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1. |
The equation, 4x2 - 6x + 10 = 0, has |
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(a) | four real solutions |
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(b) | one real solution |
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(c) | two real solutions |
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(d) | three real solutions |
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(e) | no real solutions |
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2. |
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(a) | All of the other answers are incorrect. |
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(b) | 96a-3b27 |
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(c) | 96a-13b27 |
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(d) | 48a-13b-27 |
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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) | |
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(d) | |
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(e) | All of the other answers are incorrect. |
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4. |
Find the midpoint of the line segment between (-2,1) and (4,5). |
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(a) | (-1,1) |
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(b) | (3,-1) |
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(c) | (3,3) |
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(d) | (3,1) |
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(e) | (1,3) |
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5. |
Which of the following points is closer to the point
(1,1) than the point (2,2) is to (1,1)? |
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(a) | (1, 5/2) |
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(b) | (0,1) |
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(c) | (2,0) |
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(d) | (0,2) |
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(e) | (0,0) |
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6. |
How many points are in the intersection of
y = x2 + 3x + 1
and y = 2x + 5? |
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(a) | 3 |
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(b) | 1 |
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(c) | 2 |
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(d) | infinitely many |
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(e) | 0 |
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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 = 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) | 0 |
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(c) | -6 |
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(d) | 3 |
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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) | It cannot be determined. |
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(c) | 3 |
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(d) | 2 |
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(e) | 0 |
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10. |
If f(x)=2x, find f(3). |
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(a) | All of the other answers are incorrect. |
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(b) | 8 |
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(c) | 2 |
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(d) | 9 |
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(e) | 6 |
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11. |
log(x) < log(x +1) reduces to |
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(a) | x < 1 |
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(b) | 1 < x |
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(c) | x < 0 |
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(d) | x < x +1 |
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(e) | 0 < x |
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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 or x > 6 |
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(c) | x > -4 |
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(d) | x < 6 |
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(e) | x < -4 |
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13. |
If g(x) = 5x + 2, what is g(2)?
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(a) | 10 |
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(b) | 14 |
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(c) | 12 |
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(d) | 16 |
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(e) | 11 |
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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) | 9 |
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(b) | 23 |
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(c) | 25 |
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(d) | All of the other answers are incorrect. |
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(e) | 11 |
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15. |
If f(x)=3x2 + 3,
what is f(f(a))? |
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(a) | 3(3a2 + 3)2 + 3 |
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(b) | Not defined. |
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(c) | 3a2 + 3 |
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(d) | 0 |
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(e) | All of the other answers are incorrect. |
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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 > 1 |
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(d) | x is not equal to 1 |
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(e) | x < 1 |
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17. |
| The inequality |
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(a) | x > 1 |
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(b) | x is not equal to 0 |
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(c) | x > 0 |
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(d) | x < 1 |
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(e) | x < 0 |
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18. |
[x2 - 6x + 9]1/2 <
| x - 1 | reduces to |
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(a) | x > 2 |
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(b) | x < 1 |
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(c) | x < 3 |
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(d) | x < 2 |
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(e) | x > 3 |
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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 = -2 |
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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 = -1 |
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(e) | x = 4 and y = 1 |
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20. |
If x - y = 4
and 4x - y = 1,
then 3xy is |
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(a) | Cannot be determined |
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(b) | 9 |
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(c) | 12 |
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(d) | 6 |
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(e) | 15 |
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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 = 0 |
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(d) | y = 20 |
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(e) | y = 30 |
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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/2 |
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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) < sin(.1)cos(.1) |
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(c) | cos(.1) < sin(.1)cos(.1) < sin(.1) |
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(d) | sin(.1) < sin(.1)cos(.1) < cos(.1) |
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(e) | sin(.1) < cos(.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) | 1/2 |
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(b) | 1/4 |
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(c) | 1 |
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(d) | undefined |
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(e) | 0 |
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