Free Printable WorksheetMathAlgebra IMath CurriculumF-LE.1a–c

ALG1.66 Recognize Exponential Growth and Decay Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra I Math worksheet provides structured practice on ALG1.66 Recognize Exponential Growth and Decay. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG1.66 Recognize Exponential Growth and Decay - Primary standard selected for prompt fields in this prompt cell: CCSS F-LE.1a–c. Skill statement in this prompt cell: Identify exponential relationships from tables, graphs, and contexts by constant ratios; Identify the option that distinguishes growth from decay using the base or percent rate. Associated standards listed with this skill in this prompt cell: CCSS: F-LE.1a–c, 2–3, 5; F-IF.4–5; TEKS: §111.39(c)(9)(A–E); VA SOL: A.F.2 e–h; FL B.E.S.T.: MA.912.AR.5.3–5.6; NY-NGLS: AI-F.LE.1–3, AI-F.LE.5; CA CCSSM: F-LE.1–3,5; MA 2017: HS.F-LE.1–3,5; DoDEA CCRSM; NAEP: Algebra—functions; NCTM P2A: Practices 2, 4. 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 ALG1.66 Recognize Exponential Growth and Decay skill assessments:

Problem 1Difficulty: Mastery
Which option fully explains how to recognize exponential growth or decay from a table with equal x-intervals?
ACheck ratios of y-values; a constant ratio greater than 1 means growth, and a constant ratio between 0 and 1 means decay
BCheck differences of y-values; a constant difference greater than 1 means growth, and a negative difference means decay
CCheck whether the y-values increase; any increase means exponential growth
DCheck the first y-value only; if it is positive, the relationship is exponential growth
Solution & Explanation:Exponential patterns are based on repeated multiplication. Equal x-intervals need constant y-ratios, with ratios greater than 1 for growth and between 0 and 1 for decay.
Problem 2Difficulty: Mastery
A table includes x: -1, 0, 1, 2; y: 2, 6, 18, 54. Which statement is correct?
AThe relationship shows exponential growth with ratio 3 for each 1-unit x-increase
BThe relationship shows exponential decay with ratio 3
CThe relationship is linear because x includes a negative value
DThe relationship is not exponential because x starts at -1
Solution & Explanation:The y-values are multiplied by 3 each time x increases by 1, even when the table starts at x = -1. A constant ratio greater than 1 means growth.
Problem 3Difficulty: Mastery
A process repeatedly multiplies a quantity by 0.97. Which statement describes the exponential model?
AIt has base 0.97 and shows 3% decay
BIt has base 1.03 and shows 3% growth
CIt has base 0.03 and shows 97% decay
DIt has base 97 and shows 97% growth
Solution & Explanation:A multiplier of 0.97 means 97% remains each step. The decrease is 1 - 0.97 = 0.03, or 3% decay.

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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-LE.1a–c (Primary standard selected for prompt fields in this prompt cell: CCSS F-LE.1a–c. Skill statement in this prompt cell: Identify exponential relationships from tables, graphs, and contexts by constant ratios; Identify the option that distinguishes growth from decay using the base or percent rate. Associated standards listed with this skill in this prompt cell: CCSS: F-LE.1a–c, 2–3, 5; F-IF.4–5; TEKS: §111.39(c)(9)(A–E); VA SOL: A.F.2 e–h; FL B.E.S.T.: MA.912.AR.5.3–5.6; NY-NGLS: AI-F.LE.1–3, AI-F.LE.5; CA CCSSM: F-LE.1–3,5; MA 2017: HS.F-LE.1–3,5; DoDEA CCRSM; NAEP: Algebra—functions; NCTM P2A: Practices 2, 4. Use this prompt-provided wording as the supporting standard description for this workflow.).

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