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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) | 96a-13b27 |
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(c) | 48a-13b-27 |
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(d) | 96a-3b27 |
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(e) | All of the other answers are incorrect. |
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3. |
| Evaluate |
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( |
1
x
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+ 3 ) ( 5 + |
2
x2
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(a) | |
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(b) | |
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(c) | All of the other answers are incorrect. |
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(d) | |
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(e) | |
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4. |
Find the midpoint of the line segment between (-2,1) and (4,5). |
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(a) | (-1,1) |
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(b) | (1,3) |
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(c) | (3,-1) |
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(d) | (3,3) |
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(e) | (3,1) |
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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) | (2,0) |
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(d) | (0,2) |
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(e) | (1, 5/2) |
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6. |
A circle contains the four vertices of a square with
diagonal of length 6. The area of the region outside the
square and inside the circle is |
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(a) | 36pi - 36 |
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(b) | 36 |
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(c) | 9pi - 9 |
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(d) | 36 pi |
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(e) | 9pi - 18 |
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7. |
Let f(x) = 3x + 2. For which
x is f(x) = -2? |
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(a) | -2/3 |
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(b) | 0 |
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(c) | 4/3 |
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(d) | -4/3 |
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(e) | -3/2 |
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8. |
If x = y and
x2y2 - 5xy + 6 = 0, then
which of the following is possible? |
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(a) | x2 = 6 |
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(b) | x2 = 3 |
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(c) | x = 3 |
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(d) | x = 6 |
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(e) | x = 2 |
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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) | It cannot be determined. |
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(c) | 0 |
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(d) | 1 |
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(e) | 3 |
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10. |
log(3/2) equals |
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(a) | log(2) + log(3) |
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(b) | (1/2)log(3) |
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(c) | log(3) - log(2) |
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(d) | log(2) - log(3) |
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(e) | 3 log(1/2) |
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11. |
What is log3(35)? |
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(a) | 3e |
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(b) | e |
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(c) | 5 |
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(d) | 1/3 |
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(e) | 1/5 |
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12. |
log(x2 - 2x +1) > log(25) reduces to |
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(a) | x < -4 or x > 6 |
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(b) | x < -4 |
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(c) | x > 6 |
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(d) | x > -4 |
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(e) | x < 6 |
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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 0 |
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(b) | The set of all numbers x such that x is greater than or equal to 1 |
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(c) | The set of all numbers x such that x is less than or equal to 1 |
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(d) | The set of all numbers |
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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) | 9 |
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(b) | 30 |
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(c) | 23 |
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(d) | All of the other answers are incorrect. |
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(e) | 7 |
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15. |
If f(x) = 3x2 + 4
and g(y) = 2y1/2 + 5,
what is g(f(2))? |
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(a) | 10 |
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(b) | 13 |
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(c) | 20 |
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(d) | 9 |
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(e) | All of the other answers are incorrect. |
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16. |
The expression 40 < 5x < 80 is equivalent to which of the following? |
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(a) | All of the other answers are incorrect. |
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(b) | 8 < x < 16 |
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(c) | 35 < x < 75 |
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(d) | 8 > x < 16 |
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(e) | 8 < x > 16 |
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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 > 1 |
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(c) | x < 0 |
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(d) | x > 0 |
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(e) | x < 0 or x is not equal to 1 |
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18. |
| Under which of the following conditions does x
satisfy |
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(a) | x + 2 > 0 |
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(b) | x - 1 > 0 and x + 2 > 0 |
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(c) | x is not equal to 1 and x + 2 > 0 |
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(d) | All of the other answers are incorrect. |
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(e) | There are no values of x which satisfy this expression. |
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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 = 2 |
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(d) | x = 2 and y = 1 |
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(e) | x = 2 and y = -2 |
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20. |
If 5x-6y = 4 and 3x + 4y = 10,
then x/y is
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(a) | Cannot be determined |
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(b) | 0 |
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(c) | 1 |
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(d) | 2 |
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(e) | 3 |
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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 = 2 |
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(b) | x = 1 |
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(c) | Cannot be determined |
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(d) | x = 0 |
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(e) | x = -1 |
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22. |
If a circle has radius 2, then what is the radian measure of
an angle whose vertex is at the center of circle and which cuts an
arc of length 1 along the circle? |
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(a) | 1/(4pi) |
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(b) | 2pi |
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(c) | 1/2 |
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(d) | pi/2 |
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(e) | 2 |
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23. |
Which of the following is correct? |
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(a) | cos(.1) < sin(.1)cos(.1) < sin(.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) | sin(.1) < cos(.1) < sin(.1)cos(.1) |
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24. |
A triangle has sides of length 5, 5 and 8. What is the sine of its
smallest angle? |
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(a) | 3/8 |
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(b) | 5/8 |
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(c) | 4/5 |
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(d) | 3/5 |
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(e) | 8/5 |
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