SAT Math Lesson Plan 17: Exponential and Radical Equations

In this SAT Math lesson, students learn how to solve exponential and radical equations using algebraic and graphical techniques. The lesson introduces key strategies for working with exponential expressions, including using the same base, applying logarithms, and understanding exponential growth and decay in real-world contexts. Radical equations are tackled through squaring both sides and checking for extraneous solutions.

Students are guided through seven detailed examples that cover the full range of SAT-style exponential and radical problems, including multi-step solutions and graph-based interpretations. The lesson also includes test-taking strategies such as estimating powers and identifying when to skip and return to challenging questions. A 10-question multiple-choice quiz with full solutions reinforces key skills and builds confidence.

This lesson is part of a comprehensive 35-lesson SAT Math curriculum and aligns with the Heart of Algebra and Passport to Advanced Math domains, which together make up over 60% of the SAT Math section.

Not sure if you need to review this lesson? Take this placement quiz. If you score less than 70%, then you should review this lesson. 

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