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

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

(b)  (x  2)(x  3) 

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

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

(e)  (x + 3)(x  2) 

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

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

(b)  xy 

(c)  All of the other answers are incorrect. 

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

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

  
3. 
Evaluate 
( 
1
x

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

). 




(a) 

5
x

+ 15 + 
2
x^{3}

+ 
6
x^{2}





(b)  All of the other answers are incorrect. 

(c)  

(d)  

(e)  

  
4. 
The line perpendicular to the line which contains the
points (1,1) and (2,2) has slope 

(a)  1 

(b)  1 

(c)  0 

(d)  2 

(e)  2 

  
5. 
The parabola with equation y = x^{2} +1
intersects the line y = mx if and only if 

(a)  m < 0 

(b)  4 less than or equal m^{2} 

(c)  m > 0 

(d)  m = 2 

(e)  2 less than or equal m 

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


(a)  y = 5 

(b)  y 1 = x 1 

(c)  y = x 1 

(d)  y = 2x +1 

(e)  x = 5 

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

(a)  x = 2 

(b)  x = 0 

(c)  x = 4 

(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)  There is no smallest value. 

(b)  6 

(c)  0 

(d)  3 

(e)  3 

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

(a)  2 

(b)  1 

(c)  3 

(d)  It cannot be determined. 

(e)  0 

  
10. 
If f(x)=2^{x}, find f(3). 

(a)  9 

(b)  All of the other answers are incorrect. 

(c)  2 

(d)  6 

(e)  8 

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


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

(b)  log_{2}(3x) 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. 
log(x^{2}  2x +1) > log(25) reduces to 

(a)  x < 4 

(b)  x < 4 or x > 6 

(c)  x > 6 

(d)  x > 4 

(e)  x < 6 

  
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)  5 

(b)  1 

(c)  0 

(d)  9 

(e)  11 

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

(a)  23 

(b)  9 

(c)  3 

(d)  30 

(e)  7 

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

(a)  10 

(b)  13 

(c)  20 

(d)  All of the other answers are incorrect. 

(e)  9 

  
16. 
The inequality 

is equivalent to: 


(a)  x > 0 

(b)  x = 0 

(c)  x < 0 

(d)  x > 1 

(e)  x < 1 

  
17. 
The inequality 

is equivalent to: 


(a)  x > 0 

(b)  x is not equal to 0 

(c)  x < 1 

(d)  x < 0 

(e)  x > 1 

  
18. 
The expression ( x + 1)(x + 2) > 0
is equivalent to which of the following? 

(a)  1 > x > 2 

(b)  x < 2 

(c)  x > 1 

(d)  x < 2 or x > 1 

(e)  All of the other answers are incorrect. 

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

(a)  2 

(b)  1 

(c)  Cannot be determined 

(d)  4 

(e)  3 

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


(a)  1 

(b)  3 

(c)  Cannot be determined 

(d)  2 

(e)  0 

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


(a)  y = 25 

(b)  y = 20 

(c)  y = 30 

(d)  Cannot be determined 

(e)  y = 0 

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

(a)  pi/4 

(b)  pi 

(c)  pi/3 

(d)  pi/2 

(e)  2(pi/3) 

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

(a)  2/3 

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

(c)  1/2 

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

(e)  3/2 

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

(a)  1 

(b)  cannot be determined 

(c)  1/2 

(d)  0 

(e)  2 
