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

Name __________________________________

Basic Algebra (Test #1)


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?