# The Ultimate Algebra 2 Course

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If you want to take a completely free course that includes all you need to do well on the Algebra 2 test, then this course is the one that will teach you every needed concept before the test date. It’s ideal for your needs and covers every Algebra 2 concept.

All in all, this fantastic course is everything you’ll require if you want to be successful when you take an Algebra 2 exam.

This Algebra 2 program as well as additional Effortless Math Education products gets utilized by multiple people taking the Algebra 2 exam annually. It helps them review basic math info, as well as find out if they need to study more in certain math concepts. With it, you’ll get your best possible score on an Algebra 2 examination.

**Learn it all at your own speed, since there’s no required schedule! **The lessons all include examples, special activities, notes, and practice sessions so you’ll totally understand it and learn all you need to know.

**The Absolute Best Book to Ace the Algebra 2**

## Algebra 2 Complete Course

### Fundamentals and Building Blocks

- Order of Operations
- Scientific Notation
- Rules of Exponents
- Evaluating Expressions
- Simplifying Algebraic Expressions
- Sets

### Equations and Inequalities

- Solving Multi-Step Equations
- Slope and Intercepts
- Using Intercepts
- Transforming Linear Functions
- Solving Inequalities
- Graphing Linear Inequalities
- Solving Linear Inequalities
- Solving Compound Inequalities
- Solving Absolute value Equations
- Solving Absolute Value Inequalities
- Graphing Absolute Value Inequalities
- Systems of Equations
- Solving Special Systems
- Systems of Equations Word Problems
- Solving Systems of Equations Graphically

### Quadratic Function

- Solving a Quadratic Equation
- Graphing Quadratic Functions
- Axis of Symmetry of Quadratic Functions
- Solving a Quadratic Equation by Graphing
- Solving Quadratic Equations by Using Square Roots
- Build Quadratics from Roots
- Solving Quadratic Inequalities
- Graphing Quadratic Inequalities
- Factoring the Difference of Two Perfect Squares

### Complex Numbers

- Complex Plane
- Adding and Subtracting Complex Numbers
- Multiplying and Dividing Complex Numbers
- Rationalizing Imaginary Denominators
- Complex Roots of the Quadratic Equation

### Matrices

- Using Matrices to Represent Data
- Adding and Subtracting Matrices
- Matrix Multiplication
- The Inverse of a Matrix
- Solving Systems with Matrix Equations
- Finding Determinants of a Matrix

### Polynomial Operations

- Writing Polynomials in Standard Form
- Simplifying Polynomials
- Adding and Subtracting Polynomials
- Multiplying and Dividing Monomials
- Multiplying a Polynomial and a Monomial
- Multiplying Binomials
- Factoring Trinomials
- Choosing a Factoring Method for Polynomials
- Factoring by GCF
- Factors and Greatest Common Factors
- Operations with Polynomials
- Even and Odd Function
- End behavior of polynomial functions
- Remainder and Factor Theorems
- Polynomial Division (Long Division)
- Polynomial Division (Synthetic Division)
- Finding zeros of polynomials
- Polynomial identities

### Functions Operations

- Function Notation
- Adding and Subtracting Functions
- Multiplying and Dividing Functions
- Composition of Functions
- Writing Functions
- Parent Functions
- Function Inverses
- Inverse Variation
- Graphing Functions
- Domain and Range of Function
- Piecewise function
- Positive, negative, increasing and decreasing functions on intervals
- Finding Average Rate of Change of a Function

### Exponential Functions

### Logarithms

- Properties of Logarithms
- Evaluating Logarithms
- Natural Logarithms
- Solving Logarithmic Equations
- The Change of Base Formula for Logarithms

### Radical Expressions

- Simplifying Radical Expressions
- Simplifying Radical Expressions Involving Fraction
- Multiplying Radical Expressions
- Adding and Subtracting Radical Expressions
- Domain and Range of Radical Functions
- Radical Equations
- Solving Radical Inequalities

### Rational and Irrational Expressions

- Rational and Irrational Numbers
- Simplifying Rational Expressions
- Graphing Rational Expressions
- Multiplying Rational Expressions
- Dividing Rational Expressions
- Adding and Subtracting Rational Expressions
- Rational Equations
- Simplifying Complex Fractions
- Maximum and Minimum Points
- Solving Rational Inequalities
- Irrational Functions
- Direct, Inverse, Joint, and Combined Variation
- Rational Exponents
- Rational Exponents and Radicals

### Conics

- Equation of Parabola
- Finding the Focus, Vertex, and Directrix of a parabola
- Standard Form of a Circle
- Finding the Center and the Radius of Circles
- Equation of Each Ellipse and Finding the Foci, Vertices, and Co– Vertices of Ellipses
- Hyperbola in Standard Form and Vertices, Co– Vertices, Foci, and Asymptotes of a Hyperbola
- Classifying a Conic Section (in Standard Form)

### Sequences and Series

- Arithmetic Sequences
- Geometric Sequences
- Arithmetic Series
- Finite Geometric Series
- Infinite Geometric Series
- Pascal’s Triangle
- Binomial Theorem
- Sigma Notation (Summation Notation)
- Alternate Series

### Trigonometric Functions

- Trig Ratios of General Angles
- Trigonometric Ratios
- Right-Triangle Trigonometry
- Angles of Rotation
- Unit Circle
- The Reciprocal Trigonometric Functions
- Function Values of Special Angles
- Function Values from the Calculator
- Reference Angles and the Calculator
- Coterminal Angles and Reference Angles
- Periodic Function
- Angles and Angle Measure
- Evaluating Trigonometric Function
- Missing Sides and Angles of a Right Triangle
- Arc length and Sector Area
- Inverse of Trigonometric Functions
- Solving Trigonometric Equations

### More Topics Trigonometric Functions

- Pythagorean Identities
- Domain and Range of Trigonometric Functions
- Cofunctions
- Law of Sines
- Law of Cosines
- Fundamental Trigonometric Identities
- Sum and Difference Identities
- Double Angle Identities
- Half-Angle Identities
- Using the Law of Cosines to Find Angle Measure

### Graphs of Trigonometric Functions

- Graph of the Sine Function
- Graph of the Cosine Function
- Amplitude, Period, and Phase Shift
- Writing the Equation of a Sine Graph
- Writing the Equation of a Cosine Graph
- Graph of the Tangent Function
- Graph of the Cosecant Function
- Graph of the Secant Function
- Graph of the Cotangent Function
- Graph of Inverse of the Sine Function
- Graph of Inverse of the Cosine Function
- Graph of Inverse of the Tangent Function
- Sketching Trigonometric Graphs

### Statistics

- Frequency and Histograms
- Box-and-Whisker Plots
- Measures of Dispersion
- Organizing Data
- Data Distribution
- Central Limit Theorem and Standard Error

### Probability

- Independent and Dependent Events
- Compound Events
- Conditional and Binomial Probabilities
- Theoretical Probability
- Experimental Probability

**Looking for the best resource to help you succeed on the Algebra 2 test? **

**The Best Books to Ace the Algebra 2**

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