Question

Identify which expressions are equivalent to the given expression.
2 left parenthesis 4 x plus one half right parenthesis
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Part 1
Which of the following is equivalent to the expression 2 left parenthesis 4 x plus one half right parenthesis
​? Select all that apply.
A.4 x plus one half plus 4 x plus one half
4 x plus one half plus 4 x plus one half
B.8 x plus 1
8 x plus 1
C.8 x plus 2
8 x plus 2

Answer 1

2(4x + 1/2) = 2·4x + 2·(1/2) = 8x + 1.

A is (4x + 1/2) + (4x + 1/2) = 8x + 1, so A and B are equivalent. C (8x + 2) is not.