# Problem Solving Exercise

Student View (Opens in new window) # Lesson Overview

Students practice solving equations using either the addition or the multiplication property of equality.

# Key Concepts

Students will solve equations of the form x + p = q using the addition property of equality.

They will solve equations of the form px = q using the multiplication property of equality.

They will need to look at the variable and decide what operation must be performed on both sides of the equation in order to isolate the variable on one side of the equation.

If a number has been added to the variable, they will subtract that number from both sides of the equation. If a number has been subtracted from the variable, they will add that number to both sides of the equation. If the variable has been multiplied by a number, students will either divide both sides of the equation by that number or multiply by the reciprocal of that number. If the variable has been divided by a number, students will multiply by that number. Students will see how this can be applied to solving a proportion such as $\frac{x}{c}=\frac{a}{b}$.

# Goals and Learning Objectives

• Practice solving equations using either the addition or the multiplication property of equality.
• Distinguish between equations that can be solved using the addition property of equality from equations that can be solved using the multiplication property of equality.
• Solve a proportion by solving an equation.