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1. |
The remainder of dividing the polynomial
x3-x2+x-1
by x-1 is
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(a) | 3 |
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(b) | x |
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(c) | 2 |
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(d) | 0 |
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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 - x + 1 |
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(e) | x2 - 2x + 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 graph |  |
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following equations for on the interval [-1.5,1.5]?
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(a) | y2 + x2 = 1 |
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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) | y = x2 |
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5. |
A triangle has a side of length 3, a side of length 4, and a side
of length x. The possible values of x are |
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(a) | 0 < x |
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(b) | x = 5 |
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(c) | 1 < x < 7 |
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(d) | 0 < x < 5 |
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(e) | x > 7 |
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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) | if and only if m < 0 |
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(d) | for no values of m |
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(e) | if and only if m is not equal to 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 = -4 |
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(d) | x = -2 |
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(e) | x = 4 |
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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 = 2 |
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(b) | x2 = 3 |
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(c) | x = 6 |
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(d) | x = 3 |
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(e) | x2 = 6 |
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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 = 1 |
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(d) | x = -2 |
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(e) | x = 0 |
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10. |
Simplify (x/2x3)(y2/y). |
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(a) | (x y2)/(2x3y) |
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(b) | (x/2)-2 y |
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(c) | (1/2)x - 2 y |
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(d) | 2x-2y - 1 |
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(e) | (1/2)x-2 + y |
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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)]2 + [log2(y)]2 |
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(d) | log2(x) + log2(y) |
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(e) | log2(x2) log2(y2) |
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12. |
Which of the following values of x satisfies
log2(3x) + log2(2x) = 3? |
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(a) | x = (3/2)1/2 |
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(b) | x = 3/5 |
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(c) | x = (4/3)1/2 |
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(d) | x = 4 |
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(e) | x = 5 |
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13. |
If f(x) = x2 + 1
and g(x) = 2x - 1, then f(g(2)) = |
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(a) | 10 |
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(b) | 11 |
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(c) | 5 |
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(d) | 9 |
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(e) | 26 |
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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) | 25 |
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(d) | 23 |
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(e) | 9 |
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15. |
If f(x)=3x2 + 3,
what is f(f(a))? |
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(a) | All of the other answers are incorrect. |
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(b) | 3(3a2 + 3)2 + 3 |
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(c) | 3a2 + 3 |
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(d) | 0 |
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(e) | Not defined. |
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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 is not equal to 1 |
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(c) | x > -1 |
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(d) | x < -1 |
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(e) | x < 1 |
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17. |
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(a) | -13 < x < 13 |
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(b) | -13 < x < 12 |
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(c) | -12 < x < 12 |
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(d) | -12 < x < 13 |
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(e) | All of the other answers are incorrect. |
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18. |
| Under which of the following conditions does x
satisfy |
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(a) | x is not equal to 1 and x + 2 > 0 |
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(b) | There are no values of x which satisfy this expression. |
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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) | All of the other answers are incorrect. |
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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 = -2 |
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(c) | x = -2 and y = -1 |
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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 4x - y = 1 and 2x + y = 5, then
3xy is
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(a) | Cannot be determined |
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(b) | 3 |
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(c) | 6 |
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(d) | 0 |
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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) | y = 30 |
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(b) | y = 20 |
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(c) | Cannot be determined |
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(d) | y = 0 |
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(e) | y = 25 |
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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) | pi/2 |
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(c) | 1/(4pi) |
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(d) | 2 |
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(e) | 1/2 |
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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) | 2/3 |
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(c) | 31/2/2 |
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(d) | 1/2 |
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(e) | 2/(31/2) |
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24. |
If sin(a + b) = 1 and
tan(a) = 0,
then tan(b) is |
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(a) | 1/4 |
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(b) | 1/2 |
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(c) | 1 |
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(d) | undefined |
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(e) | 0 |
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