Algebra 2 Summer Worksheet Page 6

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(
)
(
)
2
(g)   8 − 6
2
(e)   5 ⋅ 5      
(f)  1− 3 5 − 3
 
 
 
 
2
 
 
 
 
_____________    
 
_____________    
 
______________    
 
15.     S implify   e ach   a lgebraic   e xpression.  
 
(
)
(
)
(a)   16c − 10d − 5c + 3d  
− 5n
+ 6n
− 8m  
(c)   4 + 3 x
+ 1
− 2x x − 2
 
(b)   2m
 
 
2
2
2
2
 
 
 
____________________________  
 
_____________________________    
______________________________  
 
16.   S implify   t he   f ollowing:   ( Use   a ny   m ethod.)    
 
(x + 2)(2x − 7)  
(2x − 3)(−x + 6)  
(x − 4)
(a)  
 
(b)  
 
 
 
(c)  
2
 
 
 
 
 
Write   t he   e quations   o f   t he   l ines   b elow   i n   s lope   i ntercept   f orm.   (y = mx + b)  
 
17.   ( a)     T he   l ine   p asses   t hrough   t he   p oint   ( 3,   -­‐ 1)   a nd   h as   a   s lope   o f   2 .   ______________________________  
 
 
 
(b)     T he   l ine   t hat   g oes   t hrough   t he   p oints   ( 2,   -­‐ 4)   a nd   ( -­‐1,   2 )  
 
______________________________  
 
 
 
 
(c)     T he   l ine   t hat     g oes   t hrough   t he   p oint   ( 6,   5 )   a nd   i s   p arallel   a   l ine  
______________________________  
1
 
with   a   s lope   o f  
.  
2
 
 
(d)     T he   l ine   t hat   g oes   t hough   t he   p oint   ( 3,   -­‐ 1)   a nd   i s   p erpendicular    
______________________________  
 
to   a   l ine   t hat   g oes   t hrough   ( 5,   0 )   a nd   ( 2,   3 ).  
 
 
 
 
 
 

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