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1. |
If you divide 12ab3 by 4b, the answer is |
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(a) | 3ab2 |
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(b) | 8b2 |
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(c) | ab2 |
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(d) | 0 |
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(e) | ab3 - b |
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2. |
| Simplify |
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(x3 + 2x2 + 2x + 1)
(x + 1)
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(a) | x2 + 1 |
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(b) | x2 - 2x + 1 |
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(c) | x2 - x + 1 |
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(d) | x2 + 2x + 1 |
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(e) | x2 + x + 1 |
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3. |
| Evaluate |
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( |
1
x
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+ 3 ) ( 5 + |
2
x2
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). |
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(a) | |
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(b) | |
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(c) | |
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(d) | |
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(e) | All of the other answers are incorrect. |
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4. |
The distance from the point (1,2) to the point (2,1) is |
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(a) | 2 |
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(b) | 21/2
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(c) | 31/2 |
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(d) | 3(21/2) |
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(e) | 3 |
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5. |
The set of points (x,y) such that
x2 -4x + y2 -6y = 15
is a circle centered at |
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(a) | (0,0) |
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(b) | (2,3) |
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(c) | (4,9) |
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(d) | (9,4) |
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(e) | (3,2) |
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6. |
The distance from the point (x,y) to the point (2,3)
is twice the distance from the point (x,y) to the point (5,7).
What is the maximum possible distance from (x,y) to (2,3)? |
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(a) | 5 |
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(b) | 4 |
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(c) | 10 |
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(d) | 25 |
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(e) | 15 |
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7. |
If 3x + 6 = 12, what is x? |
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(a) | x = 0 |
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(b) | x = 4 |
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(c) | All of the other answers are incorrect. |
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(d) | x = 2 |
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(e) | x = -2 |
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8. |
If x = 8, find the largest value of y which satisfies
y2x + yx2 + 128 = 0. |
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(a) | There is no largest value. |
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(b) | 8 |
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(c) | -8 |
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(d) | -4 |
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(e) | 4 |
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9. |
How many real solutions for x are there to the equation
x2 + 3x + 8 = 0? |
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(a) | 0 |
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(b) | 1 |
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(c) | 2 |
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(d) | It cannot be determined. |
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(e) | 3 |
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10. |
[x2]1/2 reduces to |
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(a) | 1 |
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(b) | |x| |
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(c) | 0 |
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(d) | x2 |
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(e) | x |
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11. |
Which of the following values of x satisfies
log2(x) - log2(x+1) = -1?
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(a) | x = 1 |
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(b) | x = 1/3 |
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(c) | x = -1/3 |
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(d) | x = 3 |
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(e) | x = 2 |
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12. |
Which of the following values of x satisfies
log2(3x) + log2(2x) = 3? |
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(a) | x = (3/2)1/2 |
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(b) | x = 4 |
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(c) | x = 3/5 |
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(d) | x = 5 |
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(e) | x = (4/3)1/2 |
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13. |
If g(x) = 5x + 2, what is g(2)?
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(a) | 12 |
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(b) | 14 |
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(c) | 16 |
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(d) | 11 |
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(e) | 10 |
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14. |
If f(x) = 3x + 3 and g(y) = 2y + 5, what is g(f(2))? |
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(a) | All of the other answers are incorrect. |
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(b) | 30 |
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(c) | 9 |
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(d) | 23 |
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(e) | 7 |
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15. |
If f(x) = 3x + 3 what is f(f(2))?
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(a) | 9 |
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(b) | Not defined. |
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(c) | 30 |
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(d) | 81 |
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(e) | All of the other answers are incorrect.
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16. |
Let a = -3, b = 5, and c = -1. Evaluate
|a - b| - (c - a) |
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(a) | 6 |
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(b) | 11 |
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(c) | -2 |
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(d) | 8 |
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(e) | 10 |
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17. |
The inequality x3 < 2x2 -x reduces to |
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(a) | x < 1 |
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(b) | x < 0 |
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(c) | x > 0 |
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(d) | x < 0 or x is not equal to 1 |
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(e) | x > 1 |
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18. |
| Under which of the following conditions does x
satisfy |
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(a) | x - 1 > 0 and x + 2 > 0 |
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(b) | All of the other answers are incorrect. |
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(c) | There are no values of x which satisfy this expression. |
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(d) | x + 2 > 0 |
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(e) | x is not equal to 1 and x + 2 > 0 |
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19. |
If 4x - y = 1 and 2x + y = 5,
find x and y. |
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(a) | x = 1 and y = 3 |
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(b) | x = 0 and y = 6 |
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(c) | x = 0 and y = 3 |
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(d) | x = -1 and y = 5 |
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(e) | x = 4 and y = 1 |
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20. |
If x - y = 4
and 4x - y = 1,
then 3xy is |
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(a) | 12 |
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(b) | 15 |
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(c) | 9 |
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(d) | 6 |
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(e) | Cannot be determined |
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21. |
If y + 3x + 2 = 0 and y = x2,
then there is a solution with x given by
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(a) | x = 0 |
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(b) | x = -1 |
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(c) | x = 1 |
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(d) | x = 2 |
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(e) | Cannot be determined |
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22. |
A right triangle has sides of length 3, 4, and 5. What is the
cosine of its smallest angle? |
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(a) | 4/3 |
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(b) | 3/5 |
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(c) | 4/5 |
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(d) | 5/3 |
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(e) | 3/4 |
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23. |
Which of the following is correct? |
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(a) | sin(.1) < cos(.1) < sin(.1)cos(.1) |
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(b) | sin(.1)cos(.1) < sin(.1) < cos(.1) |
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(c) | sin(.1) < sin(.1)cos(.1) < cos(.1) |
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(d) | cos(.1) < sin(.1) < sin(.1)cos(.1) |
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(e) | cos(.1) < sin(.1)cos(.1) < sin(.1) |
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24. |
Two lines each contain the point (0,0). One line
has slope 3 and the other line has slope 5. The
tangent of the angle interior to the lines is |
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(a) | 1 |
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(b) | 2 |
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(c) | 1/8 |
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(d) | 0 |
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(e) | 8 |
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