🧠 Polynomial Operations: Show Your Thinking (A-APR.A.1)

Paginepagineapp.com

Name:

Date:

Add, subtract and multiply polynomials. Solve each problem and show your work.

1. (5x² − 5x − 3) + (3x² − 9x + 6)

Show your work

2. (6x + 2)(5x − 6)

Show your work

3. (2x² − 9x + 3) + (3x² − 2x)

Show your work

4. (2x − 4)(x − 3)

Show your work

5. (5x² − 3x + 2) + (4x² + 6x + 1)

Show your work

6. (2x − 7)(5x − 2)

Show your work

Explain: How did you solve problem 1? Could you check it another way?

Answer key: 1) 8x² − 14x + 3 · 2) 30x² − 26x − 12 · 3) 5x² − 11x + 3 · 4) 2x² − 10x + 12 · 5) 9x² + 3x + 3 · 6) 10x² − 39x + 14

Love free resources? The free Pagine app tracks the books your child reads — kids earn streaks & badges. 📚 App Store · Google Play

← All worksheets

Free to print & share · pagineapp@mwamb.compagineapp.com

Worksheets › Grade 9 Math (Algebra I) › Polynomial Operations › Polynomial Operations

Grade 9 (ages 14–15)Numbers & mathsFree printable PDF

About this grade 9 worksheet

Free Grade 9 Algebra I math worksheet (Common Core A-APR.A.1): polynomial operations — problems with space to show work and explain reasoning, with answer key. Skill: Add, subtract and multiply polynomials. Level: Grade 9 — also suits Year 10 (UK).

For teachers: skills & standards

CCSS A-APR.A.1: Add, subtract and multiply polynomials
Works as a morning-work page, a centre/station activity, homework or an early-finisher task.

Frequently asked questions

Is this worksheet free?

Yes — it is free to print for home or the classroom. Sign in with a free Pagine account, then use the Print button or save it as a PDF.

What age is it for?

It is designed for Grade 9 (ages 14–15), but use it with any child who is ready.

What skills does it build?

Add, subtract and multiply polynomials.

Where can I find grade 9 books to read with it?

Pagine's free library has 20,000+ children's books you can read in the Pagine e-reader or the free Pagine app — sorted by age and grade, with free audiobooks too.

More “Polynomial Operations” printables (a-apr.a.1: add, subtract and multiply polynomials)

Polynomial Operations: Practice A (A-APR.A.1) · Polynomial Operations: Practice B (A-APR.A.1) · Polynomial Operations: Mixed Practice & Reasoning (A-APR.A.1) · Polynomial Operations: Quick Check (A-APR.A.1)

All 5 polynomial operations sheets → · Grade 9 Math (Algebra I): all 10 skills → · All Common Core grades

📚 Read along: 20,000+ free books in the Pagine e-reader

Pair this grade 9 worksheet with a story. Pagine's free library has 20,000+ children's books — classic novels, drama, poetry and non-fiction, classics and free audiobooks — that you can read right in the Pagine e-reader on any phone, tablet or computer, with adjustable text size and night mode. No ads.

Browse free grade 9 books → · Grade 9 reading level · Free audiobooks · High school reading list

📱 Get the free Pagine app — log every book your child reads (scan the barcode or search), set reading goals, and watch streaks and badges grow. Download on the App Store · Get it on Google Play