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## Precalculus help

##### Start learning Precalculus by topic or lesson

- What is a Linear Equation?
- Applying the Distributive Property to Linear Equations
- Linear Equations
- 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
- Practice test: Working with Linear Equations

- What is an Inequality?
- How to Graph 1- and 2-Variable Inequalities
- Set Notation, Compound Inequalities, and Systems of Inequalities
- Graphing Inequalities
- How to Solve and Graph an Absolute Value Inequality
- Solving and Graphing Absolute Value Inequalities
- Translating Math Sentences to Inequalities
- Practice test: Working With Inequalities

- What is a System of Equations?
- How Do I Use a System of Equations?
- How to Solve a System of Linear Equations in Two Variables
- How to Solve a Linear System in Three Variables With a Solution
- How to Solve a Linear System in Three Variables With No or Infinite Solutions
- Practice test: Systems of Linear Equations

- Writing & Evaluating Algebraic Expressions for Two-Dimensional Geometric Figures
- Writing & Evaluating Real-Life Linear Models
- Applying Systems of Linear Equations to Breakeven Point
- Applying Systems of Linear Equations to Market Equilibrium
- Using Quadratic Models to Find Minimum & Maximum Values
- Practice test: Mathematical Modeling

- What is a Quadratic Equation?
- Solving Quadratics
- How to Use the Quadratic Formula to Solve a Quadratic Equation
- How to Solve Quadratics That Are Not in Standard Form
- Solving Quadratic Inequalities Using Two Binomials
- Solving Quadratic Equations by Substitution
- Practice test: Introduction to Quadratics

- How to Add, Subtract, Multiply and Divide Functions
- How to Compose Functions
- Applying Function Operations Practice Problems
- Compounding Functions and Graphing Functions of Functions
- Domain & Range of Composite Functions
- Inverse Functions
- Understanding and Graphing the Inverse Function
- Practice test: Understanding Function Operations

- Terminology of Polynomial Functions
- How to Evaluate a Polynomial in Function Notation
- Understanding Basic Polynomial Graphs
- Finding Intervals of Polynomial Functions
- Short Run & Long Run Behavior of Polynomials
- How to Graph Cubics, Quartics, Quintics and Beyond
- Pascal's Triangle
- Practice test: Polynomial Functions Basics

- Solving Higher Degree Polynomials
- How to Add, Subtract and Multiply Polynomials
- Factoring Polynomials Using Quadratic Form
- How to Divide Polynomials with Long Division
- How to Use Synthetic Division to Divide Polynomials
- Remainder Theorem & Factor Theorem
- Dividing Polynomials with Long and Synthetic Division
- Practice test: Higher-Degree Polynomial Functions

- Solving Equations & Inequalities Involving Rational Functions
- Graphing & Analyzing Rational Functions
- Finding Slant Asymptotes of Rational Functions
- Expressions of Rational Functions
- The Geometric Interpretation of Difference Quotient
- Cosecant
- Slant Height
- Practice test: Rational Functions & Difference Quotients

- How to Multiply and Divide Rational Expressions
- Multiplying and Dividing Rational Expressions
- How to Add and Subtract Rational Expressions
- Practice Adding and Subtracting Rational Expressions
- How to Solve a Rational Equation
- Graphing Rational Functions That Have Linear Polynomials
- Graphing Rational Functions That Have Polynomials of Various Degrees
- Practice test: Rational Expressions and Function Graphs

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