Power of X

This distributive property worksheet builds student fluency with simplifying algebraic expressions that include variables and a wide range of coefficients. Learners apply distribution with positive, negative, and fractional multipliers, then combine like terms to fully simplify each expression-an essential pre-algebra skill.

Instructional Objectives

• Skill Focus (Grades 6-8): Distribute coefficients across variable expressions using whole numbers, negatives, and fractions.
• Conceptual Understanding (Grades 6-8): Reinforce the idea that the Distributive Property applies consistently, regardless of coefficient type or expression complexity.
• Algebraic Reasoning (Grades 7-8): Strengthen symbolic reasoning by identifying like terms and simplifying expressions after distribution.
• Curriculum Alignment (Grades 6-8): Supports expressions and equations standards related to simplifying algebraic expressions, rational number operations, and structural reasoning.

Problems are intentionally structured to expose students to different ways distribution interacts with subtraction, negative signs, and variable groupings. By comparing expression forms, learners deepen their understanding of how algebraic structure affects simplification while reducing common sign and combination errors.

Learning Benefits

• Ideal for pre-algebra instruction, review, or skill reinforcement
• Works well for guided practice, independent work, math centers, or intervention groups
• Encourages careful attention to coefficients, signs, and term structure
• Builds strong symbol fluency needed for solving equations and advanced algebra topics

This printable worksheet provides targeted practice that helps students confidently distribute, combine like terms, and simplify algebraic expressions-making it a strong instructional tool for both classroom and homeschool settings.

This worksheet is part of our Distributive Property Worksheets collection.