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1. |
The remainder of dividing the polynomial
x3-x2+x-1
by x-1 is
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(a) | 0 |
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(b) | x |
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(c) | 1 |
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(d) | 2 |
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(e) | 3 |
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2. |
| Simplify |
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(x3 + 2x2 + 2x + 1)
(x + 1)
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(a) | x2 + x + 1 |
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(b) | x2 - x + 1 |
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(c) | x2 + 2x + 1 |
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(d) | x2 - 2x + 1 |
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(e) | x2 + 1 |
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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) | |
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(c) | |
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(d) | All of the other answers are incorrect. |
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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 = x3 |
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(b) | y = x2 |
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(c) | y = x1/2 |
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(d) | y2 + x2 = 1 |
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(e) | y = x |
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5. |
A triangle has a side of length 3, a side of length 4, and a side
of length x. The possible values of x are |
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(a) | 1 < x < 7 |
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(b) | 0 < x |
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(c) | 0 < x < 5 |
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(d) | x = 5 |
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(e) | x > 7 |
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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 - 18 |
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(d) | 36 pi |
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(e) | 9pi - 9 |
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7. |
Let f(x) = 3x + 2. For which
x is f(x) = -2? |
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(a) | 0 |
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(b) | 4/3 |
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(c) | -4/3 |
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(d) | -2/3 |
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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) | -3 |
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(c) | -6 |
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(d) | There is no smallest value. |
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(e) | 0 |
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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) | It cannot be determined. |
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(b) | 0 |
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(c) | 3 |
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(d) | 1 |
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(e) | 2 |
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10. |
Simplify (x/2x3)(y2/y). |
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(a) | 2x-2y - 1 |
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(b) | (x y2)/(2x3y) |
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(c) | (1/2)x - 2 y |
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(d) | (x/2)-2 y |
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(e) | (1/2)x-2 + y |
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11. |
| Find the value of x that satisfies the equation |
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(a) | 4 |
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(b) | 2 |
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(c) | 1 |
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(d) | 0 |
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(e) | 3 |
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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 = 4 |
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(c) | x = (3/2)1/2 |
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(d) | x = 5 |
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(e) | x = 3/5 |
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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 greater than or equal to 1 |
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(b) | The set of all numbers x such that x
is greater than or equal to 0 |
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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 x such that x is less than or equal to 0 |
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(e) | The set of all numbers |
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14. |
If h(x) = x3, g(x) = x2+1 and f(x) = x +1, then h(g(f(0))) + f(g(h(0))) is: |
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(a) | 4 |
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(b) | 0 |
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(c) | 16 |
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(d) | 9 |
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(e) | 10 |
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15. |
If f(x)=3x2 + 3,
what is f(f(a))? |
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(a) | 0 |
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(b) | 3a2 + 3 |
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(c) | 3(3a2 + 3)2 + 3 |
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(d) | Not defined. |
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(e) | All of the other answers are incorrect. |
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16. |
Let a = -3, b = 5, and c = -1. Evaluate
|a - b| - (c - a) |
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(a) | -2 |
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(b) | 11 |
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(c) | 6 |
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(d) | 8 |
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(e) | 10 |
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17. |
The inequality (x - 1)2 > 1 is equivalent to |
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(a) | 0 < x and x < 2 |
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(b) | x > 2 |
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(c) | x < 0 or x > 2 |
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(d) | x < -2 |
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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 is not equal to 1 and x + 2 > 0 |
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(b) | All of the other answers are incorrect. |
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(c) | x - 1 > 0 and x + 2 > 0 |
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(d) | 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, find x and y. |
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(a) | x = 2 and y = 2 |
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(b) | x = 2 and y = 1 |
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(c) | x = -1 and y = 1 |
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(d) | x = 1 and y = -1 |
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(e) | x = 1 and y = 1 |
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20. |
If 5x-6y = 4 and 3x + 4y = 10,
then x/y is
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(a) | 0 |
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(b) | 1 |
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(c) | 3 |
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(d) | Cannot be determined |
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(e) | 2 |
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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 = 20 |
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(b) | y = 0 |
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(c) | Cannot be determined |
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(d) | y = 25 |
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(e) | y = 30 |
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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) | 3/4 |
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(b) | 3/5 |
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(c) | 4/3 |
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(d) | 5/3 |
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(e) | 4/5 |
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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) < sin(.1)cos(.1) < cos(.1) |
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(c) | sin(.1) < cos(.1) < sin(.1)cos(.1) |
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(d) | sin(.1)cos(.1) < sin(.1) < cos(.1) |
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(e) | cos(.1) < sin(.1)cos(.1) < sin(.1) |
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24. |
If sin(a + b) = 1 and
tan(a) = 0,
then tan(b) is |
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(a) | 1/2 |
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(b) | 1/4 |
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(c) | 0 |
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(d) | undefined |
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(e) | 1 |
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