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1. |
The remainder of dividing the polynomial
x3-x2+x-1
by x-1 is
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(a) | 0 |
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(b) | 1 |
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(c) | x |
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(d) | 2 |
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(e) | 3 |
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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. |
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(a) | 12 |
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(b) |
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(c) |
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| ( |
x+1
x - 3
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| ( |
x2 - 2x - 3
x+1
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(d) |
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(e) | |
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4. |
| The graph |  |
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following equations for on the interval [-1.5,1.5]?
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(a) | y = x2 |
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(b) | y = x3 |
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(c) | y = x |
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(d) | y = x1/2 |
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(e) | y2 + x2 = 1 |
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5. |
The line perpendicular to the line x = 5
has slope |
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(a) | -1 |
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(b) | 1 |
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(c) | 0 |
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(d) | -2 |
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(e) | 2 |
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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) | y -1 = x -1 |
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(b) | x = 5 |
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(c) | y = 2x +1 |
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(d) | y = -x -1 |
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(e) | y = 5 |
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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 and x = 2 |
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(d) | x = -1 and x = -2 |
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(e) | x = 1.1 and x = 2.1 |
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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) | -6 |
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(b) | -3 |
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(c) | There is no smallest value. |
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(d) | 3 |
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(e) | 0 |
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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 = -1 |
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(c) | x = 0 |
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(d) | x = -2 |
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(e) | x = -3 |
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10. |
Simplify (x/2x3)(y2/y). |
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(a) | (1/2)x-2 + y |
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(b) | (1/2)x - 2 y |
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(c) | (x y2)/(2x3y) |
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(d) | (x/2)-2 y |
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(e) | 2x-2y - 1 |
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11. |
Which of the following values of x satisfies
log2(x) - log2(x+1) = -1?
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(a) | x = 2 |
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(b) | x = 3 |
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(c) | x = 1/3 |
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(d) | x = -1/3 |
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(e) | x = 1 |
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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 = (4/3)1/2 |
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(c) | x = (3/2)1/2 |
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(d) | x = 3/5 |
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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) | 11 |
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(b) | 1 |
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(c) | 9 |
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(d) | 0 |
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(e) | 5 |
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14. |
If f(x) = 3x + 3 and g(y) = 2y + 5,
what is f(g(2))? |
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(a) | 7 |
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(b) | 3 |
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(c) | 9 |
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(d) | 23 |
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(e) | 30 |
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15. |
If f(x) = 3x + 3 what is f(f(2))?
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(a) | 9 |
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(b) | Not defined. |
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(c) | 30 |
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(d) | All of the other answers are incorrect.
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(e) | 81 |
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16. |
Let a = -3, b = 5, and c = -1. Evaluate
|a - b| - (c - a) |
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(a) | 6 |
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(b) | 8 |
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(c) | 10 |
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(d) | -2 |
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(e) | 11 |
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17. |
The inequality x3 < 2x2 -x reduces to |
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(a) | x > 0 |
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(b) | x < 1 |
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(c) | x > 1 |
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(d) | x < 0 |
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(e) | x < 0 or x is not equal to 1 |
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18. |
| Under which of the following conditions does x
satisfy |
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(a) | All of the other answers are incorrect. |
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(b) | x is not equal to 1 and x + 2 > 0 |
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(c) | x + 2 > 0 |
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(d) | x - 1 > 0 and x + 2 > 0 |
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(e) | There are no values of x which satisfy this expression. |
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19. |
If 4x - y = 1 and 2x + y = 5,
find x and y. |
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(a) | x = 0 and y = 3 |
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(b) | x = 1 and y = 3 |
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(c) | x = 0 and y = 6 |
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(d) | x = 4 and y = 1 |
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(e) | x = -1 and y = 5 |
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20. |
If y + 4x - 18 = 0 and y2 = x, then there is a solution with y given by |
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(a) | y = 0 |
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(b) | y = 2 |
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(c) | y = 9/4 |
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(d) | y = 1 |
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(e) | Cannot be determined
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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 = 0 |
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(b) | y = 25 |
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(c) | y = 20 |
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(d) | Cannot be determined |
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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) | pi/2 |
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(b) | pi/3 |
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(c) | 2pi/3 |
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(d) | pi |
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(e) | pi/4 |
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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) | 1/2 |
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(b) | 2/3 |
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(c) | 31/2/2 |
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(d) | 3/2 |
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(e) | 2/(31/2) |
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24. |
If sin(a + b) = 1 and cos(a) = 0,
then cos(2b) is |
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(a) | 0 |
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(b) | 2 |
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(c) | cannot be determined |
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(d) | 1/2 |
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(e) | 1 |
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