Download MAT 150 Fall 2004

MAT 150 Fall 2005
Test #2
Name:_________________________
Directions: Do all of your work on the “work and answer” document provided. DO NOT WRITE ON
THIS PAPER. No calculators are allowed on this test. The number in parentheses , (#), in front of each
problem, indicate how many points that problem is worth. Show work on all problems that are not
matching or true/false!!!!!!!!!!
1. Sketch an example of each of the following on your work and answer document.
(1)
(1)
(1)
(1)
(1)
I. A graph that has y-axis symmetry (but no other type of symmetry)
II. A graph that has x-axis symmetry (but no other type of symmetry)
III. A graph that has origin symmetry (but no other type of symmetry)
IV. A graph that has NEITHER x-axis, y-axis nor origin symmetry.
V. A graph that has ALL three types of symmetry.
2. (5) Write the equation of a circle in standard form which has endpoints of a diameter (0, 0) and (12, 16)
3. (5) Solve
1
x  6  2  1 3  2 x   5
3
2
4. Write a mathematical equation that could be used to solve the problem. DO NOT SOLVE!
(2)
(1)
(1)
(1)
I. The sum of three consecutive natural numbers is 804. Find the numbers.
II. What is 27% of 45?
III. 459 is what percent of 310?
IV. 70 is 40% of what number?
5. Solve (use any method you like BUT show all of the steps!)
(2) I. 9 x 2  4  0
(3) II. 2 x 2  19 x  33
6. Simplify
(5)
3  i   23  i 
2  3i
7. Solve
(5) x 4  5x 2  36  0
8. Solve
(5) x  31 9x  5
9. Solve
(5) x 2  6 x  3x  18
10. Solve
(5)
3x  5
 2 . Write your answer in interval notation.
x2