If f(x) and g(x) are inverse functions, use the information shown above to find g(x).
A)
B)
C)
D)
2)
What are the complex zeros of y = x2 + 9?
A)
B)
C)
D)
3)
Best Burgers wants to know what kind of burger they should add to their menu. Whom should they ask?
A)
B)
C)
D)
4)
If g(x) = x3 – 5 and h(x) = 2x – 2, then h(g(-2))= ?
A)
B)
C)
D)
5)
Multiply: (3x + 2)(3x – 2)
A)
B)
C)
D)
6)
Euclid (circa 330 BC) would have been shocked to learn that it is possible to find the sine of a 480° angle, as right triangle trigonometry gives no values for angles larger than 90°.
In fact, though, using the unit circle, it is possible to find sin480° by using the
opposite
hypotenuse
ratio of a ________ angle.
A)
B)
C)
D)
7)
If the arc length of a sector in the unit circle is 4.2, what is the measure of the angle of the sector?
A)
B)
C)
D)
8)
x
1
2
3
4
5
6
f(x)
2
1
0
-1
-2
-3
Based on the table for f(x), what is f-1(-1)?
A)
B)
C)
D)
9)
In January, you deposit $150 into your checking account. Every month after that, you deposit 10% more than you did the month before. How much do you have in your account after your deposit in August?
A)
B)
C)
D)
10)
Find the inverse of f(x) =
x – 1
3
.
A)
B)
C)
D)
11)
Which statement is correct about the function y = 3x2 + 19x – 14?
A)
B)
C)
D)
12)
A rare coinâ€s value, v, in dollars, can be modeled by the function v = 500(1.3)t, where t is the number of years since the coin was purchased. Rewriting the function in which of these ways would be helpful in determining the rate at which the coin is gaining value, per month?
A)
B)
C)
D)
13)
A right triangle has an angle with a sine of 0.6. What is the cosine of the angle?
A)
B)
C)
D)
14)
What is the value of a, if a2 – 64 = 0 and a > 0?
A)
B)
C)
D)
15)
Simplify.
75
3
A)
B)
C)
D)
16)
A local club is holding tryouts for six spots on the soccer team. They have a lot of time before their first tournament, so they are not as worried about skill, as they can teach them that. They want the players with the most heart and eager to learn. Which method would be the best to ensure they select that type of player?
A)
B)
C)
D)
17)
Aaron rolls a die 40 times. On 25 of those rolls, he has a 3. Michelle rolls a die 80 times. On 40 of those rolls, she has a 6. Which statement is TRUE about the experimental and theoretical probabilities?
A)
B)
C)
D)
18)
Number Grade
Letter Grade
85+
A
82 – 84
A-
79 – 81
B+
75 – 78
B
72 -74
B-
69 – 71
C+
65 – 68
C
61 – 64
C-
0 – 60
F
A professor has implemented the following grading system for his class.
Suppose all grades are rounded up. What is the letter grade of someone who received a 78.5?
A)
B)
C)
D)
19)
What is the remainder when x3 + x2 − 5x − 6 is divided by x − 2 ?
A)
B)
C)
D)
20)
Simplify.
10y3 + 5y2
4y2 + y2
A)
B)
C)
D)
21)
Devon decided to rewrite the quadratic equation so that it could be simplified into a square in order to find the zeros.
Which process correctly shows Devon rewriting x2 + 10x + 13 into a square?
A)
B)
C)
D)
22)
Consider the sequence of steps to solve the equation:
x – 3
3
= x + 3
Step 1 ⇒ x – 3 = 3(x + 3) Step 2 ⇒ x – 3 = 3x + 9 Step 3 ⇒ x = 3x + 12 Step 4 ⇒ -2x = 12 Step 5 ⇒ x = -6
Identify the property of equality which yields Step 5.
A)
B)
C)
D)
23)
E-Z View cable company charges a flat rate of $40 per month for service and $4.95 for each pay per view movie. View the Best charges a flat rate of $25 per month and $5.95 for each pay per view. Using the given equations, how many pay per views will generate equal monthly bills from the t
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s value, v, in dollars, can be modeled by the function v = 500(1.3)t, where t is the number of years since the coin was purchased. Rewriting the function in which of these ways would be helpful in determining the rate at which the coin is gaining value, per month?
