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1. |
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A. |
The product doesn't exist. |
B. |
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C. |
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D. |
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Hint |
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2. |
If x and y are acute angles such that sin x =  and sin y =  , what is the value of cos (x - y)? |
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A. |
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B. |
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C. |
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D. |
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Hint |
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3. |
Use a half-angle identity to find the exact value of sin 67.5°. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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4. |
Find sin 2 if sin =  and 0° < < 90°. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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5. |
Complete the identity  = ________. |
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A. |
cot x |
B. |
sin x |
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C. |
cos x |
D. |
tan x |
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Hint |
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6. |
What is the distance from the origin to the graph of 3x + 4y + 12 = 0? |
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A. |
5 |
B. |
12 |
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C. |
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D. |
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Hint |
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7. |
In a circuit with alternating current,  , where E represents voltage, I current, and Z impedance. Determine the voltage in a circuit where there is a current of  amps and an impedance of  ohms. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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8. |
Write the equation of the ellipse whose center is at the origin, a = 6, and  . |
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A. |
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B. |
 or |
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C. |
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D. |
 or  |
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Hint |
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9. |
For the graph of y = bx, the domain is _____. |
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A. |
all real numbers  |
B. |
all real numbers |
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C. |
all real numbers > 0 |
D. |
all real numbers  |
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Hint |
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10. |
Find the number of five-letter patterns that can be formed using the letters of the word motto. |
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A. |
15 |
B. |
30 |
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C. |
60 |
D. |
120 |
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Hint |
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11. |
Find the maximum value of f(x, y) =  x - 4y for the system of inequalities.
2x + y  3
2x + y  -2
y 4
x < 1 |
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A. |
16 |
B. |
-17 |
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C. |
-3 |
D. |
-16 |
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Hint |
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12. |
Which best describes this graph? |
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A. |
inverse variation |
B. |
direct variation |
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C. |
joint variation |
D. |
none of these |
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Hint |
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13. |
For the line given by the equation 5x - 7y + 24, what is the angle formed by the x-axis and the normal through the origin? |
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A. |
36° |
B. |
54° |
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C. |
126° |
D. |
144° |
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Hint |
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14. |
Let C = (4, 17), D. = (-11, 2). Write  as a sum of unit vectors. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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15. |
Find the magnitude of the vector from the origin to point P(7, -5, 23). |
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A. |
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B. |
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C. |
5 |
D. |
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Hint |
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16. |
Write the equation of a circle that passes through points (1, 2), (-1, 4) and (-3, 2) in standard form. |
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A. |
(x + 1) 2 + (y - 3) 2 = 4 |
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B. |
(x + 1)2 + (y - 2) 2 = 4 |
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C. |
(x - 1) 2 + (y - 2) 2 = 4 |
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D. |
(x - 1) 2 + (y + 3) 2 = 4 |
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Hint |
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17. |
Find the coordinates of the center of the hyperbola with an equation of  |
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A. |
(2 -6) |
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B. |
(-2, 6) |
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C. |
(-6, 2) |
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D. |
(6, -2) |
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Hint |
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18. |
Write the series 9 + 12 + 15 + 18 + … + 57 in sigma notation. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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19. |
The mean of a set of normally distributed data is 65 and the standard deviation is 13. Using the partial table below, what percent of the data is between 40 and 56? |
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A. |
26.80% |
B. |
21.40% |
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C. |
42.70% |
D. |
30.50% |
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Hint |
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20. |
Use limits to find the area between the graph of  and the x-axis from x = 0 to x = 4. |
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A. |
32 |
B. |
128 |
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C. |
64 |
D. |
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Hint |
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