pdf Simplifying Expressions

This worksheet reinforces simplifying algebraic expressions by combining like terms and applying the distributive property, with an added emphasis on checking work through substitution. Students expand expressions that include parentheses, negative signs, and multiple operations, then rewrite each expression in simplest form. After simplifying, students substitute a value of 1 into both the original expression and the simplified expression to verify equivalence, reinforcing conceptual understanding rather than rote procedures.

Expressions include cases such as subtracting grouped terms and distributing through parentheses, helping students develop accuracy with signs and structure. For example, students simplify expressions like \(6c - (4 - 3c) + 8\) and \(-8w + 3(w + 5)\), then confirm that their simplified results are equivalent by substitution. This verification step helps students see simplification as a reasoning process and not just a mechanical step.

Skills Assessed

• Applying the distributive property

• Combining like terms

• Simplifying algebraic expressions with parentheses and negatives

• Verifying equivalent expressions using substitution

Details

• Practice worksheet format

• Includes a built-in check for correctness using substitution

• Emphasizes structure, accuracy, and algebraic reasoning

ID# 0176