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Polynomial Operations Worksheet with Worked Answers

Practice adding, subtracting and multiplying polynomials, with answer choices that gradually give way to independent work.
Grades
Grades 9–10, High School
File type
PDF
Preparation
Print ready

Updated Feb 21, 2024

Subject
Math, Algebra
Topic
Polynomial Operations, Like Terms
Resource types
Worksheets & Printables, Worksheets
Preparation
Print ready
Standards
HSA-APR.A.1

About this resource

What's inside this resource

Polynomial Operations - Leveled Checking Worksheet This math worksheet allows high school algebra students to practice polynomial operations at various levels. Students will match their work to an answer bank, determine if proposed solutions are correct, and show their work. The resource features 4 problem sets. Sets A and B have students complete expressions and match to given answers. Set C provides solutions for students to verify. Set D has students complete problems and demonstrate the step-by-step work. Multiple ability levels are covered, making this a differentiated activity that could be used for individual practice, partner work, homework, or assessment. Answer keys are included for teacher reference. With 120 problems total, this checking worksheet offers versatile practice with polynomial operations spanning addition, subtraction, multiplication, and more. Students will build procedural fluency and conceptual understanding of this algebra content.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Simplify polynomial sums, differences and products by distributing and combining like terms.

  • Explain whether a proposed simplified expression is correct.

Teaching tips

  • Ask students to show their working before looking at the answer bank, so a correct match reflects their method rather than elimination.

  • For Set C, have students identify the first step that would produce the proposed error and explain how to correct it.

Good to know

Questions teachers ask about this resource

Does this worksheet include polynomial division?

It covers addition, subtraction and multiplication. Polynomial division is not included.

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Curriculum

Standards, concepts & topics

Standards

  • HSA-APR.A.1 — Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

Core concepts

  • Polynomial Operations

  • Combining Like Terms

  • Distributive Property

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