Early Solutions to the 2025 AP Precalculus Free Response

Math Medic

The second ever AP Precalc Exam took place on Tuesday, and we’re here to offer our early attempt at solutions to the four free response questions. Luckily, we knew what questions were coming, since all the AP Precalc FRQs are based on task models that the College Board shared with us throughout this school year. True to their word, the College Board gave us four questions that reflected the four task models:

  • FRQ 1: Function Concepts

  • FRQ 2: Modeling a Non-periodic Context

  • FRQ 3: Modeling a Periodic Context

  • FRQ 4: Symbolic Manipulations

You can see this year’s AP Precalc questions here. Although the official scoring guidelines don’t release until the summer, here’s a first attempt at solutions. (Please be gentle if we have any errors!).

FRQ 1: Function Concepts

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FRQ 2: Modeling a Non-periodic Context

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FRQ 3: Modeling a Periodic Context

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FRQ 4: Symbolic Manipulations

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About the Author

Luke Wilcox

Luke has 23 years of classroom experience teaching mathematics at East Kentwood High School, the #1 most diverse public school in Michigan. His teaching has been recognized with the 2013 Presidential Award and 2018 Michigan Teacher of the Year Award, allowing him the incredible opportunity to meet two different Presidents at the White House. Luke believes that math education needs a revolution, from lecture-based boring to student-centered enthusiasm. When he’s not head-down in his work supporting teachers, Luke can be found running, working on cars (he still has his ’88 Ford Escort GT from high school), traveling with his family, or enjoying a good cup of coffee.

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