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

(a)  ab^{3}  b 

(b)  3ab^{2} 

(c)  8b^{2} 

(d)  0 

(e)  ab^{2} 

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

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

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

(c)  xy 

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

(e)  All of the other answers are incorrect. 

  
3. 
Evaluate 
( 
1
x

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

). 




(a)  

(b)  

(c)  All of the other answers are incorrect. 

(d) 

5
x

+ 15 + 
2
x^{3}

+ 
6
x^{2}





(e)  

  
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 parabola 

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

(d)  an hyperbola 

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

  
5. 
Find the equation of the line perpendicular to y = x/3 + 1
through the point (3,2). 

(a)  y = 3x  7 

(b)  y = x/3 +1 

(c)  y = x/3 + 3 

(d)  y = x/3 + 7 

(e)  y =  3x + 11 

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


(a)  y = 5 

(b)  y = 2x +1 

(c)  y 1 = x 1 

(d)  y = x 1 

(e)  x = 5 

  
7. 
If 3x + 6 = 12, what is x? 

(a)  x = 4 

(b)  x = 0 

(c)  x = 2 

(d)  x = 2 

(e)  All of the other answers are incorrect. 

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

(a)  0 

(b)  3 

(c)  There is no smallest value. 

(d)  3 

(e)  6 

  
9. 
Find the largest solution of
x^{3} + 4x^{2} + 3x = 0. 

(a)  x = 2 

(b)  x = 3 

(c)  x = 1 

(d)  x = 0 

(e)  x = 1 

  
10. 
If f(x) = 2^{x}, find f(4). 

(a)  1/16 

(b)  16 

(c)  1/16 

(d)  16 

(e)  8 

  
11. 
log(x) < log(x +1) reduces to 

(a)  x < 1 

(b)  x < x +1 

(c)  x < 0 

(d)  1 < x 

(e)  0 < x 

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

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

(b)  x = 5 

(c)  x = 3/5 

(d)  x = 4 

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

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


(a)  10 

(b)  14 

(c)  16 

(d)  12 

(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)  16 

(c)  4 

(d)  0 

(e)  10 

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

(a)  20 

(b)  10 

(c)  13 

(d)  9 

(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 is not equal to 1 

(d)  x > 1 

(e)  x < 1 

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

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

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

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

(d)  x < 1/5 or 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)  x + 2 > 0 

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

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

(e)  All of the other answers are incorrect. 

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

(a)  x = 0 and y = 6 

(b)  x = 4 and y = 1 

(c)  x = 0 and y = 3 

(d)  x = 1 and y = 5 

(e)  x = 1 and y = 3 

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

(a)  15 

(b)  6 

(c)  12 

(d)  Cannot be determined 

(e)  9 

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


(a)  x = 0 

(b)  Cannot be determined 

(c)  x = 1 

(d)  x = 2 

(e)  x = 1 

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

(a)  2(pi/3) 

(b)  pi/4 

(c)  pi/2 

(d)  pi 

(e)  pi/3 

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

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

(b)  1/2 

(c)  3/2 

(d)  2/3 

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

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

(a)  cannot be determined 

(b)  1/2 

(c)  1 

(d)  0 

(e)  2 
