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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. |
475 people per year |
B. |
4750 people per year |
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C. |
47.5 or about 48 people per year |
D. |
47,500 people per year |
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Hint |
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2. |
Graph the equation y =  |
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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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3. |
Which is the best prediction equation for the data? |
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A. |
y = 10x - 19,950 |
B. |
y = 25x - 19,950 |
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C. |
y = 20x - 19,950 |
D. |
y = 5x - 19,950 |
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Hint |
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4. |
The cost of producing an item is $5 per item plus an initial cost of $2000. The selling price is $10 per item. Find the break-even point. |
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A. |
400 items |
B. |
4500 items |
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C. |
450 items |
D. |
4000 items |
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Hint |
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5. |
Find the value of . |
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A. |
-3 |
B. |
17 |
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C. |
3 |
D. |
-17 |
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Hint |
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6. |
Which of the following shows the system of equations using a matrix equation? |
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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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7. |
Find the maximum value of f(x, y) = 2x + y - 2 for the polygonal convex set determined by the system of inequalities. |
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A. |
6 |
B. |
18 |
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C. |
12 |
D. |
14 |
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Hint |
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8. |
Determine whether the given critical point of x = -7 is the location of a relative maximum, relative minimum, or a point of inflection for the function f(x) = x3 + x2 + 1. |
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A. |
maximum |
B. |
none is correct |
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C. |
point of inflection |
D. |
minimum |
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Hint |
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9. |
Determine the asymptotes for the graph of f(x) = . |
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A. |
none of these |
B. |
a vertical asymptote at x = -3 and a horizontal asymptote at y = 1 |
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C. |
a vertical asymptote at x = 3 and a horizontal asymptote at y = 2 |
D. |
a horizontal asymptote at x = 3 and a vertical asymptote at y = 2 |
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Hint |
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10. |
State the number of complex roots of the equation x4 - 3x2 - 4 = 0. |
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A. |
1 |
B. |
2 |
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C. |
3 |
D. |
4 |
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Hint |
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11. |
List the possible rational roots of 3x3 + 5x2 - 2x + 1 = 0. |
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A. |
1,  |
B. |
,  |
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C. |
1,  |
D. |
,  |
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Hint |
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12. |
Approximate the real zeros of the function f(x) = 2x2 + 4x + 1 to the nearest tenth. |
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A. |
-1.7 and -0.3 |
B. |
-1.8 and -0.4 |
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C. |
-1.6 and -0.2 |
D. |
-1.8 and -0.2 |
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Hint |
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13. |
Use the unit circle to find sec (-180°). |
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A. |
0 |
B. |
-1 |
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C. |
undefined |
D. |
1 |
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Hint |
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14. |
The angle of elevation of a ladder leaning against a wall is 62°. The ladder is 40 feet long. How far is the base of the ladder from the wall? |
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A. |
about 18.78 ft |
B. |
about 75.23 ft |
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C. |
about 35.32 ft |
D. |
about 85.20 ft |
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Hint |
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15. |
Solve the equation cos x = . |
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A. |
x equals 150°, 210° or any angle coterminal with these angles. |
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B. |
x equals 30°, 330° or any angle coterminal with these angles. |
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C. |
x equals 60°, 300° or any angle coterminal with these angles. |
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D. |
x equals 120°, 240° or any angle coterminal with these angles. |
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Hint |
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16. |
Find the area of if a = 5, b = 8, and c = 10. |
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A. |
about 39.6 square units |
B. |
about 15.2 square units |
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C. |
about 19.8 square units |
D. |
about 7.6 square units |
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Hint |
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17. |
Find f(2b2) for f(x) = x2 – 4x |
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A. |
-4b2 |
B. |
4b2 - 8b8 |
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C. |
2b4 - 8b2 |
D. |
4b4 - 8b2 |
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Hint |
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18. |
Write the equation of the line perpendicular to 5y + 3x - 10 = 0 and that passes through the point (3,1). |
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A. |
5x + 3y - 12 = 0 |
B. |
5x - 3y - 12 = 0 |
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C. |
3x + 5y - 50 = 0 |
D. |
5x - 3y - 4 = 0 |
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Hint |
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19. |
Solve |3x + 5| - 4 < 2. |
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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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20. |
If y varies jointly as x and the cube root of z, and y = 30 when x = -5 and z = 27, find y when z = -8 and x = 0.5. |
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A. |
y = 2 |
B. |
y = 4 |
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C. |
y = -2 |
D. |
y = 20 |
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Hint |
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