Algebra 2 Topics

Below is a list of the Algebra 2 topics covered by our tutorial library.
View the Algebra 2 Inventory to see a list of all of our Algebra 2 tutorials, all in one place.

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• Fundamentals and Building Blocks

  • Theorems and Corollaries

• Equations and Inequalities

  • Algebraic Expressions

    • Numerical and Algebraic Expressions
    • Simplifying Expressions

  • Real Numbers

    • Types of Numbers
    • Properties of Real Numbers
    • The Distributive Property

  • Solving Linear Equations

    • Translating Between Words and Math
    • Properties of Equality
    • Solving Multi-Step Equations
    • Contradictions and Identities

  • Solving Linear Inequalities

    • Properties of Inequality
    • Solving Multi-Step Inequalities
    • Compound Inequalities

  • Solving Absolute Value Equations and Inequalities

    • Finding Absolute Values
    • Solving Absolute Value Inequalities

• Linear Equations and Functions

  • Relations and Functions

    • Relations
    • Functions
    • Function Notation

  • Graphing Linear Equations

    • Defining Linear Equations
    • Finding Slopes
    • Graphing Lines and Finding Points
    • Vertical and Horizontal Lines
    • Parallel and Perpendicular Lines

  • Writing Linear Equations

    • Writing Equations in Slope-Intercept Form
    • Writing Equations in Point-Slope Form
    • Writing Equations for Horizontal and Vertical Lines
    • Writing Equations for Parallel and Perpendicular Lines

  • Direct Variation

    • Defining Direct Variation
    • Working With Direct Variation

  • Scatter Plots and Best-Fit Lines

    • Scatter Plots and Correlation
    • Making Predictions With Scatter Plots

  • Graphing Inequalities

    • Graphing Linear Inequalities

  • Absolute Value and Piecewise Functions

    • Absolute Value Functions
    • Piecewise Functions

  • Parent Functions and Transformations

    • Parent Functions
    • Translations
    • Reflections

• Linear Systems

  • Solve Linear Systems by Graphing

    • Definitions of Linear Systems
    • Solving Systems by Graphing

  • Solve Linear Systems Algebraically

    • Solving Systems Using Substitution
    • Solving Systems Using Elimination
    • Solving Systems with Infinite Solutions and No Solution

  • Systems of Linear Inequalities

    • Solving Systems of Inequalities

  • Linear Programming

    • Introduction to Linear Programming
    • Optimization with Linear Programming

  • Systems of Equations in Three Variables

    • Solving Systems in Three Variables

• Matrices

  • Introduction to Matrices and Data

    • Matrix Definitions

  • Matrix Operations

    • Properties of Matrix Operations
    • Adding and Subtracting Matrices
    • Scalar Multiplication

  • Transformations with Matrices

    • Translations and Dilations

  • Determinants and Cramer's Rule

    • Determinants
    • Cramer's Rule

  • Vectors

    • Defining Vectors

• Quadratic Equations and Functions

  • Graphing Quadratic Functions

    • Definitions for Quadratic Functions
    • Working with Quadratic Graphs

  • Transforming Quadratic Functions

    • Transformations of Quadratics
    • Vertex Form of a Quadratic
    • Intercept Form of a Quadratic

  • Define and Solve Quadratic Equations by Graphing

    • Defining Quadratic Equations
    • Solving Quadratics by Graphing

  • Solve Quadratic Equations by Factoring

    • Factoring Strategies
    • From Factoring to Solving

  • Complex Numbers

    • Imaginary and Complex Numbers
    • Graphing Complex Numbers

  • Solve Quadratic Equations Using Square Roots and by Completing the Square

    • Solving Quadratics Using the Square Root Property
    • Solving Quadratics by Completing the Square

  • The Quadratic Formula and the Discriminant

    • Solving Quadratics Using the Quadratic Formula
    • Using the Discriminant

  • Quadratic Inequalities

    • Graphing and Solving Quadratic Inequalities

• Polynomials and Polynomial Functions

  • Exponents and Monomials

    • Rules of Exponents
    • Simplifying Monomial Expressions
    • Scientific Notation

  • Operations with Polynomials

    • Simplifying Polynomial Expressions
    • Multiplying Polynomials

  • Dividing Polynomials

    • Long Division

  • Polynomial Functions

    • Graphing Polynomial Functions

  • Polynomial Equations

    • Factoring Strategies
    • Solving Polynomial Equations
    • The Factor Theorem

  • Roots and Zeros

    • The Rational Zero Theorem
    • The Fundamental Theorem of Algebra

• Radical Functions

  • nth Roots and Rational Exponents

    • nth Roots
    • Rational Exponents

  • Working with Radical Expressions

    • Multiplying and Dividing Radicals
    • Simplifying Radical Expressions

  • Operations on and Composition of Functions

    • Operations on Functions

  • Inverse Relations and Functions

    • Inverse Relations

  • Graphs of Radical Functions

    • Graphing Square Root Functions

  • Solve Radical Equations and Inequalities

    • Solving Radical Equations

• Exponential and Logarithmic Functions

  • Exponential Functions

    • Exponential Functions
    • Exponential Growth and Decay

  • Logarithms and Logarithmic Functions

    • Introduction to Logarithms
    • Graphing Logarithmic Functions

  • Properties of Logarithms

    • Defining Properties of Logarithms
    • Using Properties of Logarithms

  • Natural Base e and Natural Logarithms

    • The Natural Base e
    • Natural Logarithms

  • Solving Exponential and Logarithmic Equations and Inequalities

    • Solving Exponential Equations
    • Solving Logarithmic Equations

  • Modeling with Exponential and Logarithmic Functions

    • Modeling with Exponential Functions

• Rational Functions

  • Inverse, Joint, and Combined Variation

    • Inverse Variation

  • Rational Functions and their Graphs

    • Graphing Rational Functions

  • Multiplying and Dividing Rational Expressions

    • Simplifying Rational Expressions
    • Multiplying Rational Expressions
    • Dividing Rational Expressions

  • Adding and Subtracting Rational Expressions

    • Adding and Subtracting with the Same Denominator
    • Adding and Subtracting with the Different Denominators
    • Complex Fractions

  • Solving Rational Equations and Inequalities

    • Solving Rational Equations

• Conic Sections

  • Midpoint and Distance Formulas

    • The Distance Formula
    • The Midpoint Formula

  • Parabolas

    • Parabolas With Vertices at (0,0)

  • Circles

    • Graphs of Circles
    • Equations of Circles

  • Ellipses

    • Ellipses Centered at (0,0)
    • Ellipses Centered at (h,k)

  • Hyperbolas

    • Hyperbolas Centered at (0,0)

  • Identifying Conic Sections

    • Conic Sections

• Sequences and Series

  • Defining Sequences and Series

    • Defining Sequences
    • Defining Series

  • Arithmetic Sequences and Series

    • Arithmetic Sequences

  • Geometric Sequences and Series

    • Geometric Sequences

  • Infinite Geometric Series

    • Infinite Series

• Probability and Statistics

  • Theoretical and Experimental Probability

    • Simple and Theoretical Probability
    • Experimental and Geometric Probability

  • Permutations and Combinations

    • Counting Outcomes
    • Permutations
    • Pascal's Triangle and Binomial Expansion

  • Probabilities of Compound Events

    • Independent and Dependent Events
    • Conditional Probability and Contingency Tables

  • Measures of Central Tendency and Dispersion

    • Measures of Central Tendency
    • Measures of Dispersion

  • Populations and Sampling

    • Populations and Samples

  • Statistics and Hypothesis Testing

    • Statistics Definitions

  • The Normal Distribution

    • Defining the Normal Distribution

• Trigonometric Functions

  • Right Triangle Trigonometry

    • Defining Trigonometric Ratios
    • Trigonometric Ratios in Right Triangles

  • Angles and Radian Measure

    • Angles and Radians
    • Circles, Sectors, and Arc Length

  • The Law of Sines

    • Using the Law of Sines
    • Finding Areas of Triangles Using Sines

  • The Law of Cosines

    • Using the Law of Cosines

• Trigonometric Identities and Equations

  • Graphing Trigonometric Functions

    • Introduction to Periodic Functions
    • Graphing Sine and Cosine Functions
    • Graphing Tangent and Cotangent Functions

  • Translating Trigonometric Graphs

    • Horizontal and Vertical Translations

  • Basic Trigonometric Identities

    • Defining Basic Trigonometric Identities

  • Double and Half Angle Identities

    • Defining Double and Half Angle Identities

  • Trigonometric Equations

    • Solving Trigonometric Equations