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1. |
Factor x2 - 5x + 6. |
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(a) | (x + 3)(x - 2) |
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(b) | (x - 2)(x - 3) |
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(c) | (x - 2)(x + 3) |
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(d) | (x + 2)(x + 3) |
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(e) | x2 - 5 x + 6 |
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2. |
Find the product (2x+y)(y-3x). |
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(a) | -6x2 + y2 |
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(b) | -6x2 + y2 - xy |
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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. |
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(a) |
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(b) |
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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) | 12 |
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4. |
The area of a right triangle with sides 3, 4, and 5 is
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(a) | 15 |
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(b) | 10 |
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(c) | 6 |
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(d) | 12 |
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(e) | 20 |
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5. |
Which of the following points is closer to the point
(1,1) than the point (2,2) is to (1,1)? |
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(a) | (1, 5/2) |
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(b) | (2,0) |
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(c) | (0,0) |
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(d) | (0,2) |
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(e) | (0,1) |
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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) | if and only if m < 0 |
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(b) | if and only if m > 0 |
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(c) | if and only if m is not equal to 0 |
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(d) | for no values of m |
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(e) | for all values of m |
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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 = -4 |
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(c) | x = 8 |
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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) | There is no smallest value. |
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(b) | 3 |
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(c) | 0 |
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(d) | -6 |
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(e) | -3 |
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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) | 2 |
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(d) | 0 |
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(e) | It cannot be determined. |
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10. |
[x2]1/2 reduces to |
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(a) | 1 |
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(b) | |x| |
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(c) | 0 |
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(d) | x |
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(e) | x2 |
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11. |
log2(3xy2) is equal to which of the following?
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(a) | log2(3x) log2(y2) |
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(b) | 3 log2(x) + [log2(y)]2 |
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(c) | All of the other answers are incorrect. |
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(d) | 3log2(x) + 2log2(y) |
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(e) | log2(3) + log2(x) + log2(y2) |
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12. |
Which of the following values of x satisfies
log2(3x) + log2(2x) = 3? |
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(a) | x = 4 |
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(b) | x = (3/2)1/2 |
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(c) | x = (4/3)1/2 |
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(d) | x = 3/5 |
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(e) | x = 5 |
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13. |
If h(x) = x4 +1, g(x) = x3+1
and f(x) = x2 +1, then
f( g(0) + h(0) ) is: |
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(a) | 1 |
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(b) | 11 |
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(c) | 5 |
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(d) | 0 |
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(e) | 9 |
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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) | 4 |
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(c) | 0 |
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(d) | 10 |
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(e) | 16 |
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15. |
If f(x)=3x2 + 3,
what is f(f(a))? |
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(a) | 3a2 + 3 |
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(b) | 3(3a2 + 3)2 + 3 |
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(c) | 0 |
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(d) | Not defined. |
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(e) | All of the other answers are incorrect. |
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16. |
The inequality |x -1| < |2 -x| is equivalent to |
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(a) | 1 < x < 2 |
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(b) | x < 2 |
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(c) | x < 1/2 |
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(d) | 1 < x |
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(e) | x < 3/2 |
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17. |
The expression | 5x-2 | > 1 is equivalent to which of the following? |
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(a) | There are no values of x which satisfy this expression. |
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(b) | x < 1/5 or x > 3/5 |
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(c) | x < -1/5 or x > 3/5 |
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(d) | x < 1/5 and 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) | There are no values of x which satisfy this expression. |
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(c) | x + 2 > 0 |
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(d) | All of the other answers are incorrect. |
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(e) | x is not equal to 1 and x + 2 > 0 |
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19. |
If 3x + 4y = 7 and 5x-4y = 1, find x and y. |
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(a) | x = 2 and y = 1 |
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(b) | x = 1 and y = 1 |
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(c) | x = 2 and y = 2 |
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(d) | x = 1 and y = -1 |
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(e) | x = -1 and y = 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) | 15 |
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(c) | 6 |
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(d) | Cannot be determined |
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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) | y = 0 |
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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) | Cannot be determined |
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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) | 2(pi/3) |
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(c) | pi |
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(d) | pi/3 |
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(e) | pi/2 |
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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) | 31/2/2 |
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(c) | 1/2 |
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(d) | 2/(31/2) |
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(e) | 2/3 |
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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) | 8/5 |
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(b) | 3/8 |
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(c) | 4/5 |
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(d) | 5/8 |
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(e) | 3/5 |
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