ITT Technical Institute
Framingham, Massachusetts
Quarter 2 CAD Mathematics
Instructor: Paul Burney

Name __________________________________

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Basic Algebra (Test #1)

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Instructions:

Please solve the following problems. Credit will be given for work completed so make sure to show it!

 

 

1. Solve each of the following for x:
   
   
   x + 1 = 7
   
   
   
   
   
   27 - x = 96
   
   
   
   
   
   28 = 4x
   
   
   
   
   
   6x + 15 = 9x
   
   
   
   
   
   5x + 3 =28
   
   
   
   
   
   3 (2x + 3) = 5x + 8
   
   
   
   
   
   
2. Solve the following for the specified letter:
   
   
   P =3A + 2B for A
   
   
   
   
   
   E = mc² for m
   
   
   
   
   
   
3. For the following word problems, first translate the words into algebra, then solve the equations.
   
   
   Two metal castings weigh a total of 110 pounds. One of the castings weighs 35 pounds more than the other. How much does each one weigh?
   
   
   
   
   
   
   
   
   
   
   
   Two bottles must have a total capacity of 8 liters. If one bottle needs to be three times the size of the other, how many liters does each hold?