Adding, Subtracting, and Multiplying Polynomials – Algebra 2 CCSS Practice

This Algebra 2 worksheet focuses on Adding, Subtracting, and Multiplying Polynomials and is fully aligned to Common Core State Standards HSA.APR.A.1 and HSF.BF.A.1.B. Designed to reinforce core polynomial skills and deepen conceptual understanding, this resource is ideal for classroom instruction, independent practice, homework, or sub plans.

The worksheet is scaffolded to build skills from foundational vocabulary to higher-level applications and includes over 60 practice problems. With a balance of procedural fluency and real-world connection, it supports your students’ success in mastering polynomial operations.

Key Features:

• Editable Format – 100% customizable to meet your classroom’s pacing and needs
• Includes Answer Key – Save time with complete, clear solutions
• Structured for 90–120 minutes of practice – Perfect for classwork, homework, or review
• Clear Section Labeling – Organized to build progressively through each concept

Worksheet Breakdown:

Part A: Warm-Up & Vocabulary Review

• Definitions of key terms: polynomial, monomial, binomial, trinomial, degree, leading coefficient, and standard form
• 5 prerequisite skill questions to activate prior knowledge

Part B: Adding & Subtracting Polynomials

• 10 problems involving combining like terms and simplifying

Part C: Multiplying Monomials by Polynomials

• 10 problems to reinforce distribution and exponent rules

Part D: Multiplying Binomials

• 10 FOIL-based expressions for expansion and simplification

Part E: Multiplying Trinomials and Multi-Term Polynomials

• 10 advanced problems requiring step-by-step polynomial multiplication

Part F: Application & Function-Based Problems

• 10 real-world and algebraic modeling tasks, including area, volume, and function operations

Standards Alignment:

• HSA.APR.A.1 – Understand that polynomials form a system closed under addition, subtraction, and multiplication
• HSF.BF.A.1.B – Build new functions by combining standard function types using arithmetic operations

Recommended Uses:

• Algebra 2 units on polynomial functions
• Pre-assessment and post-assessment practice
• Review days and intervention sessions
• Homework or independent learning stations
• Substitute teacher lesson plans

This resource was created with flexibility and classroom rigor in mind. Whether you're introducing the topic or reinforcing key skills, this worksheet provides comprehensive support for your students—while saving you valuable prep time.

Download includes:

• Fully editable worksheet (Word or Google Docs format)
• Detailed answer key for all sections

Terms of Use: This resource is licensed for use by one teacher in one classroom. Please do not share, distribute, or post this resource online. If another teacher would like to use it, please direct them to purchase their own copy. Thank you for supporting Minute Math!