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1. |
The remainder of dividing the polynomial
x3-x2+x-1
by x-1 is
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(a) | 1 |
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(b) | 3 |
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(c) | 0 |
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(d) | 2 |
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(e) | x |
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2. |
Find the product (2x+y)(y-3x). |
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(a) | All of the other answers are incorrect. |
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(b) | -6x2 + y2 - xy |
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(c) | -xy |
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(d) | 6x2 + y2 - xy |
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(e) | -6x2 + y2 |
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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) | All of the other answers are incorrect. |
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(c) | |
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(d) | |
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(e) | |
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4. |
| The graph |  |
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following equations for on the interval [-1.5,1.5]?
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(a) | y = x1/2 |
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(b) | y = x2 |
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(c) | y = x3 |
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(d) | y = x |
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(e) | y2 + x2 = 1 |
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5. |
Which of the following points is on the line segment from
(1,0) to (4,9)? |
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(a) | (2,1) |
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(b) | (2,4) |
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(c) | (2,2) |
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(d) | (2,0) |
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(e) | (2,3) |
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6. |
The line containing the points (1,1) and (1,-1) is perpendicular
to the line
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(a) | y = 5 |
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(b) | y = 2x +1 |
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(c) | x = 5 |
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(d) | y = -x -1 |
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(e) | y -1 = x -1 |
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7. |
If 3x + 6 = 12, what is x? |
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(a) | All of the other answers are incorrect. |
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(b) | x = 4 |
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(c) | x = 2 |
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(d) | x = 0 |
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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) | -4 |
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(d) | 4 |
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(e) | -8 |
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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. |
log(3/2) equals |
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(a) | log(2) - log(3) |
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(b) | log(2) + log(3) |
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(c) | 3 log(1/2) |
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(d) | (1/2)log(3) |
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(e) | log(3) - log(2) |
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11. |
log2(x2 y2) is equal to which of the following? |
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(a) | log2(x2) log2(y2) |
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(b) | log2(x) + log2(y) |
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(c) | All of the other answers are incorrect. |
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(d) | 2log2(x) + 2log2(y) |
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(e) | [log2(x)]2 + [log2(y)]2 |
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12. |
log(x2 - 2x +1) > log(25) reduces to |
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(a) | x > -4 |
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(b) | x < 6 |
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(c) | x < -4 |
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(d) | x < -4 or x > 6 |
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(e) | x > 6 |
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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) | 0 |
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(b) | 11 |
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(c) | 5 |
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(d) | 1 |
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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
1 is less than or equal to x |
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(c) | 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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(d) | The set of all numbers x such that either
x < -1 or 1 < x
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(e) | The interval [-1,1] |
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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) | 9 |
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(b) | 10 |
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(c) | 13 |
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(d) | 20 |
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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 < 93 |
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(b) | -36 < 3x < 92 |
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(c) | -12 < x < 31 |
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(d) | -4 < x < 12 |
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(e) | All of the other answers are incorrect. |
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17. |
| The inequality |
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(a) | x > 0 |
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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) | x is not equal to 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 is not equal to 1 and x + 2 > 0 |
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(c) | 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 4x - y = 1 and 2x + y = 5,
find x and y. |
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(a) | x = -1 and y = 5 |
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(b) | x = 4 and y = 1 |
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(c) | x = 1 and y = 3 |
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(d) | x = 0 and y = 6 |
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(e) | x = 0 and y = 3 |
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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 = 1 |
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(b) | y = 2 |
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(c) | y = 9/4 |
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(d) | Cannot be determined
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(e) | y = 0 |
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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 = 30 |
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(b) | Cannot be determined |
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(c) | y = 20 |
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(d) | y = 25 |
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(e) | y = 0 |
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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) | 1/2 |
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(b) | 2 |
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(c) | 2pi |
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(d) | pi/2 |
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(e) | 1/(4pi) |
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23. |
Which of the following is correct? |
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(a) | cos(.1) < sin(.1) < sin(.1)cos(.1) |
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(b) | sin(.1) < cos(.1) < sin(.1)cos(.1) |
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(c) | cos(.1) < sin(.1)cos(.1) < sin(.1) |
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(d) | sin(.1)cos(.1) < sin(.1) < cos(.1) |
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(e) | sin(.1) < sin(.1)cos(.1) < cos(.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) | 0 |
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(d) | 8 |
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(e) | 1/8 |
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