MA 131 Final Examination
October 2009
Name __________________
Open book. Show all work.
- ___ All real numbers are integers.
- true
- false
- ___ All counting numbers are real.
- true
- false
- Using set notation, write: the natural numbers
- Graph on the number line: X + 1 ≤ -1
- Perform the operation: (-2/5)4
- Perform the operation: (- 1/3 + 1/2) -1
- Solve for x: y = (1/3)x + 10
- Solve for x: x/2 + 1/3 = 2
- The sum of 3 consequetive EVEN numbers is 216.
What are those numbers? Show your work.
- 36 is what percent of 150?
- Solve for x: 4x -20 = 2(-x + 30)
- Graph y = 2x + 2
- Graph x -y = 5, what is the slope? the y intercept?
- Graph(sketch) x = 5
- Graph(sketch) y = -1 / (x - 2)
- Write the equation of a line going through (0,1) and (3,5).
- What is the domain and range of y = x 2 + 3 ?
- Graph y = 2|x| + 2 .
- Solve the system of equations by elimination:
X - Y = 1
X + Y = 3
- 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.