Free Printable WorksheetMathAlgebra IMath CurriculumA-APR.1

ALG1.83 Evaluate Polynomial Functions from Tables and Graphs Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra I Math worksheet provides structured practice on ALG1.83 Evaluate Polynomial Functions from Tables and Graphs. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG1.83 Evaluate Polynomial Functions from Tables and Graphs - Select the correct value of a polynomial function at given inputs using tables or graphs; Select the statement that correctly interprets key features such as intercepts and overall shape from the representation. (CCSS: A-APR.1; F-IF connections; TEKS: §111.39(c)(10)(A–C); VA SOL: A.EO.2 a–e; FL B.E.S.T.: MA.912.AR.1.3–1.4; NY-NGLS: AI-A.APR.1; CA CCSSM: A-APR.1; MA 2017: HS.A-APR.1; DoDEA CCRSM; NAEP: Algebra—expressions; 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 ALG1.83 Evaluate Polynomial Functions from Tables and Graphs skill assessments:

Problem 1Difficulty: Mastery
Use the graph of polynomial Z shown in the image. Which statement combines value, intercepts, and end behavior correctly?
AZ(0) = -6, the graph has x-intercepts at x = -2 and x = 3, and both ends rise.
BZ(0) = 6, the graph has no x-intercepts, and the right end falls.
CZ(3) = -6, the graph has an x-intercept at (0, -6), and both ends rise.
DZ(0) = 0, the graph has y-intercepts at x = -2 and x = 3, and both ends fall.
Solution & Explanation:The graph crosses the y-axis at (0, -6), so Z(0) = -6. It crosses the x-axis at x = -2 and x = 3, and the upward-opening shape has both ends rising.
Problem 2Difficulty: Mastery
The table shows values of polynomial S. x: -2, -1, 0, 1, 2; S(x): 11, 4, -1, -4, -5. Which input should be used to find the y-intercept, and what is the y-intercept?
AUse x = -1; the y-intercept is (-1, 4).
BUse x = 2; the y-intercept is (2, -5).
CUse x = 0; the y-intercept is (0, -1).
DUse the largest output; the y-intercept is (-2, 11).
Solution & Explanation:The y-intercept always occurs where x = 0. The table shows S(0) = -1, so the y-intercept is (0, -1).
Problem 3Difficulty: Mastery
Use the graph of polynomial Q shown in the image. What is Q(-2) + Q(0) + Q(2)?
A9
B-3
C0
D3
Solution & Explanation:The graph shows Q(-2) = 4, Q(0) = -5, and Q(2) = 4. The sum is 4 + (-5) + 4 = 3.

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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 A-APR.1 (Primary standard selected for prompt fields in this prompt cell: CCSS A-APR.1. Skill statement in this prompt cell: Select the correct value of a polynomial function at given inputs using tables or graphs; Select the statement that correctly interprets key features such as intercepts and overall shape from the representation. Associated standards listed with this skill in the curriculum source: CCSS: A-APR.1; F-IF connections; TEKS: §111.39(c)(10)(A–C); VA SOL: A.EO.2 a–e; FL B.E.S.T.: MA.912.AR.1.3–1.4; NY-NGLS: AI-A.APR.1; CA CCSSM: A-APR.1; MA 2017: HS.A-APR.1; DoDEA CCRSM; NAEP: Algebra—expressions; NCTM P2A: Practices 6, 7. Use this prompt-provided wording as the supporting standard description for this workflow.).

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