# Multiplication Principle Worksheets

What is the Multiplication Principle of Algebra? When you are solving algebraic problems, you are mostly asked to find the values of the unknown variable. However, there are times when there is a coefficient attached to the concerned variable of the problem. In such circumstances, we use the multiplication principle of algebra. The multiplication principle states that to remove the coefficient from the equation or the concerned variable, you have to multiply both sides of the equation by the multiplication inverse of the coefficients or in other words, divide both sides by the same value. Let's take a few examples. 5x = 25. Now, the multiplication inverse of 5 is ⅕ , so you can multiply the whole equation by it. ⅕ 5x = 25 ⅕, x=5, 6/5 x=18 The multiplication inverse of 6/5 is ⅚. Therefore, we'll multiply the whole equation by it. ⅚ × 6/5 x = ⅚ × 18 x=15.

• ### Basic Lesson

Solve for x. 3x = 24. Transfer 3 from right side and divide 24 by 3.

• ### Intermediate Lesson

Explains how to solve fractional equations with the multiplication principle. Practice problems are provided.

• ### Independent Practice 1

Solve for each variable. The answers can be found below.

• ### Independent Practice 2

Features another 20 Multiplication Principle problems.

• ### Homework Worksheet

12 Multiplication Principle problems for students to work on at home. Example problems are provided and explained.

• ### Topic Quiz

10 Multiplication Principle problems. A math scoring matrix is included.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.