Wetzel                                                                                                             

Math 122

Test #1

Read each problem carefully and completely answer each question.

1.)  Given the functions:

            A.)  Find .         __________

            B.)  Find g(3).              __________

            C.)  Find .      __________

            D.)  Write the domain of in interval notation.  ___________________

2.) Write an equation for the line passing through the points (1,3) and (-2,-5).

            __________________

3.)  Write an equation for a line that is parallel to and passes through the point (0,9).

            __________________

4.)  A company that makes t-shirts has a fixed cost of $400 and a cost per unit volume of $3.50. 

            A.)  Find the linear cost function.           C(x) = ___________________

            B.)  Determine the company’s cost of producing 375 t-shirts.  _______________

5.)  Determine if the point (-4,9) is a solution the following system.

6.)  Solve the following system of equations using the SUBSTITUTION method.  If there is no solution write NO SOLUTION, if there are infinitely many solutions write INFINITELY MANY SOLUTIONS.

7.)  Solve the following system of equations using the ELIMINATION method.  If there is no solution write NO SOLUTION, if there are infinitely many solutions write INFINITELY MANY SOLUTIONS.

8.)  Given the following system,

            A.)  Write the system as a matrix.

            B.)  Solve the system.

9.)  Given the following matrices,

            A.)  Find A+D.

            B.)  Find AD.

            C.)  Find -3C.

            D.)  Find A

            E.)  Find DA-5(D+A).