MATH LESSONS is a free math website that explains math in a simple way, and includes lots of examples, from Counting through Calculus.

Here are the topics that She Loves Math covers, as expanded below:  Basic Math, Pre-Algebra, Beginning Algebra, Intermediate Algebra, Advanced Algebra, Pre-Calculus, Trigonometry, and Calculus.

Note: Use CTRL-F to type in search term on individual pages on PC;  for tablets, use URL or Search Box and, after typing in search term, scroll down to “On This Page” (before hit GO).

Note: Please let me know if you see any errors or have suggestions for this site at [email protected]. Thanks!

Practice problems here:


Basic Math


 Algebra Review “Cheat” Sheet

Beginning Algebra

 Intermediate Algebra

Word Problems in Algebra

Systems of Linear Equations and Word Problems

Algebraic Functions, including Domain and Range

Scatter Plots, Correlation, and Regression

Exponents and Radicals in Algebra

Introduction to Multiplying Polynomials

Introduction to Quadratics

Solving Quadratics by Factoring and Completing the Square

Quadratic Inequalities

Quadratic Applications

Solving Absolute Value Equations and Inequalities

Solving Radical Equations and Inequalities

Imaginary (Non-Real) and Numbers

Advanced Algebra

Advanced Functions: Compositions, Even and Odd, and Extrema

Inverses of Functions

Parent Functions and Transformations

Absolute Value Transformations

Piecewise Functions

The Matrix and Solving Systems with Matrices

Introduction to Linear Programming

Advanced Factoring

Rational Functions, Equations and Inequalities

Graphing Rational Functions, including Asymptotes

Graphing and Finding Roots of Polynomial Functions

Exponential Functions

Logarithmic Functions

Solving Inequalities

Solving Systems using Reduced Row Echelon Form


Parametric Equations

Sequences and Series

Binomial Expansion


Right Triangle Trigonometry

Angles and the Unit Circle 

Linear and Angular Speeds, Area of Sectors, and Length of Arcs

Graphs of Trig Functions

Transformations of Trig Functions

The Inverses of Trigonometric Functions

Solving Trigonometric Equations

Trigonometric Identities

Law of Sines and Cosines and Areas of Triangles

Polar Coordinates, Equations and Graphs

Trigonometry and the Complex Plane

Calculus (Differential)

Introduction to Calculus

Differential Calculus Quick Study Guide

Limits and Continuity

Definition of the Derivative

Basic Differentiation Rules: Constant, Power, Product, Quotient and Trig Function Rules

Equations of the Tangent Line, Tangent Line Approximation, and Rates of Change

The Chain Rule

Implicit Differentiation and Related Rates

Curve Sketching


Differentials, Linear Approximation and Error Propagation

Exponential and Logarithmic Differentiation

Derivatives of Inverse Functions

Derivatives of the Inverse Trig Functions


Calculus (Integral)

Exponential and Logarithmic  Integration

Exponential Growth using Calculus

Derivatives and Integrals of Inverse Trig Functions

Applications of Integration: Area and Volume

Integration by Parts

Integration by Partial Fractions

Integral Calculus Quick Study Guide

Antiderivatives and Indefinite Integration, including Trig Integration

U-Substitution Integration

Differential Equations and Slope Fields

L’Hopital’s Rule

Riemann Sums and Area by Limit Definition

Definite Integration