Free Printable WorksheetMathAlgebra IMath CurriculumN-RN.1–2 (limited to foundations in Algebra 1 course models)

ALG1.97 Operations with Radical Expressions Answer Key Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra I Math worksheet provides structured practice on ALG1.97 Operations with Radical Expressions Answer Key. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG1.97 Operations with Radical Expressions - Select the correct sum for subtract, and multiply radical expressions and simplify results; Select the option that shows how to apply properties of radicals to combine like radicals correctly. (CCSS: N-RN.1–2 (limited to foundations in Algebra 1 course models); TEKS: §111.39(c)(10)(D) (radicals/sequences mentioned in intro), (8) Radical expressions (districts vary); VA SOL: A.EO.4 a–d; FL B.E.S.T.: MA.912.F.1.1–1.3 (function types include √x, ³√x), MA.912.AR.1.* (foundational algebraic manipulation); NY-NGLS: AI-F.IF.7b (√x), AI-N.Q.* (precision); CA CCSSM: F-IF.7b connections; MA 2017: HS.N-RN.1–2 (in Algebra I model as foundations); DoDEA CCRSM; NAEP: Algebra—number properties; 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 ALG1.97 Operations with Radical Expressions Answer Key skill assessments:

Problem 1Difficulty: Mastery
Which choice is equal to 2*sqrt(3)?
Asqrt(48) + sqrt(12)
Bsqrt(45) - sqrt(5)
Csqrt(20) - sqrt(5)
Dsqrt(75) - sqrt(27)
Solution & Explanation:sqrt(75) - sqrt(27) = 5*sqrt(3) - 3*sqrt(3) = 2*sqrt(3). The other choices simplify to different radical terms.
Problem 2Difficulty: Mastery
Simplify (sqrt(2) + sqrt(18) + sqrt(50))*sqrt(2).
A9*sqrt(2)
B18*sqrt(2)
C18
D20
Solution & Explanation:Inside the parentheses, sqrt(2) + sqrt(18) + sqrt(50) = 1*sqrt(2) + 3*sqrt(2) + 5*sqrt(2) = 9*sqrt(2). Multiplying by sqrt(2) gives 18.
Problem 3Difficulty: Mastery
Which subtraction statement is correct?
Asqrt(72) - sqrt(18) = sqrt(54)
Bsqrt(72) - sqrt(18) = 3*sqrt(2)
Csqrt(72) - sqrt(18) = 9*sqrt(2)
Dsqrt(72) - sqrt(18) = 3*sqrt(54)
Solution & Explanation:sqrt(72) = 6*sqrt(2), and sqrt(18) = 3*sqrt(2). Their difference is 3*sqrt(2).

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

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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 N-RN.1–2 (limited to foundations in Algebra 1 course models) (Students add, subtract, multiply, and simplify radical expressions by applying properties of radicals and combining like radicals. Associated standards include CCSS N-RN.1-2 as applied in Algebra I course models, with related state and local algebraic-manipulation standards as applicable.).

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