Free Printable WorksheetMathAlgebra IMath CurriculumF-LE.1b-c

ALG1.68 Compare Linear and Exponential Behavior Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra I Math worksheet provides structured practice on ALG1.68 Compare Linear and Exponential Behavior. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG1.68 Compare Linear and Exponential Behavior - Primary standard selected for prompt fields in this prompt cell: CCSS F-LE.1b-c. Skill statement in this prompt cell: Choose the comparison that correctly describes linear and exponential relationships using differences and ratios in tables; Select the statement that correctly interprets why multiplicative change produces exponential behavior. Associated standards listed with this skill in this prompt cell: CCSS: F-LE.1b-c, 2; TEKS: §111.39(c)(9)(A-D); VA SOL: A.F.2 h; FL B.E.S.T.: MA.912.F.1.1 (function types), MA.912.AR.5.*; NY-NGLS: AI-F.LE.1-2; CA CCSSM: F-LE.1-2; MA 2017: HS.F-LE.1-2; DoDEA CCRSM; NAEP: Algebra-patterns/relations; 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 ALG1.68 Compare Linear and Exponential Behavior skill assessments:

Problem 1Difficulty: Mastery
Table A has x: 0, 2, 4, 6 and y: 7, 14, 28, 56. Table B has x: 0, 2, 4, 6 and y: 7, 17, 27, 37. Which comparison is correct?
AA is exponential because it doubles every equal 2-unit interval; B is linear because it adds 10 every equal 2-unit interval.
BA is linear because it starts at 7; B is exponential because it gets larger.
CBoth are linear because both use the same x-values.
DBoth are exponential because both begin with y = 7.
Solution & Explanation:Table A has a constant ratio of 2 for each 2-unit x-step. Table B has a constant difference of +10 for each 2-unit x-step.
Problem 2Difficulty: Mastery
Table A has y-values 12, 18, 27, 40.5. Table B has y-values 12, 18, 24, 30. Both use x-values 0, 1, 2, 3. Which full comparison is correct?
AA is exponential with ratio 1.5; B is linear with difference +6.
BA is linear with difference +6; B is exponential with ratio 1.5.
CBoth are linear because they share the first two values.
DBoth are exponential because they both increase from 12 to 18.
Solution & Explanation:Table A multiplies by 1.5 each step: 12, 18, 27, 40.5. Table B adds 6 each step: 12, 18, 24, 30.
Problem 3Difficulty: Mastery
Compare f(x) = 5(2x) and g(x) = 2(5x). Which statement is correct?
ABoth are exponential; f has ratio 2 and starts at 5, while g has ratio 5 and starts at 2, so g grows faster after the early values.
Bf is linear because it starts at 5, and g is exponential because it has 5x.
Cg is linear because it starts at 2, and f is exponential because it has 2x.
DBoth are linear because they have the same value at x = 1.
Solution & Explanation:Both functions have the form a(bx). The growth factor of g is 5, which is larger than f's factor 2, even though g starts lower.

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Frequently Asked Questions

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QIs this ALG1.68 Compare Linear and Exponential Behavior worksheet free for teachers and homeschoolers?

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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.1b-c (Primary standard selected for prompt fields in this prompt cell: CCSS F-LE.1b-c. Skill statement in this prompt cell: Choose the comparison that correctly describes linear and exponential relationships using differences and ratios in tables; Select the statement that correctly interprets why multiplicative change produces exponential behavior. Associated standards listed with this skill in this prompt cell: CCSS: F-LE.1b-c, 2; TEKS: §111.39(c)(9)(A-D); VA SOL: A.F.2 h; FL B.E.S.T.: MA.912.F.1.1 (function types), MA.912.AR.5.*; NY-NGLS: AI-F.LE.1-2; CA CCSSM: F-LE.1-2; MA 2017: HS.F-LE.1-2; DoDEA CCRSM; NAEP: Algebra-patterns/relations; NCTM P2A: Practices 2, 7. Use this prompt-provided wording as the supporting standard description for this workflow.).

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