Polynomial Operations Worksheet with Worked Answers

Practise adding, subtracting and multiplying polynomials, with answer choices that gradually give way to independent work.
Year levels
Years 9–10
File type
PDF
Preparation
Print ready

Updated Feb 21, 2024

Subject
Algebra, Maths
Topic
Polynomial Operations, Like Terms
Resource types
Worksheets
Preparation
Print ready
Australian Curriculum content descriptions
AC9M9A02 — simplify algebraic expressions, expand binomial products and factorise monic quadratic…

From the author

About this resource

Polynomial Operations - Levelled Checking Worksheet This maths worksheet allows secondary school algebra students to practise 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 check. 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 12 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.

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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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Australian Curriculum (Version 9.0)

Australian Curriculum content descriptions

Australian Curriculum content descriptions

  • AC9M9A02 — simplify algebraic expressions, expand binomial products and factorise monic quadratic expressions

Core concepts

  • Polynomial Operations

  • Combining Like Terms

  • Distributive Property

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