# High School Precalculus Textbook

Updated May 30, 2023

### Course Summary

Instead of using a traditional textbook, use our mobile-friendly high school precalculus textbook replacement course to work with your students. For less than you'd spend on textbooks, your students can review our professionally designed video and text lessons to learn all they need to know.

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### Lesson Sample

High School Precalculus Textbook 189K views 7 min

28 hours of educational videos

251 self-paced lessons

33 practice tests

Expert Contributor: Luke Winspur

Luke has taught high school algebra and geometry, college calculus, and has a master's degree in education.

#### 32 chapters in High School Precalculus Textbook

Course Practice Test

Check your knowledge of this course with a 50-question practice test.
• Comprehensive test covering all topics
• Detailed video explanations for wrong answers
Ch 1. Working with Linear Equations
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What is a Linear Equation?
A linear equation is a pattern of numbers with proportional increase or decrease that is used to represent a line graph. Learn how to plot a graph and build and solve a linear equation. Take Quiz
Applying the Distributive Property to Linear Equations
Linear Equations: Intercepts, Standard Form and Graphing
Abstract Algebraic Examples and Going from a Graph to a Rule
Graphing Undefined Slope, Zero Slope and More
Graphs of Parallel and Perpendicular Lines in Linear Equations
How to Write a Linear Equation
Equation of a Line Using Point-Slope Formula
Understanding Numbers That Are Pythagorean Triples
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What is a Parabola?
Parabolas in Standard, Intercept, and Vertex Form
How to Factor Quadratic Equations: FOIL in Reverse
How to Complete the Square
Completing the Square Practice Problems
How to Solve a Quadratic Equation by Factoring
How to Solve Quadratics with Complex Numbers as the Solution
Graphing & Solving Quadratic Inequalities: Examples & Process
Graphing a System of Quadratic Inequalities: Examples & Process
Applying Quadratic Functions to Motion Under Gravity & Simple Optimization Problems
Using Quadratic Functions to Model a Given Data Set or Situation
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What Is an Exponential Function?
Exponential Growth vs. Decay
Transformation of Exponential Functions: Examples & Summary
Using the Natural Base e: Definition & Overview
What is a Logarithm?
How to Evaluate Logarithms
Writing the Inverse of Logarithmic Functions
Exponentials, Logarithms & the Natural Log
Basic Graphs & Shifted Graphs of Logarithmic Functions: Definition & Examples
Logarithmic Properties
Practice Problems for Logarithmic Properties
How to Solve Logarithmic Equations
Using the Change-of-Base Formula for Logarithms: Definition & Example
How to Solve Exponential Equations
Calculating Rate and Exponential Growth: The Population Dynamics Problem
Behavior of Exponential and Logarithmic Functions
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Trigonometry: Sine and Cosine
Other Trigonometric Functions: Cotangent, Secant & Cosecant
Unit Circle: Memorizing the First Quadrant
Using Unit Circles to Relate Right Triangles to Sine & Cosine
Practice Problems with Circular Trigonometric Functions
Special Right Triangles: Types and Properties
Trigonometric Function Values of Special Angles
Law of Sines: Definition and Application
Law of Cosines: Definition and Application
The Double Angle Formula
Converting 225 Degrees to Radians: How-To & Steps
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Performing Operations on Vectors in the Plane
The Dot Product of Vectors: Definition & Application
What is a Matrix?
Multiplicative Inverses of Matrices and Matrix Equations
How to Take a Determinant of a Matrix
How to Write an Augmented Matrix for a Linear System
How to Perform Matrix Row Operations
Matrix Notation, Equal Matrices & Math Operations with Matrices
How to Solve Inverse Matrices
How to Solve Linear Systems Using Gaussian Elimination
How to Solve Linear Systems Using Gauss-Jordan Elimination
Inconsistent and Dependent Systems: Using Gaussian Elimination
Solving Systems of Linear Equations in Two Variables Using Determinants
Solving Systems of Linear Equations in Three Variables Using Determinants
Using Cramer's Rule with Inconsistent and Dependent Systems
How to Evaluate Higher-Order Determinants in Algebra
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What is a Mathematical Sequence?
Introduction to Sequences: Finite and Infinite
How to Use Series and Summation Notation: Process and Examples
Understanding Arithmetic Series in Algebra
How to Calculate an Arithmetic Series
Arithmetic Sequences: Definition & Finding the Common Difference
How and Why to Use the General Term of an Arithmetic Sequence
How to Find and Classify an Arithmetic Sequence
Working with Geometric Sequences
Finding and Classifying Geometric Sequences
The Sum of the First n Terms of a Geometric Sequence
Understand the Formula for Infinite Geometric Series
How to Calculate a Geometric Series
Using Recursive Rules for Arithmetic, Algebraic & Geometric Sequences
Arithmetic and Geometric Series: Practice Problems
Using Sigma Notation for the Sum of a Series
Mathematical Induction: Uses & Proofs
How to Find the Value of an Annuity
How to Use the Binomial Theorem to Expand a Binomial
Special Sequences and How They Are Generated

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Practice Tests in this course
Check your knowledge of this course with a 50-question practice test. Once you take the test, you will receive a detailed exam report complete with your personal statistics and even specific lessons to focus on! Take the practice test now
Your detailed study guide will include:
• Answers and detailed explanations to each question
• Video lessons to explain complicated concepts
Course Practice Test
More practice by chapter
Ch. 30
Ch. 31

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