Free Printable WorksheetMathAlgebra IMath CurriculumA-APR.1 (coherence)

ALG1.98 Simplify Rational Expressions and Identify Excluded Values Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra I Math worksheet provides structured practice on ALG1.98 Simplify Rational Expressions and Identify Excluded Values. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG1.98 Simplify Rational Expressions and Identify Excluded Values - Select the simplified form of rational expressions by factoring and canceling common factors; Identify excluded values and explain why they are not allowed. (CCSS: A-APR.1 (coherence); TEKS: §111.39(c)(10)(C)–(D); VA SOL: A.EO.2 d; FL B.E.S.T.: MA.912.AR.1.4; NY-NGLS: AI-A.SSE.2 (rewriting) connections; CA CCSSM: A-APR connections; MA 2017: HS.A-APR.1 (course model dependent); DoDEA CCRSM; NAEP: Algebra—symbolic manipulation; NCTM P2A: Practices 6, 7.)

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 ALG1.98 Simplify Rational Expressions and Identify Excluded Values skill assessments:

Problem 1Difficulty: Mastery
Capstone: simplify [2x2 + 5x - 3]/[2x2 + 3x - 9] and keep all values excluded by the original denominator.
A(2x - 1)/(2x - 3); excluded values: x != 3/2
B[2x2 + 5x - 3]/[2x2 + 3x - 9]; excluded values: x != -3 and x != 3/2
C(2x - 3)/(2x - 1); excluded values: x != -3 and x != 3/2
D(2x - 1)/(2x - 3); excluded values: x != -3 and x != 3/2
Solution & Explanation:Factor the numerator and denominator and cancel only common factors. The expression simplifies to (2x - 1)/(2x - 3). Excluded values come from the original denominator, so x != -3 and x != 3/2; those values would make the original denominator equal 0.
Problem 2Difficulty: Mastery
The algebra-tile visual shows the shared factor in [x2 - x - 6]/[x2 - 4]. Which answer is complete?
A(x - 3)/(x - 2); excluded values: x != 2
B[x2 - x - 6]/[x2 - 4]; excluded values: x != -2 and x != 2
C(x - 3)/(x - 2); excluded values: x != -2 and x != 2
D(x - 2)/(x - 3); excluded values: x != -2 and x != 2
Solution & Explanation:Factor the numerator and denominator and cancel only common factors. The expression simplifies to (x - 3)/(x - 2). Excluded values come from the original denominator, so x != -2 and x != 2; those values would make the original denominator equal 0.
Problem 3Difficulty: Mastery
Which choice avoids the mistake of excluding a numerator zero for [x2 + 5x + 6]/[x2 + 4x + 3]?
A(x + 2)/(x + 1); excluded values: x != -1
B(x + 2)/(x + 1); excluded values: x != -3 and x != -1
C[x2 + 5x + 6]/[x2 + 4x + 3]; excluded values: x != -3 and x != -1
D(x + 1)/(x + 2); excluded values: x != -3 and x != -1
Solution & Explanation:Factor the numerator and denominator and cancel only common factors. The expression simplifies to (x + 2)/(x + 1). Excluded values come from the original denominator, so x != -3 and x != -1; those values would make the original denominator equal 0.

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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-APR.1 (coherence) (Primary standard selected for prompt fields in this prompt cell: CCSS A-APR.1 (coherence). Skill statement in this prompt cell: Select the simplified form of rational expressions by factoring and canceling common factors; Identify excluded values and explain why they are not allowed. Associated standards listed with this skill in the curriculum source: CCSS: A-APR.1 (coherence); TEKS: §111.39(c)(10)(C)–(D); VA SOL: A.EO.2 d; FL B.E.S.T.: MA.912.AR.1.4; NY-NGLS: AI-A.SSE.2 (rewriting) connections; CA CCSSM: A-APR connections; MA 2017: HS.A-APR.1 (course model dependent); DoDEA CCRSM; NAEP: Algebra—symbolic manipulation; NCTM P2A: Practices 6, 7. Use this prompt-provided wording as the supporting standard description for this workflow.).

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