  
1. 


(a)  

(b)  

(c)  

(d)  

(e)  

  
2. 
Simplify 

(3 a^{2} b^{3})^{4}
(12ab^{3})^{5}






(a)  48a^{3}b^{27} 

(b)  48a^{13}b^{27} 

(c)  96a^{3}b^{27} 

(d)  All of the other answers are incorrect. 

(e)  96a^{13}b^{27} 

  
3. 
Evaluate 
( 
1
x

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

). 




(a)  

(b)  

(c)  All of the other answers are incorrect. 

(d)  

(e) 

5
x

+ 15 + 
2
x^{3}

+ 
6
x^{2}





  
4. 
The graph  
would best approximate the graph of which of the
following equations for on the interval [1.5,1.5]?



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

(b)  y^{2} + x^{2} = 1 

(c)  y = x^{3} 

(d)  y = x 

(e)  y = x^{2} 

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

(a)  x  y  2 = 0 

(b)  x  y + 2 = 0 

(c)  x  6y + 7 = 0 

(d)  x  2y  1 = 0 

(e)  x + y = 0 

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


(a)  y 1 = x 1 

(b)  y = 5 

(c)  x = 5 

(d)  y = x 1 

(e)  y = 2x +1 

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

(a)  x = 1.1 and x = 2.1 

(b)  x = 1 and x = 2 

(c)  x = 1 and x = 2 

(d)  x = 1 and x = 2 

(e)  x = 1 and x = 2 

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

(a)  6 

(b)  0 

(c)  There is no smallest value. 

(d)  3 

(e)  3 

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

(a)  0 

(b)  2 

(c)  3 

(d)  1 

(e)  It cannot be determined. 

  
10. 
log(3/2) equals 

(a)  (1/2)log(3) 

(b)  log(3)  log(2) 

(c)  log(2)  log(3) 

(d)  3 log(1/2) 

(e)  log(2) + log(3) 

  
11. 
Find the value of x that satisfies the equation 



(a)  4 

(b)  3 

(c)  1 

(d)  0 

(e)  2 

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

(a)  x < 4 

(b)  x < 4 or x > 6 

(c)  x > 4 

(d)  x > 6 

(e)  x < 6 

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

(a)  16 

(b)  0 

(c)  9 

(d)  1 

(e)  4 

  
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)  16 

(c)  4 

(d)  0 

(e)  9 

  
15. 
If f(x) = 3x + 3 what is f(f(2))?


(a)  81 

(b)  All of the other answers are incorrect.


(c)  Not defined. 

(d)  30 

(e)  9 

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


(a)  x > 2y 

(b)  x > y 

(c)  x = y 

(d)  x < y 

(e)  x < 2y 

  
17. 
The inequality 

is equivalent to: 


(a)  x < 0 

(b)  x < 1 

(c)  x > 0 

(d)  x > 1 

(e)  x is not equal to 0 

  
18. 
The inequality 

x^{2} 2x + 1 x^{2} +
x + 1

> 0 


is equivalent to: 


(a)  x < 0 

(b)  x > 0 

(c)  x > 1 

(d)  x is not equal to 1 

(e)  x < 1 

  
19. 
If 3x + 4y = 7 and 5x4y = 1, find x and y. 

(a)  x = 2 and y = 2 

(b)  x = 1 and y = 1 

(c)  x = 1 and y = 1 

(d)  x = 2 and y = 1 

(e)  x = 1 and y = 1 

  
20. 
If y + 4x  18 = 0 and y^{2} = x, then there is a solution with y given by 

(a)  y = 0 

(b)  y = 1 

(c)  y = 2 

(d)  Cannot be determined


(e)  y = 9/4 

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


(a)  x = 2 

(b)  x = 0 

(c)  x = 1 

(d)  x = 1 

(e)  Cannot be determined 

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

(a)  5/3 

(b)  4/5 

(c)  4/3 

(d)  3/5 

(e)  3/4 

  
23. 
Which of the following is correct? 

(a)  sin(.1) < cos(.1) < sin(.1)cos(.1) 

(b)  sin(.1)cos(.1) < sin(.1) < cos(.1) 

(c)  cos(.1) < sin(.1) < sin(.1)cos(.1) 

(d)  sin(.1) < sin(.1)cos(.1) < cos(.1) 

(e)  cos(.1) < sin(.1)cos(.1) < sin(.1) 

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

(a)  undefined 

(b)  0 

(c)  1/2 

(d)  1 

(e)  1/4 
