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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) | 2 |
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(d) | 0 |
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(e) | x |
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2. |
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(a) | 48a-13b-27 |
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(b) | 96a-13b27 |
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(c) | All of the other answers are incorrect. |
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(d) | 96a-3b27 |
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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) | |
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(c) | All of the other answers are incorrect. |
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(d) | |
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(e) | |
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4. |
The line perpendicular to the line which contains the
points (1,1) and (2,2) has slope |
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(a) | 2 |
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(b) | -2 |
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(c) | -1 |
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(d) | 1 |
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(e) | 0 |
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5. |
Find the equation of the line perpendicular to y = x/3 + 1
through the point (3,2). |
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(a) | y = -x/3 + 3 |
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(b) | y = 3x - 7 |
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(c) | y = x/3 + 7 |
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(d) | y = - 3x + 11 |
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(e) | y = x/3 +1 |
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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 - 18 |
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(c) | 36 pi |
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(d) | 36 |
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(e) | 9pi - 9 |
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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 = 1.1 and x = 2.1 |
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(c) | x = 1 and x = -2 |
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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 = 2 |
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(b) | x = 6 |
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(c) | x = 3 |
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(d) | x2 = 6 |
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(e) | x2 = 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) | It cannot be determined. |
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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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10. |
If f(x)=2x, find f(3). |
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(a) | 2 |
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(b) | 8 |
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(c) | All of the other answers are incorrect. |
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(d) | 9 |
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(e) | 6 |
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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) | log2(x2) log2(y2) |
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(d) | 2log2(x) + 2log2(y) |
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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 |
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(b) | x = 3/5 |
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(c) | x = (4/3)1/2 |
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(d) | x = (3/2)1/2 |
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(e) | x = 5 |
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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) | 9 |
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(d) | 5 |
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(e) | 1 |
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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 is less than or equal to x |
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(b) | The interval [-1,1] |
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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
either x is less than or equal to -1 or
1 is less than or equal to x |
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(e) | The set of all numbers x such that
1 < x |
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15. |
If f(x) = 3x + 3 what is f(f(2))?
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(a) | All of the other answers are incorrect.
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(b) | 30 |
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(c) | 9 |
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(d) | 81 |
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(e) | Not defined. |
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16. |
The inequality x2 - 2x > -1 reduces to |
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(a) | x < -1 |
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(b) | x > 1 |
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(c) | x is not equal to 1 |
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(d) | x < 1 |
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(e) | x > -1 |
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17. |
The inequality x3 < 2x2 -x reduces to |
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(a) | x < 1 |
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(b) | x < 0 or x is not equal to 1 |
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(c) | x < 0 |
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(d) | x > 0 |
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(e) | x > 1 |
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18. |
| The inequality |
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(a) | x < 1 |
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(b) | x > 1 |
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(c) | x is not equal to 1 |
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(d) | x > 0 |
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(e) | x < 0 |
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19. |
If 3x + 4y = 7 and 5x-4y = 1, find x and y. |
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(a) | x = 1 and y = -1 |
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(b) | x = -1 and y = 1 |
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(c) | x = 1 and y = 1 |
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(d) | x = 2 and y = 2 |
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(e) | x = 2 and y = 1 |
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20. |
If 4x - y = 1 and 2x + y = 5, then
3xy is
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(a) | 9 |
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(b) | Cannot be determined |
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(c) | 6 |
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(d) | 0 |
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(e) | 3 |
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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 = 25 |
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(b) | Cannot be determined |
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(c) | y = 30 |
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(d) | y = 20 |
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(e) | y = 0 |
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22. |
The radian measure of an angle of 45 degrees is |
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(a) | 2pi/3 |
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(b) | pi |
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(c) | pi/4 |
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(d) | pi/3 |
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(e) | pi/2 |
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23. |
Which of the following is correct? |
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(a) | sin(.1) < sin(.1)cos(.1) < cos(.1) |
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(b) | cos(.1) < sin(.1) < sin(.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 cos(a) = 0,
then cos(2b) is |
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(a) | 1 |
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(b) | cannot be determined |
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(c) | 2 |
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(d) | 0 |
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(e) | 1/2 |
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