pdf Using The Distributive Property To Simplify Expressions - Working With Negatives

Tagged in 7.EE, 7.EE.A.1, 7th grade, algebraic expressions, combining like terms, distributive property, expression structure, integer operations, simplifying expressions, working with negatives

Using The Distributive Property To Simplify Expressions - Working With Negatives

This worksheet provides focused practice with applying the distributive property in situations that involve negative values inside and outside of parentheses. Students expand each expression by multiplying the factor outside the parentheses by every term inside, then simplify by combining like terms. The consistent inclusion of negatives requires careful attention to sign changes, helping students build accuracy and confidence with more challenging distributive property problems.

Expressions include cases such as multiplying a negative through grouped terms and distributing across subtraction, reinforcing the idea that the distributive property applies universally, not just in simple positive-number examples. By repeatedly working through expressions like \(-2(x - 6)\) or \(15(x - 10)\), students strengthen their understanding of structure, integer operations, and algebraic reasoning.


Skills Assessed

  • Applying the distributive property

  • Working with negative integers in algebraic expressions

  • Combining like terms after distribution

  • Simplifying linear expressions


Details

  • Practice worksheet format

  • Emphasizes sign accuracy and algebraic structure

  • Designed for reinforcement or skill-building practice

ID# 0688