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9th Grade Solving Linear Equations Worksheet — Level 3 — Practice Set 4 — 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 3 — Practice Set 4 — Answers

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

1.4(x + 6) = 60

Answer: x = 9

  1. Expand: 4x + 24 = 60
  2. Subtract 24: 4x = 36
  3. Divide by 4: x = 9
2.6x − 1 = 4x + 15

Answer: x = 8

  1. Subtract 4x from both sides: 2x − 1 = 15
  2. Add 1: 2x = 16
  3. Divide by 2: x = 8
3.3(x + 2) = 27

Answer: x = 7

  1. Expand: 3x + 6 = 27
  2. Subtract 6: 3x = 21
  3. Divide by 3: x = 7
4.5x + 1 = x + 29

Answer: x = 7

  1. Subtract 1x from both sides: 4x + 1 = 29
  2. Subtract 1: 4x = 28
  3. Divide by 4: x = 7
5.6(x + 8) = 54

Answer: x = 1

  1. Expand: 6x + 48 = 54
  2. Subtract 48: 6x = 6
  3. Divide by 6: x = 1
6.4(x + 6) = −4

Answer: x = −7

  1. Expand: 4x + 24 = −4
  2. Subtract 24: 4x = −28
  3. Divide by 4: x = −7
7.6x + 10 = 2x + 22

Answer: x = 3

  1. Subtract 2x from both sides: 4x + 10 = 22
  2. Subtract 10: 4x = 12
  3. Divide by 4: x = 3
8.6(x + 8) = 36

Answer: x = −2

  1. Expand: 6x + 48 = 36
  2. Subtract 48: 6x = −12
  3. Divide by 6: x = −2
9.2(x − 3) = 6

Answer: x = 6

  1. Expand: 2x − 6 = 6
  2. Add 6: 2x = 12
  3. Divide by 2: x = 6
10.6x − 7 = 2x − 35

Answer: x = −7

  1. Subtract 2x from both sides: 4x − 7 = −35
  2. Add 7: 4x = −28
  3. Divide by 4: x = −7
11.5(x + 6) = 50

Answer: x = 4

  1. Expand: 5x + 30 = 50
  2. Subtract 30: 5x = 20
  3. Divide by 5: x = 4
12.2(x − 4) = 16

Answer: x = 12

  1. Expand: 2x − 8 = 16
  2. Add 8: 2x = 24
  3. Divide by 2: x = 12
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