  
1. 
The remainder of dividing the polynomial
x^{3}x^{2}+x1
by x1 is


(a)  x 

(b)  2 

(c)  0 

(d)  1 

(e)  3 

  
2. 
The remainder of dividing the polynomial
x^{3} + x^{2}
by x^{2} +1 is 

(a)  x 

(b)  x +1 

(c)  0 

(d)  1 

(e)  x 1 

  
3. 
Evaluate 
( 
1
x

+ 3 ) ( 5 + 
2
x^{2}

). 




(a)  

(b)  

(c)  

(d)  All of the other answers are incorrect. 

(e) 

5
x

+ 15 + 
2
x^{3}

+ 
6
x^{2}





  
4. 
The set of points (x,y) such that
x^{2} + y^{2} = 9
is 

(a)  a circle of radius 9 centered at (0,0) 

(b)  a circle of radius 3 centered at (0,0) 

(c)  a circle of radius 3 centered at (1,1) 

(d)  an hyperbola 

(e)  a parabola 

  
5. 
What is the slope of a line parallel to 5x  7y + 2 = 0? 

(a)  2 

(b)  5 

(c)  7/5 

(d)  7 

(e)  5/7 

  
6. 
The line containing the points (1,1) and (1,1) is perpendicular
to the line


(a)  y = 2x +1 

(b)  x = 5 

(c)  y = x 1 

(d)  y = 5 

(e)  y 1 = x 1 

  
7. 
Find all solutions to x^{2}3x + 2 = 0. 

(a)  x = 1.1 and x = 2.1 

(b)  x = 1 and x = 2 

(c)  x = 1 and x = 2 

(d)  x = 1 and x = 2 

(e)  x = 1 and x = 2 

  
8. 
If x = 8, find the largest value of y which satisfies
y^{2}x + yx^{2} + 128 = 0. 

(a)  4 

(b)  8 

(c)  4 

(d)  8 

(e)  There is no largest value. 

  
9. 
How many real solutions for x are there to the equation
x^{2} + 3x + 8 = 0? 

(a)  3 

(b)  1 

(c)  0 

(d)  It cannot be determined. 

(e)  2 

  
10. 
log(6) equals 

(a)  log(2) + log(3) 

(b)  3 log(2) 

(c)  3 

(d)  2 log(3) 

(e)  2 

  
11. 
Which of the following values of x satisfies
log_{2}(x)  log_{2}(x+1) = 1?


(a)  x = 2 

(b)  x = 1/3 

(c)  x = 1 

(d)  x = 1/3 

(e)  x = 3 

  
12. 
Which of the following values of x satisfies
log_{2}(3x) + log_{2}(2x) = 3? 

(a)  x = (3/2)^{1/2} 

(b)  x = 4 

(c)  x = 3/5 

(d)  x = 5 

(e)  x = (4/3)^{1/2} 

  
13. 
The function f(x) = x^{2}
has range 

(a)  The set of all numbers x such that x is less than or equal to 1 

(b)  The set of all numbers x such that x is less than or equal to 0 

(c)  The set of all numbers x such that x
is greater than or equal to 0 

(d)  The set of all numbers 

(e)  The set of all numbers x such that x is greater than or equal to 1 

  
14. 
If f(x) = 3x + 3 and g(y) = 2y + 5, what is g(f(2))? 

(a)  7 

(b)  All of the other answers are incorrect. 

(c)  30 

(d)  9 

(e)  23 

  
15. 
If f(x)=3x^{2} + 3,
what is f(f(a))? 

(a)  All of the other answers are incorrect. 

(b)  3a^{2} + 3 

(c)  Not defined. 

(d)  0 

(e)  3(3a^{2} + 3)^{2} + 3 

  
16. 
The inequality x 1 < 2 x is equivalent to 

(a)  1 < x < 2 

(b)  1 < x 

(c)  x < 3/2 

(d)  x < 2 

(e)  x < 1/2 

  
17. 


(a)  13 < x < 13 

(b)  12 < x < 12 

(c)  All of the other answers are incorrect. 

(d)  12 < x < 13 

(e)  13 < x < 12 

  
18. 
The inequality 

x^{2} 2x + 1 x^{2} +
x + 1

> 0 


is equivalent to: 


(a)  x > 1 

(b)  x is not equal to 1 

(c)  x < 1 

(d)  x > 0 

(e)  x < 0 

  
19. 
If 4x  y = 1 and 2x + y = 5,
find x and y. 

(a)  x = 0 and y = 3 

(b)  x = 0 and y = 6 

(c)  x = 1 and y = 5 

(d)  x = 4 and y = 1 

(e)  x = 1 and y = 3 

  
20. 
If 4x  y = 1 and 2x + y = 5, then
3xy is


(a)  6 

(b)  Cannot be determined 

(c)  3 

(d)  9 

(e)  0 

  
21. 
If y + 4x  5 = 0 and y = x^{2},
then there is a solution with y given by


(a)  Cannot be determined 

(b)  y = 20 

(c)  y = 0 

(d)  y = 25 

(e)  y = 30 

  
22. 
The radian measure of an angle of 45 degrees is 

(a)  pi/4 

(b)  pi/2 

(c)  pi/3 

(d)  2pi/3 

(e)  pi 

  
23. 
Which of the following is correct? 

(a)  cos(.1) < sin(.1)cos(.1) < sin(.1) 

(b)  cos(.1) < sin(.1) < sin(.1)cos(.1) 

(c)  sin(.1)cos(.1) < sin(.1) < cos(.1) 

(d)  sin(.1) < cos(.1) < sin(.1)cos(.1) 

(e)  sin(.1) < sin(.1)cos(.1) < cos(.1) 

  
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 

(a)  0 

(b)  8 

(c)  1/8 

(d)  1 

(e)  2 
