

1. 
Suppose a lumber mill can turn out up to 900 units of product each week. The mill must produce at least 100 units of lumber and 400 units of plywood. Write the constraints as a system of inequalities where x = the number of units of lumber and y = the number of units of plywood. 


A. 
x 100, y 400, and x + y 900 


B. 
x 100, y 400, and x + y 900 


C. 
x 100, y 400, and x + y 900 


D. 
x 100, y 400, and x + y 900 


Hint 


2. 
Use the unit circle to find the value of cos 120°. 


A. 
2 
B. 



C. 

D. 



Hint 


3. 
Find sin 5 by referring to the graph of the sine function. 





A. 
1 
B. 
1 


C. 

D. 
0 


Hint 


4. 
Use the sum or difference identity for sine to find the exact value of sin 375°. 


A. 

B. 



C. 

D. 



Hint 


5. 
Write as a sum of unit vectors for A(3, 1) and B(8, 6). 


A. 

B. 



C. 

D. 



Hint 


6. 
Simplify (2 – 3i) ÷ (1 + i). 


A. 

B. 



C. 

D. 



Hint 


7. 
Graph y = log_{10} (x + 3). 


A. 

B. 



C. 

D. 



Hint 


8. 
0!=_____? 


A. 

B. 
0 


C. 
undefined 
D. 
1 


Hint 


9. 
How many ways can 5 people be seated at a round table? 


A. 
48 
B. 
120 


C. 
24 
D. 
240 


Hint 


10. 
The probability of being accepted to attend City College is . What are the odds against being accepted? 


A. 

B. 



C. 

D. 



Hint 


11. 
Francis guesses at all 6 true/false questions in a trivia game. What is the probability that he guesses correctly on at least 5 of the questions? 


A. 

B. 



C. 

D. 



Hint 


12. 
What is the value of n so that the mean of {n, 3n  1, 3n, 3n + 1} is 10? 


A. 
7 
B. 
4 


C. 
6 
D. 
2 


Hint 


13. 
Find a linear equation that can be used as a model for the data shown. 





A. 

B. 



C. 

D. 



Hint 


14. 
Solve 4 sin^{2} x + 3 = 4 for principal values of x. Express solutions in radians. 


A. 
, 
B. 
, 


C. 
, 
D. 
, 


Hint 


15. 
Find the principal fourth root of 256i. Leave the result in polar form. 


A. 

B. 



C. 
4 
D. 
4 (cos 0 + i sin 0) 


Hint 


16. 
The population of a certain city can be modeled by the equation y = 22,219e^{0.027t}, where t is the number of years since 1946. What was the population of that city in 1978? 


A. 
52,718 
B. 
40,243 


C. 
49,946 
D. 
47,321 


Hint 


17. 
Which statement would be most logically proven using mathematical induction. 


A. 
The series converges. 


B. 
Every polynomial has at least one complex root. 


C. 
for all integers n 


D. 
When two parallel lines are cut by a transversal, opposite interior angles are congruent. 


Hint 


18. 
A bag contains 6 blue marbles and 2 brown marbles. One marble is randomly drawn and discarded. Then a second marble is drawn. Find the probability that the second marble is blue given that the first marble drawn was blue. 


A. 

B. 



C. 

D. 



Hint 


19. 
Kathy guesses at all of the 10 questions on a multiple choice exam. Find the probability that she gets 3 questions correct if each question has 5 choices. 


A. 
0.1124 
B. 
0.2013 


C. 
0.1556 
D. 
0.1843 


Hint 


20. 
The following is a frequency table of the ages of all the residents in the town of Mt. Plaines. Find the standard deviation of the data. 





A. 
27.08 
B. 
28.51 


C. 
27.56 
D. 
27.93 


Hint 

