# Applying Multiplication Properties

Student View (Opens in new window) # Lesson Overview

Students apply the multiplication property of equality to solve equations.

# Key Concepts

In the previous lesson, students solved equations of the form x + p = q using the addition property of equality. In this lesson, they will solve equations of the form px = q using the multiplication property of equality. They will multiply or divide both sides of an equation by the same number to obtain an equivalent equation.

Since multiplication by a is equivalent to division by $\frac{1}{a}$, students will see that they may also divide both sides of the equation by the same number to get an equivalent equation. Students will also apply this property to solving a particular kind of equation, a proportion.

# Goals and Learning Objectives

• Use the multiplication property of equality to keep an equation balanced.
• Use the multiplication property of equality to solve equations of the form px = q for cases in which p, q, and x are all non-negative rational numbers.
• Use the multiplication property of equality to solve proportions.