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1. |
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, 2, 1) |
B. |
(1, 1, 2) |
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C. |
(2, 1, 2) |
D. |
(2, 2, 1) |
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Hint |
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2. |
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A. |
 |
B. |
The product doesn't exist. |
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C. |
 |
D. |
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Hint |
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3. |
Use the function P(x, y) = 40x + 60y to determine how many of each item should be produced in order to maximize profit. |
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A. |
(100, 800) |
B. |
(300, 500) |
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C. |
(500, 400) |
D. |
(100, 400) |
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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. |
The graph of g(x) is a reflection of the graph of f(x) over the x-axis. |
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. |
None are true. |
D. |
The graph of g(x) is a reflection of the graph of f(x) over the y-axis. |
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Hint |
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5. |
Which is the graph of f(x) = x2 - 3 and its inverse? |
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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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6. |
When is the function f(x) =  continuous at x = 2? |
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A. |
not enough information is given |
B. |
always |
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C. |
sometimes |
D. |
never |
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Hint |
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7. |
Determine the slant asymptote for f(x) = . |
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A. |
y = -2x +3 |
B. |
y = 3x + 2 |
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C. |
y = 2x + 3 |
D. |
y = 3x - 2 |
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Hint |
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8. |
State the number of complex roots of the equation x4 - 3x2 - 4 = 0. |
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A. |
3 |
B. |
1 |
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C. |
2 |
D. |
4 |
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Hint |
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9. |
In a polynomial equation, if there is one change in sign of the coefficients of the terms, ____. |
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A. |
there could be one or three positive real zeros |
B. |
there is exactly one positive real zero |
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C. |
none of the above is correct |
D. |
there is one imaginary root |
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Hint |
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10. |
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. |
1 x 2 |
B. |
2 x 3 |
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C. |
-3 x -2 |
D. |
-2 x 3 |
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Hint |
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11. |
Use a graphing calculator to write a polynomial function to model the set of data. |
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A. |
0.9x + 1.3 |
B. |
1.3x - 0.9 |
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C. |
1.3x + 0.9 |
D. |
0.9x - 1.3 |
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Hint |
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12. |
Determine the number of possible solutions for , given B = 100°, b = 7, and c = 9. |
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A. |
none |
B. |
two |
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C. |
one |
D. |
three |
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Hint |
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13. |
Determine the number of solutions for , given a = 2, b = 3, and c = 6. |
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A. |
one |
B. |
three |
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C. |
none |
D. |
two |
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Hint |
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14. |
In given a = 22, b = 39 and c = 19, find B. |
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A. |
about 54.0° |
B. |
about 36.0° |
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C. |
about 144.0° |
D. |
about 126.0° |
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Hint |
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15. |
Write the equation of the line that is parallel to 2x - 3y - 15 = 0 and that passes through the point (3,4). |
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A. |
2x - 3y + 6 = 0 |
B. |
2x + 5 - 3 = 0 |
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C. |
2x + 3y + 6 = 0 |
D. |
2x - 2y + 6 = 0 |
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Hint |
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16. |
Write the equation of the line perpendicular to 5y + 3x - 10 = 0 and that passes through the point (3,1). |
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A. |
5x - 3y - 12 = 0 |
B. |
5x + 3y - 12 = 0 |
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C. |
3x + 5y - 50 = 0 |
D. |
5x - 3y - 4 = 0 |
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Hint |
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17. |
Determine the equation of the perpendicular bisector of the line segment with endpoints (1,5) and (-6, 3). |
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A. |
2x + 7y + 23 = 0 |
B. |
14x + 4y - 19 = 0 |
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C. |
14x + 4y + 19 = 0 |
D. |
2x + 7y - 23 = 0 |
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Hint |
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18. |
Which is the graph of the inequality y > |2x + 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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Hint |
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19. |
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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20. |
Determine the intervals on which the function f(x) = x3 + x2 + x is increasing and the intervals on which the function is decreasing. |
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A. |
increasing for x < 0 and decreasing for x > 0 |
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B. |
increasing for all x |
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C. |
increasing for x < 0 and x > 0 |
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D. |
decreasing for all x |
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Hint |
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