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1. |
If you divide 12ab3 by 4b, the answer is |
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(a) | 8b2 |
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(b) | 0 |
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(c) | ab2 |
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(d) | 3ab2 |
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(e) | ab3 - b |
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2. |
The remainder of dividing the polynomial
x3 + x2
by x2 +1 is |
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(a) | -x -1 |
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(b) | 1 |
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(c) | x |
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(d) | x +1 |
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(e) | 0 |
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3. |
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(a) | |
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(b) |
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(c) | 12 |
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(d) |
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(e) |
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| ( |
x+1
x - 3
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| ( |
x2 - 2x - 3
x+1
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4. |
A line containing the point (0,0) defines an angle of 45 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) | (1,3) |
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(b) | (1,-2) |
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(c) | (1,1) |
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(d) | (1,-1) |
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(e) | (1,2) |
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5. |
What is the slope of a line parallel to 5x - 7y + 2 = 0? |
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(a) | -7 |
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(b) | 5/7 |
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(c) | 7/5 |
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(d) | 2 |
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(e) | 5 |
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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) | 4 |
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(b) | 15 |
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(c) | 10 |
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(d) | 25 |
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(e) | 5 |
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7. |
Let f(x) = 3x + 2. For which
x is f(x) = -2? |
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(a) | 4/3 |
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(b) | -4/3 |
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(c) | -2/3 |
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(d) | 0 |
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(e) | -3/2 |
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8. |
If x = 3, find the smallest value of y which satisfies
y2x + 3yx2 + 54 = 0. |
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(a) | -3 |
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(b) | 0 |
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(c) | There is no smallest value. |
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(d) | -6 |
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(e) | 3 |
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9. |
Find the largest solution of
x3 + 4x2 + 3x = 0. |
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(a) | x = -3 |
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(b) | x = -1 |
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(c) | x = 0 |
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(d) | x = 1 |
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(e) | x = -2 |
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10. |
If f(x) = 2-x, find f(4). |
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(a) | 8 |
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(b) | -1/16 |
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(c) | 16 |
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(d) | -16 |
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(e) | 1/16 |
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11. |
log2(x2 y2) is equal to which of the following? |
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(a) | log2(x) + log2(y) |
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(b) | [log2(x)]2 + [log2(y)]2 |
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(c) | 2log2(x) + 2log2(y) |
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(d) | log2(x2) 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 = (4/3)1/2 |
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(b) | x = 3/5 |
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(c) | x = 4 |
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(d) | x = (3/2)1/2 |
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(e) | x = 5 |
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13. |
If f(x) = x + 5, what is f(3)? |
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(a) | 2 |
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(b) | 3 |
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(c) | 5 |
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(d) | 8 |
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(e) | 9 |
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14. |
The function f(x) =
[x2 -1]1/2 has domain |
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(a) | The set of all numbers x such that
1 < x |
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(b) | The set of all numbers x such that either
x < -1 or 1 < x
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(c) | The set of all numbers x such that
1 is less than or equal to x |
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(d) | The interval [-1,1] |
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(e) | The set of all numbers x such that
either x is less than or equal to -1 or
1 is less than or equal to x |
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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) | All of the other answers are incorrect. |
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(b) | 9 |
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(c) | 13 |
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(d) | 10 |
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(e) | 20 |
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16. |
The expression -18 < -6x < 12
is equivalent to which of the following? |
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(a) | 3 > x > 2 |
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(b) | -2 > x > -3 |
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(c) | All of the other answers are incorrect. |
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(d) | 2 > x > -3 |
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(e) | 3 > x > -2 |
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17. |
| The inequality |
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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 is not equal to 0 |
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(e) | x > 0 |
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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) | All of the other answers are incorrect. |
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(d) | x is not equal to 1 and x + 2 > 0 |
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(e) | There are no values of x which satisfy this expression. |
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19. |
If 3x + 4y = 7 and 5x-4y = 1,
then xy is |
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(a) | 2 |
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(b) | 4 |
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(c) | 3 |
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(d) | Cannot be determined |
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(e) | 1 |
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20. |
If x - y = 4
and 4x - y = 1,
then 3xy is |
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(a) | Cannot be determined |
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(b) | 9 |
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(c) | 15 |
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(d) | 6 |
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(e) | 12 |
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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 = 0 |
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(c) | x = -1 |
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(d) | x = 1 |
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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) | 4/5 |
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(b) | 3/5 |
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(c) | 3/4 |
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(d) | 5/3 |
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(e) | 4/3 |
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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/(31/2) |
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(b) | 1/2 |
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(c) | 31/2/2 |
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(d) | 2/3 |
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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,-2) |
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(c) | (1,-31/2) |
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(d) | (1,31/2) |
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(e) | (1,-3) |
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