pdf Simplifying Expressions

This worksheet provides structured practice with simplifying algebraic expressions by combining like terms and applying the distributive property. Students work through expressions that include multiple variables and constants, reinforcing the skill of grouping like terms before rewriting each expression in simplest form. Early problems focus on identifying and combining like terms, while later problems require distribution followed by simplification.

Several problems require students to manage multi-step expressions, helping them see simplification as a process rather than a single action. For example, an expression such as \(8x + 9y - 4x\) simplifies by grouping like terms, while expressions like \(5(3x + 7)\) require applying the distributive property before combining terms. This progression supports fluency, accuracy, and algebraic reasoning.

Skills Assessed

• Combining like terms

• Simplifying algebraic expressions

• Applying the distributive property

• Working with multi-variable expressions

Details

• Practice worksheet format

• Includes both single-step and multi-step simplification

• Focuses on symbolic manipulation rather than evaluation

ID# 0177