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1. |
If you divide 12ab3 by 4b, the answer is |
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(a) | ab2 |
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(b) | ab3 - b |
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(c) | 8b2 |
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(d) | 0 |
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(e) | 3ab2 |
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2. |
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(a) | 48a-13b-27 |
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(b) | 96a-3b27 |
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(c) | 96a-13b27 |
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(d) | All of the other answers are incorrect. |
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(e) | 48a-3b27 |
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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) | |
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(d) | All of the other answers are incorrect. |
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(e) | |
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4. |
The distance from the point (1,2) to the point (2,1) is |
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(a) | 3 |
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(b) | 2 |
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(c) | 31/2 |
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(d) | 21/2
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(e) | 3(21/2) |
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5. |
A triangle has a side of length 3, a side of length 4, and a side
of length x. The possible values of x are |
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(a) | x = 5 |
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(b) | x > 7 |
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(c) | 0 < x |
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(d) | 0 < x < 5 |
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(e) | 1 < x < 7 |
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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 -1 = x -1 |
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(c) | y = 2x +1 |
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(d) | x = 5 |
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(e) | y = -x -1 |
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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 = 3, find the smallest value of y which satisfies
y2x + 3yx2 + 54 = 0. |
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(a) | -6 |
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(b) | 3 |
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(c) | -3 |
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(d) | 0 |
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(e) | There is no smallest value. |
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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 = 0 |
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(c) | x = -3 |
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(d) | x = -1 |
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(e) | x = 1 |
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10. |
163/2 is |
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(a) | 83 |
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(b) | 64 |
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(c) | 128 |
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(d) | 8 |
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(e) | 32 |
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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. |
log(x2 - 2x +1) > log(25) reduces to |
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(a) | x < -4 |
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(b) | x > 6 |
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(c) | x < -4 or x > 6 |
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(d) | x < 6 |
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(e) | x > -4 |
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13. |
If f(x) = x + 5, what is f(3)? |
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(a) | 8 |
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(b) | 9 |
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(c) | 3 |
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(d) | 2 |
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(e) | 5 |
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14. |
The function f(x) =
[x2 -1]1/2 has domain |
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(a) | The set of all numbers x such that
1 is less than or equal to x |
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(b) | The interval [-1,1] |
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(c) | The set of all numbers x such that
either x is less than or equal to -1 or
1 is less than or equal to x |
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(d) | The set of all numbers x such that either
x < -1 or 1 < x
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(e) | The set of all numbers x such that
1 < x |
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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) | 20 |
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(d) | All of the other answers are incorrect. |
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(e) | 13 |
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16. |
The expression -18 < -6x < 12
is equivalent to which of the following? |
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(a) | -2 > x > -3 |
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(b) | All of the other answers are incorrect. |
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(c) | 3 > x > 2 |
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(d) | 3 > x > -2 |
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(e) | 2 > x > -3 |
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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 > 0 |
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(d) | x < 0 |
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(e) | x > 1 |
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18. |
| The inequality |
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(a) | x < 0 |
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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 is not equal to 1 |
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19. |
If 4x - y = 1 and 2x + y = 5,
find x and y. |
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(a) | x = 4 and y = 1 |
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(b) | x = 0 and y = 6 |
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(c) | x = -1 and y = 5 |
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(d) | x = 0 and y = 3 |
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(e) | x = 1 and y = 3 |
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20. |
If 4x - y = 1 and 2x + y = 5, then
3xy is
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(a) | 6 |
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(b) | Cannot be determined |
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(c) | 0 |
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(d) | 3 |
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(e) | 9 |
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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) | Cannot be determined |
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(b) | y = 25 |
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(c) | y = 20 |
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(d) | y = 30 |
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(e) | y = 0 |
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22. |
The radian measure of an angle of 60 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) | 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) | 3/2 |
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(b) | 1/2 |
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(c) | 2/3 |
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(d) | 2/(31/2) |
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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) | 4/5 |
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(b) | 8/5 |
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(c) | 5/8 |
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(d) | 3/8 |
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(e) | 3/5 |
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