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1. |
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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2. |
Find the value of  . |
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A. |
-3 |
B. |
17 |
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C. |
-17 |
D. |
3 |
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Hint |
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3. |
Find the value of  . |
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A. |
28 |
B. |
-24 |
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C. |
-28 |
D. |
24 |
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Hint |
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4. |
Which is the graph of f(x) = x2 - 3 and its inverse? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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5. |
Determine the slant asymptote for f(x) =  . |
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A. |
y = 3x - 2 |
B. |
y = -2x +3 |
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C. |
y = 3x + 2 |
D. |
y = 2x + 3 |
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Hint |
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6. |
Find the rational zeros of the equation 2x4 - x3 - 21x2 + 9x + 27 = 0. |
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A. |
3, -3, -1,  |
B. |
3, -3, -1,  |
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C. |
3, 1, -1, |
D. |
3, 1, -1, |
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Hint |
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7. |
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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8. |
Solve  > 0. |
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A. |
-1 < x < 0 or x > 1 |
B. |
-2 < x < 0 or x > 2 |
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C. |
-1 < x < 0 or x > 2 |
D. |
-2 < x < 0 or x < 1 |
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Hint |
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9. |
Solve  - x + 1 = 0. |
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A. |
-1, 2 |
B. |
1, -2 |
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C. |
-1, -2 |
D. |
1, 2 |
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Hint |
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10. |
Choose the angle measure represented by 4.7 rotations clockwise. |
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A. |
1692° |
B. |
-846° |
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C. |
846° |
D. |
-1692° |
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Hint |
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11. |
If  find  |
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A. |
 |
B. |
7 |
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C. |
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D. |
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Hint |
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12. |
In  find c if A = 36°, B = 101°, and b = 42.7. |
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A. |
about 40.2 units |
B. |
about 29.7 units |
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C. |
about 31.8 units |
D. |
about 25.3 units |
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Hint |
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13. |
In given A = 100°, b = 7 and c = 6, find a. |
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A. |
about 10.0 |
B. |
about 7.5 |
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C. |
about 6.3 |
D. |
about 8.4 |
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Hint |
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14. |
Which function does not have a zero? |
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A. |
f(x) = x - 5 |
B. |
f(x) = -5 |
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C. |
f(x) = –5x +3 |
D. |
f(x) = 3x + 5 |
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Hint |
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15. |
Solve the system of three equations by elimination: 5x + 2y - 3z = 10
2x - 2y + 4z = 6
x - y + 2z = 3
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A. |
infinite solutions |
B. |
no solution |
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C. |
(2, -5, 3) |
D. |
(3, 4, 2) |
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Hint |
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16. |
The quadrilateral with vertices A(-1,5), B(2,7), C(4,5) and D(3,3) is reflected over the line y = x . Find the image of the quadrilateral after the reflection. |
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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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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. |
Solve the system of inequalities by graphing.
x + y  4
2x - y < 4
y  0 |
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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. |
Solve the system of inequalities by graphing.
2x + y 3
2x + y -2
y 4
x < 1 |
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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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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 (-1.27, 5.35)relative minimum (0.487, 3.968) |
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B. |
relative maximum (0.487, 3.968)relative minimum (1.24,5.34) |
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C. |
relative maximum (-2,-4)relative minimum (0,4) |
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D. |
relative minimum (-2,-4) relative maximum (0,4) |
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Hint |
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