  
1. 


(a)  

(b)  

(c)  

(d)  

(e)  

  
2. 
Simplify 

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






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

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

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

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

(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. 
Find the midpoint of the line segment between (2,1) and (4,5). 

(a)  (1,1) 

(b)  (1,3) 

(c)  (3,1) 

(d)  (3,3) 

(e)  (3,1) 

  
5. 
Which of the following points is closer to the point
(1,1) than the point (2,2) is to (1,1)? 

(a)  (0,1) 

(b)  (0,0) 

(c)  (2,0) 

(d)  (0,2) 

(e)  (1, 5/2) 

  
6. 
A circle contains the four vertices of a square with
diagonal of length 6. The area of the region outside the
square and inside the circle is 

(a)  36pi  36 

(b)  36 

(c)  9pi  9 

(d)  36 pi 

(e)  9pi  18 

  
7. 
Let f(x) = 3x + 2. For which
x is f(x) = 2? 

(a)  2/3 

(b)  0 

(c)  4/3 

(d)  4/3 

(e)  3/2 

  
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 = 3 

(d)  x = 6 

(e)  x = 2 

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

(a)  2 

(b)  It cannot be determined. 

(c)  0 

(d)  1 

(e)  3 

  
10. 
log(3/2) equals 

(a)  log(2) + log(3) 

(b)  (1/2)log(3) 

(c)  log(3)  log(2) 

(d)  log(2)  log(3) 

(e)  3 log(1/2) 

  
11. 
What is log_{3}(3^{5})? 

(a)  3e 

(b)  e 

(c)  5 

(d)  1/3 

(e)  1/5 

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

(a)  x < 4 or x > 6 

(b)  x < 4 

(c)  x > 6 

(d)  x > 4 

(e)  x < 6 

  
13. 
The function f(x) = x^{2}
has range 

(a)  The set of all numbers x such that x is less than or equal to 0 

(b)  The set of all numbers x such that x is greater than or equal to 1 

(c)  The set of all numbers x such that x is less than or equal to 1 

(d)  The set of all numbers 

(e)  The set of all numbers x such that x
is greater than or equal to 0 

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

(a)  9 

(b)  30 

(c)  23 

(d)  All of the other answers are incorrect. 

(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)  9 

(e)  All of the other answers are incorrect. 

  
16. 
The expression 40 < 5x < 80 is equivalent to which of the following? 

(a)  All of the other answers are incorrect. 

(b)  8 < x < 16 

(c)  35 < x < 75 

(d)  8 > x < 16 

(e)  8 < x > 16 

  
17. 
The inequality x^{3} < 2x^{2} x reduces to 

(a)  x < 1 

(b)  x > 1 

(c)  x < 0 

(d)  x > 0 

(e)  x < 0 or x is not equal to 1 

  
18. 
Under which of the following conditions does x
satisfy 



(a)  x + 2 > 0 

(b)  x  1 > 0 and x + 2 > 0 

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

(d)  All of the other answers are incorrect. 

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

  
19. 
If 5x  6y = 4 and 3x + 4y = 10,
find x and y.


(a)  x = 2 and y = 1 

(b)  x = 4 and y = 1 

(c)  x = 2 and y = 2 

(d)  x = 2 and y = 1 

(e)  x = 2 and y = 2 

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


(a)  Cannot be determined 

(b)  0 

(c)  1 

(d)  2 

(e)  3 

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


(a)  x = 2 

(b)  x = 1 

(c)  Cannot be determined 

(d)  x = 0 

(e)  x = 1 

  
22. 
If a circle has radius 2, then what is the radian measure of
an angle whose vertex is at the center of circle and which cuts an
arc of length 1 along the circle? 

(a)  1/(4pi) 

(b)  2pi 

(c)  1/2 

(d)  pi/2 

(e)  2 

  
23. 
Which of the following is correct? 

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

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

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

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

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

  
24. 
A triangle has sides of length 5, 5 and 8. What is the sine of its
smallest angle? 

(a)  3/8 

(b)  5/8 

(c)  4/5 

(d)  3/5 

(e)  8/5 
