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1. |
Find  (x) if f(x) = 3x2 + 1 and g(x) = 2x + 3. |
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A. |
6x2 + 5 |
B. |
12x2 - 36x + 28 |
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C. |
6x2 - 5 |
D. |
12x2 + 36x + 28 |
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Hint |
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2. |
Find the value of  . |
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A. |
-3 |
B. |
3 |
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C. |
17 |
D. |
-17 |
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Hint |
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3. |
Find the value of  . |
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A. |
-24 |
B. |
-28 |
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C. |
24 |
D. |
28 |
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Hint |
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4. |
In shipping, an oversize package is one in which the sum of the length and girth exceeds 100 inches, and also one whose length alone exceeds 70 inches. Which of the following best represents this situation? |
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A. |
l + g > 100, l > 70 |
B. |
l + g > 100, g < 70 |
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C. |
l + g < 100, g < 70 |
D. |
l + g > 100, l < 70 |
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Hint |
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5. |
Suppose a lumber mill can turn out up to 900 units of product each week. The mill must produce at least 100 units of lumber and 400 units of plywood. Write the constraints as a system of inequalities where x = the number of units of lumber and y = the number of units of plywood. |
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A. |
x  100, y  400, and
x + y 900 |
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B. |
x 100, y 400, and
x + y 900 |
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C. |
x 100, y 400, and
x + y 900 |
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D. |
x 100, y 400, and
x + y 900 |
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Hint |
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6. |
For which line(s) is the graph of  symmetric? |
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A. |
y = 1 |
B. |
y = -1 |
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C. |
x = 3 and y = -1 |
D. |
x = 3 |
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Hint |
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7. |
Solve |x + 4| > 2. |
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A. |
x < -6 |
B. |
-6 < x < -2 |
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C. |
x < -6 or x > -2 |
D. |
x > -6 or x < -2 |
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Hint |
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8. |
If P = 27° and r = 11, find p. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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9. |
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 78.7° |
B. |
about 11.5° |
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C. |
about 11.3° |
D. |
about 78.5° |
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Hint |
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10. |
If csc  = 2, find sin . |
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A. |
 |
B. |
 |
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C. |
2 |
D. |
 |
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Hint |
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11. |
Complete the identity  _______. |
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A. |
tan x |
B. |
csc x |
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C. |
sec x |
D. |
cot x |
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Hint |
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12. |
What is the distance between the lines with equations x + y - 5 = 0 and
y = -x + 10? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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13. |
Suppose the equation  models the number of liters of air in the lungs of a gorilla at t seconds. Use a graphing calculator to graph the function with Xmin = 0 and Xmax = 10. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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14. |
Find the direction of the resultant vector for the diagram. |
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A. |
18.4° |
B. |
71.6° |
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C. |
55° |
D. |
60° |
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Hint |
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15. |
Which is the graph of the inequality 2x + y + 3 >0? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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16. |
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. |
(2, -5, 3) |
B. |
no solution |
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C. |
(3, 4, 2) |
D. |
infinite solutions |
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Hint |
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17. |
The function f(x) = -(x - 3)2 + 4 has a critical point at x = 3. Determine and classify this point. |
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A. |
(3,4) is the absolute maximum of this function. |
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B. |
(3,4) is the absolute minimum of this function. |
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C. |
(3,4) is the relative maximum of this function. |
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D. |
(3,4) is the point of inflection. |
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Hint |
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18. |
Find the value of tan 2 if sin =  and 0 < <  . |
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A. |
- |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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19. |
 PQR has vertices P(5, 8), Q(9, 5), and R(2, 4). Find the equation in standard form of the line that bisects  P. |
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A. |
x - 7y = -67 |
B. |
7x + y = 43 |
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C. |
4x + 3y = -4 |
D. |
3x + 4y = 47 |
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Hint |
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20. |
Write the parametric equations for the line passing through P(3, -4) and parallel to  . |
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A. |
x = 3 + t and y = 4 – 9t |
B. |
x = 3t + 1 and y = 4t - 9 |
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C. |
x = t + 3 and y = 9t - 4 |
D. |
x = 1 + 3t and y = 9 – 4t |
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Hint |
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