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Practice

1.7.5 Practice

1.7.5 • Practice

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

For questions 1 – 3, choose an equivalent equation.

  1. Which equation is equivalent to 3 x + 6 = 4 x + 7 ?
  1. 3 x = 4 x + 7
  2. 3 x − 1 = 4 x
  3. 9 x = 4 x + 7
  4. 3 x + 18 = 4 x + 7
  5. 7 x = 1
  1. Which equation is equivalent to 3 ( x + 6 ) = 4 x + 7 ?
  1. 3 x = 4 x + 7
  2. 3 x − 1 = 4 x
  3. 9 x = 4 x + 7
  4. 3 x + 18 = 4 x + 7
  5. 7 x = 1
  1. Which equation is equivalent to 4 x + 3 x = 7 − 6 ?
  1. 3 x = 4 x + 7
  2. 3 x − 1 = 4 x
  3. 9 x = 4 x + 7
  4. 3 x + 18 = 4 x + 7
  5. 7 x = 1
  1. Select three equations that have 0 as a solution.
    1. 2 x + 10 = 4 x + 10
    2. 4 x = 9 x
    3. 2 x − 3 + 4 x = 4 − 7
    4. 5 x + 7 = 0
    5. 3 ( x − 2 ) = 9
  1. Which equation is equivalent to 6 ( x − 3 ) = 24 ?
  1. 6 x = 27
  2. 6 x = 21
  3. x − 3 = 4
  4. 6 x − 3 = 24
  1. Which of the following sets of equations are equivalent to each other?
  1. 6 x − 4 = 11 and 6 x = 7
  2. 5 x − 2 = 7 x + 4 and 12 x − 2 = 4
  3. 7 ( x + 2 ) = 21 and 7 x + 2 = 21
  4. 10 ( x + 9 ) = 50 and 2 ( x + 9 ) = 10
  1. Using the distributive property, choose which equation would be an equivalent equation to 3 ( x − 2 ) = 7 .
  1. 3 x = 9
  2. x − 2 = 4
  3. 3 x − 6 = 7
  4. 3 x − 2 = 7