Free Printable WorksheetMathAlgebra IMath CurriculumF-IF.7e (course model dependent)

ALG1.72 Match Exponential Representations Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra I Math worksheet provides structured practice on ALG1.72 Match Exponential Representations. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG1.72 Match Exponential Representations - Primary standard selected for prompt fields in this prompt cell: CCSS F-IF.7e (course model dependent). Skill statement in this prompt cell: Match equations, tables, and graphs that represent the same exponential relationship; Identify the base and initial value from each representation. Associated standards listed with this skill in this prompt cell: CCSS: F-IF.7e (course model dependent), F-IF.4–5; TEKS: §111.39(c)(9)(D–E); VA SOL: A.F.2 f; FL B.E.S.T.: MA.912.AR.5.6; NY-NGLS: AI-F.IF.7a (includes exponential form a(b)^x); CA CCSSM: F-IF.7 (includes exponential); MA 2017: HS.F-IF.7; DoDEA CCRSM; NAEP: Algebra—graphs; NCTM P2A: Practices 2, 7. Use this prompt-provided wording as the supporting standard description for this workflow.

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 ALG1.72 Match Exponential Representations skill assessments:

Problem 1Difficulty: Mastery
Which option gives a table and graph description that both match y = 8(0.5)x?
ATable x = -1, 0, 1; y = 16, 8, 4 and graph with y-intercept 8 that halves each step right
BTable x = -1, 0, 1; y = 4, 8, 16 and graph with y-intercept 8 that doubles each step right
CTable x = 0, 1, 2; y = 8, 4, 0 and graph with y-intercept 4
DTable x = -1, 0, 1; y = 16, 8, 4 and graph with y-intercept 16 that halves each step right
Solution & Explanation:The equation starts at 8, halves to 4 at x=1, and gives 16 at x = -1. The matching graph has y-intercept 8 and halves each step right.
Problem 2Difficulty: Mastery
Table: x = 1, 3; y = 2.7, 24.3. What is the base?
Solution & Explanation:From x=1 to x=3 is 2 steps. The ratio 24.3/2.7 is 9, so the one-step base is 3.
Problem 3Difficulty: Mastery
A graph has y-intercept 1.2 and passes through (2, 10.8). Which equation matches the graph?
Ay = 1.2(3)x
By = 3(1.2)x
Cy = 1.2(9)x
Dy = 10.8(3)x
Solution & Explanation:The initial value is 1.2. Since 10.8/1.2 = 9 over two steps, the base is 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 F-IF.7e (course model dependent) (Primary standard selected for prompt fields in this prompt cell: CCSS F-IF.7e (course model dependent). Skill statement in this prompt cell: Match equations, tables, and graphs that represent the same exponential relationship; Identify the base and initial value from each representation. Associated standards listed with this skill in this prompt cell: CCSS: F-IF.7e (course model dependent), F-IF.4–5; TEKS: §111.39(c)(9)(D–E); VA SOL: A.F.2 f; FL B.E.S.T.: MA.912.AR.5.6; NY-NGLS: AI-F.IF.7a (includes exponential form a(b)^x); CA CCSSM: F-IF.7 (includes exponential); MA 2017: HS.F-IF.7; 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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