# Algebra Topics

Algebra 1
Algebra 2
Foundations for Algebra
Mathematical Expressions and Variables
Order of Operations
Combining Like Terms
Equations
Inequalities
Functions

Real Numbers
Graphing Real Numbers
Subtracting Integers
Multiplying Integers
Dividing Integers
The Distributive Property

Solving Linear Equations
One Step Equations - Addition & Subtraction
One Step Equations - Multiplication & Division
Two Step Equations
Equations with the Variable on Both Sides
Solving Decimal Equations
Solving Fraction Equations
Solving Equations - Putting it all Together!
Rewriting Equations in Function Form

Graphing Linear Equations
The Coordinate Plane
Slope-Intercept Method
Intercept Method
Slope of a Line
Direct Variation
Solving Linear Equations by Graphing

Coming soon...
Writing Linear Equations
Writing Linear Equations in Slope-Intercept Form
Writing Linear Equations Given the Slope and a Point
Writing Linear Equations Given Two Points
Point-Slope Form of a Linear Equation
Standard Form of a Linear Equation

Solving and Graphing Linear Inequalities
Solving One-Step Linear Inequalities
Solving Multi-Step Linear Inequalities
Solving Compound Inequalities
Solving Absolute Value Equations and Inequalities
Graphing Linear Inequalities in Two Variables

Systems of Linear Equations and Inequalities
Solving Linear Systems by Graphing
Solving Linear Systems by Substitution
Solving Linear Systems by Linear Combinations
Applications of Linear Systems
Special Types of Linear Systems
Solving Systems of Linear Inequalities

Exponents and Exponential Functions
Multiplication Properties of Exponents
Zero and Negative Exponents
Division Properties of Exponents
Exponential Growth Functions
Exponential Decay Functions

Solving Quadratic Equations by Finding Square Roots
Solving Quadratic Functions by Completing the Square
Applications of the Discriminant

Polynomials and Factoring
Multiplying Binomials
Multiplying Polynomials
Special Products of Polynomials
Solving Polynomial Equations in Factored Form
Diamond Problems (Pre-Factoring Skills)
Factoring Trinomials
Factoring Special Products
Factoring Using the Distributive Property

Rational Equations and Functions
Ratio and Proportion
Percents
Simplifying Rational Expressions
Multiplying and Dividing Rational Expressions
Dividing Polynomials
Rational Equations and Functions

Functions Involving Square Roots
The Pythagorean Theorem and Its Converse
The Distance and Midpoint Formulas

Classic Algebra Word Problems
Time and Distance Problems
Work Problems
Plane Geometry Problems
Number Problems
Mixture Problems
Coin Problems
Age Problems

Working with Data and Statistics
Stem and Leaf Plots and Mean, Median, and Mode
Box and Whisker Plots
Probability and Odds
Rates, Ratios, and Percents
Coordinates and Scatter Plots
Fitting a Line to Data
Predicting with Linear Models
Applications of Linear Systems
Scientific Notation
Direct and Inverse Variation
Equations and Inequalities
Expressions and Formulas
Properties of Real Numbers
Solving Equations
Solving Absolute Value Equations
Solving Inequalities
Solving Compound Inequalities
Solving Absolute Value Inequalities

Linear Relations and Functions
Relations and Functions
Linear Equations
Slope
Writing Linear Equations
Using Scatterplots
Identity and Constant Functions
Greatest Integer and Other Step Functions
Absolute Value and Other Piecewise Functions
Graphing Inequalities

Systems of Equations and Inequalities
Solving Systems of Equations by Graphing
Solving Systems of Equations Algebraically
Solving Systems of Inequalities by Graphing
Linear Programming
Solving Systems of Equations in Three Variables

Matrices
Introduction to Matrices
Operations with Matrices
Multiplying Matrices
Transformations with Matrices
Determinants
Cramer's Rule

Coming soon:
Identities and Inverse Matrices
Using Matrices to Solve Systems of Equations

Complex Numbers
Completing the Square
The Quadratic Formula and the Discriminant

Polynomial Functions
Properties of Exponents
Operations with Polynomials
Dividing Polynomials
Polynomial Functions
Analyzing Graphs of Polynomial Functions
Solving Polynomial Equations
The Remainder and Factor Theorems
Roots and Zeros
Rational Zero Theorem

Operations on Functions
Inverse Functions and Relations
Square Root Functions and Inequalities
nth Roots
Rational Exponents

Rational Expressions and Equations
Multiplying and Dividing Rational Expressions
Graphing Rational Functions
Direct, Joint, and Inverse Variation
Classes of Functions
Solving Rational Equations and Inequalities

Exponential and Logarithmic Relations
Exponential Functions
Logarithms and Logarithmic Functions
Properties of Logarithms
Common Logarithms
Base e and Natural Logarithms
Exponential Growth and Decay

Conic Sections
Midpoint and Distance Formulas
Parabolas
Circles
Ellipses
Hyperbolas
Conic Sections

Sequences and Series
Arithmetic Sequences
Arithmetic Series
Geometric Sequences
Geometric Series
Infinite Geometric Series
Recursion and Special Sequences
Proof and Mathematical Induction

Probability and Statistics
The Counting Principle
Permutations and Combinations
Probability
Multiplying Probabilities
Statistical Measures
The Normal Distribution
The Binomial Theorem
Exponential and Binomial Distribution
Binomial Experiments
Sampling and Error

Trigonometric Functions
Right Triangle Trigonometry
Angles and Angle Measure
Trigonometric Functions and General Angles
Law of Sines
Law of Cosines
Circular Functions
Inverse Trigonometric Functions

Trigonometric Graphs and Identities
Graphing Trigonometric Functions
Translations of Trigonometrics Graphs
Trigonometric Identities
Verifying Trigonometric Identities
Sum and Difference of Angles Formulas
Double-Angle and Half-Angle Formulas
Solving Trigonometric Equations