Free Printable WorksheetMathAlgebra IMath CurriculumF-IF.7b

ALG1.100 Square Root and Cube Root Functions 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 ALG1.100 Square Root and Cube Root Functions Answer Key. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG1.100 Square Root and Cube Root Functions - Select the graph that represents and interpret square root and cube root functions, including domain and range; Select the description that correctly explains how transformations affect these graphs. (CCSS: F-IF.7b; TEKS: §111.39(c)(3)(C) (key features), (8) (district scope varies); VA SOL: A.F.2 (comparisons across parent functions); FL B.E.S.T.: MA.912.AR.4.3 (absolute value graphs), MA.912.F.1.1 (parent functions); NY-NGLS: AI-F.IF.7b; CA CCSSM: F-IF.7b; MA 2017: HS.F-IF.7b; DoDEA CCRSM; NAEP: Algebra—graphs; NCTM P2A: Practices 2, 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 ALG1.100 Square Root and Cube Root Functions Answer Key skill assessments:

Problem 1Difficulty: Mastery
A graphing tool lists four possible key-feature records. Which record could match f(x) = -sqrt(4 - x) + 3?
AEndpoint (4, 3); domain x <= 4; range y <= 3; graph extends left and downward
BEndpoint (4, 3); domain x <= 4; range y >= 3; graph extends left and upward
CEndpoint (-4, 3); domain x >= -4; range y <= 3; graph extends right and downward
DCenter (4, 3); domain all real numbers; range all real numbers; graph is S-shaped
Solution & Explanation:The radicand 4 - x gives endpoint x = 4 and domain x <= 4. The negative sign outside makes outputs at most 3, so the graph extends left and downward from (4, 3).
Problem 2Difficulty: Mastery
Which transformation keeps the endpoint of y = sqrt(x) at (0, 0) but makes the graph open downward?
Ay = -sqrt(x)
By = sqrt(-x)
Cy = sqrt(x) - 1
Dy = cbrt(x)
Solution & Explanation:The negative sign outside reflects the graph over the x-axis while leaving the endpoint at (0, 0). The domain stays x >= 0 and the range becomes y <= 0.
Problem 3Difficulty: Mastery
The image shows four labeled coordinate graphs. Which graph represents y = 2cbrt(x - 8) + 1?
AGraph A
BGraph B
CGraph C
DGraph D
Solution & Explanation:The graph is an increasing cube root curve centered at (8, 1). It passes through (7, -1), (9, 3), and (16, 5).

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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 F-IF.7b (Primary standard selected for prompt fields in this prompt cell: CCSS F-IF.7b. Skill statement in this prompt cell: Select the graph that represents and interpret square root and cube root functions, including domain and range; Select the description that correctly explains how transformations affect these graphs. Associated standards listed with this skill in the curriculum source: CCSS: F-IF.7b; TEKS: §111.39(c)(3)(C) (key features), (8) (district scope varies); VA SOL: A.F.2 (comparisons across parent functions); FL B.E.S.T.: MA.912.AR.4.3 (absolute value graphs), MA.912.F.1.1 (parent functions); NY-NGLS: AI-F.IF.7b; CA CCSSM: F-IF.7b; MA 2017: HS.F-IF.7b; DoDEA CCRSM; NAEP: Algebra—graphs; NCTM P2A: Practices 2, 7. Use this prompt-provided wording as the supporting standard description for this workflow.).

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ALG1.100 Square Root and Cube Root Functions Answer Key Worksheet (PDF & DOCX) | Algebra I Math | Free K12 Practice