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Practice

1.6.5 Practice

1.6.5 • Practice

Complete the following questions to practice the skills you have learned in this lesson.

  1. Select three equations that have the same solution as the equation 3 x − 12 = 24 .
    1. 15 x − 60 = 120
    2. 3 x = 12
    3. 3 x = 36
    4. x − 4 = 8
    5. 12 x − 12 = 24
  1. Select three equations that have the same solution as 2 x − 5 = 15 .
    1. 2 x = 10
    2. 2 x = 20
    3. 2 ( x − 5 ) = 15
    4. 2 x − 20 = 0
    5. 4 x − 10 = 30
    6. 15 = 5 − 2 x
  1. Select four of the equations that are equivalent to: x + 0.4 x − 4.2 = 12.8 .
    1. 1.4 x − 4.2 = 12.8
    2. 1.4 x = 8.6
    3. 1.4 x = 17
    4. 14 x − 42 = 128
    5. 10 x + 4 x − 42 = 12.8
    6. 14 x = 170
  1. Select two of the following that are equivalent to 3 x − 6 = 12.
    1. 3 x = 6
    2. 3 ( x − 2 ) = 12
    3. x − 2 = 4
    4. x − 2 = 12
    5. x − 6 = 4
  1. Identify which step the mistake is made in finding an equivalent equation to 2 ( x − 4 ) = 16 .
  • Step 1: 2 x − 4 = 16
  • Step 2: 2 x = 20
  • Step 3: x = 10
  1. Step 1
  2. Step 2
  3. Step 3
  1. Identify which step the mistake is made in finding an equivalent equation to 2 x + 3 x − 4 = 20 .
  • Step 1: 5 x − 4 = 20
  • Step 2: 5 x = 16
  • Step 3: x = 16 / 5
  1. Step 1
  2. Step 2
  3. Step 3
  1. Identify which step the mistake is made in finding an equivalent equation to 7 x − 4 x − 5 = 16 .
  • Step 1: 3 x − 5 = 16
  • Step 2: 3 x = 21
  • Step 3: x = 62
  1. Step 1
  2. Step 2
  3. Step 3
  1. Fill in the blank to complete the equivalent equation to 3 ( x − 5 ) = 30 .
  • 3 x − ____ = 30
  1. Fill in the blank to complete the equivalent equation to x 2 − 5 = 11 .
  • x − ______ = 22
  1. Fill in the blank to complete the equivalent equation to 3 ( x − 9 ) = 24 .
  • x − ____ = 8