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1. |
Suppose a figure is animated to spin around a certain point. If the image has key points as A(2, 1), B(3, 5) and C(6, 2), and the rotation is about the origin, find the location of these points at a 270° counterclockwise rotation. |
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A. |
A'(1, -2), B'(-5, 3), C'(-2, 6) |
B. |
A'(-2, -1), B'(-3, -5), C'(-6, -2) |
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C. |
A'(-1, 2), B'(-5, 3), C'(-2, 6) |
D. |
A'(1, -2), B'(5, -3), C'(2, -6) |
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Hint |
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2. |
In a polynomial equation, if there is one change in sign of the coefficients of the terms, ____. |
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A. |
there is exactly one positive real zero |
B. |
there could be one or three positive real zeros |
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C. |
none of the above is correct |
D. |
there is one imaginary root |
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Hint |
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3. |
Determine if the function is periodic. If so, state the period. |
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A. |
yes; 2 |
B. |
yes; 1 |
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C. |
no |
D. |
yes; 4 |
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Hint |
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4. |
Which is not a true statement about the properties of the graph of y = cos x? |
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A. |
The maximum values are y = 1 and occur when , where n is an integer. |
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B. |
The x-intercepts are located at , where n is an integer. |
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C. |
The y-intercept is 1. |
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D. |
The period is 2 . |
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Hint |
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5. |
Find the value of csc by referring to the graph of the cosecant function. |
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A. |
0 |
B. |
undefined |
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C. |
-1 |
D. |
1 |
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Hint |
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6. |
Write the equation 3x - 8y = -4 in polar form. Round to the nearest degree. |
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A. |
 |
B. |
 |
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C. |
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D. |
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Hint |
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7. |
Find (1 + i)-6. |
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A. |
 |
B. |
 |
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C. |
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D. |
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Hint |
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8. |
Find the distance between P(5, -3) and the line with equation 5x + 12y = 18. |
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A. |
13 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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9. |
Simplify . |
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A. |
3s2|t|3 |
B. |
3s2|t|5 |
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C. |
3|s|t4 |
D. |
9s2|t|5 |
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Hint |
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10. |
Which equation is represented by the graph? |
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A. |
y = -2e-x |
B. |
y = 2ex |
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C. |
y = -2ex |
D. |
y = 2e |
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Hint |
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11. |
Use the first three terms of the trigonometric series to approximate the value of to four decimal places. |
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A. |
-0.4665 |
B. |
0.0200 |
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C. |
0.0408 |
D. |
1.9800 |
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Hint |
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12. |
If 6 + 8 + 10 + ··· + (4 + 2n) = n(n + 5), which statement verifies that Sn is valid for n = 1? |
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A. |
6 + 8 = 2(2 + 5); 14 = 14 |
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B. |
6 = 1(1 + 5); 6 = 6 |
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C. |
6 + 8 + 10 = 3(3 + 5); 24 = 24 |
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D. |
6 + 8 + 10 + 12 = 4(4 + 5); 36 = 36 |
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Hint |
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13. |
How many different six-letter patterns can be formed from the letters of the word turkey? |
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A. |
720 |
B. |
120 |
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C. |
156 |
D. |
30 |
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Hint |
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14. |
Find a linear equation that can be used as a model for the data shown. |
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A. |
 |
B. |
 |
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C. |
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D. |
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Hint |
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15. |
The function f(x) = |x - 4| + 2 has a critical point at x = 4. Determine if this is the location of a maximum, a minimum or a point of inflection. |
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A. |
There is a point of inflection at (4,2) |
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B. |
There is a maximum at (4,2) |
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C. |
none of these |
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D. |
There is a minimum at (4,2) |
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Hint |
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16. |
Evaluate if and . |
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A. |
60 |
B. |
-39 |
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C. |
21 |
D. |
44 |
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Hint |
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17. |
Write the parametric equations for the line passing through P(3, -4) and parallel to . |
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A. |
x = 1 + 3t and y = 9 – 4t |
B. |
x = t + 3 and y = 9t - 4 |
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C. |
x = 3 + t and y = 4 – 9t |
D. |
x = 3t + 1 and y = 4t - 9 |
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Hint |
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18. |
Find the equation of the hyperbola with foci (6, 4) and (-2, 4) whose transverse axis is 6 units long. |
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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. |
Identify the conic section with equation 4(x + 4) 2 - 3(y + 3) 2 = 12. |
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A. |
circle |
B. |
parabola |
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C. |
ellipse |
D. |
hyperbola |
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Hint |
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20. |
The Consumer Prime Index between 1950 and 1966 can be modeled by the exponential function y = 20.48e0.0442x, where x is the number of years since 1950. Predict the CPI in 2013. |
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A. |
27.1 |
B. |
516.0 |
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C. |
20.0 |
D. |
331.6 |
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Hint |
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