Free Printable WorksheetMathAlgebra IIMath CurriculumALG2.142

ALG2.142 Solving Radical Equations Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra II Math worksheet provides structured practice on ALG2.142 Solving Radical Equations. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG2.142 Solving Radical Equations - Practice questions for Solving Radical Equations.

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 II

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 ALG2.142 Solving Radical Equations skill assessments:

Problem 1Difficulty: Mastery

Solve for x: ⁴√(x + 81) = √(x + 9)

Solution & Explanation:Raise both sides to the 4th power: x + 81 = (√(x + 9))⁴ = (x + 9)². So x + 81 = x² + 18x + 81 ⇒ 0 = x² + 17x ⇒ x(x + 17) = 0. Domain requires x + 9 ≥ 0, so x = 0 is valid (x = -17 is not). Check in the original equation.

Problem 2Difficulty: Mastery

Solve for x: √(x + 3) = √(2x + 15) - √(x + 3)

Solution & Explanation:Add √(x + 3) to both sides: 2√(x + 3) = √(2x + 15). Square: 4(x + 3) = 2x + 15. So 4x + 12 = 2x + 15 ⇒ 2x = 3 ⇒ x = 1.5. Check in the original equation.

Problem 3Difficulty: Mastery

Solve for x: √(x + 1) + √(x - 8) = √(2x - 7)

Solution & Explanation:Domain requires x ≥ 8. Square: (x + 1) + (x - 8) + 2√((x + 1)(x - 8)) = 2x - 7. Cancel 2x - 7: 2√((x + 1)(x - 8)) = 0, so (x + 1)(x - 8) = 0. This gives x = -1 or x = 8, but only x = 8 meets x ≥ 8. Check in the original equation.

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Frequently Asked Questions

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QIs this ALG2.142 Solving Radical Equations worksheet free for teachers and homeschoolers?

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Algebra II Math students. It aligns with educational standard ALG2.142 (Practice questions for Solving Radical Equations.).