Solve the following problems for the missing variable.  Show your work.
Plug your answer back into the original equation to check your answer.

1.    3y + 7 = 8y - 17            2.    8n + 6 = 6            3.    2n + 3n - 6 = .4n + 3.2
 
 
 
 
 
 
 
 
 

4.    5(2n + 4) = 3(3n - 3)                    5.    3c + 4 - 5c = 2c + 5(2c + 4)
 
 
 
 
 
 
 
 
 

6.    Rectangle A has length of 2y cm and a width of 4 cm.
       Square A has sides of length 3y cm.  If the perimeter of the two
       is the same, what is the area of Rectangle A?
                                                                            _____________
 
 
 

7.    Mr. Hickam and Mr. Knight each worked setting up for a dance last night.
       Mr. Hickam got paid $40 for coming and then $11 each hour he worked.
       Mr. Knight got paid $73 for coming but only $5 each hour.  After working
       the same number of hours, they both noticed that they had made the same
       amount of money for the evening.  How many hours did they work?

        ____________
 

8.    The perimeter of a rectangle is 30 cm.  Its width is 2x and its length
       is 3x + 5.  What is its area?
                                                    ___________