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1. |
If you divide 12ab3 by 4b, the answer is |
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(a) | 3ab2 |
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(b) | 0 |
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(c) | 8b2 |
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(d) | ab2 |
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(e) | ab3 - b |
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2. |
Simplify [a4 - 4a2 +4]1/2 |
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(a) | |a2 +2| |
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(b) | a2 +2 |
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(c) | |a2-2| |
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(d) | a2 + 2a + 2 |
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(e) | a2-2 |
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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) | All of the other answers are incorrect. |
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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) | positive slope |
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(b) | slope 0 |
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(c) | negative slope |
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(d) | undefined slope |
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(e) | All of the other answers are incorrect. |
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5. |
The set of points (x,y) such that
x2 -2x + y2 -6y = 6
is a circle of radius |
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(a) | 5 |
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(b) | 51/2 |
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(c) | 61/2 |
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(d) | 4 |
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(e) | 6 |
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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) | for all values of m |
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(b) | if and only if m > 0 |
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(c) | for no values of m |
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(d) | if and only if m < 0 |
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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 = -2 |
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(b) | x = 8 |
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(c) | x = 4 |
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(d) | x = -4 |
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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) | x = 2 |
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(c) | x = 3 |
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(d) | x2 = 6 |
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(e) | x = 6 |
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9. |
How many real solutions for x are there to the equation
x2 + 3x + 8 = 0? |
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(a) | 2 |
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(b) | 3 |
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(c) | 1 |
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(d) | It cannot be determined. |
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(e) | 0 |
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10. |
If f(x) = 2-x, find f(4). |
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(a) | -16 |
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(b) | 8 |
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(c) | -1/16 |
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(d) | 16 |
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(e) | 1/16 |
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11. |
log2(x2 y2) is equal to which of the following? |
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(a) | All of the other answers are incorrect. |
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(b) | [log2(x)]2 + [log2(y)]2 |
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(c) | 2log2(x) + 2log2(y) |
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(d) | log2(x2) log2(y2) |
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(e) | log2(x) + log2(y) |
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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. |
The function f(x) = x2
has range |
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(a) | The set of all numbers |
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(b) | The set of all numbers x such that x is less than or equal to 0 |
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(c) | The set of all numbers x such that x is greater than or equal to 1 |
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(d) | The set of all numbers x such that x
is greater than or equal to 0 |
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(e) | The set of all numbers x such that x is less than or equal to 1 |
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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) | 0 |
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(b) | 10 |
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(c) | 9 |
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(d) | 4 |
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(e) | 16 |
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15. |
If f(x) = 3x + 3 what is f(f(2))?
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(a) | 81 |
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(b) | All of the other answers are incorrect.
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(c) | 30 |
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(d) | Not defined. |
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(e) | 9 |
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16. |
| The expression |
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(a) | -4 < x < 12 |
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(b) | -36 < 3x < 92 |
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(c) | -12 < x < 31 |
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(d) | All of the other answers are incorrect. |
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(e) | -4 < x < 93 |
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17. |
The inequality x3 < 2x2 -x reduces to |
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(a) | x < 1 |
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(b) | x < 0 or x is not equal to 1 |
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(c) | x > 1 |
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(d) | x > 0 |
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(e) | x < 0 |
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18. |
[x2 - 6x + 9]1/2 <
| x - 1 | reduces to |
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(a) | x < 3 |
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(b) | x < 1 |
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(c) | x < 2 |
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(d) | x > 2 |
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(e) | x > 3 |
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19. |
If 3x + 4y = 7 and 5x-4y = 1,
then xy is |
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(a) | 2 |
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(b) | 3 |
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(c) | 4 |
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(d) | 1 |
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(e) | Cannot be determined |
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20. |
If 4x - y = 1 and 2x + y = 5, then
3xy is
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(a) | 3 |
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(b) | 6 |
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(c) | 9 |
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(d) | Cannot be determined |
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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 = 30 |
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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 = 20 |
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22. |
The radian measure of an angle of 45 degrees is |
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(a) | pi/4 |
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(b) | pi |
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(c) | pi/3 |
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(d) | pi/2 |
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(e) | 2pi/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) | 2/(31/2) |
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(b) | 2/3 |
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(c) | 3/2 |
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(d) | 31/2/2 |
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(e) | 1/2 |
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24. |
Two lines each contain the point (0,0). One line
has slope 3 and the other line has slope 5. The
tangent of the angle interior to the lines is |
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(a) | 1 |
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(b) | 0 |
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(c) | 8 |
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(d) | 2 |
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(e) | 1/8 |
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