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1. |
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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2. |
Write an equation in slope-intercept form for the line with a slope
of  and a y-intercept of -3. |
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A. |
y = x - 3 |
B. |
y =  x - 3 |
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C. |
y = x + 3 |
D. |
y = x + 3 |
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Hint |
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3. |
Use a graphing calculator to find the equation of the regression line. |
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A. |
y = 12x - 23,947 |
B. |
y = 23x - 21,000 |
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C. |
y = x - 576 |
D. |
y = 2x - 25 |
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Hint |
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4. |
Describe how the graphs of f(x) = |2x| and g(x) = -|2x| are related. |
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A. |
None are true. |
B. |
The graph of g(x) is a reflection of the graph of f(x) over the x- and y-axes. |
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C. |
The graph of g(x) is a reflection of the graph of f(x) over the y-axis. |
D. |
The graph of g(x) is a reflection of the graph of f(x) over the x-axis. |
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Hint |
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5. |
If you use the parent graph y =  as a reference, describe how you
would graph y =  . |
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A. |
Move the parent graph 2 units to the right and then down 5 units. |
B. |
Move the parent graph 2 units to the left and then up 5 units. |
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C. |
Move the parent graph 2 units to the left and then down 5 units. |
D. |
Move the parent graph 2 units to the right and then up 5 units. |
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Hint |
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6. |
If y varies inversely as x and y = 12 when x = 7, find x when y = 2. |
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A. |
10 |
B. |
42 |
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C. |
7 |
D. |
5 |
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Hint |
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7. |
Determine the linear velocity of a point rotating at an angular velocity of  radians per second at a distance of 11 centimeters from the center of the rotating object. Round to the nearest tenth. |
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A. |
165 cm/s |
B. |
518.4 cm/s |
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C. |
52.5 cm/s |
D. |
33.4 cm/s |
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Hint |
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8. |
State the amplitude, period, phase shift, and vertical shift for
y = 3 cos  - 4. |
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A. |
3; 8 ; -2; 4 |
B. |
4; 8; 2; 3 |
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C. |
4; 8; -2; -3 |
D. |
3; 8; -2; -4 |
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Hint |
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9. |
Simplify cos x tan x. |
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A. |
sin x |
B. |
csc x |
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C. |
1 |
D. |
cos x |
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Hint |
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10. |
Find the magnitude of  for T(4, 0, -6) and M(5, -1, 0). |
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A. |
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B. |
6 |
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C. |
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D. |
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Hint |
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11. |
Graph R(-3, -145°). |
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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 equation could represent a rose with 5 petals? |
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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. |
The graph of the rectangular hyperbola xy = -5 lies in _____. |
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A. |
Quadrants II and IV |
B. |
Quadrants I and III |
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C. |
Quadrants II and III |
D. |
Quadrants III and IV |
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Hint |
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14. |
Graph the system of inequalities  and  . |
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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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15. |
Find f(2b2) for f(x) = x2 – 4x |
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A. |
4b2 - 8b8 |
B. |
2b4 - 8b2 |
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C. |
-4b2 |
D. |
4b4 - 8b2 |
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Hint |
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16. |
If you are solving this system of equations by elimination, which of the following is the best choice for the first step? 2x + 3y - z = 4
-x + y + 2z = 3
3x + y + z = 1 |
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A. |
Method I |
B. |
neither method is correct. |
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C. |
both methods are correct |
D. |
Method II |
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Hint |
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17. |
Determine the coordinates of a dilated figure with a scale factor of 1.5 if the vertices of the original are A(3,5), B(-4,5), C(-4,-5), and D(3,-5) |
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A. |
A(4.5,7.5), B(-6,7.5), C(-6,-7.5) and D(4.5,-7.5) |
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B. |
A(4.5,6.5), B(-2.5,6.5), C(-2.5,-3.5) and D(4.5,-3.5) |
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C. |
A(1.5,2.5), B(-2,2.5), C(-2,-2.5), and D(1.5,-2.5) |
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D. |
A(1.5,3.5), B(-5.5,3.5), C(-5.5,-6.5) and D(1.5,-6.5) |
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Hint |
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18. |
For the line given by the equation 5x - 7y + 24, what is the length of the normal through the origin? |
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A. |
 |
B. |
24 |
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C. |
2 |
D. |
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Hint |
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19. |
If a rectangular prism represented by the vertex matrix below is translated using the vector  , find the vertex matrix for the translated image.
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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. |
Find the polar coordinates of the point P(8, -2). |
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A. |
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B. |
(10, -4) |
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C. |
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D. |
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Hint |
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