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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. |
47,500 people per year |
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C. |
4750 people per year |
D. |
47.5 or about 48 people per year |
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Hint |
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2. |
Jane is opening a home-based business. She determined that she will need $4500 to buy a computer and supplies to start. She expects expenses for each following month to be $800. Write an equation that models the total expense y after x months. |
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A. |
y = 800x + 4500 |
B. |
y = 4500x + 800 |
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C. |
y = 4500x - 800 |
D. |
y = 800x - 4500 |
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Hint |
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3. |
Solve the system of equations x = 4 and 3x - 4y = 12 by graphing. |
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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. |
Solve the system of equations by substitution.
x = z
x - 2y + z = 6
2x + y - 2z = 1
What is the value of x + y + z? |
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A. |
11 |
B. |
9 |
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C. |
10 |
D. |
8 |
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Hint |
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5. |
Find the value of  . |
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A. |
-24 |
B. |
24 |
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C. |
28 |
D. |
-28 |
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Hint |
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6. |
Choose the graph of y < 2 - |x - 1|. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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7. |
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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8. |
Find the rational zeros of the equation 2x4 - x3 - 21x2 + 9x + 27 = 0. |
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A. |
3, -3, -1,  |
B. |
3, -3, -1,  |
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C. |
3, 1, -1, |
D. |
3, 1, -1, |
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Hint |
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9. |
Solve  . |
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A. |
0 |
B. |
1 |
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C. |
3 |
D. |
2 |
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Hint |
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10. |
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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11. |
Find cos (Tan-11 - Sin-11). |
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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. |
Use the sum or difference identity for sine to find the exact value
of sin 375°. |
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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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13. |
State the vertical shift and the equation of the midline for
the function y = 3 cos  + 4. |
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A. |
-3; y = -3 |
B. |
3; y = 3 |
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C. |
-4; y = -4 |
D. |
4; y = 4 |
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Hint |
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14. |
Write an equation of a line that has no slope and passes through
the point (5,-6). |
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A. |
y = 5 |
B. |
y = -6 |
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C. |
x = -6 |
D. |
x = 5 |
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Hint |
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15. |
The image of  after Rot180 · Ry-axis is the same as which other reflection, if the vertices are A(1,1), B(2,6), C(6,4)? |
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A. |
none of these |
B. |
reflection over the y-axis |
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C. |
reflection over the x-axis |
D. |
reflection over the line y = x |
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Hint |
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16. |
If you use the parent graph  as a reference, describe how you would graph  . |
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A. |
Expand vertically by a factor of 3, then move 4 units down. |
B. |
Expand horizontally by a factor of  , then move 4 units down. |
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C. |
Compress horizontally by a factor of  , then move 4 units down. |
D. |
Compress vertically by a factor of , then move 4 units down. |
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Hint |
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17. |
Determine the intervals on which the function f(x) = x3 + x2 + x is increasing and the intervals on which the function is decreasing. |
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A. |
increasing for x < 0 and decreasing for x > 0 |
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B. |
increasing for all x |
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C. |
increasing for x < 0 and x > 0 |
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D. |
decreasing for all x |
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Hint |
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18. |
Determine the equation of the horizontal asymptote for the function:
f(x) =  + 2. |
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A. |
y = 0 |
B. |
y = -2 |
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C. |
x = 0 |
D. |
y = 2 |
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Hint |
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19. |
Use the sum or difference identity for cosine to find the exact value of cos 105° |
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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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20. |
Solve 4 sin2 x + 3 = 4 for principal values of x. Express solutions in radians. |
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A. |
 ,  |
B. |
-, |
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C. |
 ,  |
D. |
-, |
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Hint |
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