pdf Simplify Using The Distributive Property

This worksheet provides focused practice with the distributive property by having students expand expressions of the form \(a(b + c)\) and \(a(b - c)\). Students multiply a factor outside the parentheses by each term inside, then rewrite the expression without parentheses. The goal is to build fluency with distribution as a structural process rather than a memorized shortcut.

Problems progress through a wide range of numeric expressions, allowing students to repeatedly apply the same reasoning in varied contexts. For example, students simplify expressions such as \(5(x + 12)\) by rewriting it as \(5x + 60\), and \(7(x - 4)\) by rewriting it as \(7x - 28\). This repetition helps reinforce accuracy, sign awareness, and consistency when applying the distributive property.

Skills Assessed

• Applying the distributive property

• Expanding algebraic expressions

• Multiplying variables by constants

• Rewriting expressions without parentheses

Details

• Practice worksheet format

• Single-step distributive property problems

• Emphasizes structure and procedural fluency

ID# 0013