Factor Finder

Worksheet Description

This worksheet focuses on factoring algebraic expressions using the distributive property. Students are provided with a table that includes original algebraic expressions and are tasked with rewriting these expressions by factoring out the greatest common factor. Each problem requires students to recognize common factors within the terms and apply the distributive property in reverse to simplify the expressions into a factored form. This worksheet is designed to reinforce the concept of factoring as the reverse process of distribution, helping students develop a deeper understanding of how these algebraic techniques are interconnected.

The primary objective of this worksheet is to teach students how to identify and factor out the greatest common factor in algebraic expressions using the distributive property. It emphasizes the importance of understanding how terms in an expression share common factors and how these factors can be factored out to simplify the expression. By working through these problems, students gain a stronger grasp of the relationship between distribution and factoring, which is crucial for solving more complex algebraic equations. This practice enhances students’ problem-solving skills and prepares them for advanced algebraic concepts, such as polynomial factorization and solving quadratic equations.