Success TutoringWorksheets

9th Grade Solving Linear Equations Worksheet — Level 2 — Answers

Answer sheet with worked solutions for the 9th Grade linear equations worksheet.

Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Linear Equations

9th Grade Solving Linear Equations Worksheet — Level 2 — Answers

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

1.7x − 12 = 51

Answer: x = 9

  1. Add 12 to both sides: 7x = 63
  2. Divide both sides by 7: x = 9
2.4x − 5 = −1

Answer: x = 1

  1. Add 5 to both sides: 4x = 4
  2. Divide both sides by 4: x = 1
3.8x + 2 = 34

Answer: x = 4

  1. Subtract 2 from both sides: 8x = 32
  2. Divide both sides by 8: x = 4
4.8x − 10 = −18

Answer: x = −1

  1. Add 10 to both sides: 8x = −8
  2. Divide both sides by 8: x = −1
5.9x + 15 = 87

Answer: x = 8

  1. Subtract 15 from both sides: 9x = 72
  2. Divide both sides by 9: x = 8
6.4x − 5 = 35

Answer: x = 10

  1. Add 5 to both sides: 4x = 40
  2. Divide both sides by 4: x = 10
7.8x + 5 = 101

Answer: x = 12

  1. Subtract 5 from both sides: 8x = 96
  2. Divide both sides by 8: x = 12
8.8x − 2 = 86

Answer: x = 11

  1. Add 2 to both sides: 8x = 88
  2. Divide both sides by 8: x = 11
9.2x + 13 = 37

Answer: x = 12

  1. Subtract 13 from both sides: 2x = 24
  2. Divide both sides by 2: x = 12
10.2x + 7 = 19

Answer: x = 6

  1. Subtract 7 from both sides: 2x = 12
  2. Divide both sides by 2: x = 6
11.3x − 10 = 11

Answer: x = 7

  1. Add 10 to both sides: 3x = 21
  2. Divide both sides by 3: x = 7
12.3x + 9 = 42

Answer: x = 11

  1. Subtract 9 from both sides: 3x = 33
  2. Divide both sides by 3: x = 11
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.