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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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(e) | |
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2. |
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(a) | 48a-3b27 |
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(b) | 48a-13b-27 |
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(c) | All of the other answers are incorrect. |
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(d) | 96a-3b27 |
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(e) | 96a-13b27 |
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3. |
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(a) |
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x+1
x - 3
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| ( |
x2 - 2x - 3
x+1
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(b) |
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(c) |
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(d) | |
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(e) | 12 |
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4. |
The set of points (x,y) such that
x2 + y2 = 9
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(a) | a circle of radius 9 centered at (0,0) |
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(b) | a circle of radius 3 centered at (1,1) |
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(c) | an hyperbola |
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(d) | a circle of radius 3 centered at (0,0) |
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(e) | a parabola |
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5. |
Which of the following points is closer to the point
(1,1) than the point (2,2) is to (1,1)? |
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(a) | (1, 5/2) |
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(b) | (0,1) |
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(c) | (2,0) |
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(d) | (0,0) |
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(e) | (0,2) |
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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. |
Find all solutions to x2-3x + 2 = 0. |
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(a) | x = -1 and x = -2 |
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(b) | x = 1 and x = -2 |
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(c) | x = -1 and x = 2 |
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(d) | x = 1.1 and x = 2.1 |
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(e) | x = 1 and 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) | 8 |
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(b) | There is no largest value. |
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(c) | 4 |
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(d) | -8 |
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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) | 2 |
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(b) | 3 |
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(c) | It cannot be determined. |
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(d) | 1 |
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(e) | 0 |
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10. |
163/2 is |
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(a) | 83 |
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(b) | 8 |
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(c) | 32 |
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(d) | 64 |
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(e) | 128 |
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11. |
log2(3xy2) is equal to which of the following?
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(a) | log2(3) + log2(x) + log2(y2) |
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(b) | 3log2(x) + 2log2(y) |
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(c) | 3 log2(x) + [log2(y)]2 |
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(d) | log2(3x) log2(y2) |
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(e) | All of the other answers are incorrect. |
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12. |
Which of the following values of x satisfies
log2(3x) + log2(2x) = 3? |
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(a) | x = 3/5 |
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(b) | x = (3/2)1/2 |
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(c) | x = (4/3)1/2 |
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(d) | x = 4 |
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(e) | x = 5 |
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13. |
If h(x) = x4 +1, g(x) = x3+1
and f(x) = x2 +1, then
f( g(0) + h(0) ) is: |
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(a) | 11 |
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(b) | 1 |
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(c) | 5 |
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(d) | 9 |
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(e) | 0 |
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14. |
If f(x) = 3x + 3 and g(y) = 2y + 5,
what is f(g(2))? |
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(a) | 7 |
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(b) | 9 |
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(c) | 23 |
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(d) | 30 |
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(e) | 3 |
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15. |
If f(x)=3x2 + 3,
what is f(f(a))? |
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(a) | Not defined. |
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(b) | 3(3a2 + 3)2 + 3 |
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(c) | 0 |
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(d) | 3a2 + 3 |
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(e) | All of the other answers are incorrect. |
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16. |
| The expression |
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(a) | -4 < x < 12 |
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(b) | -36 < 3x < 92 |
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(c) | All of the other answers are incorrect. |
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(d) | -12 < x < 31 |
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(e) | -4 < x < 93 |
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17. |
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(a) | -12 < x < 12 |
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(b) | -12 < x < 13 |
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(c) | -13 < x < 12 |
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(d) | -13 < x < 13 |
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(e) | All of the other answers are incorrect. |
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18. |
| Under which of the following conditions does x
satisfy |
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(a) | x is not equal to 1 and x + 2 > 0 |
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(b) | There are no values of x which satisfy this expression. |
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(c) | x - 1 > 0 and x + 2 > 0 |
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(d) | All of the other answers are incorrect. |
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(e) | x + 2 > 0 |
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19. |
If 5x - 6y = 4 and 3x + 4y = 10,
find x and y.
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(a) | x = -2 and y = -1 |
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(b) | x = -2 and y = 2 |
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(c) | x = 2 and y = 1 |
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(d) | x = 4 and y = 1 |
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(e) | x = 2 and y = -2 |
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20. |
If y + 4x - 18 = 0 and y2 = x, then there is a solution with y given by |
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(a) | y = 0 |
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(b) | y = 2 |
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(c) | y = 1 |
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(d) | Cannot be determined
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(e) | y = 9/4 |
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21. |
If y + 4x - 5 = 0 and y = x2,
then there is a solution with y given by
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(a) | y = 25 |
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(b) | y = 20 |
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(c) | Cannot be determined |
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(d) | y = 30 |
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(e) | y = 0 |
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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) | 4/5 |
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(b) | 4/3 |
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(c) | 3/4 |
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(d) | 3/5 |
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(e) | 5/3 |
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23. |
If sin(a) = 1, cos(b) > 0, and sin(b) = 1/2,
then sin(a + b) is |
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(a) | 2/3 |
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(b) | 3/2 |
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(c) | 31/2/2 |
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(d) | 2/(31/2) |
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(e) | 1/2 |
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24. |
If sin(a + b) = 1 and cos(a) = 0,
then cos(2b) is |
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(a) | cannot be determined |
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(b) | 1/2 |
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(c) | 0 |
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(d) | 1 |
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(e) | 2 |
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