Use the equation  Max =  1 2(x + y + |x − y|)  to answer the following questions. Recall that  |a|  means the absolute value of a number. (a) Evaluate the equation for x = 10 and y = 7.   (b) Evaluate the equation for x = 11 and y = 6.   (c) Evaluate the equation for x =  −5  and y =  −8.   (d) Evaluate the equation for x =  −9  and y =  4.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter5: Solving Systems Of Linear Equations
Section: Chapter Questions
Problem 7CA
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Use the equation 
Max = 
1
2
(x + y + |x − y|)
 to answer the following questions. Recall that 
|a|
 means the absolute value of a number.

(a)

Evaluate the equation for x = 10 and y = 7.
 

(b)

Evaluate the equation for x = 11 and y = 6.
 

(c)

Evaluate the equation for x = 
−5
 and y = 
−8.
 

(d)

Evaluate the equation for x = 
−9
 and y = 
4.
 
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