Solving Equations Using the Multiplication Principle


Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

What does the multiplication principle tell you?

Create Your Account To Take This Quiz

As a member, you'll also get unlimited access to over 79,000 lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

Try it risk-free
Try it risk-free for 30 days. Cancel anytime
Already registered? Log in here for access



3x = 9



x/6 = 3

Create your account to access this entire worksheet
A Premium account gives you access to all lesson, practice exams, quizzes & worksheets
Access to all video lessons
Quizzes, practice exams & worksheets
Certificate of Completion
Access to instructors
Create an account to get started Create Account

About This Quiz & Worksheet

Understanding the multiplication principle is essential to understanding algebra, and this quiz/worksheet combo will help test your understanding of this important principle. These assets will provide you with some equations that you will need to solve.

Quiz & Worksheet Goals

In these assessments you'll be tested on:

  • The definition of the multiplication principle
  • Solving equations by using the multiplication principle

Skills Practiced

  • Problem solving - use acquired knowledge to solve basic equations using the Multiplication Principle
  • Making connections - use understanding of the concept of 'balancing the scales' to understand that a person should multiply or divide on both sides of the equation depending on the problem
  • Information recall - access the knowledge you've gained regarding opposites in determining whether to multiply or divide on either side of the equation

Additional Learning

Read the lesson, Solving Equations Using the Multiplication Principle, to learn more about this topic. The lesson has the following objectives:

  • Define the multiplication principle
  • Explore how to use the multiplication principle
  • Walk through several examples of the multiplication principle
  • Understand that if you divide or multiply on one side you need to do so on the other side of the equation in order to balance the equation
  • Understand that idea of opposites, in that if the variable is being divided by the known then you need to multiple and vice versa