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

(a)  1 

(b)  x 1 

(c)  x +1 

(d)  x 

(e)  0 

  
3. 


(a)  12 

(b) 


(c) 
 ( 
x+1
x  3

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




(d)  

(e) 


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

(a)  2^{1/2}


(b)  3 

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

(d)  2 

(e)  3^{1/2} 

  
5. 
Find the equation of the line through (1,1) and (5,2). 

(a)  x  y + 2 = 0 

(b)  x  2y  1 = 0 

(c)  x + y = 0 

(d)  x  y  2 = 0 

(e)  x  6y + 7 = 0 

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


(a)  y 1 = x 1 

(b)  y = x 1 

(c)  x = 5 

(d)  y = 2x +1 

(e)  y = 5 

  
7. 
Find all solutions to x^{2}3x + 2 = 0. 

(a)  x = 1 and x = 2 

(b)  x = 1 and x = 2 

(c)  x = 1.1 and x = 2.1 

(d)  x = 1 and x = 2 

(e)  x = 1 and x = 2 

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

(a)  x^{2} = 6 

(b)  x^{2} = 3 

(c)  x = 2 

(d)  x = 3 

(e)  x = 6 

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

(a)  x = 1 

(b)  x = 3 

(c)  x = 2 

(d)  x = 1 

(e)  x = 0 

  
10. 
log(6) equals 

(a)  3 log(2) 

(b)  2 

(c)  log(2) + log(3) 

(d)  3 

(e)  2 log(3) 

  
11. 
Find the value of x that satisfies the equation 



(a)  2 

(b)  0 

(c)  4 

(d)  1 

(e)  3 

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

(a)  x > 4 

(b)  x < 4 or x > 6 

(c)  x < 6 

(d)  x > 6 

(e)  x < 4 

  
13. 
If f(x) = x + 5, what is f(3)? 

(a)  8 

(b)  2 

(c)  3 

(d)  5 

(e)  9 

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

(a)  9 

(b)  30 

(c)  7 

(d)  23 

(e)  All of the other answers are incorrect. 

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

(a)  Not defined. 

(b)  All of the other answers are incorrect. 

(c)  3a^{2} + 3 

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

(e)  0 

  
16. 
The inequality 

is equivalent to: 


(a)  x > 1 

(b)  x > 0 

(c)  x = 0 

(d)  x < 0 

(e)  x < 1 

  
17. 
The inequality (x  1)^{2} > 1 is equivalent to 

(a)  0 < x and x < 2 

(b)  x < 0 

(c)  x < 2 

(d)  x > 2 

(e)  x < 0 or x > 2 

  
18. 
The inequality 

is equivalent to: 


(a)  x is not equal to 0 

(b)  x = 0 

(c)  x < 0 

(d)  x > 0 

(e)  None of the other answers is correct 

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

(a)  x = 1 and y = 3 

(b)  x = 1 and y = 5 

(c)  x = 4 and y = 1 

(d)  x = 0 and y = 6 

(e)  x = 0 and y = 3 

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


(a)  2 

(b)  0 

(c)  Cannot be determined 

(d)  1 

(e)  3 

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


(a)  x = 1 

(b)  x = 2 

(c)  Cannot be determined 

(d)  x = 1 

(e)  x = 0 

  
22. 
A right triangle has sides of length 3, 4, and 5. What is the
cosine of its smallest angle? 

(a)  3/5 

(b)  4/3 

(c)  3/4 

(d)  5/3 

(e)  4/5 

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

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

(b)  3/2 

(c)  2/3 

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

(e)  1/2 

  
24. 
A line containing the point (0,0) defines an angle of 60 degrees
with the xaxis. If the slope of the line is negative then the line must
contain the point 

(a)  (1,3) 

(b)  (1,2) 

(c)  (1,2) 

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

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