x = 11
11.4x − 13 = 23

Answer: x = 9

  1. Add 13 to both sides: 4x = 36
  2. Divide both sides by 4: x = 9
12.7x + 14 = 21

Answer: x = 1

  1. Subtract 14 from both sides: 7x = 7
  2. Divide both sides by 7: x = 1
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

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.