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1. |
The roots of the equation x2 - 8x - 20 = 0 are ____. |
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A. |
-2 and -10 |
B. |
2 and 10 |
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C. |
-2 and 10 |
D. |
2 and -10 |
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Hint |
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2. |
Find the rational zeros of the equation 2x4 - x3 - 21x2 + 9x + 27 = 0. |
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A. |
3, -3, -1,  |
B. |
3, 1, -1,  |
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C. |
3, -3, -1,  |
D. |
3, 1, -1,  |
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Hint |
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3. |
Evaluate sin (arctan ). Assume that the angle is in Quadrant I. |
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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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4. |
In Hero's Formula, to find the area of a triangle, s in the formula represents ______. |
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A. |
the semiperimeter of the triangle |
B. |
the perimeter of the triangle |
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C. |
the sum of any two of the three sides of the triangle |
D. |
none of these |
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Hint |
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5. |
State the amplitude for the function y = - cos . |
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A. |
- |
B. |
1 |
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C. |
 |
D. |
- |
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Hint |
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6. |
State the period for the function . |
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A. |
2 |
B. |
4 |
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C. |
8 |
D. |
16 |
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Hint |
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7. |
State the amplitude and period for the function y = -3 sin 3 . |
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A. |
3;  |
B. |
-3;  |
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C. |
-3;  |
D. |
3;  |
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Hint |
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8. |
State the amplitude, period, phase shift, and vertical shift for
 |
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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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9. |
Which equation could represent a rose with 5 petals? |
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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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10. |
Write the polar equation in rectangular form. |
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A. |
x2 + y2 = 4x |
B. |
x + y = 2x2 |
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C. |
x + y = 4x |
D. |
x2 + y2 = 2x |
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Hint |
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11. |
Make a sketch to show the vectors for an airplane traveling at 220 miles per hour at an angle of 31° from the wind. |
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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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12. |
Solve the system of equations algebraically. x2 - y2 = 12 x2 + 2y2 = 24 |
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A. |
no solution |
B. |
(2, 4), (-2, -4) |
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C. |
(4, 2), (-4, -2) |
D. |
(±4, 2), (±4, -2) |
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Hint |
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13. |
Use the first three terms of the exponential series and a calculator to approximate the value of e1.85 to the nearest hundredth. |
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A. |
5.62 |
B. |
4.56 |
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C. |
6.36 |
D. |
2.85 |
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Hint |
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14. |
Which of the following is not true about mathematical induction? |
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A. |
Since Sn is valid for n = 1, it is valid for n = 2. Since it is valid for n = 2, it is valid for n = 3, and so on, indefinitely. |
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B. |
The first possible case is always n = 1. |
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C. |
Mathematical induction depends on a recursive process. |
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D. |
It can be used to prove . |
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Hint |
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15. |
A quadrilateral with vertices A(-2,-3), B(-4,2), C(-2,4) and D(0,2) is translated 5 units to the right and 3 units down. What are the new coordinates? |
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A. |
A(-5,2), B(-7, 7), C(-5, 9), D(-3, 7) |
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B. |
A(3,-6), B(1,-1), C(3,1), D(5,-1) |
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C. |
A(3,0), B(-1,5), C(3,7), D(5,5) |
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D. |
A(3,-6), B(1,-1), C(3,7), D(5,5) |
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Hint |
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16. |
Find the distance from the origin to the graph of 2x + y = 15. |
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A. |
 |
B. |
 |
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C. |
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D. |
undefined (cannot divide by zero) |
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Hint |
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17. |
Write a vector equation for the line passing through P(3, -4) and parallel to . |
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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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18. |
Given the coordinates of a rectangular prism, represent them as a vertex matrix: A(1, 5, 3), B (1, 5, -1), C (1, -3, -1), D (1, -3, 3), E (-4, 5, 3), F (-4, 5, -1), G (-4, -3, -1), H (-4, -3, 3) |
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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 graph of 8 + 8 cos is a ________. |
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A. |
rose |
B. |
limaçon |
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C. |
spiral of Archimedes |
D. |
cardioid |
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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. |
331.6 |
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C. |
516.0 |
D. |
20.0 |
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Hint |
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