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Instructor Overview

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 1a, 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.