  
1. 
If you divide 12ab^{3} by 4b, the answer is 

(a)  3ab^{2} 

(b)  ab^{2} 

(c)  ab^{3}  b 

(d)  8b^{2} 

(e)  0 

  
2. 
Simplify 

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


(a)  x^{2} + 1 

(b)  x^{2}  x + 1 

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

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

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

  
3. 
Evaluate 
( 
1
x

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

). 




(a) 

5
x

+ 15 + 
2
x^{3}

+ 
6
x^{2}





(b)  

(c)  

(d)  

(e)  All of the other answers are incorrect. 

  
4. 
What is the slope of the line through (1,2) and (2,1)?


(a)  3 

(b)  1/3 

(c)  3 

(d)  1/3 

(e)  0 

  
5. 
A triangle has a side of length 3, a side of length 4, and a side
of length x. The possible values of x are 

(a)  x > 7 

(b)  1 < x < 7 

(c)  x = 5 

(d)  0 < x < 5 

(e)  0 < x 

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


(a)  x = 5 

(b)  y 1 = x 1 

(c)  y = 5 

(d)  y = 2x +1 

(e)  y = x 1 

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

(a)  4/3 

(b)  2/3 

(c)  0 

(d)  3/2 

(e)  4/3 

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

(a)  0 

(b)  6 

(c)  3 

(d)  3 

(e)  There is no smallest value. 

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

(a)  x = 1 

(b)  x = 0 

(c)  x = 1 

(d)  x = 3 

(e)  x = 2 

  
10. 
[x^{2}]^{1/2} reduces to 

(a)  1 

(b)  0 

(c)  x^{2} 

(d)  x 

(e)  x 

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


(a)  All of the other answers are incorrect. 

(b)  3log_{2}(x) + 2log_{2}(y) 

(c)  log_{2}(3) + log_{2}(x) + log_{2}(y^{2}) 

(d)  log_{2}(3x) log_{2}(y^{2}) 

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

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

(a)  x > 4 

(b)  x < 4 

(c)  x < 6 

(d)  x > 6 

(e)  x < 4 or 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 1 

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

(c)  The set of all numbers 

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

(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 f(g(2))? 

(a)  9 

(b)  7 

(c)  3 

(d)  30 

(e)  23 

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

(a)  0 

(b)  Not defined. 

(c)  3a^{2} + 3 

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

(e)  All of the other answers are incorrect. 

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

(a)  2 > x > 3 

(b)  3 > x > 2 

(c)  2 > x > 3 

(d)  3 > x > 2 

(e)  All of the other answers are incorrect. 

  
17. 


(a)  All of the other answers are incorrect. 

(b)  12 < x < 13 

(c)  13 < x < 12 

(d)  13 < x < 13 

(e)  12 < x < 12 

  
18. 
The inequality 

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

> 0 


is equivalent to: 


(a)  x < 0 

(b)  x > 1 

(c)  x > 0 

(d)  x < 1 

(e)  x is not equal to 1 

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

(a)  x = 2 and y = 1 

(b)  x = 1 and y = 1 

(c)  x = 1 and y = 1 

(d)  x = 1 and y = 1 

(e)  x = 2 and y = 2 

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

(a)  y = 2 

(b)  y = 0 

(c)  Cannot be determined


(d)  y = 1 

(e)  y = 9/4 

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


(a)  Cannot be determined 

(b)  x = 1 

(c)  x = 1 

(d)  x = 2 

(e)  x = 0 

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

(a)  pi/4 

(b)  2(pi/3) 

(c)  pi/2 

(d)  pi 

(e)  pi/3 

  
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^{1/2}) 

(d)  2/3 

(e)  1/2 

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

(a)  cannot be determined 

(b)  0 

(c)  1/2 

(d)  1 

(e)  2 
