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1. |
If you divide 12ab3 by 4b, the answer is |
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(a) | 0 |
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(b) | ab2 |
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(c) | 3ab2 |
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(d) | ab3 - b |
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(e) | 8b2 |
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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) | All of the other answers are incorrect. |
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(e) | 96a-3b27 |
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3. |
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(a) |
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(b) | 12 |
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(c) |
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(d) |
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| ( |
x+1
x - 3
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| ( |
x2 - 2x - 3
x+1
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(e) | |
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4. |
The area of a right triangle with sides 3, 4, and 5 is
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(a) | 12 |
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(b) | 6 |
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(c) | 10 |
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(d) | 15 |
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(e) | 20 |
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5. |
Find the equation of the line through (-1,1) and (5,2). |
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(a) | x + y = 0 |
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(b) | x - 2y - 1 = 0 |
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(c) | x - y + 2 = 0 |
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(d) | x - 6y + 7 = 0 |
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(e) | x - y - 2 = 0 |
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6. |
The distance from the point (x,y) to the point (2,3)
is twice the distance from the point (x,y) to the point (5,7).
What is the maximum possible distance from (x,y) to (2,3)? |
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(a) | 5 |
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(b) | 15 |
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(c) | 25 |
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(d) | 4 |
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(e) | 10 |
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7. |
If 3x + 6 = 12, what is x? |
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(a) | x = -2 |
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(b) | x = 4 |
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(c) | x = 0 |
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(d) | All of the other answers are incorrect. |
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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 = 6 |
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(b) | x = 3 |
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(c) | x = 6 |
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(d) | x2 = 3 |
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(e) | x = 2 |
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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) | 1 |
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(b) | 3 |
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(c) | It cannot be determined. |
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(d) | 2 |
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(e) | 0 |
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10. |
If log(x) = 4 then log(x2) is |
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(a) | 4 |
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(b) | 1 |
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(c) | 10 |
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(d) | 2 |
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(e) | 8 |
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11. |
log(x) < log(x +1) reduces to |
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(a) | 1 < x |
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(b) | x < 1 |
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(c) | x < x +1 |
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(d) | 0 < x |
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(e) | x < 0 |
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12. |
log(x2 - 2x +1) > log(25) reduces to |
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(a) | x > 6 |
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(b) | x < -4 or 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. |
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) | 1 |
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(b) | 0 |
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(c) | 9 |
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(d) | 4 |
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(e) | 16 |
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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) | All of the other answers are incorrect. |
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(b) | 23 |
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(c) | 7 |
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(d) | 9 |
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(e) | 30 |
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15. |
If f(x)=3x2 + 3,
what is f(f(a))? |
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(a) | 3(3a2 + 3)2 + 3 |
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(b) | 3a2 + 3 |
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(c) | Not defined. |
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(d) | 0 |
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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 > -1 |
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(d) | x is not equal to 1 |
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(e) | x < -1 |
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17. |
The inequality (x - 1)2 > 1 is equivalent to |
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(a) | 0 < x and x < 2 |
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(b) | x < 0 or x > 2 |
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(c) | x > 2 |
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(d) | x < -2 |
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(e) | x < 0 |
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18. |
The expression ( x + 1)(x + 2) > 0
is equivalent to which of the following? |
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(a) | x > -1 |
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(b) | All of the other answers are incorrect. |
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(c) | x < -2 |
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(d) | x < -2 or x > -1 |
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(e) | -1 > x > -2 |
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19. |
If 3x + 4y = 7 and 5x-4y = 1,
then xy is |
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(a) | Cannot be determined |
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(b) | 3 |
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(c) | 2 |
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(d) | 4 |
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(e) | 1 |
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20. |
If x - y = 4
and 4x - y = 1,
then 3xy is |
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(a) | 12 |
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(b) | Cannot be determined |
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(c) | 9 |
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(d) | 15 |
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(e) | 6 |
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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 = 2 |
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(b) | Cannot be determined |
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(c) | x = 0 |
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(d) | x = -1 |
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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) | pi/3 |
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(b) | pi/4 |
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(c) | pi |
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(d) | pi/2 |
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(e) | 2(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) | 2/3 |
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(b) | 3/2 |
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(c) | 2/(31/2) |
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(d) | 1/2 |
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(e) | 31/2/2 |
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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) | 3/5 |
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(b) | 4/5 |
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(c) | 8/5 |
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(d) | 3/8 |
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(e) | 5/8 |
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