Sarah solves the equation as shown.
2(x + 3) = 8
1. 2x + 6 = 8
2. 2x = 2
3. x = 1
In which step did Sarah use the distributive property?

a) 1
b) 2
c) 3

Respuesta :

A. because 2× X= 2x, 2×3=6, and equal 8.
The correct answer is:  [A]:  "step 1" . 
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Note the "distributive propertyof multiplication:
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 a(b + c)  =  ab + ac ;  AND:

 a(b − c)  =  ab − ac .
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So:  Given:  " 2(x + 3) = 8 " ;  

Using the "distributive propertyof multiplication:

   " 2(x + 3)   (2*x)   (2*3) ; 

      =  2x + 6 ; 

and rewrite as:  " 2x + 6 = 8 " ;  

which is:  "Step 1" ;  which is:  "Answer choice:  [A]:  "Step 1" .
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