MA 131 Final Examination
October 2009

Name __________________

Open book. Show all work.
  1. ___ All real numbers are integers.
    1. true
    2. false
  2. ___ All counting numbers are real.
    1. true
    2. false
  3. Using set notation, write: the natural numbers


  4. Graph on the number line: X + 1 ≤ -1


  5. Perform the operation: (-2/5)4


  6. Perform the operation: (- 1/3 + 1/2) -1


  7. Solve for x: y = (1/3)x + 10


  8. Solve for x: x/2 + 1/3 = 2


  9. The sum of 3 consequetive EVEN numbers is 216. What are those numbers? Show your work.


  10. 36 is what percent of 150?


  11. Solve for x: 4x -20 = 2(-x + 30)


  12. Graph y = 2x + 2


  13. Graph x -y = 5, what is the slope? the y intercept?


  14. Graph(sketch) x = 5


  15. Graph(sketch) y = -1 / (x - 2)


  16. Write the equation of a line going through (0,1) and (3,5).


  17. What is the domain and range of y = x 2 + 3 ?


  18. Graph y = 2|x| + 2 .


  19. Solve the system of equations by elimination:
    X - Y = 1
    X + Y = 3







  20. Pablo has 1000 kilos of pure cocaine. He wants to dilute it to 20% for distribution on the street. How much sugar must he use? Solve as a system of equations. Show the steps.