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

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

(b)  (x  2)(x + 3) 

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

(d)  (x  2)(x  3) 

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

  
2. 
Simplify [a^{4}  4a^{2} +4]^{1/2} 

(a)  a^{2} +2 

(b)  a^{2}2 

(c)  a^{2} + 2a + 2 

(d)  a^{2}2 

(e)  a^{2} +2 

  
3. 
Evaluate 
( 
1
x

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

). 




(a)  

(b) 

5
x

+ 15 + 
2
x^{3}

+ 
6
x^{2}





(c)  

(d)  

(e)  All of the other answers are incorrect. 

  
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^{3} 

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

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

(d)  y = x 

(e)  y = x^{2} 

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

(a)  y = x/3 +1 

(b)  y = 3x  7 

(c)  y = x/3 + 7 

(d)  y = x/3 + 3 

(e)  y =  3x + 11 

  
6. 
How many points are in the intersection of
y = x^{2} + 3x + 1
and y = 2x + 5? 

(a)  1 

(b)  2 

(c)  infinitely many 

(d)  3 

(e)  0 

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

(a)  All of the other answers are incorrect. 

(b)  x = 0 

(c)  x = 4 

(d)  x = 2 

(e)  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 

(c)  x = 3 

(d)  x = 6 

(e)  x^{2} = 3 

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

(a)  x = 1 

(b)  x = 2 

(c)  x = 3 

(d)  x = 0 

(e)  x = 1 

  
10. 
If f(x) = log_{2} x, find f(8).


(a)  1 

(b)  4 

(c)  3 

(d)  0 

(e)  2 

  
11. 
log(x) < log(2) reduces to 

(a)  x < 10 

(b)  10 < x 

(c)  0 < x < 2 

(d)  x < 2 

(e)  x is not equal to 2 

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

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

(b)  x = 3/5 

(c)  x = 4 

(d)  x = 5 

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

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


(a)  16 

(b)  11 

(c)  14 

(d)  12 

(e)  10 

  
14. 
The function f(x) =
[x^{2} 1]^{1/2} has domain 

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

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

(c)  The set of all numbers x such that either
x < 1 or 1 < x


(d)  The interval [1,1] 

(e)  The set of all numbers x such that
1 < x 

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

(a)  13 

(b)  All of the other answers are incorrect. 

(c)  20 

(d)  10 

(e)  9 

  
16. 
The expression 18 < 6x < 12
is equivalent to which of the following? 

(a)  All of the other answers are incorrect. 

(b)  2 > x > 3 

(c)  2 > x > 3 

(d)  3 > x > 2 

(e)  3 > x > 2 

  
17. 
The expression 1 < 

< 1 is satisfied by 
what values of x? 

(a)  x not equal to 0 

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

(c)  1 < x < 1 

(d)  All of the other answers are incorrect. 

(e)  All values of x satisfy this expression. 

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

(a)  x > 1 

(b)  All of the other answers are incorrect. 

(c)  1 > x > 2 

(d)  x < 2 

(e)  x < 2 or x > 1 

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

(a)  x = 1 and y = 1 

(b)  x = 1 and y = 1 

(c)  x = 1 and y = 1 

(d)  x = 2 and y = 2 

(e)  x = 2 and y = 1 

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

(a)  Cannot be determined 

(b)  9 

(c)  6 

(d)  15 

(e)  12 

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


(a)  x = 1 

(b)  x = 0 

(c)  x = 2 

(d)  x = 1 

(e)  Cannot be determined 

  
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)  2pi 

(b)  2 

(c)  1/(4pi) 

(d)  pi/2 

(e)  1/2 

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

(a)  3/2 

(b)  2/3 

(c)  1/2 

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

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

(b)  (1,2) 

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

(d)  (1,2) 

(e)  (1,3) 
