  
1. 
Factor x^{2}  5x + 6. 

(a)  (x + 3)(x  2) 

(b)  (x  2)(x  3) 

(c)  (x  2)(x + 3) 

(d)  (x + 2)(x + 3) 

(e)  x^{2}  5 x + 6 

  
2. 
Find the product (2x+y)(y3x). 

(a)  6x^{2} + y^{2} 

(b)  6x^{2} + y^{2}  xy 

(c)  xy 

(d)  6x^{2} + y^{2}  xy 

(e)  All of the other answers are incorrect. 

  
3. 


(a) 


(b) 


(c)  

(d) 
 ( 
x+1
x  3

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




(e)  12 

  
4. 
The area of a right triangle with sides 3, 4, and 5 is


(a)  15 

(b)  10 

(c)  6 

(d)  12 

(e)  20 

  
5. 
Which of the following points is closer to the point
(1,1) than the point (2,2) is to (1,1)? 

(a)  (1, 5/2) 

(b)  (2,0) 

(c)  (0,0) 

(d)  (0,2) 

(e)  (0,1) 

  
6. 
The circle with equation
x^{2} + y^{2}  2y = 0
intersects the line y = mx in two distinct points 

(a)  if and only if m < 0 

(b)  if and only if m > 0 

(c)  if and only if m is not equal to 0 

(d)  for no values of m 

(e)  for all values of m 

  
7. 
If 2(2x3) + 5(x + 1) = 6x7, what is x? 

(a)  x = 2 

(b)  x = 4 

(c)  x = 8 

(d)  x = 4 

(e)  x = 2 

  
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)  3 

(c)  0 

(d)  6 

(e)  3 

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

(a)  1 

(b)  3 

(c)  2 

(d)  0 

(e)  It cannot be determined. 

  
10. 
[x^{2}]^{1/2} reduces to 

(a)  1 

(b)  x 

(c)  0 

(d)  x 

(e)  x^{2} 

  
11. 
log_{2}(3xy^{2}) is equal to which of the following?


(a)  log_{2}(3x) log_{2}(y^{2}) 

(b)  3 log_{2}(x) + [log_{2}(y)]^{2} 

(c)  All of the other answers are incorrect. 

(d)  3log_{2}(x) + 2log_{2}(y) 

(e)  log_{2}(3) + log_{2}(x) + log_{2}(y^{2}) 

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

(a)  x = 4 

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

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

(d)  x = 3/5 

(e)  x = 5 

  
13. 
If h(x) = x^{4} +1, g(x) = x^{3}+1
and f(x) = x^{2} +1, then
f( g(0) + h(0) ) is: 

(a)  1 

(b)  11 

(c)  5 

(d)  0 

(e)  9 

  
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)  4 

(c)  0 

(d)  10 

(e)  16 

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

(a)  3a^{2} + 3 

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

(c)  0 

(d)  Not defined. 

(e)  All of the other answers are incorrect. 

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

(a)  1 < x < 2 

(b)  x < 2 

(c)  x < 1/2 

(d)  1 < x 

(e)  x < 3/2 

  
17. 
The expression  5x2  > 1 is equivalent to which of the following? 

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

(b)  x < 1/5 or x > 3/5 

(c)  x < 1/5 or x > 3/5 

(d)  x < 1/5 and x > 3/5 

(e)  x < 1/5 

  
18. 
Under which of the following conditions does x
satisfy 



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

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

(c)  x + 2 > 0 

(d)  All of the other answers are incorrect. 

(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 = 2 and y = 1 

(b)  x = 1 and y = 1 

(c)  x = 2 and y = 2 

(d)  x = 1 and y = 1 

(e)  x = 1 and y = 1 

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

(a)  12 

(b)  15 

(c)  6 

(d)  Cannot be determined 

(e)  9 

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


(a)  y = 0 

(b)  y = 25 

(c)  y = 20 

(d)  y = 30 

(e)  Cannot be determined 

  
22. 
The radian measure of an angle of 60 degrees is 

(a)  pi/4 

(b)  2(pi/3) 

(c)  pi 

(d)  pi/3 

(e)  pi/2 

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

(a)  3/2 

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

(c)  1/2 

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

(e)  2/3 

  
24. 
A triangle has sides of length 5, 5 and 8. What is the sine of its
smallest angle? 

(a)  8/5 

(b)  3/8 

(c)  4/5 

(d)  5/8 

(e)  3/5 
