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1. |
Using the equation y = 50x + 50, predict y when x = 6. |
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A. |
400 |
B. |
250 |
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C. |
300 |
D. |
350 |
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Hint |
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2. |
Three planes can |
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A. |
have no points in common. |
B. |
intersect in a line. |
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C. |
intersect at one point. |
D. |
All of the choices are true. |
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Hint |
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3. |
In 1999 Bob scored 824 points as a college basketball player by hitting 372 of his attempts. If he made 60% of his 200 3-point field goal attempts, how many 1-, 2-, and 3-point field goal baskets did he make? |
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A. |
(40, 120, 212) |
B. |
(212, 40, 120) |
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C. |
(40, 212, 120) |
D. |
(120, 40, 212) |
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Hint |
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4. |
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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5. |
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, l < 70 |
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C. |
l + g < 100, g < 70 |
D. |
l + g > 100, g < 70 |
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Hint |
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6. |
The graph of y = -x2 + 1 is symmetric about __________. |
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A. |
the y-axis |
B. |
neither the x-axis nor the y-axis |
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C. |
both the x-axis and the y-axis |
D. |
the x-axis |
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Hint |
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7. |
If you use the parent graph f(x) = x2, describe how you would graph g(x) = (x - 4)2 - 2. |
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A. |
Move the parent graph left 4 units and down 2 units. |
B. |
Move the parent graph right 4 units and down 2 units. |
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C. |
Move the parent graph right 4 units and up 2 units. |
D. |
Move the parent graph left 4 units and up 2 units. |
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Hint |
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8. |
The function f(x) = 3x2 - x3 has critical points at x = 0 and x = 2. Determine whether each of these critical points is the location of a relative maximum, relative minimum, or a point of inflection. |
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A. |
(0, 0) minimum and (2, 4) point of inflection |
B. |
(0, 0) minimum and (2, 4) maximum |
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C. |
(0, 0) maximum and (2, 4) minimum |
D. |
None of these is correct. |
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Hint |
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9. |
Determine the asymptotes for the graph of f(x) = . |
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A. |
a horizontal asymptote at x = 3 and a vertical asymptote at y = 2 |
B. |
a vertical asymptote at x = 3 and a horizontal asymptote at y = 2 |
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C. |
none of these |
D. |
a vertical asymptote at x = -3 and a horizontal asymptote at y = 1 |
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Hint |
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10. |
Solve > 0. |
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A. |
-1 < x < 0 or x > 1 |
B. |
-1 < x < 0 or x > 2 |
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C. |
-2 < x < 0 or x > 2 |
D. |
-2 < x < 0 or x < 1 |
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Hint |
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11. |
If , find . |
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A. |
 |
B. |
 |
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C. |
3 |
D. |
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Hint |
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12. |
If x and y are acute angles such that sin x = and sin y = , what is the value of cos (x - y)? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
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Hint |
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13. |
Solve the equation cos 2x = sin x for 0° x < 360°. |
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A. |
30°, 150°, 270° |
B. |
30°, 210°, 270° |
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C. |
30°, 90°, 150° |
D. |
90°, 150°, 270° |
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Hint |
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14. |
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. |
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D. |
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Hint |
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15. |
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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C. |
 |
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D. |
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Hint |
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16. |
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 below equilibrium |
B. |
6 units above equilibrium |
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C. |
6 units below equilibrium |
D. |
3 units above equilibrium |
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Hint |
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17. |
Find the x- and y-intercepts of the equation:  |
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A. |
x-intercept –5; y-intercept 2 |
B. |
x-intercept –2; y intercept 5 |
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C. |
x-intercept 2; y-intercept 5 |
D. |
x-intercept 5; y-intercept -2 |
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Hint |
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18. |
Name the coordinates of the vertices of the polygonal convex set. |
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A. |
(-4,-1), (-4,3), (-2,4), (4,-2) |
B. |
(-4,-1), (-4,6), (-2,4), (4,-2) |
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C. |
(-4,-1), (-4,3), (-2,-4), (4,-2) |
D. |
(-4,-1), (-4,3), (-2,4), (4,2) |
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Hint |
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19. |
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 point of inflection. |
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C. |
(3,4) is the relative maximum of this function. |
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D. |
(3,4) is the absolute minimum of this function. |
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Hint |
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20. |
Given the coordinates of a rectangular prism, represent them as a vertex matrix: A(1, 5, 3), B (1, 5, -1), C (1, -3, -1), D (1, -3, 3), E (-4, 5, 3), F (-4, 5, -1), G (-4, -3, -1), H (-4, -3, 3) |
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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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