Free Printable WorksheetMathAlgebra IMath CurriculumModeling (★) across A-CED, F-IF, F-LE, S-ID

ALG1.111 Compare Parent Function Families Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra I Math worksheet provides structured practice on ALG1.111 Compare Parent Function Families. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG1.111 Compare Parent Function Families - Choose the comparison that correctly describes linear, quadratic, exponential, absolute value, and square root functions by key features; Identify which family best matches a graph or context. (CCSS: Modeling (★) across A-CED, F-IF, F-LE, S-ID; TEKS: §111.39(b)(3) (modeling and technology woven throughout); VA SOL: modeling emphasis across A.EI, A.F, A.ST; FL B.E.S.T.: modeling embedded in MA.912.AR.* and MA.912.F.*; NY-NGLS: ★ standards flagged across Algebra I; CA CCSSM: Modeling emphasis (Framework); MA 2017: Modeling throughout Model Algebra I; DoDEA CCRSM; NAEP: Algebra—applications; NCTM P2A: Practices 1–8.)

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 ALG1.111 Compare Parent Function Families skill assessments:

Problem 1Difficulty: Mastery
The distance from a moving point at position t to a marker at 7 is d(t) = |t - 7|. Which comparison with a linear function is correct?
AIt is linear over all real t because the graph uses straight pieces
BIt is absolute value because the slope changes sign at t = 7, creating a V-shaped graph
CIt is exponential because the distance is always positive
DIt is quadratic because the graph has a smooth minimum
Solution & Explanation:The graph is made of two linear pieces, but the slope changes at the marker, so the whole function is absolute value rather than one linear function.
Problem 2Difficulty: Mastery
A designer compares five parent functions on one coordinate plane. Which visual feature would best help identify the absolute value parent among them?
AA sharp V-shaped graph with two straight branches meeting at a vertex
BA smooth curve that starts at an endpoint and flattens
CA curve through (0,1) with a horizontal asymptote
DA smooth U-shaped parabola
Solution & Explanation:Among the common parent families, a sharp V with two straight branches is the visual signature of absolute value.
Problem 3Difficulty: Mastery
Use the graph shown. The curve passes through (-1,1/2), (0,1), (1,2), and (2,4) and has no x-intercept. Which family and feature identify it?
AExponential, because it has a constant ratio of 2 and stays above the x-axis
BLinear, because the points have increasing x-values
CQuadratic, because the y-values are positive
DAbsolute value, because it is symmetric
Solution & Explanation:The outputs double for each increase of 1 in x, and the graph stays above y = 0, matching an exponential function.

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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 Modeling (★) across A-CED, F-IF, F-LE, S-ID (Primary standard selected for prompt fields in this prompt cell: CCSS Modeling (★) across A-CED, F-IF, F-LE, S-ID. Skill statement in this prompt cell: Choose the comparison that correctly describes linear, quadratic, exponential, absolute value, and square root functions by key features; Identify which family best matches a graph or context. Associated standards listed with this skill in the curriculum source: CCSS: Modeling (★) across A-CED, F-IF, F-LE, S-ID; TEKS: §111.39(b)(3) (modeling and technology woven throughout); VA SOL: modeling emphasis across A.EI, A.F, A.ST; FL B.E.S.T.: modeling embedded in MA.912.AR.* and MA.912.F.*; NY-NGLS: ★ standards flagged across Algebra I; CA CCSSM: Modeling emphasis (Framework); MA 2017: Modeling throughout Model Algebra I; DoDEA CCRSM; NAEP: Algebra—applications; NCTM P2A: Practices 1–8. Use this prompt-provided wording as the supporting standard description for this workflow.).

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