Question

Use properties of operations to complete the equivalent expression.
​4(y+2)= __y+___

Answer 1

To complete the equivalent expression 4(y+2), distribute the 4 to both terms inside the parentheses by multiplying 4 with y and 4 with 2 separately.

Step-by-step explanation:

To complete the equivalent expression 4(y+2), we need to distribute the 4 to both terms inside the parentheses. This can be done by multiplying 4 with y and 4 with 2 separately.

4(y+2) = 4y + 8

So, the equivalent expression is 4y + 8.

To complete the expression 4(y + 2) using the distributive property, we multiply each term inside the parentheses by 4, resulting in the equivalent expression 4y + 8.

The student is asking to use properties of operations--specifically the distributive property--to expand the expression 4(y + 2). The distributive property tells us that to multiply a sum by a number, you multiply each addend of the sum by the number. Thus, the equivalent expression after using the distributive property is:

4(y + 2) = 4 × y + 4 × 2

Now, performing the multiplication:

4(y + 2) = 4y + 8

The completed equivalent expression is 4y + 8.