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1. |
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(a) | |
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(b) | |
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(c) | |
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(d) | |
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(e) | |
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2. |
The remainder of dividing the polynomial
x3 + x2
by x2 +1 is |
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(a) | 0 |
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(b) | 1 |
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(c) | x +1 |
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(d) | -x -1 |
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(e) | x |
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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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(d) | |
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(e) |
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| ( |
x+1
x - 3
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| ( |
x2 - 2x - 3
x+1
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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) | positive slope |
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(c) | All of the other answers are incorrect. |
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(d) | undefined slope |
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(e) | slope 0 |
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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 (0,0) |
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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 (0,1) |
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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. |
Let f(x) = 3x + 2. For which
x is f(x) = -2? |
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(a) | -4/3 |
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(b) | -3/2 |
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(c) | -2/3 |
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(d) | 0 |
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(e) | 4/3 |
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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 = 6 |
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(b) | x2 = 3 |
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(c) | x = 2 |
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(d) | x = 3 |
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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 = -2 |
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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 = -3 |
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10. |
[x2]1/2 reduces to |
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(a) | x |
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(b) | 0 |
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(c) | x2 |
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(d) | 1 |
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(e) | |x| |
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11. |
What is log3(35)? |
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(a) | e |
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(b) | 1/3 |
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(c) | 3e |
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(d) | 5 |
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(e) | 1/5 |
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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 = 4 |
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(c) | x = 5 |
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(d) | x = (3/2)1/2 |
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(e) | x = (4/3)1/2 |
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13. |
If f(x) = x2 + 1
and g(x) = 2x - 1, then f(g(2)) = |
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(a) | 11 |
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(b) | 5 |
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(c) | 26 |
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(d) | 10 |
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(e) | 9 |
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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) | 23 |
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(c) | All of the other answers are incorrect. |
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(d) | 30 |
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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) | 10 |
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(b) | 9 |
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(c) | All of the other answers are incorrect. |
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(d) | 20 |
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(e) | 13 |
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16. |
The inequality x3 > y3
reduces to
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(a) | x = y |
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(b) | x < 2y |
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(c) | x < y |
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(d) | x > 2y |
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(e) | x > y |
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17. |
The expression | 5x-2 | > 1 is equivalent to which of the following? |
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(a) | x < 1/5 or x > 3/5 |
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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) | There are no values of x which satisfy this expression. |
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(e) | x < -1/5 |
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18. |
The expression ( x + 1)(x + 2) > 0
is equivalent to which of the following? |
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(a) | -1 > x > -2 |
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(b) | All of the other answers are incorrect. |
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(c) | x > -1 |
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(d) | x < -2 |
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(e) | x < -2 or x > -1 |
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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 = 0 and y = 6 |
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(c) | x = 4 and y = 1 |
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(d) | x = 1 and y = 3 |
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(e) | x = -1 and y = 5 |
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20. |
If 5x-6y = 4 and 3x + 4y = 10,
then x/y is
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(a) | 0 |
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(b) | 2 |
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(c) | 3 |
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(d) | Cannot be determined |
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(e) | 1 |
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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) | Cannot be determined |
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(c) | y = 30 |
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(d) | y = 20 |
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(e) | y = 25 |
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22. |
The radian measure of an angle of 60 degrees is |
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(a) | pi/2 |
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(b) | pi |
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(c) | pi/3 |
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(d) | pi/4 |
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(e) | 2(pi/3) |
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23. |
Which of the following is correct? |
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(a) | sin(.1) < sin(.1)cos(.1) < cos(.1) |
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(b) | cos(.1) < sin(.1) < sin(.1)cos(.1) |
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(c) | sin(.1)cos(.1) < sin(.1) < cos(.1) |
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(d) | sin(.1) < cos(.1) < sin(.1)cos(.1) |
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(e) | cos(.1) < sin(.1)cos(.1) < sin(.1) |
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24. |
A triangle has sides of length 5, 5 and 8. What is the sine of its
smallest angle? |
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(a) | 4/5 |
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(b) | 5/8 |
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(c) | 3/8 |
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(d) | 8/5 |
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(e) | 3/5 |
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