Question

Which of the following expressions has the same value as 4(x+3) / 2?

1) 2(x+3)
2) 4x+6
3) 2x+6
4) 2x+3

Answer 1

The expression 4(x+3) / 2 simplifies to 2(x+3), which further simplifies to 2x + 6. Thus, option 3) is the correct answer.

Step-by-step explanation:

The expression 4(x+3) / 2 can be simplified by distributing the multiplication or by simplifying the fraction first. Let's simplify the fraction first since 4 can be divided by 2, which gives us:

4(x+3) / 2 = 2(x+3)

Now that the expression is simplified, we can distribute the 2 inside the parentheses to get:

2(x+3) = 2x + 2(3) = 2x + 6

Therefore, the expression 2x + 6 has the same value as 4(x+3) / 2, and the correct answer to the student's question is option 3).