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1. |
If the lumber mill can turn out 900 units of product each week and must produce 100 units of lumber and 400 units of plywood, graph the systems of inequalities. Let x = units of lumber, and y = units of plywood. |
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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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2. |
Determine the symmetry of g(x) = . |
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A. |
symmetric with respect to only the x-axis |
B. |
symmetric with respect to the origin |
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C. |
not symmetric |
D. |
symmetric with respect to only the y-axis |
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Hint |
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3. |
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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4. |
Determine the type of polynomial function that could be used to represent the data in the following scatter plot. |
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A. |
linear |
B. |
quartic |
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C. |
quadratic |
D. |
cubic |
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Hint |
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5. |
The terminal side of one angle in standard position contains the point with coordinates (3, -2). The terminal side of another angle in standard position contains the point with coordinates (-3, 2). Compare the tangents of these angles. |
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A. |
They are equal. |
B. |
They are not equal. |
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C. |
One does not exist. |
D. |
One is twice the other. |
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Hint |
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6. |
Find the area of a sector if the central angle measures radians and the radius of the circle is 22 centimeters. Round to the nearest tenth. |
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A. |
231.1 cm2 |
B. |
1013.7 cm2 |
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C. |
506.8 cm2 |
D. |
253.4 cm2 |
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Hint |
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7. |
Express cot (-840°) as a trigonometric function of an angle in Quadrant I. |
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A. |
- cot 60° |
B. |
- tan 60° |
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C. |
tan 60° |
D. |
cot 60° |
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Hint |
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8. |
Which pair of vectors is perpendicular? |
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A. |
,  |
B. |
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C. |
,  |
D. |
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Hint |
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9. |
Write a vector equation describing a line passing through P1(2, 6) and parallel to . |
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A. |
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B. |
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D. |
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Hint |
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10. |
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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11. |
Find . Express the result in rectangular form. |
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A. |
-1024i |
B. |
1024 |
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C. |
-1024 |
D. |
1024i |
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Hint |
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12. |
Find parametric equations for the equation y = x2 + 5. |
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A. |
x = t, y = t2 + 5,  |
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B. |
x = t2 + 5, y = t,  |
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C. |
x = t, y = t2 + 5, -2 < t < 2 |
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D. |
x = t, y = t2 + 5,  |
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Hint |
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13. |
Suppose the equation models a buoy bobbing up and down in the water. The equilibrium point is y = 0. Describe the location of the buoy when t = 7. |
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A. |
3 units above equilibrium |
B. |
6 units below equilibrium |
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C. |
6 units above equilibrium |
D. |
3 units below equilibrium |
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Hint |
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14. |
Find the sum of the first 42 terms in the arithmetic series 5 + 10 + 15 + ··· + 210. |
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A. |
4525 |
B. |
4515 |
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C. |
4505 |
D. |
4510 |
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Hint |
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15. |
Find the sum of the first six terms of the geometric series . |
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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. |
Find the sum of the series . |
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A. |
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B. |
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C. |
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D. |
The sum does not exist. |
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Hint |
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17. |
Write a linear equation to represent the cost y of a long distance calling plan that charges $5.99 plus $0.07 per minute for x number of minutes. |
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A. |
y = x - 5.99 |
B. |
y = 5.99x + 0.07 |
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C. |
y = 0.07x + 5.99 |
D. |
y = x + 5.99 |
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Hint |
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18. |
Solve sec2 x = - 2 for -90° < x < 90°. |
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A. |
0° |
B. |
60° |
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C. |
-60°, 60° |
D. |
-30°, 30° |
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Hint |
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19. |
Express the number in rectangular form. |
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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. |
Write an equation of an ellipse centered at the origin, with a = 4, b = 3 and the major axis on the y-axis. |
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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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