🧠 Factoring: Show Your Thinking (A-SSE.A.2)

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Use the structure of an expression to rewrite it (factoring). Solve each problem and show your work.

1. Factor: x² + 7x + 12

Show your work

2. Factor: 6x² − 12x − 90

Show your work

3. Factor: x² − 49

Show your work

4. Factor: x²x − 49

Show your work

5. Factor: 5x² + 75x + 280

Show your work

6. Factor: x² − 9

Show your work

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

Answer key: 1) (x + 4)(x + 3) · 2) 6(x − 5)(x + 3) · 3) (x + 7)(x − 7) · 4) (x + 7)(x − 7) · 5) 5(x + 7)(x + 8) · 6) (x + 3)(x − 3)

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Worksheets › Grade 9 Math (Algebra I) › Factoring › Factoring

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

About this grade 9 worksheet

Free Grade 9 Algebra I math worksheet (Common Core A-SSE.A.2): factoring — problems with space to show work and explain reasoning, with answer key. Skill: Use the structure of an expression to rewrite it (factoring). Level: Grade 9 — also suits Year 10 (UK).

For teachers: skills & standards

CCSS A-SSE.A.2: Use the structure of an expression to rewrite it (factoring)
Works as a morning-work page, a centre/station activity, homework or an early-finisher task.

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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?

Use the structure of an expression to rewrite it (factoring).

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More “Factoring” printables (a-sse.a.2: use the structure of an expression to rewrite it (factoring))

Factoring: Practice A (A-SSE.A.2) · Factoring: Practice B (A-SSE.A.2) · Factoring: Mixed Practice & Reasoning (A-SSE.A.2) · Factoring: Quick Check (A-SSE.A.2)

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

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