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1. |
If you solve the following system of equations by elimination, which of the following is the best choice for the first step?
2x + y - z = 3 x + y + z = 5 x - 2y + z = 2
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A. |
Both methods will work. |
B. |
Subtract the second and third equation to eliminate the z variable. |
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C. |
Add the first and second equations to eliminate the z variable. |
D. |
Neither method will work. |
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Hint |
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2. |
If you solve the following system of equations by substitution, which statement is true?
x = z x - 2y + z = 6 2x + y - 2z = 1
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A. |
You can substitute x for z into the second and third equations. |
B. |
Neither method will work. |
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C. |
Both methods will work. |
D. |
You can substitute z for x into the second and third equations. |
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Hint |
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3. |
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. |
-3 x -2 |
B. |
-2 x 3 |
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C. |
2 x 3 |
D. |
1 x 2 |
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Hint |
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4. |
Solve . |
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A. |
3 |
B. |
2 |
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C. |
0 |
D. |
1 |
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Hint |
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5. |
If find  |
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A. |
7 |
B. |
 |
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C. |
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D. |
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Hint |
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6. |
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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7. |
Evaluate sin (arctan ). Assume that the angle is in Quadrant I. |
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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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8. |
Change -120° to radian measure in terms of . |
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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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9. |
If csc = 2, find sin . |
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A. |
 |
B. |
2 |
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C. |
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D. |
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Hint |
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10. |
Use the sum or difference identity for tangent to find the exact value of tan 255°. |
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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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11. |
Write the ordered triple that represents the vector from X(6, -4, 2) to Y(5, -6, 8). |
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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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12. |
Find the parametric equations for a line parallel to and passing through the point at (-3, -5). |
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A. |
x = 4 - 3t and y = -2 + 5t |
B. |
x = -4 - 3t and y = -2 - 5t |
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C. |
x = -3 + 4t and y = -5 - 2t |
D. |
x = -4 + 3t and y = 2 + 5t |
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Hint |
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13. |
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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14. |
Which is the graph of the inequality 2x + y + 3 >0? |
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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. |
Solve the system of inequalities by graphing. 2x + y 3 2x + y -2 y 4 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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Hint |
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16. |
The function f(x) = |x - 4| + 2 has a critical point at x = 4. Determine if this is the location of a maximum, a minimum or a point of inflection. |
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A. |
There is a minimum at (4,2) |
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B. |
There is a point of inflection at (4,2) |
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C. |
none of these |
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D. |
There is a maximum at (4,2) |
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Hint |
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17. |
Find the ordered triple that represents the vector from S(9, -2, -11) to T(2, 2, 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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18. |
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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19. |
Find the rectangular coordinates of the point R . |
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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. |
Identify the graph of the equation 4x2 +3xy + 6y2 - 6 = 0 then find to the nearest degree. |
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A. |
circle; -56° |
B. |
hyperbola; - 28° |
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C. |
ellipse; - 28° |
D. |
parabola;  |
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Hint |
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