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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. |
47,500 people per year |
B. |
475 people per year |
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C. |
47.5 or about 48 people per year |
D. |
4750 people per year |
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Hint |
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2. |
What type of relationship or pattern does the scatter plot suggest? |
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A. |
no pattern |
B. |
none of these |
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C. |
a linear relationship whose data have a positive relationship |
D. |
a linear relationship whose data have a negative relationship |
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Hint |
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3. |
The equation 2x - y + 3z = 5 represents _____________ |
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A. |
none of these. |
B. |
a circle. |
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C. |
a plane. |
D. |
a line. |
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Hint |
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4. |
Solve |x - 1| - 8 < 3. |
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A. |
{x | 5 < x < 10} |
B. |
{x | -8 < x < 10} |
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C. |
{x | -4 < x < 3} |
D. |
{x | -10 < x < 12} |
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Hint |
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5. |
Graph y = 1 + . |
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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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6. |
The function f(x) = 3x2 - x3 has critical points at x = 0 and x = 2. Determine whether each of these critical points is the location of a relative maximum, relative minimum, or a point of inflection. |
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A. |
(0, 0) minimum and (2, 4) maximum |
B. |
(0, 0) maximum and (2, 4) minimum |
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C. |
None of these is correct. |
D. |
(0, 0) minimum and (2, 4) point of inflection |
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Hint |
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7. |
Graph 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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8. |
The factors of x2 - 8x - 20 = 0 are ____. |
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A. |
(x + 2) and (x - 10) |
B. |
(x - 2) and (x - 10) |
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C. |
(x + 2) and (x + 10) |
D. |
(x - 2) and (x + 10) |
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Hint |
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9. |
The equation x2 + x - 1 = 0 cannot be solved by ____. |
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A. |
factoring |
B. |
using the quadratic formula |
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C. |
completing the square |
D. |
graphing |
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Hint |
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10. |
List the possible rational roots of 3x3 + 5x2 - 2x + 1 = 0. |
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A. |
1,  |
B. |
,  |
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C. |
,  |
D. |
1,  |
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Hint |
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11. |
Decompose into partial fractions. |
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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. |
Which is an example of a cofunction relationship? |
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A. |
sin 30° = sin 60° |
B. |
sin 30° = cot 60° |
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C. |
sin 30° = tan 60° |
D. |
sin 30° = cos 60° |
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Hint |
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13. |
If P = 27° and r = 11, find p. |
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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. |
A security light is being installed outside a loading dock. The light is mounted 25 feet above the ground. The light must be placed at an angle so that it illuminates a parking lot. If the end of the parking lot is 125 feet from the loading dock, what should be the angle of depression of the light? |
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A. |
about 11.5° |
B. |
about 11.3° |
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C. |
about 78.5° |
D. |
about 78.7° |
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Hint |
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15. |
Write an equation in slope-intercept form with a slope of that passes through the point (-3, -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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16. |
How can you tell if two lines are perpendicular? |
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A. |
The slopes are reciprocals. |
B. |
The slopes are opposites. |
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C. |
The slopes are opposite reciprocals. |
D. |
The slopes are the same. |
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Hint |
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17. |
Ilene analyzed her test scores and determined the equation of the best-fit line was y = 4.25x + 72. Predict her score for the 5th test. |
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A. |
88.75 |
B. |
98.5 |
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C. |
93.25 |
D. |
72.5 |
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Hint |
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18. |
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A. |
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B. |
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C. |
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D. |
impossible |
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Hint |
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19. |
Given the function f(x) = x2 - 8x + 16, find the inverse. |
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A. |
f -1 = x - 4 |
B. |
f -1 = 4  |
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C. |
f -1 = x - 2 |
D. |
f -1 = (x - 4)2 |
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Hint |
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20. |
Graph the function  |
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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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