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1. |
State the domain of the function  |
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A. |
all real numbers except 3 |
B. |
all real numbers except 0 |
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C. |
all real numbers except 0 and 3 |
D. |
all real numbers except 0, 1, and 3 |
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Hint |
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2. |
Given f(x) = x2 + 1 and g(x) = 2x - 1, find (f - g)(x). |
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A. |
x2 - 2x + 1 |
B. |
x2 + 2x |
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C. |
x2 - 2x + 2 |
D. |
x2 - 2x - 1 |
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Hint |
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3. |
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. |
4750 people per year |
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C. |
47,500 people per year |
D. |
475 people per year |
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Hint |
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4. |
Using the equation y = 50x + 50, predict y when x = 6. |
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A. |
400 |
B. |
250 |
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C. |
350 |
D. |
300 |
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Hint |
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5. |
Use a graphing calculator to find the equation of the regression line. |
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A. |
y = 12x - 23,947 |
B. |
y = 2x - 25 |
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C. |
y = x - 576 |
D. |
y = 23x - 21,000 |
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Hint |
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6. |
Which is the graph of the inequality x > -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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7. |
An automobile manufacturer produces two kinds of cars--the Bobcat x and the Lion y. The company must always produce twice as many Bobcats as Lions and at least 300 cars but no more than 1200 cars per day. Model this situation algebraically. |
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A. |
300 x + 2y 1200 and x = 2y |
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B. |
300 x + y 1200 and x = 2y |
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C. |
300 x + 2y 1200 |
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D. |
300 2x + y 1200 |
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Hint |
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8. |
If you solve the following system of equations by elimination, which of the following is the best choice for the first step?
2x + y - z = 3 x + y + z = 5 x - 2y + z = 2
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A. |
Subtract the second and third equation to eliminate the z variable. |
B. |
Add the first and second equations to eliminate the z variable. |
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C. |
Both methods will work. |
D. |
Neither method will work. |
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Hint |
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9. |
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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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10. |
Triangle ABC has vertices A(7, 2), B(3, -1), and C(1, 4). Find the image of the triangle after a reflection over the x-axis. |
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A. |
A'(7, -2), B'(-1, 3), C'(-1, -4) |
B. |
A'(-7, -2), B'(-3, 1), C'(-1, -4) |
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C. |
A'(2, 7), B'(-1, 3), C'(4, 1) |
D. |
A'(7, -2), B'(3, 1), C'(1, -4) |
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Hint |
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11. |
Find the image of after Rot90 · Ry-axis if the vertices are A(2, -3), B(6, -3), and C(2, 5). |
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A. |
A'(3, -2), B'(3, -6), C'(-5, -2) |
B. |
A'(3, 2), B'(3, 6), C'(5, -2) |
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C. |
A'(-3, 2), B'(-3, 6), C'(5, 2) |
D. |
A'(-3, -2), B'(-3, -6), C'(-5, -2) |
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Hint |
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12. |
What are the vertices of the triangle formed? |
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A. |
(100, 400), (400, 500), and (100, 800) |
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B. |
(100, 400), (500, 400), and (100, 800) |
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C. |
(100, 400), (500, 400), and (800, 100) |
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D. |
(100, 400), (400, 500), and (800, 100) |
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Hint |
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13. |
Choose the graph of y < 2 - |x - 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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14. |
Locate the extrema for the graph of y = f(x). |
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A. |
The extrema are (-2, 1), (1, -1) and (4, 3). |
B. |
The extrema are (-2, 1) and (1, -1). |
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C. |
The extrema are (-2, 1) and (4, 3). |
D. |
The extrema are (-1, 1) and (4, 3). |
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Hint |
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15. |
Which equation has an undefined slope? |
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A. |
y = 4x |
B. |
y = 4x + 2 |
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C. |
y = 4 |
D. |
x = 4 |
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Hint |
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16. |
Choose the best method to solve the system of equations x + y = 2 and y = 3x - 4. |
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A. |
Eliminate x |
B. |
Eliminate y |
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C. |
Substitution |
D. |
Graphing |
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Hint |
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17. |
Solve the system of three equations by elimination: 5x + 2y - 3z = 10 2x - 2y + 4z = 6 x - y + 2z = 3
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A. |
infinite solutions |
B. |
no solution |
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C. |
(2, -5, 3) |
D. |
(3, 4, 2) |
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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. |
Find the inverse of . |
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A. |
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B. |
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C. |
0 |
D. |
does not exist |
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Hint |
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20. |
Locate the extrema for the graph y = f(x). |
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A. |
There is an inflection point at (2,2) |
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B. |
There is a relative minimum at (4,4) and a relative maximum at (0,0) |
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C. |
There is a relative maximum at (4,4) and a relative minimum at (0,0) |
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D. |
There is an absolute maximum at (4,4) and an absolute minimum at (0,0) |
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Hint |
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