\begin{tabular}{l|l} The Distributive Property allows you to & Practice \\ multiply each term inside parentheses by & 1. Expand the expression \( 3.5(-3 n+4) \). \\ a factor that is outside the parentheses. & \\ This mans that you can use the Distributive & 2. Expand the expression \( \frac{3}{5}\left(-8+\frac{5}{9} x-3\right) \) - \\ Property to expand expressions. & Then combine like terms. \\ \( \begin{array}{ll}\text { Frample } & \\ \text { Expand the expression } \frac{1}{4}(h+7) \text {. } & \\ \left(\frac{1}{4} \times h\right)+\left(\frac{1}{4} \times 7\right)=\frac{1}{4} h+1.75 & \end{array} \)\end{tabular}

The Distributive Property is a fundamental concept in mathematics that dates back to the Ancient Greeks and was formalized in the works of mathematicians like Al-Khwarizmi. It forms the backbone of algebraic manipulation, allowing students and professionals alike to simplify expressions and solve equations effectively. When you understand this property, you're essentially unlocking a powerful tool to tackle a wide array of mathematical problems. To put the Distributive Property into real-world context, consider budgeting! Imagine you're planning a party with different expenses: $3.5 for each of 4 guests on snacks and optional drinks. By distributing the $3.5 across the total costs—whether for snacks or drinks—you can easily keep track of your expenses. It’s all about breaking down complex situations into manageable chunks, making financial planning a whole lot easier and a bit more fun!