Exponential Functions & Equations Worksheet + Answer Key

Master exponential functions and equations with this Algebra 2 worksheet and complete answer key! Covers growth and decay models, graphing, solving equations, and real-world applications.
This comprehensive 5-page worksheet is designed to help Algebra 2 students master exponential functions and equations. It guides learners step-by-step from core conceptual understanding to algebraic evaluation, graphical representation, and real-world application problems.

What is Included:

Section A: Concept Check. Evaluates foundational understanding of exponential growth and decay models, y-intercepts, continuous compound growth formulas, and conceptual comparisons between exponential and polynomial growth.

Section B: Evaluating and Graphing. Focuses on evaluating exponential functions for given values and graphing equations on coordinate grids, including identifying vertical shifts and horizontal asymptotes.

Section C: Growth and Decay Models. Guides students through applying compound and continuous interest formulas, calculating half-life radioactive decay, and determining decay factors over time.

Section D: Solving Exponential Equations. Challenges students to solve equations by matching bases or utilizing logarithms when the bases do not match, rounding to two decimal places where necessary.

Section E: Applications. Connects exponential mathematics to practical models, featuring context-rich word problems regarding bacteria culture growth, car depreciation, and calculating the time required for an investment to double.

Teacher Benefits:

Ready to Print & Go – Zero prep required. Excellent for structured lessons, homework, independent practice, or exam review.
Complete Solutions Included – Comes with a fully worked answer key detailing conceptual justifications, step-by-step algebraic setups, coordinate graphs, and contextual interpretation for all application problems.
Organized Formatting – Features a clean layout that provides ample, dedicated space for students to write full solutions for extended problems and clear choices for multiple-choice items.