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# Algebra

## Basic Concepts of Algebra

Real Number System

Integer Exponents, Scientific Notation, and Order of Operations

Polynomials

Factoring

Solving Equations

Rational Expressions

## Graphs, Functions, and Models

Intro to Graphing

Functions

Linear Functions and Slope

Equations of Lines

Linear Inequalities

## Quadratic Functions, Equations, and Inequalities

Solving Absolute Value Equations and Inequalities

## Polynomial and Rational Functions

Polynomial Functions

Graphing Polynomial Functions

Polynomials Divison and the Remainder and Factor Theorems

## Exponential and Logarithmic Functions

Inverse Functions

Exponential and Logarithmic Functions and Graphs

Properties of Logarithmic Functions

Solving Exponential and Logarithmic Equations

Applications

## Systems of Equations and Matrices

Systems of Equations in Two Variables

Matrix Operations

Inverses of Matrices

Determinants and Cramer’s Rule

Systems of Inequalities and Linear Programming

## Conic Sections

Intro to Conic Sections

Parabola

Ellipse and Circle

Hyperbola

Other Forms

## Sequences and Series

Intro to Sequences and Series

Arithmetic Sequences and Series

Geometric Sequences and Series

Other Sequences and Series

## Combinatorics

The Counting Principle, Combinations, and Permutations

The Binomial Theorem

Probability

Mathematical Induction