Missing Factors PEMDAS

This order of operations worksheet helps students strengthen algebraic reasoning by finding missing factors that make multi-step expressions true. Learners evaluate the known parts of each expression using PEMDAS, then determine which number completes the equation correctly, reinforcing structural understanding and balance.

Instructional Objectives

• Skill Focus (Grades 6-7): Determine missing factors in multi-step expressions by applying the correct order of operations.
• Conceptual Understanding (Grades 6-7): Understand how multiplication and subtraction interact within structured expressions to maintain equality.
• Algebraic Reasoning (Grades 6-7): Isolate unknown values and reason backward to complete equations accurately.
• Curriculum Alignment (Grades 6-7): Supports algebraic thinking, expression evaluation, abstract reasoning, and foundational equation-solving standards.

Students must carefully analyze each expression, apply PEMDAS consistently, and think about how values relate rather than relying on guesswork. This emphasis on structure helps learners transition from arithmetic procedures to early equation-solving concepts.

Learning Benefits

• Builds strong foundations for solving equations
• Encourages critical thinking and reverse reasoning
• Reinforces understanding of expression structure and balance
• Effective for small groups, math centers, or targeted skill practice

This printable worksheet provides meaningful practice that helps students confidently solve missing-factor problems while deepening their understanding of order of operations and algebraic structure.

This worksheet is part of our 3-Step Order of Operations Worksheets collection.