Pretest #1 - Chapters 1-2.2

Each question is worth 10 points.
1. Solve for x:

a. b.

2. a. Solve and check: +1 = x

b. Solve for :

3. Perform the indicated operations:
a. (-4 + i) - (2 - 5i) b. (6 + 5i)(2 - 3i) c.

4. Solve.
a. | 5 - 2x | = 8 b. | 2x - 3 | < 5

5. Solve, graph, and write the answer in interval notation.

a. b.

6. Solve the inequality. Write your solution in interval notation and graph:

7. a. Find the equation of the circle that has a center of (-2,4) and passes through (2,7).

b. Graph the circle from part a.

8. Find the equation of the line.
a. passing through (-3,-5) and (1, -1).

b. passing through (-1,7) and perpendicular to 2x - 3y = 18

9. a. Determine if the following are functions.

1) {(3,2), (-2, 4),(3,-1)} 2) {(4,-5),(3,2),(7,4)}

b. Find the domain and range of the function.

10. Given f(x) =

a. f(-3) b. f (y + 1) c) the domain of f(x)

Answers
1a. no solution (x = -4 isn't part of the domain) 1b. x = 0, 5, -3
2a. x = 4 (x = 0) doesn't check 2b.
3a. -6 + 6i 3b. 27 - 8i 3c.
4a. x = -3/2, 13/2 4b. -1 < x < 4

5a.

5b.

6.
7a.
7b.

8a. y = x - 2 8b. y = (-3/2)x + 11/2
9a. 1. no 2. yes 9b. domain: {4,3,7} range: {-5,2,4}
10a. 1/20 10b. 10c. all real numbers except 1 and 2.