  
1. 
If you divide 12ab^{3} by 4b, the answer is 

(a)  ab^{2} 

(b)  8b^{2} 

(c)  3ab^{2} 

(d)  ab^{3}  b 

(e)  0 

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

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

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

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

(d)  All of the other answers are incorrect. 

(e)  xy 

  
3. 


(a)  

(b) 


(c)  12 

(d) 
 ( 
x+1
x  3

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




(e) 


  
4. 
The distance from the point (1,2) to the point (2,1) is 

(a)  2^{1/2}


(b)  3^{1/2} 

(c)  3 

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

(e)  2 

  
5. 
The line perpendicular to the line x = 5
has slope 

(a)  2 

(b)  1 

(c)  2 

(d)  1 

(e)  0 

  
6. 
The distance from the point (x,y) to the point (2,3)
is twice the distance from the point (x,y) to the point (5,7).
What is the maximum possible distance from (x,y) to (2,3)? 

(a)  5 

(b)  15 

(c)  10 

(d)  4 

(e)  25 

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

(a)  x = 4 

(b)  x = 8 

(c)  x = 4 

(d)  x = 2 

(e)  x = 2 

  
8. 
If x = y and
x^{2}y^{2}  5xy + 6 = 0, then
which of the following is possible? 

(a)  x^{2} = 3 

(b)  x = 3 

(c)  x = 6 

(d)  x^{2} = 6 

(e)  x = 2 

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

(a)  It cannot be determined. 

(b)  3 

(c)  0 

(d)  2 

(e)  1 

  
10. 
log(6) equals 

(a)  3 log(2) 

(b)  log(2) + log(3) 

(c)  2 log(3) 

(d)  3 

(e)  2 

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


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

(b)  All of the other answers are incorrect. 

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

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

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

  
12. 
log(x^{2}  2x +1) > log(25) reduces to 

(a)  x < 6 

(b)  x < 4 

(c)  x < 4 or x > 6 

(d)  x > 6 

(e)  x > 4 

  
13. 
If g(x) = 5x + 2, what is g(2)?


(a)  12 

(b)  11 

(c)  14 

(d)  16 

(e)  10 

  
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)  10 

(b)  0 

(c)  4 

(d)  16 

(e)  9 

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

(a)  10 

(b)  13 

(c)  All of the other answers are incorrect. 

(d)  9 

(e)  20 

  
16. 
The inequality x^{3} > y^{3}
reduces to


(a)  x > 2y 

(b)  x < y 

(c)  x < 2y 

(d)  x = y 

(e)  x > y 

  
17. 
The expression 1 < 

< 1 is satisfied by 
what values of x? 

(a)  All values of x satisfy this expression. 

(b)  All of the other answers are incorrect. 

(c)  x not equal to 0 

(d)  1 < x < 1 

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

  
18. 
The equation x^{6}  4x^{3} + c = 0
has a solution in the real numbers if and only if 

(a)  c is less than or equal to 4 

(b)  c < 4 

(c)  c > 4 

(d)  c is greater than or equal to 4 

(e)  c^{2} is less than or equal to 4 

  
19. 
If 3x + 4y = 7 and 5x4y = 1,
then xy is 

(a)  Cannot be determined 

(b)  1 

(c)  3 

(d)  4 

(e)  2 

  
20. 
If 5x6y = 4 and 3x + 4y = 10,
then x/y is


(a)  3 

(b)  2 

(c)  Cannot be determined 

(d)  1 

(e)  0 

  
21. 
If y + 3x + 2 = 0 and y = x^{2},
then there is a solution with x given by


(a)  x = 1 

(b)  Cannot be determined 

(c)  x = 0 

(d)  x = 2 

(e)  x = 1 

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

(a)  pi/2 

(b)  pi 

(c)  2(pi/3) 

(d)  pi/3 

(e)  pi/4 

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

(a)  1/2 

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

(c)  2/3 

(d)  3/2 

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

  
24. 
If sin(a + b) = 1 and cos(a) = 0,
then cos(2b) is 

(a)  1 

(b)  0 

(c)  1/2 

(d)  cannot be determined 

(e)  2 
