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1. |
Solve the system of equations 2x + 3y = -7 and x - y = 4 by graphing. |
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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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2. |
The equation 2x - y + 3z = 5 represents _____________ |
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A. |
a plane. |
B. |
none of these. |
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C. |
a line. |
D. |
a circle. |
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Hint |
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3. |
The graph |y| = 4 - |2x| is symmetric with respect to __________. |
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A. |
both the x-axis and the y-axis |
B. |
the y-axis |
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C. |
neither the x-axis nor the y-axis |
D. |
the x-axis |
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Hint |
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4. |
Which is an even function? |
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A. |
y = x2 |
B. |
y = 2x - 1 |
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C. |
y = x |
D. |
y = -x |
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Hint |
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5. |
Which is the graph of y x3 + 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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6. |
Ten years ago, Mary invested $2500. Four years later, she invested $3000. Set up an equation that determines the current value of the two investments T(x) if each earns 10% annual interest per year. |
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A. |
T(x) = 2500(1.1)10 + 3000(1.1)6 |
B. |
T(x) = 3000(1.0)10 + 2500(1.1)6 |
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C. |
T(x) = 3000(1.0)10 + 2500(1.1)4 |
D. |
T(x) = 2500(1.1)10 + 3000(1.1)4 |
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Hint |
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7. |
Solve . |
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A. |
5, 1 |
B. |
2 |
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C. |
5 |
D. |
5, 2 |
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Hint |
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8. |
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 not equal. |
B. |
One is twice the other. |
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C. |
They are equal. |
D. |
One does not exist. |
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Hint |
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9. |
In find c if A = 36°, B = 101°, and b = 42.7. |
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A. |
about 29.7 units |
B. |
about 40.2 units |
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C. |
about 31.8 units |
D. |
about 25.3 units |
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Hint |
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10. |
In given a = 22, b = 39 and c = 19, find B. |
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A. |
about 36.0° |
B. |
about 126.0° |
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C. |
about 144.0° |
D. |
about 54.0° |
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Hint |
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11. |
State the period for the function . |
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A. |
4 |
B. |
8 |
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C. |
16 |
D. |
2 |
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Hint |
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12. |
Write an equation of a cosine function with amplitude 3, period , phase shift , and vertical shift 2. |
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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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13. |
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 above equilibrium |
B. |
3 units below equilibrium |
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C. |
6 units below equilibrium |
D. |
6 units above equilibrium |
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Hint |
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14. |
Which equation has an undefined slope? |
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A. |
y = 4x + 2 |
B. |
x = 4 |
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C. |
y = 4x |
D. |
y = 4 |
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Hint |
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15. |
How can you tell if two lines are perpendicular? |
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A. |
The slopes are reciprocals. |
B. |
The slopes are the same. |
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C. |
The slopes are opposites. |
D. |
The slopes are opposite reciprocals. |
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Hint |
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16. |
What is the value of y when x = 2? |
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A. |
1 |
B. |
2 |
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C. |
undefined |
D. |
0 |
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Hint |
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17. |
Determine the coordinates of a dilated figure with a scale factor of 1.5 if the vertices of the original are A(3,5), B(-4,5), C(-4,-5), and D(3,-5) |
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A. |
A(1.5,3.5), B(-5.5,3.5), C(-5.5,-6.5) and D(1.5,-6.5) |
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B. |
A(4.5,6.5), B(-2.5,6.5), C(-2.5,-3.5) and D(4.5,-3.5) |
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C. |
A(1.5,2.5), B(-2,2.5), C(-2,-2.5), and D(1.5,-2.5) |
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D. |
A(4.5,7.5), B(-6,7.5), C(-6,-7.5) and D(4.5,-7.5) |
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Hint |
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18. |
Use matrices to determine the coordinates of the image of
with vertices A(-3,4), B(-5,2) and C(-6,5) once it is rotated 90°. |
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A. |
A'(3,-4), B(5,-2) and C'(6,-5) |
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B. |
A'(-4,-3), B(-2,-5) and C'(-5,-6) |
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C. |
A'(-3,-4), B(-5,-2) and C'(-6,-5) |
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D. |
A'(3,4), B(5,2) and C'(6,5) |
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Hint |
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19. |
Which is the graph of y ? |
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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. |
Use a graphing calculator to graph f(x) = x5 + x4 - x3 + 4 and to determine and classify the extrema. |
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A. |
relative maximum (0.487, 3.968)relative minimum (1.24,5.34) |
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B. |
relative minimum (-2,-4) relative maximum (0,4) |
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C. |
relative maximum (-2,-4)relative minimum (0,4) |
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D. |
relative maximum (-1.27, 5.35)relative minimum (0.487, 3.968) |
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Hint |
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