Precalculus

Practice
Free Response
Assessments
Overview

    Fundamentals: Expressions, Equations, and Inequalities

    These free-response questions are designed to assess multiple topics and standards within a single unit. The following questions focus on exponents, radicals, and quadratic functions.
    Suggested Time Limit: 15 minutes per question

    Free Response Questions

    2 questions

    Bacteria Population Model

    Height of a Ball

    Fundamentals: Functions and Graphs

    These free response questions are designed to assess multiple topics and standards within a single unit. The following questions focus on interpreting key features of functions and building inverse and composite functions.
    Suggested Time Limit: 15 minutes per question

    Free Response Questions

    2 questions

    Amusement Park Slide

    Volume of a Box

    Complex Numbers

    These free response questions are designed to assess multiple topics and standards within a single unit. The following questions focus on complex number arithmetic and the complex plane.
    Suggested Time Limit: 15 minutes per question

    Free Response Questions

    2 questions

    Complex Number Operations

    Complex Numbers in Polar Form

    Polynomial and Rational Functions

    These free response questions are designed to assess multiple topics and standards within a single unit. The following questions focus on polynomial and rational function models.
    Suggested Time Limit: 15 minutes per question

    Free Response Questions

    2 questions

    Monthly Profit

    Boat Travel

    Exponential and Logarithmic Functions

    These free response questions are designed to assess multiple topics and standards within a single unit. The following questions focus on exponential and logarithmic function models.
    Suggested Time Limit: 15 minutes per question

    Free Response Questions

    2 questions

    Value of a Tool

    Investigating pH

    Trigonometric Functions

    These free response questions are designed to assess multiple topics and standards within a single unit. The following questions focus on interpreting a sinusoidal function model and writing an equation for a tangent function.
    Suggested Time Limit: 15 minutes per question

    Free Response Questions

    2 questions

    Transformation of the Tangent Function

    Ferris Wheel Inverse Function

    Analytic Trigonometry

    These free response questions are designed to assess multiple topics and standards within a single unit. The following questions focus on trigonometric identities and applying the law of cosines and the law of sines.
    Suggested Time Limit: 15 minutes per question

    Free Response Questions

    2 questions

    Intersecting Trig Graphs

    Correcting a Flight Path

    Matrices and Systems

    These free response questions are designed to assess multiple topics and standards within a single unit. The following questions focus on solving a nonlinear system and building a matrix based on linear paths.
    Suggested Time Limit: 15 minutes per question

    Free Response Questions

    2 questions

    Solving a System of Equations

    Paths in a Video Game

    Vectors

    These free response questions are designed to assess multiple topics and standards within a single unit. The following questions focus on basic applications of vectors and vector arithmetic.
    Suggested Time Limit: 15 minutes per question

    Free Response Questions

    2 questions

    Determine Vector Characteristics

    Forces on an Object

    Analytic Geometry and Conics

    These free response questions are designed to assess multiple topics and standards within a single unit. The following questions focus on conic sections and parametric equations.
    Suggested Time Limit: 15 minutes per question

    Free Response Questions

    2 questions

    A Conic Section

    Hitting a Home Run

    Discrete Mathematics

    These free response questions are designed to assess multiple topics and standards within a single unit. The following questions focus on the binomial theorem and calculating expected value.
    Suggested Time Limit: 15 minutes per question

    Free Response Questions

    2 questions

    Terms in a Binomial Expansion

    Rolling $2$s