MS 100 College Algebra Quiz one summer 2005 Kosrae Lee Ling

1. For the equation y = −x² + 4

1a. Sketch a graph of the equation.

1b. Find the y-intercept.

1c. Find the x-intercepts.

1d. Determine if the equation has x-axis symmetry, y-axis symmetry, origin symmetry, or no symmetry.

1e. Give an example of an object that follows the path made by the shape created by the equation.

2. For the equation (x+4)² + (y − 4) ² = 121

2a. What is the shape of the graph?

2b. What is the radius for the equation?

2c. What are the coordinates of the center?

3. Solve for x:

4. Is x(x + 30) + 221 = (x +13)(x + 17) an identity or a conditional statement?

5. Find the y-intercept and the x-intercepts for y = −x² − 49

6. A dress that would have been sewn for $15 without tufts is now $25 with tufts. What is the percent change in the price of the dress?

7. I covered 15.5 kilometers in 1.79 hours on my Monday run from Malem to Tafunsak. How long would it take for me to jog the 10 kilometers from Piyuul to Utwe at that pace?

8. The formula for converting Fahrenheit to Celsius is If the temperature on Kosrae today is 85ºF, what is the temperature in Celsius? [Instructional note: the class had never worked a temperature conversion, part of what is being tested is the ability to handle an expression not previously encountered].