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CCSS HSA-APR.A.1 Worksheets

Algebra 1 · Arithmetic with Polynomials & Rational Expressions

Understand that polynomials form a system analogous to the integers: they are closed under addition, subtraction and multiplication. Add, subtract and multiply polynomials.

Below are free printable worksheets that support HSA-APR.A.1. Print them as PDFs, or generate a fresh one. Every math answer key is computed in code, so it is never wrong.

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Deliver a whole lesson on HSA-APR.A.1 from a textbook-grade teaching unit, with a hook, worked examples, diagrams, misconceptions, and an exit ticket.

Adding, subtracting and multiplying polynomials
Algebra 1 (commonly taken Grades 8 to 10)

Teaching guide

What students learn

Understand that polynomials form a system analogous to the integers: they are closed under addition, subtraction and multiplication. Add, subtract and multiply polynomials.

Worked example
Simplify: (-6x³ - 4x² - 9x + 7) + (-x³ - x² + x + 8)
Answer: -7x³ - 5x² - 8x + 15
Why: Combine like terms by degree: x³ terms: -6 + (-1) = -7; x² terms: -4 + (-1) = -5; x terms: -9 + (1) = -8; constant terms: 7 + (8) = 15. Result: -7x³ - 5x² - 8x + 15.

Generated and checked in code, so it is correct.

Algebra worksheets

All algebra worksheets →
Algebra 1 Algebra
Set A · PDF · answer key with Pro

Algebra worksheets

All algebra worksheets →
Algebra 1 Algebra
Set A · PDF · answer key with Pro
Make a worksheet for HSA-APR.A.1
More Algebra 1 standards: HSA-REI.B.4.a · HSA-REI.B.4.b · HSF-LE.A.1.a · HSF-LE.A.1.c · HSF-LE.A.2 · HSN-RN.A.1 · HSN-RN.A.2
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