## Algebra 2 Tutoring Topics

### 1. Basic Concepts of Algebra

Algebraic and Numeric Expressions

Evaluating Expressions

Simplifying Algebraic Expressions

### 2. Inequalities

Compound Inequalities

Distance Rate Time Word Problems

Mixture Word Problems

Solving Absolute Value Equations

Solving Inequalities

Solving Multi-Step Equations

Work Word Problems

### 3. Linear Equations and Functions

Graphing Absolute Value Equations

Graphing Linear Inequalities

Review Linear Equations

### 4. Polynomials

Analyzing and Solving Polynomial Equations

Descartes Rule of Signs

Factoring All Techniques

Factoring A Sum+Difference of Cubes

Factoring By Grouping

Factoring Quadratic Form

Factors and Zeros

Graphing Polynomial Functions

Graphing Polynomial Functions Basic Shape

Irrational and Imaginary Root Theorems

More on Factors, Zeros, and Dividing

Polynomial Basics

Rational Root Theorem

The Binomial Theorem

The Remainder Theorem

### 5. Rational Expressions

Adding+Subtracting Rational Expressions

Complex Fractions

Graphing Rational Functions

Graphing Simple Rational Functions

Multiplying+Dividing Rational Expressions

Rational Expressions

Solving Rational Equations

### 6. Radical Functions

Adding Subtracting Multiplying Radicals

Dividing Radicals

Graphing Radicals

Radicals and Rational Exponents

Rational Exponent Equations

Simplifying Radicals

Simplifying Rational Exponents

Square Root Equations

### 7. Solving Quadratic Equations

Completing the Square

Factoring Quadratic Expressions

Properties of Parabolas

Quadratic Equations By Completing the Square

Quadratic Equations By Factoring

Quadratic Equations Square Roots

Quadratic Formula

Quadratic Inequalities

The Discriminant

Vertex Form of Parabolas

### 8. Variation and Proportion

Evaluating Functions

Function Inverses

Function Operations

### 9. Analytic Geometry

Classifying Conic Sections

Eccentricity

Equations of Circles

Equations of Ellipses

Equations of Hyperbolas

Equations of Parabolas

Graphing and Properties of Circles

Graphing and Properties of Ellipses

Graphing and Properties of Hyperbolas

Graphing and Properties of Parabolas

Systems of Quadratic Equations

### 10. Exponential and Logarithmic Functions

Change of Base Formula

Exponential Equations Not Requiring Logarithms

Graphing Exponential Functions(pdf)Graphing Logarithms

Inverses of Logarithms

Logarithmic Equations

Meaning of Logarithms

Properties of Logarithms

Solving Exponential Equations with Logarithms

Writing Logs in Terms of Others

### 11. Sequences and Series

Arithmetic and Geometric Means

Arithmetic Sequences

Arithmetic Series

Comparing Arithmetic and Geometric Sequences

Finite Geometric Series

Geometric Sequences

Infinite Geometric Series

Introduction to Sequences

Introduction to Series

### 12. Matrices and Determinants

All Matrix Operations

Basic Matrix Operations

Determinants, 2×2

Determinants, 3×3

Inverse Matrices

Matrix Equations 1

Matrix Equations 2

Matrix Multiplication

Systems of Three Equations Cramers Rule

Systems of Two Equations Cramers Rule

Transformations Using Matrices