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1. |
The remainder of dividing the polynomial
x3-x2+x-1
by x-1 is
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(a) | 2 |
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(b) | x |
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(c) | 3 |
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(d) | 1 |
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(e) | 0 |
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2. |
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(a) | 96a-13b27 |
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(b) | 48a-13b-27 |
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(c) | 96a-3b27 |
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(d) | All of the other answers are incorrect. |
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(e) | 48a-3b27 |
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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 area of a right triangle with sides 3, 4, and 5 is
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(a) | 12 |
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(b) | 6 |
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(c) | 10 |
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(d) | 20 |
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(e) | 15 |
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5. |
The parabola with equation y = x2 +1
intersects the line y = mx if and only if |
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(a) | m = 2 |
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(b) | m < 0 |
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(c) | 4 less than or equal m2 |
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(d) | 2 less than or equal m |
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(e) | m > 0 |
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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) | 36 |
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(b) | 36pi - 36 |
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(c) | 36 pi |
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(d) | 9pi - 18 |
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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) | 4/3 |
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(b) | -3/2 |
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(c) | 0 |
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(d) | -2/3 |
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(e) | -4/3 |
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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) | There is no smallest value. |
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(b) | -6 |
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(c) | 3 |
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(d) | 0 |
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(e) | -3 |
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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) | 1 |
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(b) | 2 |
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(c) | 3 |
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(d) | It cannot be determined. |
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(e) | 0 |
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10. |
log(6) equals |
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(a) | log(2) + log(3) |
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(b) | 3 |
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(c) | 2 |
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(d) | 2 log(3) |
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(e) | 3 log(2) |
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11. |
log(x) < log(2) reduces to |
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(a) | 10 < x |
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(b) | x is not equal to 2 |
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(c) | x < 10 |
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(d) | x < 2 |
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(e) | 0 < x < 2 |
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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 = (3/2)1/2 |
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(c) | x = 4 |
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(d) | x = 3/5 |
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(e) | x = 5 |
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13. |
If f(x) = x2 + 1
and g(x) = 2x - 1, then f(g(2)) = |
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(a) | 9 |
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(b) | 10 |
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(c) | 5 |
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(d) | 11 |
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(e) | 26 |
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14. |
If f(x) = 3x + 3 and g(y) = 2y + 5,
what is f(g(2))? |
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(a) | 23 |
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(b) | 7 |
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(c) | 3 |
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(d) | 30 |
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(e) | 9 |
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15. |
If f(x) = 3x + 3 what is f(f(2))?
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(a) | 9 |
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(b) | Not defined. |
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(c) | 81 |
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(d) | 30 |
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(e) | All of the other answers are incorrect.
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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 x3 < 2x2 -x reduces to |
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(a) | x > 0 |
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(b) | x > 1 |
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(c) | x < 1 |
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(d) | x < 0 or x is not equal to 1 |
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(e) | x < 0 |
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18. |
The expression ( x + 1)(x + 2) > 0
is equivalent to which of the following? |
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(a) | x > -1 |
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(b) | x < -2 |
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(c) | x < -2 or x > -1 |
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(d) | -1 > x > -2 |
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(e) | All of the other answers are incorrect. |
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19. |
If 4x - y = 1 and 2x + y = 5,
find x and y. |
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(a) | x = 0 and y = 3 |
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(b) | x = 0 and y = 6 |
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(c) | x = 4 and y = 1 |
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(d) | x = 1 and y = 3 |
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(e) | x = -1 and y = 5 |
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20. |
If x - y = 4
and 4x - y = 1,
then 3xy is |
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(a) | 6 |
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(b) | Cannot be determined |
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(c) | 9 |
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(d) | 12 |
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(e) | 15 |
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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 = 1 |
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(c) | x = -1 |
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(d) | x = 2 |
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(e) | x = 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) | pi/2 |
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(b) | 2pi |
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(c) | 1/2 |
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(d) | 1/(4pi) |
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(e) | 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) | 31/2/2 |
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(b) | 1/2 |
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(c) | 3/2 |
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(d) | 2/(31/2) |
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(e) | 2/3 |
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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) | 8 |
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(b) | 1 |
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(c) | 2 |
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(d) | 0 |
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(e) | 1/8 |
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