Pretest #3 - Sections 7.3 - 8.5

1) Simplify (5 points each).
a) b)

2) Perform the indicated operations (5 points each).
a) b)

3) Rationalize the denominator (5 points each).
a) b) c)

4) Solve and check (10 points):

5) Perform the indicated operations (5 points each).
a) (7 + 3i) - 2(1 - 6i) b) (3 + 2i)(5 + 4i) c)

6) a) Solve by completing the square (5 points):
b) Solve using the quadratic formula (5 points):

7) Solve (5 points each).
a) b)

8) a) Solve for f (5 points):
b) Solve (5 points):

9) Sketch the graph (10 points):

Answers
1a) 1b)

2a) 2b)

3a) 3b) 3c)

4) x = 0

5a) 5 + 15i 5b) 7+22i 5c) (-1-2i)/2

6a) x = -5, c = -9 6b)

7a) 7b) x = 3i, x = -3i, x = 2, x = -2

8a) 8b) x = -27, x = 512

9) The graph is a parabola that opens up. The axis of symmetry is 3 and the vertex is (3,-4). The y-intercept is (0,5) and the symmetrical point is (6,5).