ITT Technical Institute

Framingham, Massachusetts

Quarter 2 CAD Mathematics

Instructor: Paul BurneyName __________________________________

Basic Algebra (Test #1)

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

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

Solve the following for the specified letter:

P =3A + 2B for A

E = mc^{2}for m

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?