Question

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

Answer 1

The correct answer is: [A]: "step 1" .
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Note the "distributive property" of 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 property" of 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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Answer 2

A. because 2× X= 2x, 2×3=6, and equal 8.