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2. algebra tiles were used to model the expression ( 3(x + 2) ). which …

Question

  1. algebra tiles were used to model the expression ( 3(x + 2) ).

which expression is equivalent to ( 3(x + 2) )?
a. ( 3x + 6 )
b. ( 3x + 2 )
c. ( x + 6 )
d. ( 6x )

Explanation:

Step1: Apply distributive property

$3(x + 2) = 3\times x + 3\times2$

Step2: Calculate each term

$3\times x = 3x$, $3\times2=6$

Step3: Combine the terms

$3x + 6$

Answer:

a. $3x + 6$