MTH 112   Section 85   Unit 5 Quiz

Name_____________________________

Print out this quiz to take it.  Check the printout vs .what is on the screen to make sure all symbols and exponents show up before signing off.

PLEASE SHOW ALL WORK WHERE INDICATED

1) Solve the system  below graphically:      

 x2+ 2y - 5 = 0

3x2 - y - 1 = 0  

[Image]    

   

2)  Solve the system both algebraically  (either substitution or elimination methods) and  graphically:

  SHOW all work.
   x - y = 4

  3x - 2y = 14

 

 

3) Knowing that break-even happens when Revenue equals Cost, answer the following.

If the total cost of running a business is given by the equation

C = 450x + 1000 and the revenue is given by the equation R = 500x , find the sales necessary to break even.

4)  
Use a graphing utility to approximate all points of

intersection of the graph of the system of equations.

x + y = 1

y = ex

       

5) Solve the linear system by the method of elimination:   SHOW all work.

7x - 3y = 26
2x + 5y = 25

6) Suppose the demand and supply equations for a certain product are given by

p = 860 - 0.05x        Demand equation

p = 420 + 0.15x       Supply equation

Find the point (x, p) of equilibrium.     Use any method to solve.. show work or graph depending upon method.

7)  
Using a graphing utility to help if needed,

sketch the graph of the inequality:

3x2 + y > 6.

8)  
Use a graphing utility to help sketch the graph of the system of inequalities.

y  >  - |x + 2|       Hint abs is in MATH>Num  menu on calc.

x < 0

(show the SOLUTION region shaded)


Please fax this quiz  to me  by the end of week 5.

Good luck