Free Printable WorksheetMathAlgebra IMath CurriculumA-SSE.2, A-SSE.3a

ALG1.81 Rewrite Expressions to Reveal Features Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra I Math worksheet provides structured practice on ALG1.81 Rewrite Expressions to Reveal Features. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG1.81 Rewrite Expressions to Reveal Features - Select the rewritten form of expressions to reveal structure such as common factors or difference of squares; Select the statement that correctly interprets how the rewritten form helps solve or analyze a problem. (CCSS: A-SSE.2, A-SSE.3a; A-APR.1; TEKS: §111.39(c)(10)(A–C), (10)(E) (difference of squares); VA SOL: A.EO.2b–e; FL B.E.S.T.: MA.912.AR.1.3, 1.4, 1.7; NY-NGLS: AI-A.SSE.2; CA CCSSM: A-SSE, A-APR; MA 2017: HS.A-SSE.2, HS.A-APR.1; DoDEA CCRSM; NAEP: Algebra—symbolic manipulation; NCTM P2A: Practices 7, 8.)

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Algebra I

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related ALG1.81 Rewrite Expressions to Reveal Features skill assessments:

Problem 1Difficulty: Mastery
True or False: Rewriting x2 - 18x + 81 as (x - 9)2 helps show that x2 - 18x + 81 = 0 has exactly one solution, x = 9.
ATrue
BFalse
Solution & Explanation:The expression is a perfect square trinomial. The square (x - 9)2 equals zero only when x = 9, so the equation has one repeated solution.
Problem 2Difficulty: Mastery
A visual proof of x2 - 9 rearranges a square of side x with a 3-by-3 square removed into a rectangle. Which dimensions does the factored form reveal?
Ax - 9 and x + 1
B3 and x - 3
Cx - 3 and x - 3
Dx - 3 and x + 3
Solution & Explanation:The area x2 - 9 is x2 - 32, so it factors as (x - 3)(x + 3). Those are the rectangle dimensions after rearranging.
Problem 3Difficulty: Mastery
A revenue model is R(q) = -q2 + 12q - 32. Which factored form correctly helps analyze when revenue is positive?
A-(q + 4)(q + 8)
B(q - 4)(q - 8)
C-q(q - 12) - 32q
D-(q - 4)(q - 8)
Solution & Explanation:Factoring out -1 gives -(q2 - 12q + 32), and the trinomial factors as (q - 4)(q - 8). This shows zeros at 4 and 8 and helps analyze signs between them.

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Frequently Asked Questions

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Algebra I Math students. It aligns with educational standard A-SSE.2, A-SSE.3a (Primary standard selected for prompt fields in this prompt cell: CCSS A-SSE.2, A-SSE.3a. Skill statement in this prompt cell: Select the rewritten form of expressions to reveal structure such as common factors or difference of squares; Select the statement that correctly interprets how the rewritten form helps solve or analyze a problem. Associated standards listed with this skill in the curriculum source: CCSS: A-SSE.2, A-SSE.3a; A-APR.1; TEKS: §111.39(c)(10)(A–C), (10)(E) (difference of squares); VA SOL: A.EO.2b–e; FL B.E.S.T.: MA.912.AR.1.3, 1.4, 1.7; NY-NGLS: AI-A.SSE.2; CA CCSSM: A-SSE, A-APR; MA 2017: HS.A-SSE.2, HS.A-APR.1; DoDEA CCRSM; NAEP: Algebra—symbolic manipulation; NCTM P2A: Practices 7, 8. Use this prompt-provided wording as the supporting standard description for this workflow.).

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