Which property is illustrated by this statement? \[ 7(x-5)=7 x-35 \] \( \begin{array}{l}\text { Reflexive Property: } a=a \\ \text { Symmetric Property: If } a=b \text {, then } b=a \\ \text { Transitive Property: If } a=b a n d b=c \text {, then } a=c \\ \text { Distributive Property: } a(b+c)=a b+a c\end{array} \) Reflexive Property \( \quad \) Transitive Property Distributive Property

This statement illustrates the Distributive Property, which allows you to multiply a single term by two or more terms inside parentheses. Essentially, it states that when you have a number distributed across a sum or difference, you can multiply it by each term individually and then combine them. So, just as shown, \( 7 \) multiplies both \( x \) and \( -5 \) to produce \( 7x - 35 \)! If you're looking to see the Distributive Property in action beyond math textbooks, think about grocery shopping! When you buy multiple items in bulk (like apples and bananas), you can calculate the total cost by distributing the price across the number of items. For instance, if apples cost $2 each and you buy 3 of them, plus bananas at $1 each for 5, you can calculate it as: \[ 2(3) + 1(5) = 6 + 5 = 11 \] So, the properties you learn in math have practical applications every day!