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1. |
Given f(x) = 3x + 2x - 2 and g(x) = 4x + 1, find  |
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A. |
3x2 - 2x - 3 |
B. |
3x2 + 6x - 1 |
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C. |
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D. |
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Hint |
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2. |
Rewrite the equation 3x + y = 7 in slope-intercept form. |
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A. |
y = 3x - 7 |
B. |
y = 7x + 3 |
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C. |
y = -3x + 7 |
D. |
y = -3x - 7 |
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Hint |
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3. |
Solve the system of equations by elimination.
2x + y - z = 3
x + y + z = 5
x - 2y + z = 2
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A. |
(1, 1, 2) |
B. |
(1, 2, 1) |
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C. |
(2, 2, 1) |
D. |
(2, 1, 2) |
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Hint |
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4. |
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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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5. |
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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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6. |
Suppose a figure is animated to spin around a certain point. If the image has key points as A(2, 1), B(3, 5) and C(6, 2), and the rotation is about the origin, find the location of these points at a 270° counterclockwise rotation. |
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A. |
A'(1, -2), B'(5, -3), C'(2, -6) |
B. |
A'(-2, -1), B'(-3, -5),
C'(-6, -2) |
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C. |
A'(1, -2), B'(-5, 3), C'(-2, 6) |
D. |
A'(-1, 2), B'(-5, 3), C'(-2, 6) |
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Hint |
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7. |
Describe the end behavior of f(x) = x2 + 1. |
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A. |
As x  ,f(x)  ,
and as x , f(x) . |
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B. |
As x , f(x) ,
and as x , f(x) . |
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C. |
none of these |
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D. |
As x , f(x) ,
and as x , f(x) . |
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Hint |
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8. |
If y varies directly as the cube of x and y = 30 when x = 2, find x when
y = 468.75. |
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A. |
3 |
B. |
9 |
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C. |
7 |
D. |
5 |
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Hint |
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9. |
Determine the zeros of the function y = x3 + 2x2 - 5x - 6. |
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A. |
-3, -1, 2 |
B. |
-1, 2, 3 |
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C. |
-3, 2, 0 |
D. |
-3, -1, 4 |
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Hint |
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10. |
Divide x4 + 2x2 - 1 by x - 1 using synthetic division. The result of synthetic division is ____. |
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A. |
1 3 1 3 | 2 |
B. |
1 1 3 3 | -2 |
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C. |
1 1 3 3 | 2 |
D. |
1 3 1 3 | -2 |
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Hint |
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11. |
Find the value of k so that the remainder of (x3 - 3x2 + kx - 6) ÷ (x + 2) is 0. |
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A. |
k = -13 |
B. |
k = 11 |
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C. |
k = 6 |
D. |
k = -11 |
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Hint |
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12. |
Use the Upper Bound Theorem to find an integral upper bound and the Lower Bound Theorem to find an integral lower bound of the zeros of the function f(x) = x3 - 2x2 - x + 6. All real zeros of f(x) can be found in the interval. |
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A. |
-2  x 3 |
B. |
2 x 3 |
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C. |
1 x 2 |
D. |
-3 x -2 |
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Hint |
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13. |
Find the area of  if d =14.2, D = 33.6°, and E = 15.2°. |
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A. |
about 35.9 square units |
B. |
about 71.9 square units |
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C. |
about 46.5 square units |
D. |
about 62.1 square units |
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Hint |
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14. |
Write an equation in slope-intercept form with a slope of  that passes through the point (-3, -5). |
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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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15. |
Choose the best method to solve the system of equations 4x + y = 6
and 2x - y = 10. |
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A. |
Substitution |
B. |
Eliminate y |
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C. |
Graphing |
D. |
Eliminate x |
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Hint |
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16. |
Find the maximum value of f(x, y) = 2x + y - 4 for the system of inequalities:
y -3x + 1
y x - 4
x  0
y 0 |
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A. |
2 |
B. |
infeasible |
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C. |
unbounded |
D. |
alternate optimal solutions |
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Hint |
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17. |
Complete the graph so it is symmetric about the origin. |
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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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18. |
Determine the equation of the horizontal asymptote for the function:
f(x) =  + 2. |
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A. |
x = 0 |
B. |
y = 0 |
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C. |
y = -2 |
D. |
y = 2 |
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Hint |
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19. |
Use the parent graph f(x) =  to graph the function g(x) =  . |
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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. |
If y varies jointly as x and the cube root of z,
and y = 30 when x = -5
and z = 27, find y when z = -8 and x = 0.5. |
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A. |
y = 2 |
B. |
y = 4 |
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C. |
y = 20 |
D. |
y = -2 |
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Hint |
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