Free Printable WorksheetMathAlgebra IIMath CurriculumALG2.159

ALG2.159 Comparing Linear, Exponential, and Power Models Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra II Math worksheet provides structured practice on ALG2.159 Comparing Linear, Exponential, and Power Models. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG2.159 Comparing Linear, Exponential, and Power Models - Practice questions for Comparing Linear, Exponential, and Power Models.

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 II

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 ALG2.159 Comparing Linear, Exponential, and Power Models skill assessments:

Problem 1Difficulty: Mastery

A battery is at 100% charge and loses 12% of its current charge each hour. Which model gives the charge C(h) after h hours?

AC(h) = 100 − 12h

BC(h) = 100·(0.12 raised to h)

CC(h) = 100·h^(−0.12)

DC(h) = 100·(0.88 raised to h)

Solution & Explanation:Losing 12% each hour means keeping 88% each hour, so multiply by 0.88 repeatedly: C(h)=100·0.88^h.

Problem 2Difficulty: Mastery

Which situation is best modeled by a power function (not linear or exponential)?

AA population grows by 4% each year.

BA tank fills at 3 liters per minute.

CThe force of gravity between two objects decreases with the square of the distance between them.

DA phone plan charges $25 plus $10 per gigabyte.

Solution & Explanation:Inverse-square relationships have the form y = k·x^(−2), which is a power model.

Problem 3Difficulty: Mastery

Solve 0.5·(x cubed) = 256 for x. (Enter the real solution.)

Solution & Explanation:Multiply both sides by 2: x³ = 512. Since 8³ = 512, x = 8.

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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 II Math students. It aligns with educational standard ALG2.159 (Practice questions for Comparing Linear, Exponential, and Power Models.).