The Natural Base e | Exponential Growth & Decay

Algebra 2 Worksheet + Review + Answer Key | Editable and CCSS-Aligned

This comprehensive Algebra 2 worksheet focuses on helping students master the natural base e, including how to evaluate and solve exponential and logarithmic equations, and apply them to real-world growth and decay models.

Designed to support your existing curriculum, this resource begins with a skills-based warm-up and progresses into more complex applications involving continuous exponential growth and decay using A = Pe^(rt). The problems are scaffolded to gradually increase in difficulty, making it ideal for review, guided practice, or assessment.

All materials are 100% editable in Word or Google Docs format, allowing teachers to tailor questions to meet the specific needs of their students. An answer key is provided for every section to make grading fast and efficient.

What’s Included:

Part A: Warm-Up and Pre-Requisite Review

• Powers, roots, and basic exponential/logarithmic forms
• Conversion between exponential and logarithmic expressions
• Simple equations using log and ln

Part B: Evaluating Expressions with e and ln

• 10 problems focused on simplification and calculator-based evaluation
• Includes ln(e^x), e^ln(x), and basic inverse operations

Part C: Continuous Growth and Decay Problems

• 10 problems using the formula A = Pe^(rt)
• Applications include compound interest, population change, and decay over time

Part D: Solving Exponential and Logarithmic Equations

• 10 problems requiring algebraic manipulation with e and ln
• Focus on multi-step solving, logarithmic conversion, and isolating variables

Part E: Word Problems and Applications

• 10 scenario-based problems modeling real-life exponential growth or decay
• Emphasizes conceptual understanding and units

Answer key included for all sections.

Common Core Standards Addressed:

This worksheet directly supports the following Algebra 2 CCSS:

• HSF.LE.A.1.C — Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.
• HSF.LE.A.4 — For exponential models, express as a logarithm the solution to ab^(ct) = d and evaluate using technology when appropriate.

This resource also complements state standards such as TEKS A.9(A)(B) and VA SOL AII.7, depending on your state’s curriculum framework.

Key Features:

• Fully editable for classroom flexibility
• Aligned to Algebra 2 Common Core standards
• Scaffolded from review through application
• Suitable for classwork, homework, or assessments
• Ideal for in-person, hybrid, or digital learning
• Answer key included

This worksheet is a valuable addition to any Algebra 2 unit on exponential and logarithmic functions. It provides structured practice that supports concept mastery while remaining flexible for differentiation.

Terms of Use: This resource is licensed for use by one teacher in one classroom. Please do not share, distribute, or post this resource online. If another teacher would like to use it, please direct them to purchase their own copy. Thank you for supporting Minute Math!