'Graphs Of Equations, Inequalities, And Functions' Algebra Worksheet Page 2

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Algebra 2: Graphs of Equations, Inequalities, and Functions
Topic   C 6:   L inear   F unctions   |   V ERSION   B  
Name:   _ ___________________________________  
 
1
16. The  equation  −4�� + �� = 6  is  a  linear    
 
11. −3, 1 ;  �� =
2
equation  in  standard  form.  From  this    
   
equation,  answer  the  following:  
a.
Find   t he   y   a nd   x -­‐intercepts:      
12. Find  the  equation  of  the  line  that  passes  through  the  
  �� − intercept:    
3
3
3
  �� −
intercept:  
 
two  points   −1,
 and   −
,
 in  standard  form.  
2
2
4
 
b.
Write   t his   e quation   i n   s lope-­‐intercept   f orm.      
 
13. Find  the  equation  of  the  line  that  passes  through  the  
c.
Is   ( 2,   4 )   a   s olution   t o   t his   e quation?  
3
1
two  points   −1, −8  and  
, −  
in  standard  form.  
 
2
2
 
17. Find  the  equation  of  the  line  perpendicular  to  the  
graph  of  3�� + �� = −5  that  contains  the  point  (3,3).  
14. Use  two  points  on  the  line  to  find  the  equation  of  the  
   
line,  in  standard  form:      
y
To   p roduce   a   t extbook,   s uppose   t he   p ublisher   s pent  
5
$135,000   f or   t ypesetting   a nd   $ 4.50   p er   b ook   f or   p rinting  
4
and   b inding.   T he   t otal   c ost   t o   p roduce   a nd   p rint   n   b ooks  
3
2
can   b e   w ritten   a s   �� = 135,000 + 4.5��.  
1
x
1
2
3
4
5
18. Suppose  the  number  of  books  printed  in  the  first  
printing  was  10,000.  What  is  the  total  cost?    
 
The  total  cost  is  $                                                              
 
19. If  the  average  cost  is  the  total  cost  divided  by  the  
15. The  equation  2�� − 3�� = −7  is  a  linear    
number  of  books  printed,  find  the  average  cost  of  
equation  in  standard  form.  From  this    
producing  10,000  textbooks.    
equation,  answer  the  following:  
 
a.
Find   t he   y   a nd   x -­‐intercepts:      
The  average  cost  of  producing  10,000  textbooks    
  �� −
intercept:      
is  $                                                                      
 
  �� −
intercept:        
 
20. Find  the  cost  to  produce  one  more  textbooks  when  
you  have  already  produced  10,000  textbooks.    
b.
Write   t his   e quation   i n   s lope-­‐intercept   f orm.      
 
 
It  will  cost  $                                              to  produce  one  more  book.  
 
 
c.
Is   ( 2,   4 )   a   s olution   t o   t his   e quation?  
 
      2  
 

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