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SOLVING EQUATIONS—THE DISTRIBUTIVE PROPERTY #2

 

 

Directions: Solve for x in each equation below.  You can attack this problem several ways.  Example 1 shows you how to use the distributive property to simplify the equations, then use inverse operations to isolate the variable.  Example 2 shows you how to divide both sides by the number being distributed, then use inverse operations to isolate the variable.

                 Examples:   3(2x - 10) = 48      (distribute 3 to each term))         5(2x - 3) = 25      (divide by 5 on both sides)

                                         6x - 30 = 48      (add 30 to both sides)                   2x - 3 = 5        (add  3 to both sides)

                                                 6x = 78     (divide both sides by 6)                       2x = 8       (divide both sides by 2)                                                             

                                                  x = 13                                                               x = 4            

 

1)  4(2x - 10) = 16                     2)  3(4x - 3)  = 27                     3)  2(x - 10) = 60                     4)  4(3x - 4) = 68

 

 

 

 

 

 

 

 

 

  x  =  _________                        x  =  _________                        x  =  _________                       x  =  _________

 

 

5)  5(2x - 3) = 45                     6)  7(4x - 1)  = 49                     7)  2(10x - 10) = 60                     8)  4(3x - 2) = 76

 

 

 

 

 

 

 

 

 

  x  =  _________                        x  =  _________                        x  =  _________                       x  =  _________

 

9)  5(2x - 10) = 30                   10)  2(12x - 1)  = 22                   11)  15(x - 3) = 60                   12)  2(20x - 2) = 36

 

 

 

 

 

 

 

 

 

  x  =  _________                        x  =  _________                        x  =  _________                       x  =  _________