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1. |
The equation, 4x2 - 6x + 10 = 0, has |
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(a) | one real solution |
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(b) | no real solutions |
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(c) | two real solutions |
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(d) | four real solutions |
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(e) | three real solutions |
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2. |
Find the product (2x+y)(y-3x). |
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(a) | -xy |
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(b) | 6x2 + y2 - xy |
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(c) | All of the other answers are incorrect. |
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(d) | -6x2 + y2 |
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(e) | -6x2 + y2 - xy |
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3. |
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(a) |
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(b) |
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x+1
x - 3
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| ( |
x2 - 2x - 3
x+1
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(c) | 12 |
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(d) | |
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(e) |
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4. |
What is the slope of the line through (1,2) and (2,-1)?
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(a) | -1/3 |
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(b) | 3 |
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(c) | 0 |
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(d) | 1/3 |
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(e) | -3 |
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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) | (0,1) |
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(b) | (0,0) |
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(c) | (1, 5/2) |
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(d) | (0,2) |
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(e) | (2,0) |
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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) | 15 |
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(b) | 4 |
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(c) | 10 |
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(d) | 25 |
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(e) | 5 |
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7. |
If 2(2x-3) + 5(x + 1) = 6x-7, what is x? |
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(a) | x = 2 |
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(b) | x = -2 |
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(c) | x = -4 |
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(d) | x = 8 |
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(e) | x = 4 |
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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) | -4 |
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(b) | 4 |
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(c) | 8 |
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(d) | -8 |
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(e) | There is no largest value. |
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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) | 1 |
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(c) | It cannot be determined. |
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(d) | 0 |
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(e) | 3 |
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10. |
If f(x) = 2-x, find f(4). |
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(a) | 1/16 |
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(b) | 8 |
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(c) | -1/16 |
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(d) | 16 |
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(e) | -16 |
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11. |
log2(x2 y2) is equal to which of the following? |
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(a) | [log2(x)]2 + [log2(y)]2 |
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(b) | log2(x2) log2(y2) |
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(c) | 2log2(x) + 2log2(y) |
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(d) | All of the other answers are incorrect. |
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(e) | log2(x) + log2(y) |
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12. |
Which of the following values of x satisfies
log2(3x) + log2(2x) = 3? |
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(a) | x = 4 |
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(b) | x = (4/3)1/2 |
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(c) | x = 3/5 |
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(d) | x = (3/2)1/2 |
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(e) | x = 5 |
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13. |
The function f(x) = x2
has range |
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(a) | The set of all numbers x such that x is less than or equal to 1 |
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(b) | The set of all numbers |
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(c) | The set of all numbers x such that x is less than or equal to 0 |
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(d) | The set of all numbers x such that x is greater than or equal to 1 |
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(e) | The set of all numbers x such that x
is greater than or equal to 0 |
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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) | 23 |
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(c) | 9 |
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(d) | 30 |
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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) | All of the other answers are incorrect.
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(b) | 9 |
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(c) | Not defined. |
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(d) | 30 |
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(e) | 81 |
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16. |
The expression -18 < -6x < 12
is equivalent to which of the following? |
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(a) | All of the other answers are incorrect. |
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(b) | 3 > x > -2 |
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(c) | 2 > x > -3 |
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(d) | 3 > x > 2 |
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(e) | -2 > x > -3 |
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17. |
The expression | 5x-2 | > 1 is equivalent to which of the following? |
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(a) | x < -1/5 |
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(b) | There are no values of x which satisfy this expression. |
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(c) | x < 1/5 or x > 3/5 |
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(d) | x < 1/5 and x > 3/5 |
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(e) | x < -1/5 or x > 3/5 |
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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) | x + 2 > 0 |
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(c) | There are no values of x which satisfy this expression. |
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(d) | All of the other answers are incorrect. |
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(e) | x is not equal to 1 and 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 = 4 and y = 1 |
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(c) | x = 2 and y = 1 |
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(d) | x = 2 and y = -2 |
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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) | Cannot be determined
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(b) | y = 1 |
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(c) | y = 9/4 |
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(d) | y = 2 |
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(e) | y = 0 |
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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) | Cannot be determined |
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(b) | x = 2 |
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(c) | x = 0 |
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(d) | x = -1 |
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(e) | x = 1 |
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22. |
The radian measure of an angle of 60 degrees is |
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(a) | pi/4 |
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(b) | pi/3 |
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(c) | 2(pi/3) |
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(d) | pi |
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(e) | pi/2 |
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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/(31/2) |
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(b) | 2/3 |
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(c) | 1/2 |
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(d) | 31/2/2 |
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(e) | 3/2 |
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24. |
A line containing the point (0,0) defines an angle of 60 degrees
with the x-axis. If the slope of the line is negative then the line must
contain the point |
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(a) | (1,-2) |
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(b) | (1,-3) |
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(c) | (1,-31/2) |
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(d) | (1,2) |
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(e) | (1,31/2) |
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