  
1. 
The equation, 4x^{2}  6x + 10 = 0, has 

(a)  two real solutions 

(b)  one real solution 

(c)  three real solutions 

(d)  four real solutions 

(e)  no real solutions 

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

(a)  0 

(b)  1 

(c)  x 1 

(d)  x +1 

(e)  x 

  
3. 


(a)  12 

(b) 


(c) 


(d) 
 ( 
x+1
x  3

) 
 ( 
x^{2}  2x  3
x+1
 ) 




(e)  

  
4. 
Find the midpoint of the line segment between (2,1) and (4,5). 

(a)  (1,1) 

(b)  (3,1) 

(c)  (3,3) 

(d)  (3,1) 

(e)  (1,3) 

  
5. 
The set of points (x,y) such that
x^{2} 2x + y^{2} 6y = 6
is a circle of radius 

(a)  5 

(b)  4 

(c)  6 

(d)  5^{1/2} 

(e)  6^{1/2} 

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


(a)  x = 5 

(b)  y = x 1 

(c)  y 1 = x 1 

(d)  y = 5 

(e)  y = 2x +1 

  
7. 
Let f(x) = 3x + 2. For which
x is f(x) = 2? 

(a)  4/3 

(b)  2/3 

(c)  3/2 

(d)  4/3 

(e)  0 

  
8. 
If x = 3, find the smallest value of y which satisfies
y^{2}x + 3yx^{2} + 54 = 0. 

(a)  There is no smallest value. 

(b)  6 

(c)  3 

(d)  0 

(e)  3 

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

(a)  0 

(b)  2 

(c)  3 

(d)  It cannot be determined. 

(e)  1 

  
10. 
16^{3/2} is 

(a)  32 

(b)  8 

(c)  8^{3} 

(d)  128 

(e)  64 

  
11. 
Which of the following describes the domain of log(x)? 

(a)  x < 0 

(b)  x is any real number 

(c)  x is not equal to 0 

(d)  x > 0 

(e)  1 > x > 1 

  
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 = 5 

(d)  x = 3/5 

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

  
13. 
If f(x) = x^{2} + 1
and g(x) = 2x  1, then f(g(2)) = 

(a)  5 

(b)  10 

(c)  26 

(d)  9 

(e)  11 

  
14. 
If h(x) = x^{3}, g(x) = x^{2}+1 and f(x) = x +1, then h(g(f(0))) + f(g(h(0))) is: 

(a)  9 

(b)  0 

(c)  4 

(d)  16 

(e)  10 

  
15. 
If f(x) = 3x^{2} + 4
and g(y) = 2y^{1/2} + 5,
what is g(f(2))? 

(a)  20 

(b)  9 

(c)  13 

(d)  10 

(e)  All of the other answers are incorrect. 

  
16. 
The inequality x^{2}  2x > 1 reduces to 

(a)  x < 1 

(b)  x > 1 

(c)  x > 1 

(d)  x is not equal to 1 

(e)  x < 1 

  
17. 
The inequality x^{3} < 2x^{2} x reduces to 

(a)  x < 0 

(b)  x > 0 

(c)  x < 0 or x is not equal to 1 

(d)  x > 1 

(e)  x < 1 

  
18. 
Under which of the following conditions does x
satisfy 



(a)  All of the other answers are incorrect. 

(b)  x  1 > 0 and x + 2 > 0 

(c)  There are no values of x which satisfy this expression. 

(d)  x + 2 > 0 

(e)  x is not equal to 1 and x + 2 > 0 

  
19. 
If 3x + 4y = 7 and 5x4y = 1, find x and y. 

(a)  x = 1 and y = 1 

(b)  x = 1 and y = 1 

(c)  x = 2 and y = 1 

(d)  x = 2 and y = 2 

(e)  x = 1 and y = 1 

  
20. 
If y + 4x  18 = 0 and y^{2} = x, then there is a solution with y given by 

(a)  Cannot be determined


(b)  y = 2 

(c)  y = 0 

(d)  y = 1 

(e)  y = 9/4 

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


(a)  y = 20 

(b)  Cannot be determined 

(c)  y = 25 

(d)  y = 30 

(e)  y = 0 

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

(a)  pi 

(b)  2pi/3 

(c)  pi/3 

(d)  pi/4 

(e)  pi/2 

  
23. 
If sin(a) = 1, cos(b) > 0, and sin(b) = 1/2,
then sin(a + b) is 

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

(b)  3^{1/2}/2 

(c)  2/3 

(d)  3/2 

(e)  1/2 

  
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)  8 

(b)  1/8 

(c)  0 

(d)  2 

(e)  1 
