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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. |
The remainder of dividing the polynomial
x3 + x2
by x2 +1 is |
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(a) | x |
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(b) | -x -1 |
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(c) | 0 |
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(d) | x +1 |
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(e) | 1 |
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3. |
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(a) |
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(b) |
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(c) |
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| ( |
x+1
x - 3
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| ( |
x2 - 2x - 3
x+1
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(d) | |
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(e) | 12 |
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4. |
Find the midpoint of the line segment between (-2,1) and (4,5). |
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(a) | (1,3) |
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(b) | (-1,1) |
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(c) | (3,3) |
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(d) | (3,1) |
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(e) | (3,-1) |
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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) | 4 less than or equal m2 |
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(c) | 2 less than or equal m |
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(d) | m > 0 |
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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) | 36pi - 36 |
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(b) | 9pi - 9 |
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(c) | 36 pi |
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(d) | 36 |
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(e) | 9pi - 18 |
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7. |
Find all solutions to x2-3x + 2 = 0. |
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(a) | x = 1 and x = 2 |
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(b) | x = 1 and x = -2 |
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(c) | x = 1.1 and x = 2.1 |
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(d) | x = -1 and x = 2 |
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(e) | x = -1 and x = -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) | x = 6 |
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(b) | x2 = 3 |
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(c) | x2 = 6 |
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(d) | x = 3 |
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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) | 3 |
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(c) | It cannot be determined. |
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(d) | 1 |
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(e) | 0 |
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10. |
If log(x) = 4 then log(x2) is |
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(a) | 10 |
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(b) | 8 |
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(c) | 1 |
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(d) | 2 |
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(e) | 4 |
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11. |
Which of the following values of x satisfies
log2(x) - log2(x+1) = -1?
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(a) | x = 1 |
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(b) | x = 2 |
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(c) | x = 1/3 |
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(d) | x = 3 |
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(e) | x = -1/3 |
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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 > 6 |
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(e) | x < -4 or x > 6 |
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13. |
If h(x) = x2,
g(x) = x+1,
and f(x) = x +3,
then what is h(g(f(0)))? |
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(a) | 4 |
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(b) | 16 |
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(c) | 1 |
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(d) | 9 |
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(e) | 0 |
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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
either x is less than or equal to -1 or
1 is less than or equal to 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 < -1 or 1 < x
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(d) | The set of all numbers x such that
1 < x |
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(e) | The interval [-1,1] |
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15. |
If f(x) = 3x + 3 what is f(f(2))?
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(a) | 81 |
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(b) | 30 |
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(c) | Not defined. |
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(d) | All of the other answers are incorrect.
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(e) | 9 |
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16. |
| 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 < 0 |
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17. |
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(a) | -12 < x < 13 |
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(b) | -13 < x < 12 |
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(c) | -13 < x < 13 |
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(d) | All of the other answers are incorrect. |
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(e) | -12 < x < 12 |
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18. |
| The inequality |
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(a) | None of the other answers is correct |
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(b) | x is not equal to 0 |
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(c) | x > 0 |
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(d) | x = 0 |
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(e) | x < 0 |
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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 = 2 and y = 1 |
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(c) | x = 2 and y = -2 |
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(d) | x = -2 and y = 2 |
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(e) | x = 4 and y = 1 |
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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 = 0 |
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(b) | y = 9/4 |
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(c) | Cannot be determined
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(d) | y = 1 |
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(e) | y = 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) | Cannot be determined |
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(b) | y = 0 |
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(c) | y = 20 |
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(d) | y = 30 |
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(e) | y = 25 |
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22. |
The radian measure of an angle of 45 degrees is |
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(a) | pi/4 |
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(b) | 2pi/3 |
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(c) | pi/2 |
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(d) | pi |
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(e) | pi/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) | 3/2 |
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(b) | 2/3 |
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(c) | 31/2/2 |
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(d) | 1/2 |
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(e) | 2/(31/2) |
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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,-3) |
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(c) | (1,31/2) |
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(d) | (1,-2) |
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(e) | (1,-31/2) |
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