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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) | 2 |
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(c) | 3 |
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(d) | x |
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(e) | 1 |
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2. |
| Simplify |
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(x3 + 2x2 + 2x + 1)
(x + 1)
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(a) | x2 - x + 1 |
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(b) | x2 + 1 |
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(c) | x2 - 2x + 1 |
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(d) | x2 + 2x + 1 |
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(e) | x2 + x + 1 |
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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) | All of the other answers are incorrect. |
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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) | an hyperbola |
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(b) | a parabola |
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(c) | a circle of radius 3 centered at (0,0) |
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(d) | a circle of radius 3 centered at (1,1) |
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(e) | a circle of radius 9 centered at (0,0) |
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5. |
The set of points (x,y) such that
x2 -4x + y2 -6y = 15
is a circle centered at |
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(a) | (9,4) |
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(b) | (0,0) |
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(c) | (2,3) |
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(d) | (3,2) |
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(e) | (4,9) |
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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) | if and only if m is not equal to 0 |
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(c) | if and only if m > 0 |
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(d) | for no values of m |
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(e) | for all values of m |
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7. |
If 3x + 6 = 12, what is x? |
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(a) | All of the other answers are incorrect. |
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(b) | x = 4 |
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(c) | x = -2 |
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(d) | x = 2 |
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(e) | x = 0 |
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8. |
If x = y and
x2y2 - 5xy + 6 = 0, then
which of the following is possible? |
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(a) | x = 6 |
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(b) | x = 2 |
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(c) | x2 = 6 |
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(d) | x = 3 |
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(e) | x2 = 3 |
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9. |
Find the largest solution of
x3 + 4x2 + 3x = 0. |
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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 = 1 |
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(e) | x = 0 |
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10. |
log(3/2) equals |
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(a) | log(3) - log(2) |
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(b) | (1/2)log(3) |
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(c) | 3 log(1/2) |
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(d) | log(2) - log(3) |
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(e) | log(2) + log(3) |
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11. |
log2(x2 y2) is equal to which of the following? |
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(a) | 2log2(x) + 2log2(y) |
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(b) | All of the other answers are incorrect. |
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(c) | log2(x) + log2(y) |
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(d) | [log2(x)]2 + [log2(y)]2 |
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(e) | log2(x2) log2(y2) |
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12. |
log(x2 - 2x +1) > log(25) reduces to |
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(a) | x < -4 or x > 6 |
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(b) | x < 6 |
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(c) | x > 6 |
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(d) | x > -4 |
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(e) | x < -4 |
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13. |
If f(x) = -5x - 2, what is f(0)? |
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(a) | -3 |
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(b) | 0 |
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(c) | -2 |
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(d) | -1 |
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(e) | -5 |
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14. |
If h(x) = x3, g(x) = x2+1 and f(x) = x +1, then h(g(f(0))) + f(g(h(0))) is: |
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(a) | 9 |
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(b) | 16 |
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(c) | 0 |
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(d) | 10 |
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(e) | 4 |
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15. |
If f(x) = 3x + 3 what is f(f(2))?
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(a) | 30 |
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(b) | 9 |
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(c) | All of the other answers are incorrect.
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(d) | Not defined. |
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(e) | 81 |
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16. |
| The inequality |
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(a) | x < 0 |
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(b) | x > 0 |
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(c) | x > 1 |
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(d) | x = 0 |
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(e) | x < 1 |
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17. |
The expression | 5x-2 | > 1 is equivalent to which of the following? |
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(a) | There are no values of x which satisfy this expression. |
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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) | x < -1/5 |
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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 < 1 |
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(b) | x > 3 |
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(c) | x < 3 |
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(d) | x < 2 |
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(e) | x > 2 |
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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) | 1 |
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(c) | 2 |
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(d) | 4 |
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(e) | 3 |
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20. |
If 5x-6y = 4 and 3x + 4y = 10,
then x/y is
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(a) | 2 |
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(b) | Cannot be determined |
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(c) | 1 |
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(d) | 3 |
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(e) | 0 |
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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 = 20 |
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(b) | y = 25 |
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(c) | Cannot be determined |
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(d) | y = 0 |
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(e) | y = 30 |
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22. |
If a circle has radius 2, then what is the radian measure of
an angle whose vertex is at the center of circle and which cuts an
arc of length 1 along the circle? |
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(a) | 2pi |
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(b) | 2 |
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(c) | pi/2 |
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(d) | 1/2 |
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(e) | 1/(4pi) |
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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) | 3/2 |
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(b) | 1/2 |
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(c) | 31/2/2 |
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(d) | 2/(31/2) |
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(e) | 2/3 |
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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) | undefined |
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(c) | 1 |
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(d) | 0 |
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(e) | 1/4 |
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