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1. |
If you divide 12ab3 by 4b, the answer is |
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(a) | ab3 - b |
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(b) | 3ab2 |
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(c) | 8b2 |
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(d) | 0 |
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(e) | ab2 |
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2. |
Find the product (2x+y)(y-3x). |
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(a) | -6x2 + y2 - xy |
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(b) | -6x2 + y2 |
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(c) | -xy |
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(d) | 6x2 + y2 - xy |
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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) | |
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(b) | |
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(c) | All of the other answers are incorrect. |
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(d) | |
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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) | a circle of radius 9 centered at (0,0) |
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(b) | a parabola |
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(c) | a circle of radius 3 centered at (1,1) |
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(d) | an hyperbola |
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(e) | a circle of radius 3 centered at (0,0) |
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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 = 3x - 7 |
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(b) | y = x/3 +1 |
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(c) | y = -x/3 + 3 |
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(d) | y = x/3 + 7 |
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(e) | y = - 3x + 11 |
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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 = 5 |
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(b) | y = 2x +1 |
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(c) | y -1 = x -1 |
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(d) | y = -x -1 |
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(e) | x = 5 |
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7. |
If 3x + 6 = 12, what is x? |
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(a) | x = 4 |
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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) | All of the other answers are incorrect. |
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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) | 0 |
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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) | -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 = -3 |
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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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10. |
If f(x) = 2-x, find f(4). |
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(a) | -1/16 |
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(b) | -16 |
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(c) | 1/16 |
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(d) | 16 |
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(e) | 8 |
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11. |
log(x) < log(x +1) reduces to |
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(a) | x < 1 |
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(b) | x < x +1 |
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(c) | x < 0 |
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(d) | 1 < x |
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(e) | 0 < x |
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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 = 5 |
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(c) | x = 3/5 |
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(d) | x = 4 |
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(e) | x = (4/3)1/2 |
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13. |
If g(x) = 5x + 2, what is g(2)?
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(a) | 10 |
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(b) | 14 |
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(c) | 16 |
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(d) | 12 |
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(e) | 11 |
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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) | 4 |
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(d) | 0 |
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(e) | 10 |
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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) | 20 |
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(b) | 10 |
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(c) | 13 |
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(d) | 9 |
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(e) | All of the other answers are incorrect. |
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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 < -1 |
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(c) | x is not equal to 1 |
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(d) | x > -1 |
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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) | x < 1/5 and x > 3/5 |
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(b) | There are no values of x which satisfy this expression. |
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(c) | x < -1/5 or x > 3/5 |
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(d) | x < 1/5 or x > 3/5 |
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(e) | x < -1/5 |
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18. |
| Under which of the following conditions does x
satisfy |
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(a) | x - 1 > 0 and x + 2 > 0 |
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(b) | x + 2 > 0 |
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(c) | x is not equal to 1 and x + 2 > 0 |
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(d) | There are no values of x which satisfy this expression. |
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(e) | All of the other answers are incorrect. |
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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 = 6 |
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(b) | x = 4 and y = 1 |
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(c) | x = 0 and y = 3 |
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(d) | x = -1 and y = 5 |
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(e) | x = 1 and y = 3 |
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20. |
If x - y = 4
and 4x - y = 1,
then 3xy is |
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(a) | 15 |
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(b) | 6 |
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(c) | 12 |
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(d) | Cannot be determined |
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(e) | 9 |
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21. |
If y + 3x + 2 = 0 and y = x2,
then there is a solution with x given by
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(a) | x = 0 |
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(b) | Cannot be determined |
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(c) | x = 1 |
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(d) | x = 2 |
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(e) | x = -1 |
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22. |
The radian measure of an angle of 60 degrees is |
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(a) | 2(pi/3) |
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(b) | pi/4 |
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(c) | pi/2 |
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(d) | pi |
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(e) | pi/3 |
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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) | 31/2/2 |
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(b) | 1/2 |
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(c) | 3/2 |
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(d) | 2/3 |
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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) | cannot be determined |
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(b) | 1/2 |
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(c) | 1 |
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(d) | 0 |
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(e) | 2 |
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