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## Chapter 1 – Foundations

## Chapter 2 – Solving Linear Functions

- Use a General Strategy to Solve Linear Equations
- Use a Problem Solving Strategy
- Solve a Formula for a Specific Variable
- Solve Mixture and Uniform Motion Applications
- Solve Linear Inequalities
- Solve Compound Inequalities
- Solve Absolute Value Inequalities

## Chapter 3 – Graphs and Functions

- Graph Linear Equations in Two Variables
- Slope of a Line
- Find the Equation of a Line
- Graph Linear Inequalities in Two Variables
- Relations and Functions
- Graphs of Functions

## Chapter 4 – Systems of Linear Equations

- Solve Systems of Linear Equations with Two Variables
- Solve Applications with Systems of Equations
- Solve Mixture Applications with Systems of Equations
- Solve Systems of Equations with Three Variables
- Solve Systems of Equations Using Matrices
- Solve Systems of Equations Using Determinants
- Graphing Systems of Linear Inequalities

## Chapter 5 – Polynomials and Polynomial Functions

- Add and Subtract Polynomials
- Properties of Exponents and Scientific Notation
- Multiply Polynomials
- Dividing Polynomials

## Chapter 6 – Factoring

- Greatest Common Factor and Factor by Grouping
- Factor Trinomials
- Factor Special Products
- General Strategy for Factoring Polynomials
- Polynomial Equations

## Chapter 7 – Rational Expressions and Functions

- Multiply and Divide Rational Expressions
- Add and Subtract Rational Expressions
- Simplify Complex Rational Expressions
- Solve Rational Equations
- Solve Applications with Rational Equations
- Solve Rational Inequalities

## Chapter 8 – Roots and Radicals

- Simplify Expressions with Roots
- Simplify Radical Expressions
- Simplify Rational Exponents
- Add, Subtract, and Multiply Radical Expressions
- Divide Radical Expressions
- Solve Radical Equations
- Use Radicals in Functions
- Use the Complex Number System

## Chapter 9 – Quadratic Equations and Functions

- Solve Quadratic Equations Using the Square Root Property
- Solve Quadratic Equations by Completing the Square
- Solve Quadratic Equations Using the Quadratic Formula
- Solve Quadratic Equations in Quadratic Form
- Solve Applications of Quadratic Equations
- Graph Quadratic Functions Using Properties
- Graph Quadratic Functions using Transformations

## Chapter 10 – Exponential and Logarithmic Functions

- Finding Composite and Inverse Functions
- Evaluate and Graph Exponential Functions
- Evaluate and Graph Logarithmic Functions
- Use the Properties of Logarithms
- Solve Exponential and Logarithmic Equations

## Chapter 11 – Conics

- Distance and Midpoint Formulas; Circles
- Parabolas
- Ellipses
- Hyperbolas
- Solve Systems of Nonlinear Equations

## Chapter 12 – Sequences, Series and Binomial Theorem

- Sequences
- Arithmetic Sequences
- Geometric Sequences and Series
- Binomial Theorem