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1. |
The population of Abnerville was 12,500 people in 1950. In 2000, the population was 250,000. Find the average rate of increase in the population over the 50 year period. |
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A. |
47.5 or about 48 people per year |
B. |
475 people per year |
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C. |
47,500 people per year |
D. |
4750 people per year |
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Hint |
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2. |
Solve the system of equations y = 0.5x and 4y = x - 2 by graphing. |
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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. |
Which point is one of an infinite number of solutions for the inequality
y > (x + 2)2 - 4? |
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A. |
(3, 4) |
B. |
(1, 5) |
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C. |
(2, 12) |
D. |
(-1, 5) |
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Hint |
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4. |
Solve |x - 1| - 8 < 3. |
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A. |
{x | -4 < x < 3} |
B. |
{x | -8 < x < 10} |
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C. |
{x | 5 < x < 10} |
D. |
{x | -10 < x < 12} |
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Hint |
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5. |
If you solve x2 - 8x - 20 = 0 by the method of completing the square, add 20 to each side and then ____. |
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A. |
add 32 to each side |
B. |
add 4 to each side |
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C. |
add 8 to each side |
D. |
add 16 to each side |
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Hint |
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6. |
The diameter of a circle is 18 inches. If a central angle measures 64°, find the length of the intercepted arc. |
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A. |
about 14.6 in. |
B. |
about 18.2 in. |
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C. |
about 10.1 in. |
D. |
about 20.1 in. |
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Hint |
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7. |
Which identity is not a Pythagorean identity? |
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A. |
sin2  + cos2 = 1 |
B. |
1 + cot2 = csc2 |
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C. |
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D. |
tan2 + 1 = sec2 |
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Hint |
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8. |
Use the sum or difference identity for sine to find the exact value
of sin 375°. |
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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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9. |
If sin  =  and has its terminal side in the first quadrant, find the exact value of cos 2. |
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A. |
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B. |
1 |
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C. |
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D. |
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Hint |
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10. |
Which pair of vectors is perpendicular? |
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A. |
 ,  |
B. |
 ,  |
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C. |
 ,  |
D. |
 ,  |
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Hint |
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11. |
Which of the following is a dilation matrix? |
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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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12. |
A twig bobs up and down in the water. It moves from its highest point down to its lowest point and back every 12 seconds. The distance between its highest and lowest points is 3.2 centimeters. Write a sine function that models the movement of the twig in relation to the equilibrium point. |
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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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13. |
Write an equation of the line that passes through the points (-2, 4) and (6, -4). |
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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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14. |
Find the value of the determinant  . |
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A. |
-3 |
B. |
-29 |
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C. |
-25 |
D. |
-43 |
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Hint |
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15. |
Complete the graph so it is symmetric about the origin. |
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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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16. |
If  is the vector from the origin to point P(4, 5, 1), and  is the vector from the origin to point Q(-2, -9, 0), what is the ordered triple that represents  ? |
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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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17. |
Find the magnitude of  for N(-2, -6, -12) and K(3, -6, 7). |
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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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18. |
Write parametric equations for y = 7x - 2. |
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A. |
x = 7t and y = -2 |
B. |
x = t and y =  |
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C. |
x =  and y = -2 |
D. |
x = t and y = 7t - 2 |
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Hint |
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19. |
Find the quotient  Express the answer in rectangular form, approximating a and b to the nearest hundredth. |
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A. |
-2.40 - 2.40i |
B. |
2.14 - 2.64i |
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C. |
0.19 - 0.23i |
D. |
2.14 + 2.64i |
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Hint |
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20. |
Solve the equation x4 - 81 = 0. |
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A. |
3, 3i,  ,  |
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B. |
3, -3i, ,  |
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C. |
3, -3,  , - |
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D. |
3, -3, 3i, -3i |
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Hint |
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