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1. |
The remainder of dividing the polynomial �
x3-x2+x-1 �
by � x-1 � is
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(a) | 1 |
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(b) | 2 |
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(c) | 0 |
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(d) | 3 |
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(e) | x |
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2. |
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(a) | 96a-13b27 |
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(b) | 48a-13b-27 |
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(c) | 48a-3b27 |
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(d) | 96a-3b27 |
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(e) | All of the other answers are incorrect. |
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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) | All of the other answers are incorrect. |
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(b) | |
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(c) | |
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(d) | |
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(e) | |
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4. |
The line containing the points (1,1) and (1,3) has
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(a) | negative slope |
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(b) | slope 0 |
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(c) | All of the other answers are incorrect. |
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(d) | undefined slope |
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(e) | positive slope |
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5. |
Find the equation of the line perpendicular to y = x/3 + 1
through the point (3,2). |
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(a) | y = x/3 + 7 |
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(b) | y = -x/3 + 3 |
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(c) | y = 3x - 7 |
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(d) | y = x/3 +1 |
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(e) | y = - 3x + 11 |
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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) | for no values of m |
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(d) | if and only if m is not equal to 0 |
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(e) | if and only if m > 0 |
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7. |
If 2(2x-3) + 5(x + 1) = 6x-7, what is x? |
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(a) | x = -4 |
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(b) | x = 4 |
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(c) | x = 2 |
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(d) | x = 8 |
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(e) | x = -2 |
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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) | x2 = 3 |
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(b) | x2 = 6 |
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(c) | x = 3 |
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(d) | x = 2 |
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(e) | x = 6 |
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9. |
Find the largest solution of
x3 + 4x2 + 3x = 0. |
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(a) | x = 0 |
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(b) | x = -3 |
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(c) | x = -2 |
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(d) | x = -1 |
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(e) | x = 1 |
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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. |
log(x) < log(2) reduces to |
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(a) | 0 < x < 2 |
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(b) | x < 10 |
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(c) | 10 < x |
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(d) | x is not equal to 2 |
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(e) | x < 2 |
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12. |
Which of the following values of x satisfies
log2(3x) + log2(2x) = 3? |
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(a) | x = 3/5 |
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(b) | x = (3/2)1/2 |
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(c) | x = (4/3)1/2 |
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(d) | x = 5 |
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(e) | x = 4 |
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13. |
If h(x) = x2,
g(x) = x+1,
and f(x) = x +3,
then what is h(g(f(0)))? |
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(a) | 16 |
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(b) | 9 |
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(c) | 0 |
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(d) | 4 |
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(e) | 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) | 7 |
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(b) | 9 |
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(c) | 23 |
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(d) | All of the other answers are incorrect. |
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(e) | 30 |
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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) | All of the other answers are incorrect. |
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(b) | 10 |
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(c) | 13 |
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(d) | 20 |
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(e) | 9 |
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16. |
The expression 40 < 5x < 80 is equivalent to which of the following? |
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(a) | 8 > x < 16 |
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(b) | 8 < x > 16 |
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(c) | All of the other answers are incorrect. |
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(d) | 35 < x < 75 |
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(e) | 8 < x < 16 |
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17. |
The inequality (x - 1)2 > 1 is equivalent to |
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(a) | x < 0 or x > 2 |
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(b) | x < 0 |
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(c) | x < -2 |
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(d) | x > 2 |
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(e) | 0 < x and x < 2 |
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18. |
| The inequality |
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(a) | x is not equal to 0 |
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(b) | x = 0 |
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(c) | None of the other answers is correct |
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(d) | x < 0 |
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(e) | x > 0 |
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19. |
If 4x - y = 1 and 2x + y = 5,
find x and y. |
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(a) | x = 1 and y = 3 |
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(b) | x = -1 and y = 5 |
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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 = 0 and y = 3 |
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20. |
If 5x-6y = 4 and 3x + 4y = 10,
then x/y is
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(a) | Cannot be determined |
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(b) | 1 |
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(c) | 0 |
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(d) | 3 |
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(e) | 2 |
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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 = 30 |
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(d) | y = 20 |
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(e) | Cannot be determined |
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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) | 1/(4pi) |
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(b) | pi/2 |
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(c) | 1/2 |
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(d) | 2pi |
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(e) | 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) | 2/(31/2) |
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(b) | 3/2 |
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(c) | 31/2/2 |
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(d) | 1/2 |
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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 |
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(b) | 1/2 |
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(c) | undefined |
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(d) | 1/4 |
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(e) | 0 |
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