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1. |
Factor x2 - 5x + 6. |
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(a) | (x - 2)(x - 3) |
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(b) | (x + 2)(x + 3) |
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(c) | (x - 2)(x + 3) |
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(d) | x2 - 5 x + 6 |
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(e) | (x + 3)(x - 2) |
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2. |
The remainder of dividing the polynomial
x3 + x2
by x2 +1 is |
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(a) | 1 |
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(b) | -x -1 |
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(c) | x +1 |
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(d) | x |
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(e) | 0 |
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3. |
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(a) | 12 |
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(b) |
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(c) |
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| ( |
x+1
x - 3
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| ( |
x2 - 2x - 3
x+1
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(d) | |
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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) | 21/2
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(b) | 3 |
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(c) | 3(21/2) |
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(d) | 2 |
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(e) | 31/2 |
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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 - y - 2 = 0 |
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(e) | x - 6y + 7 = 0 |
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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 -1 = x -1 |
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(b) | y = -x -1 |
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(c) | x = 5 |
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(d) | y = 2x +1 |
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(e) | y = 5 |
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7. |
Find all solutions to x2-3x + 2 = 0. |
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(a) | x = -1 and x = 2 |
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(b) | x = -1 and x = -2 |
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(c) | x = 1.1 and x = 2.1 |
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(d) | x = 1 and x = 2 |
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(e) | x = 1 and 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) | x2 = 3 |
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(c) | x = 2 |
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(d) | x = 3 |
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(e) | x = 6 |
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9. |
Find the largest solution of
x3 + 4x2 + 3x = 0. |
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(a) | x = 1 |
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(b) | x = -3 |
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(c) | x = -2 |
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(d) | x = -1 |
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(e) | x = 0 |
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10. |
log(6) equals |
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(a) | 3 log(2) |
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(b) | 2 |
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(c) | log(2) + log(3) |
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(d) | 3 |
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(e) | 2 log(3) |
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11. |
| Find the value of x that satisfies the equation |
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(a) | 2 |
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(b) | 0 |
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(c) | 4 |
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(d) | 1 |
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(e) | 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 < -4 or x > 6 |
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(c) | 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) | 2 |
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(c) | 3 |
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(d) | 5 |
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(e) | 9 |
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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) | 9 |
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(b) | 30 |
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(c) | 7 |
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(d) | 23 |
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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) | Not defined. |
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(b) | All of the other answers are incorrect. |
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(c) | 3a2 + 3 |
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(d) | 3(3a2 + 3)2 + 3 |
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(e) | 0 |
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16. |
| The inequality |
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(a) | x > 1 |
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(b) | x > 0 |
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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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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 |
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(c) | x < -2 |
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(d) | x > 2 |
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(e) | x < 0 or x > 2 |
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18. |
| The inequality |
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(a) | x is not equal to 0 |
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(b) | x = 0 |
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(c) | x < 0 |
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(d) | x > 0 |
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(e) | None of the other answers is correct |
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19. |
If 4x - y = 1 and 2x + y = 5,
find x and y. |
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(a) | x = 1 and y = 3 |
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(b) | x = -1 and y = 5 |
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(c) | x = 4 and y = 1 |
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(d) | x = 0 and y = 6 |
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(e) | x = 0 and y = 3 |
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20. |
If 5x-6y = 4 and 3x + 4y = 10,
then x/y is
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(a) | 2 |
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(b) | 0 |
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(c) | Cannot be determined |
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(d) | 1 |
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(e) | 3 |
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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 = 1 |
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(b) | x = 2 |
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(c) | Cannot be determined |
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(d) | x = -1 |
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(e) | x = 0 |
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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) | 3/5 |
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(b) | 4/3 |
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(c) | 3/4 |
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(d) | 5/3 |
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(e) | 4/5 |
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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) | 31/2/2 |
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(b) | 3/2 |
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(c) | 2/3 |
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(d) | 2/(31/2) |
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(e) | 1/2 |
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24. |
A line containing the point (0,0) defines an angle of 60 degrees
with the x-axis. If the slope of the line is negative then the line must
contain the point |
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(a) | (1,-3) |
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(b) | (1,2) |
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(c) | (1,-2) |
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(d) | (1,31/2) |
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(e) | (1,-31/2) |
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