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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 + 3)(x - 2) |
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(e) | (x + 2)(x + 3) |
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2. |
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(a) | 96a-13b27 |
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(b) | 96a-3b27 |
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(c) | 48a-13b-27 |
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(d) | 48a-3b27 |
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(e) | All of the other answers are incorrect. |
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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) | All of the other answers are incorrect. |
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(b) | |
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(c) | |
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(d) | |
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(e) | |
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4. |
The distance from the point (1,2) to the point (2,1) is |
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(a) | 2 |
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(b) | 21/2
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(c) | 31/2 |
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(d) | 3 |
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(e) | 3(21/2) |
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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 > 0 |
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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 = 2 |
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6. |
The circle with equation
x2 + y2 - 2y = 0
intersects the line y = mx in two distinct points |
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(a) | if and only if m > 0 |
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(b) | for all values of m |
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(c) | for no values of m |
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(d) | if and only if m is not equal to 0 |
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(e) | if and only if m < 0 |
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7. |
If 2(2x-3) + 5(x + 1) = 6x-7, what is x? |
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(a) | x = 8 |
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(b) | x = -2 |
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(c) | x = 2 |
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(d) | x = -4 |
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(e) | x = 4 |
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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) | -8 |
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(b) | 8 |
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(c) | There is no largest value. |
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(d) | -4 |
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(e) | 4 |
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9. |
Find the largest solution of
x3 + 4x2 + 3x = 0. |
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(a) | x = 1 |
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(b) | x = -3 |
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(c) | x = -2 |
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(d) | x = 0 |
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(e) | x = -1 |
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10. |
log(3/2) equals |
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(a) | 3 log(1/2) |
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(b) | log(2) + log(3) |
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(c) | (1/2)log(3) |
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(d) | log(2) - log(3) |
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(e) | log(3) - log(2) |
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11. |
log(x) < log(2) reduces to |
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(a) | x is not equal to 2 |
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(b) | 10 < x |
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(c) | 0 < x < 2 |
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(d) | x < 10 |
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(e) | x < 2 |
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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 < -4 |
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(c) | x < -4 or x > 6 |
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(d) | x < 6 |
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(e) | x > 6 |
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13. |
If f(x) = x + 5, what is f(3)? |
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(a) | 8 |
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(b) | 2 |
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(c) | 9 |
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(d) | 5 |
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(e) | 3 |
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14. |
If f(x) = 3x + 3 and g(y) = 2(y + 1) + 5, what is g(f(2))? |
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(a) | 11 |
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(b) | All of the other answers are incorrect. |
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(c) | 9 |
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(d) | 23 |
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(e) | 25 |
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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) | All of the other answers are incorrect. |
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(c) | 20 |
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(d) | 9 |
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(e) | 10 |
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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) | 6 |
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(c) | 8 |
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(d) | 11 |
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(e) | 10 |
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17. |
The expression | 5x-2 | > 1 is equivalent to which of the following? |
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(a) | x < -1/5 |
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(b) | x < 1/5 and x > 3/5 |
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(c) | x < -1/5 or x > 3/5 |
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(d) | There are no values of x which satisfy this expression. |
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(e) | x < 1/5 or x > 3/5 |
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18. |
[x2 - 6x + 9]1/2 <
| x - 1 | reduces to |
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(a) | x < 3 |
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(b) | x < 2 |
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(c) | x < 1 |
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(d) | x > 3 |
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(e) | x > 2 |
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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 = 4 and y = 1 |
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(c) | x = 2 and y = 1 |
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(d) | x = 2 and y = -2 |
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(e) | x = -2 and y = 2 |
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20. |
If 4x - y = 1 and 2x + y = 5, then
3xy is
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(a) | 3 |
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(b) | 6 |
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(c) | 0 |
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(d) | Cannot be determined |
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(e) | 9 |
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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 = 25 |
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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) | pi/3 |
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(b) | pi/2 |
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(c) | 2pi/3 |
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(d) | pi/4 |
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(e) | pi |
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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) | sin(.1) < cos(.1) < sin(.1)cos(.1) |
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(c) | sin(.1) < sin(.1)cos(.1) < cos(.1) |
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(d) | cos(.1) < sin(.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) | 0 |
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(b) | 1/4 |
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(c) | 1 |
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(d) | 1/2 |
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(e) | undefined |
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