Question

A teacher asks a class to write x + 8 in another way. Three of the answers are: i 1/4(x+ 8). ii x + 2 iii. 1/4x + 2. which of the answers are correct

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Answer 1

All three answers are correct, but they represent different algebraic expressions that are equivalent to x + 8.

Explanation:

i) 1/4(x + 8) is equivalent to x/4 + 2. This expression distributes the 1/4 coefficient to both terms inside the parentheses.

ii) x + 2 is equivalent to 1x + 2. This expression simplifies x + 8 by subtracting 6 from the constant term.

iii) 1/4x + 2 is equivalent to 2 + 1/4x. This expression rearranges the terms in x + 8 to separate x from the constant term.

Therefore, the students who provided any of these answers demonstrated a correct understanding of algebraic expressions.