1.

2.
3. What is the focus of a parabola whose equation is (x - 2)^{2} = 4(y + 1)

[1] (2,-1)

[2] (2,1)

[3] (2,0)

[4] (-2,0)

4. The graph at the right shows f (x ) = sin (x ) on the interval from
0 < x < 2π . Function g (x ) will be a transformation of function f such that g (x ) = - f (x ). Which of the following statements will be true?

5. Which of the following is the solution set for the equation ?

6. Following a major renovation, the monthly population of patrons vising a theme park grew according to the model P = 3,000(1.21)^{t} , where P is the population and t is the time in months. Which of the following equations can model the approximate yearly growth rate, assuming this growth continues?

7. Which of the following choices is NOT a real number?

[1] (6 + 2i )(6 - 2i )

[2] (-2 i )^{12}

[3] (3+4i )(-4i )

[4] (7i )(8i )

8. Given function f defined as f (x ) = x ^{2} - 6x + 2. The expression that defines f (x + 3) is:

9. Which expression is equivalent to
10. A home-owner invests $15,000 at an annual interest rate of 4%. What will be the value of this investment after 6 years if the investment is compounded quarterly?

11. Which equation has non-real solutions?

12. The graph of quadratic function f (x ) is shown at the right. What is the remainder when f (x ) is divided by (x + 2)?

13. How many non-real roots does the following polynomial function have?
P (x ) = (x ^{2} - 7) (x ^{2} + 16) (x ^{2} - 4) (3x + 5)

[1] 0

[2] 2

[3] 3

[4] 4

14. You took a summer job, for five weeks, where your salary includes tips. Your take-home pay was recorded in the table at the right. What was the average rate of change in your weekly take-home pay over the five week period?

Week

1

2

3

4

5

Salary

$60

$65

$72

$75

$80

15. When 4x ^{3} + 14x ^{2} - 6x + 1 is divided by (2x - 1) , the quotient may be expressed as:

16.
Determine the points of intersection of x ^{2} + y ^{2} = 400 and y = 3x + 20.

17. A geometric sequence is modeled by the explicit equation a_{n} = 3 • 2^{n - 1} . Which recursive equation also models this geometric sequence?

[1] a _{1} = 3; a_{n} = 2 • ( a _{n - 1} )^{2}

[2] a _{1} = 6; a_{n} = 2 • a _{n - 1}

[3] a _{1} = 6; a_{n} = 3 • a _{n - } _{1}

[4] a _{1} = 3; a_{n} = 2 • a _{n - } _{1}

18. On a standardized test, a score of 84 falls exactly 1.5 standard deviations below the mean. If the standard deviation for the test is 2, what is the mean score for this test?

[1] 82

[2] 82.5

[3] 85.5

[4] 87

19. The expression log_{3} (8 - x ) is defined for all values of x such that

[1] x > 8

[3] x < 8

20. A skateboarding company surveys high school underclassmen as to their favorite primary color. The table below shows the results of the survey.

Student

Blue

Red

Yellow

TOTAL

Freshman

68

41

46

155

Sophomore

84

56

70

210

Junior

59

74

47

180

TOTAL

211

171

163

545

If a junior is randomly selected from this sample set, what is the probability that the student prefers red or yellow?

21. Which of the following expressions is NOT a factor of the expression
2x ^{3} - 7x ^{2} y - 18xy ^{2} + 63y ^{3} ?

22. Which statement is NOT true regarding the graph of the following function?

23. In the polynomial function f (x ) = (2x + 1)(x - 3)(x + 2), on which interval(s) is f (x ) positive?

24. During a 5-hour experiment, the population growth of bacteria increased as shown in the table at the right. The time, t , is expressed in hours. Which model for P (t ), the population of the bacteria after t hours, best fits the data?

Hours

Number

0

250

1

330

2

580

3

800

4

1650

5

3000