1.
Choose the correct simplification of:

[1] 31 - 12i

[2] 23 - 12i

[3] 39 + 4i

[4] 11

2. Find the solution(s) to the equation: x ^{2} - 3x + 5 = 2x + 10

3. Find the value of sin θ , if θ lies in the third quadrant and tan θ = .
4. Solve for x :

5. Which choice is equivalent to:
?

6. Identify the focus and directrix of the quadratic (x - 2)^{2} = 8(y - 3).

7. Which of the following is NOT equivalent to ?

8. What is the quotient?

9. Find the sum of the first 4 terms of a geometric sequence where a _{1} = π + 3 and the common ratio is 4.

[1] 4π + 12

[2] 64π + 192

[3] 85π + 255

[4] 256π + 768

10. If 5x = ln(e ^{16} ), what is the value of x ?

11. A sampling distribution of sample proportions for a specific study has a mean, p , of 0.32 and a sample size of 50. The standard deviation (standard error) of this sampling distribution is 0.066. What is the margin of error for a 95% confidence level?

12. If the probability that an event will occur is , what is the probability that the event will NOT occur?

13. In relation to the functions shown below, choose the best answer.

[1] g (x ) is an even function
[2] h (x ) is an odd function
[3] f (x ) is an odd function
[4] Both g (x ) and j (x ) are odd functions
14. If , which choice represents the inverse function, p ^{-1} (x ) ?

15. Given the equation x (x + 10) = 5 (2 - x ), what is the nature of the roots?

16.
Given f (x ) = | x - 4 | + 2 and g (x ) = 3x - 4, find the x -value(s) that statisfy f (x ) = g(x ).

17. Find the solution set to the equation 2x ^{3} + 3x ^{2} - 32x - 48 = 0.

18. Using the triangle at the right, find the value of
15 sin(A ) + 10 sec(B ) - 8 cot(A ).

[1] 12

[2] 14

[3] 18.5

[4] 32

19. Which of the following represents the sum of a geometric sequence?

20. Jackie's parents invested money at an interest rate of 6% compounded continuously, to save toward Jackie's college education. How much money did the parents invest when Jackie started first grade to accumulate $20,000 after 12 years? Calculations have been rounded to the nearest penny.

21. What is the domain of the function

?

22. A central angle on the unit circle is 80º. Find the length of the arc subtended by this angle.

23. Which of the following expressions is equivalent to ?

24. After hearing complaints from the teachers, a principal wishes to conduct a survey to determine if he needs to take action regarding excessive cell phone usage in the school hallways between classes. Which of the following is the best method for the principal to gather reliable data pertaining to the amount of cell phone usage?