Intermediate Algebra

This Intermediate Algebra textbook is designed as a chronological course to guide you through High School Algebra (sometimes called Algebra II in some locations). This textbook assumes you have completed Arithmetic and Algebra. Although not required, Intermediate Algebra is normally taken the year after Geometry.

This book is part of a series on Algebra:

Basic Algebra
Algebra
Intermediate Algebra
Linear Algebra
Abstract Algebra
Intro to Rings and Algebras

Algebra I

Review of previous concepts

• Variables
• Real Numbers
• Exponents

First Degree Equations and Inequalities

• Expressions
• Solving Equations
• Solving Word Problems
• Absolute Value Equations
• Solving Inequalities
• Compound & Absolute Value Inequalities
• Chapter Test
• Chapter Test Answers

Linear Functions

• Functions
• Linear Equations
• The Coordinate (Cartesian) Plane
• Slope
• Writing Linear Equations
• (Optional) Scatter Plots
• Special Functions
• Graphing Inequalities

Systems of Equations

• Solving Systems of Equations By Graphing
• Algebraically Solving Systems of Equations
• Systems of Inequalities
• Solving Systems of Equations In Three Variables

Matrices

Polynomials

Polynomials

• Binomial Theorem
• Factoring Polynomials

Algebra II

Complex Numbers

Quadratic Functions and Inequalities

Polynomial Functions

Conic Sections

Conic Sections

Rational Expressions and Equations

$y=\frac{1}{x}$

This is a hyperbola with center at (0,0) and asymptotes are $y=0$ and $x=0$. The transverse axis is $y=x$.

Exponential and Logarithmic Relations

• Exponential Functions

$y=2^x$

• Logarithms

Sequences and Series

Probability and Statistics

Authors

• Jaden Mathos