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1. |
Factor x2 - 5x + 6. |
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(a) | x2 - 5 x + 6 |
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(b) | (x + 2)(x + 3) |
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(c) | (x - 2)(x + 3) |
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(d) | (x - 2)(x - 3) |
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(e) | (x + 3)(x - 2) |
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2. |
Simplify [a4 - 4a2 +4]1/2 |
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(a) | a2 + 2a + 2 |
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(b) | a2 +2 |
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(c) | |a2 +2| |
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(d) | a2-2 |
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(e) | |a2-2| |
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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. |
A line with slope 4 contains the point (1,1). The line
must also contain the point |
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(a) | (5,2) |
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(b) | (0,0) |
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(c) | (2,4) |
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(d) | (2,5) |
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(e) | (4,2) |
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5. |
What is the slope of a line parallel to 5x - 7y + 2 = 0? |
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(a) | -7 |
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(b) | 2 |
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(c) | 5/7 |
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(d) | 5 |
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(e) | 7/5 |
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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) | 36 pi |
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(c) | 9pi - 18 |
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(d) | 36pi - 36 |
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(e) | 9pi - 9 |
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7. |
If 3x + 6 = 12, what is x? |
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(a) | x = 4 |
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(b) | x = 2 |
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(c) | All of the other answers are incorrect. |
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(d) | x = -2 |
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(e) | x = 0 |
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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) | 4 |
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(b) | -4 |
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(c) | There is no largest value. |
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(d) | -8 |
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(e) | 8 |
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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) | 3 |
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(b) | 2 |
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(c) | 0 |
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(d) | It cannot be determined. |
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(e) | 1 |
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10. |
If f(x) = 2-x, find f(4). |
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(a) | 16 |
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(b) | -1/16 |
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(c) | 1/16 |
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(d) | -16 |
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(e) | 8 |
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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) | 0 |
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(c) | 3 |
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(d) | 2 |
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(e) | 1 |
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12. |
log(x2 - 2x +1) > log(25) reduces to |
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(a) | x < 6 |
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(b) | x > -4 |
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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 f(x) = x2 + 1
and g(x) = 2x - 1, then f(g(2)) = |
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(a) | 26 |
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(b) | 5 |
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(c) | 10 |
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(d) | 11 |
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(e) | 9 |
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14. |
If f(x) = 3x + 3 and g(y) = 2y + 5, what is g(f(2))? |
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(a) | 9 |
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(b) | 23 |
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(c) | 7 |
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(d) | 30 |
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(e) | All of the other answers are incorrect. |
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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) | 13 |
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(b) | 9 |
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(c) | All of the other answers are incorrect. |
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(d) | 20 |
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(e) | 10 |
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16. |
The inequality x3 > y3
reduces to
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(a) | x < 2y |
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(b) | x = y |
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(c) | x < y |
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(d) | x > 2y |
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(e) | x > y |
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17. |
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(a) | All of the other answers are incorrect. |
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(b) | -13 < x < 13 |
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(c) | -12 < x < 13 |
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(d) | -13 < x < 12 |
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(e) | -12 < x < 12 |
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18. |
| Under which of the following conditions does x
satisfy |
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(a) | There are no values of x which satisfy this expression. |
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(b) | x + 2 > 0 |
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(c) | x - 1 > 0 and x + 2 > 0 |
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(d) | All of the other answers are incorrect. |
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(e) | x is not equal to 1 and x + 2 > 0 |
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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 = 3 |
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(b) | x = -1 and y = 5 |
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(c) | x = 0 and y = 3 |
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(d) | x = 4 and y = 1 |
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(e) | x = 0 and y = 6 |
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20. |
If 5x-6y = 4 and 3x + 4y = 10,
then x/y is
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(a) | 3 |
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(b) | 1 |
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(c) | 0 |
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(d) | Cannot be determined |
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(e) | 2 |
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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) | x = 0 |
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(b) | Cannot be determined |
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(c) | x = 1 |
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(d) | x = -1 |
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(e) | x = 2 |
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22. |
The radian measure of an angle of 60 degrees is |
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(a) | pi/4 |
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(b) | pi |
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(c) | pi/2 |
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(d) | 2(pi/3) |
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(e) | pi/3 |
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23. |
Which of the following is correct? |
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(a) | sin(.1) < cos(.1) < sin(.1)cos(.1) |
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(b) | cos(.1) < sin(.1)cos(.1) < sin(.1) |
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(c) | sin(.1)cos(.1) < sin(.1) < cos(.1) |
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(d) | sin(.1) < sin(.1)cos(.1) < cos(.1) |
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(e) | cos(.1) < sin(.1) < sin(.1)cos(.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 |
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(b) | 1/2 |
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(c) | undefined |
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(d) | 0 |
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(e) | 1/4 |
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