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.

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

Polynomials

/Polynomials/

• /Binomial Theorem/
• /Factoring Polynomials/

Algebra II

/Complex Numbers/

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/

Authors

• Jaden Mathos