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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) | ab2 |
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(c) | ab3 - b |
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(d) | 8b2 |
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(e) | 0 |
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2. |
| Simplify |
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(x3 + 2x2 + 2x + 1)
(x + 1)
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(a) | x2 + 1 |
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(b) | x2 - 2x + 1 |
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(c) | x2 + 2x + 1 |
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(d) | x2 + x + 1 |
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(e) | x2 - x + 1 |
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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) | |
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(e) | All of the other answers are incorrect. |
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4. |
A line with slope 4 contains the point (1,1). The line
must also contain the point |
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(a) | (2,4) |
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(b) | (0,0) |
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(c) | (5,2) |
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(d) | (2,5) |
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(e) | (4,2) |
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5. |
Find the equation of the line through (-1,1) and (5,2). |
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(a) | x - y - 2 = 0 |
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(b) | x - 2y - 1 = 0 |
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(c) | x + y = 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 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) | for no values of m |
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(c) | if and only if m is not equal to 0 |
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(d) | if and only if m < 0 |
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(e) | if and only if m > 0 |
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7. |
If 3x + 6 = 12, what is x? |
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(a) | All of the other answers are incorrect. |
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(b) | x = 0 |
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(c) | x = 4 |
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(d) | x = 2 |
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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 = 3 |
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(c) | x2 = 6 |
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(d) | x = 6 |
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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) | 2 |
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(b) | 3 |
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(c) | It cannot be determined. |
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(d) | 0 |
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(e) | 1 |
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10. |
163/2 is |
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(a) | 64 |
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(b) | 83 |
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(c) | 128 |
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(d) | 32 |
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(e) | 8 |
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11. |
Which of the following values of x satisfies
log2(x) - log2(x+1) = -1?
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(a) | x = 3 |
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(b) | x = 1 |
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(c) | x = 1/3 |
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(d) | x = 2 |
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(e) | x = -1/3 |
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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) | 3 |
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(b) | 8 |
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(c) | 9 |
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(d) | 5 |
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(e) | 2 |
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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) | 30 |
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(b) | 7 |
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(c) | 23 |
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(d) | 9 |
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(e) | All of the other answers are incorrect. |
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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) | 0 |
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(c) | 3a2 + 3 |
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(d) | All of the other answers are incorrect. |
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(e) | Not defined. |
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16. |
The inequality |x -1| < |2 -x| is equivalent to |
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(a) | x < 3/2 |
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(b) | x < 2 |
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(c) | 1 < x < 2 |
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(d) | 1 < x |
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(e) | x < 1/2 |
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17. |
| The expression -1 < |
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< 1 is satisfied by |
what values of x? |
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(a) | All of the other answers are incorrect. |
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(b) | There are no values of x which satisfy this expression. |
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(c) | -1 < x < 1 |
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(d) | x not equal to 0 |
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(e) | All values of x satisfy this expression. |
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18. |
| The inequality |
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(a) | x < 1 |
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(b) | x < 0 |
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(c) | x is not equal to 1 |
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(d) | x > 0 |
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(e) | 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 = 6 |
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(b) | x = 4 and y = 1 |
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(c) | x = 1 and y = 3 |
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(d) | x = 0 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) | 1 |
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(b) | Cannot be determined |
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(c) | 3 |
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(d) | 0 |
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(e) | 2 |
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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 = 20 |
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(b) | Cannot be determined |
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(c) | y = 0 |
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(d) | y = 30 |
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(e) | y = 25 |
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22. |
A right triangle has sides of length 3, 4, and 5. What is the
cosine of its smallest angle? |
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(a) | 4/5 |
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(b) | 3/5 |
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(c) | 3/4 |
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(d) | 5/3 |
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(e) | 4/3 |
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23. |
Which of the following is correct? |
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(a) | sin(.1) < cos(.1) < sin(.1)cos(.1) |
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(b) | sin(.1) < sin(.1)cos(.1) < cos(.1) |
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(c) | cos(.1) < sin(.1)cos(.1) < sin(.1) |
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(d) | sin(.1)cos(.1) < sin(.1) < cos(.1) |
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(e) | cos(.1) < sin(.1) < sin(.1)cos(.1) |
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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) | 2 |
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(b) | 1/8 |
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(c) | 0 |
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(d) | 1 |
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(e) | 8 |
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