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1. |
The equation, 4x2 - 6x + 10 = 0, has |
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(a) | one real solution |
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(b) | two real solutions |
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(c) | no real solutions |
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(d) | four real solutions |
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(e) | three real solutions |
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2. |
Find the product (2x+y)(y-3x). |
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(a) | All of the other answers are incorrect. |
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(b) | -6x2 + y2 - xy |
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(c) | 6x2 + y2 - xy |
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(d) | -6x2 + y2 |
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(e) | -xy |
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3. |
| Evaluate |
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( |
1
x
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+ 3 ) ( 5 + |
2
x2
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(a) | |
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(b) | All of the other answers are incorrect. |
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(c) | |
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(d) | |
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(e) | |
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4. |
The set of points (x,y) such that
x2 + y2 = 9
is |
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(a) | a circle of radius 3 centered at (0,0) |
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(b) | a parabola |
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(c) | a circle of radius 9 centered at (0,0) |
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(d) | an hyperbola |
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(e) | a circle of radius 3 centered at (1,1) |
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5. |
The set of points (x,y) such that
x2 -2x + y2 = 8
is |
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(a) | a circle of radius 3 centered at (0,1) |
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(b) | a circle of radius 81/2 centered at (1,0) |
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(c) | a circle of radius 3 centered at (1,0) |
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(d) | a circle of radius 81/2 centered at (0,0) |
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(e) | a circle of radius 3 centered at (0,0) |
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6. |
The line containing the points (1,1) and (1,-1) is perpendicular
to the line
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(a) | x = 5 |
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(b) | y = -x -1 |
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(c) | y = 5 |
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(d) | y -1 = x -1 |
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(e) | y = 2x +1 |
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7. |
If 2(2x-3) + 5(x + 1) = 6x-7, what is x? |
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(a) | x = 2 |
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(b) | x = -2 |
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(c) | x = 8 |
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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) | -4 |
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(b) | 4 |
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(c) | -8 |
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(d) | There is no largest value. |
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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) | It cannot be determined. |
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(c) | 1 |
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(d) | 0 |
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(e) | 2 |
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10. |
If f(x) = 2-x, find f(4). |
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(a) | -1/16 |
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(b) | 16 |
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(c) | -16 |
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(d) | 8 |
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(e) | 1/16 |
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11. |
log2(x2 y2) is equal to which of the following? |
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(a) | All of the other answers are incorrect. |
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(b) | 2log2(x) + 2log2(y) |
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(c) | log2(x2) log2(y2) |
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(d) | [log2(x)]2 + [log2(y)]2 |
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(e) | log2(x) + log2(y) |
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12. |
Which of the following values of x satisfies
log2(3x) + log2(2x) = 3? |
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(a) | x = 5 |
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(b) | x = (4/3)1/2 |
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(c) | x = 4 |
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(d) | x = 3/5 |
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(e) | x = (3/2)1/2 |
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13. |
The function f(x) = x2
has range |
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(a) | The set of all numbers x such that x is less than or equal to 0 |
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(b) | The set of all numbers x such that x is less than or equal to 1 |
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(c) | The set of all numbers x such that x
is greater than or equal to 0 |
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(d) | The set of all numbers |
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(e) | The set of all numbers x such that x is greater than or equal to 1 |
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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) | 30 |
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(b) | 7 |
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(c) | 23 |
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(d) | All of the other answers are incorrect. |
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(e) | 9 |
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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) | 20 |
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(c) | 9 |
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(d) | All of the other answers are incorrect. |
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(e) | 10 |
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16. |
The inequality |x -1| < |2 -x| is equivalent to |
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(a) | x < 1/2 |
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(b) | x < 2 |
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(c) | x < 3/2 |
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(d) | 1 < x |
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(e) | 1 < x < 2 |
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17. |
| The expression -1 < |
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< 1 is satisfied by |
what values of x? |
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(a) | All values of x satisfy this expression. |
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(b) | -1 < x < 1 |
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(c) | x not equal to 0 |
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(d) | All of the other answers are incorrect. |
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(e) | There are no values of x which satisfy this expression. |
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18. |
| Under which of the following conditions does x
satisfy |
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(a) | x + 2 > 0 |
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(b) | x - 1 > 0 and x + 2 > 0 |
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(c) | x is not equal to 1 and x + 2 > 0 |
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(d) | All of the other answers are incorrect. |
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(e) | There are no values of x which satisfy this expression. |
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19. |
If 3x + 4y = 7 and 5x-4y = 1,
then xy is |
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(a) | Cannot be determined |
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(b) | 2 |
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(c) | 3 |
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(d) | 4 |
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(e) | 1 |
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20. |
If x - y = 4
and 4x - y = 1,
then 3xy is |
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(a) | 6 |
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(b) | Cannot be determined |
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(c) | 12 |
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(d) | 9 |
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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) | Cannot be determined |
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(b) | y = 25 |
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(c) | y = 30 |
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(d) | y = 0 |
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(e) | y = 20 |
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22. |
The radian measure of an angle of 60 degrees is |
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(a) | pi/3 |
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(b) | 2(pi/3) |
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(c) | pi/2 |
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(d) | pi/4 |
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(e) | pi |
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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) | 2/(31/2) |
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(b) | 31/2/2 |
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(c) | 2/3 |
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(d) | 3/2 |
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(e) | 1/2 |
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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) | 1/4 |
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(c) | 0 |
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(d) | undefined |
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(e) | 1/2 |
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