Free Printable WorksheetMathPre-CalculusMath CurriculumHSF-LE.1-5

Pre CAL.72 Compare Linear, Exponential, and Quadratic Growth from Data Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Pre-Calculus Math worksheet provides structured practice on Pre CAL.72 Compare Linear, Exponential, and Quadratic Growth from Data. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Pre-CAL.72 Compare Linear, Exponential, and Quadratic Growth from Data - Primary standard selected for prompt fields in this prompt cell: CCSS HSF-LE.1-5. Skill statement in this prompt cell: Given a data table or graph, determine whether the pattern is more consistent with linear, exponential, or quadratic growth and select evidence that supports the choice. Associated standards listed with this skill in this prompt cell: CCSS HSF-LE.1-5; CCSS HSF-BF.3-5(+); CCSS HSA-REI.11; SMP 1,2,4,5,7; AP Precalculus CED Unit 2; TX §111.42(c)(5)(J-M); FL MA.912.AR.5; VA MA.FR.2. 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

Pre-Calculus

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 Pre CAL.72 Compare Linear, Exponential, and Quadratic Growth from Data skill assessments:

Problem 1Difficulty: Mastery
The table shows x: 0, 1, 2, 3, 4 and y: 7, 21, 63, 189, 567. Which model family is best supported?
AQuadratic; the first differences get larger
BLinear; the values increase by 14 at first
CExponential; each y-value is multiplied by 3
DQuadratic; second differences are constant at 42
Solution & Explanation:Each y-value is 3 times the previous one. Constant ratios for equal input steps identify exponential growth.
Problem 2Difficulty: Mastery
For x: 0, 1, 2, 3, 4, the y-values are 4, 5, 8, 13, 20. Which evidence supports the correct classification?
ALinear; the y-values increase each time
BQuadratic; first differences 1, 3, 5, 7 have constant second differences of 2
CExponential; ratios are about constant
DLinear; second differences are 2
Solution & Explanation:The first differences are +1, +3, +5, and +7. Those increase by +2 each time, so the second differences are constant and the model is quadratic.
Problem 3Difficulty: Mastery
A graph has vertex (2, 10) and includes points (0, 2), (1, 8), (2, 10), (3, 8), and (4, 2). Which model family is best?
AExponential; the graph has a highest point
BLinear; the points are symmetric
CQuadratic; the graph is a downward-opening parabola with constant second differences
DLinear; the y-values decrease after x = 2
Solution & Explanation:The points are symmetric around the vertex and form a downward-opening parabola. That shape and constant second differences support a quadratic model.

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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 Pre-Calculus Math students. It aligns with educational standard HSF-LE.1-5 (Primary standard selected for prompt fields in this prompt cell: CCSS HSF-LE.1-5. Skill statement in this prompt cell: Given a data table or graph, determine whether the pattern is more consistent with linear, exponential, or quadratic growth and select evidence that supports the choice. Associated standards listed with this skill in this prompt cell: CCSS HSF-LE.1-5; CCSS HSF-BF.3-5(+); CCSS HSA-REI.11; SMP 1,2,4,5,7; AP Precalculus CED Unit 2; TX §111.42(c)(5)(J-M); FL MA.912.AR.5; VA MA.FR.2. Use this prompt-provided wording as the supporting standard description for this workflow.).

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