FREE MATH LESSONS
For more than ten years, ChiliMath has been committed to helping students excel in algebra, offering over 150 free lessons. Our resources span Introductory, Intermediate, and Advanced Algebra, providing comprehensive support for every learning stage.
We have steadily expanded our tutorials to include new subjects such as Geometry, Trigonometry, Basic Number Theory, and Basic Math Proofs. Additionally, a dedicated section for Algebra Word Problems has been introduced and will continue to grow. Quizzes are also available to help you practice and refine your skills.
Recognizing that math can be challenging, these lessons are designed to be clear and accessible, featuring numerous examples and detailed, step-by-step solutions to enhance understanding.
These lessons are designed to complement your existing math resources and expand your understanding of mathematical concepts.
Thank you for your continued support of ChiliMath. Explore and utilize these resources to further your studies. Good luck!
List of All Math Lessons
- Absolute Value Equations Exercises
- Absolute Value Inequalities
- Addition and Subtraction on Number Line
- Fractions Addition & Subtraction with Unlike Denominators
- Fractions Addition & Subtraction with Same Denominator
- Add and Subtract Radicals
- Addition of Integers Exercises
- Addition and Subtraction of Matrices
- Addition and Subtraction of Polynomials
- Addition and Subtraction of Rational Expressions
- Addition and Subtraction of Fractions with Like Denominators Exercise
- Addition and Subtraction of Fractions with Different Denominators Exercise
- Integer Addition
- Age Problems
- Algebraic Expressions
- Algebraic Expressions Worked Examples
- Algebraic Sentences Problems
- Factors of Numbers
- Factors of 1 to 100
- Factors of 101 to 200
- Factors of 201 to 300
- Factors of 301 to 400
- Factors of 401 to 500
- Factors of 501 to 600
- Factors of 601 to 700
- Factors of 701 to 800
- Factors of 801 to 900
- Factors of 901 to 1000
- Angle Pair: Alternate Exterior Angles
- Angle Pair: Alternate Interior Angles
- Altitude or Height of Triangle
- Angle Addition Postulate
- Angle Pairs
- Angles
- Area of Circle
- Area of Circle Exercises
- Area of Rectangle
- Area of Semicircle
- Area of Triangle
- Area of Equilateral Triangle
- Area of Parallelogram
- Area of Rhombus
- Area of Square
- Area of the Sector of Circle
- Area of Trapezoid
- Arithmetic Sequence: Definition and Basic Examples
- Arithmetic Sequence
- Arithmetic Sequence Practice Problems
- Arithmetic Series
- Arithmetic Series Exercises
- Basic Math Shapes
- Properties of Numbers
- Simple Proportions
- Celsius to Fahrenheit
- Change of Base Formula
- Circumference of Circle
- Classification of Real Numbers
- Triangle Classification by Angles
- Triangle Classification by Sides
- Coin Problems
- Combining Similar Terms
- Combine or Condense Logs
- Angle Pair: Complementary Angles
- Completing the Square (Examples)
- Completing the Square
- Composition of Function
- Converse, Inverse & Contrapositive of Conditional Statement
- Convert Between Degrees and Radians
- Converting Between Degrees and Radians Exercises
- Corresponding Angles
- Cramer’s Rule for 3×3 System
- Cramer’s Rule for 2×2 System
- Derivation of Distance Formula
- Derivation of Pythagorean Theorem
- Derivation of the Arithmetic Series Formula
- Derivation of Quadratic Formula
- Derivation of Formula for Area of Trapezoid
- Descartes’ Rule of Signs
- Determinant of 2×2 Matrix
- Determinant of 2×2 Matrix Exercises
- Determinant of 3×3 Matrix
- Determinant of 3×3 Matrix Exercises
- Direct Variation
- Distance between Point and Line
- Distance Formula
- Distance Formula Exercises
- Distributive Property
- Dividing Complex Numbers
- Dividing Factorials
- Division of Fractions
- Division of Integers Exercises
- Rules for Divisibility of 2, 3, 4, 5, 6, 9, and 10
- Rules for Divisibility of 7, 11, and 12
- Integer Division
- Elimination Method
- Parallel and Perpendicular Lines
- Equivalent Fractions
- Evaluating Function
- How to tell whether a function is even, odd or neither
- Even Numbers
- Expanding Logs
- Factorial Notation and Formula
- Factoring Difference of Squares
- Factoring Difference of Two Squares Exercises
- Sum and Difference of Cubes
- Sum and Difference of Two Cubes Exercises
- Factoring Trinomial: Box Method
- Factoring Trinomial A=1
- Factoring Trinomial a≠1
- Fahrenheit to Celsius
- Fahrenheit to Celsius Exercises
- Factoring Numbers with Rainbow Method
- Domain and Range of Linear and Quadratic Functions
- Domain and Range of Radical and Rational Functions
- X and Y Intercepts
- FOIL Method
- Fundamental Theorem of Arithmetic
- Generate Pythagorean Triplets
- Geometric Sequence
- Geometric Series
- Geometric Series Exercises
- Graph Line using Slope & y-intercept
- Graph a Line using Table of Values
- Graph Line using x and y Intercepts
- Graphing Absolute Value Functions
- Graphing Linear Inequalities
- Graphing Linear Inequalities: Examples
- Graphing Systems of Linear Inequalities
- Graphing Vertical and Horizontal Lines
- Parent Functions
- Use List Method to Find GCF
- Heron’s Formula
- Heron’s Formula Exercises
- Horizontal Line Test
- Graphing Linear Equations
- If a | b and b | c, then a|c.
- If a < b, then a < (a+b)/2 < b.
- If n^2 is even, then n is even.
- If n^2 is odd, then n is odd.
- Infinite Geometric Series
- Interval Notation
- Interval Notation Exercises
- Intro to Truth Tables, Statements, and Connectives
- Inverse of a 2×2 Matrix
- Inverse of Absolute Value Function
- Inverse of Constant Function
- Inverse of Exponential Function
- Inverse of Linear Function
- Inverse of Logarithmic Function
- Inverse of Quadratic Function
- Inverse of Rational Function
- Inverse of Square Root Function
- Inverse Variation
- Sine Rule
- LCM of Two Numbers Exercises
- Use List Method to Find LCM
- Length Problems
- List of Even Numbers
- List of Odd Numbers
- List of Partial Sums up to 1,000
- Prime Factorizations from 2 to 200
- Prime Factorizations from 201 to 400
- Prime Factorizations from 401 to 600
- Prime Factorizations from 601 to 800
- Prime Factorizations from 801 to 1,000
- Prime Numbers up to 10,000
- List of Pythagorean Triples
- Literal Equations
- Literal Equations Exercises
- Log Rules Exercises
- Logarithm Rules
- Logarithms Explained
- Mathematical Induction
- Mathematical Induction for Divisibility
- Matrix to Matrix Multiplication
- Mean, Median, Mode and Range
- Meaning of a|b or a pipe b
- Midpoint Formula
- Multi-Step Equations Exercises
- Multiples of Numbers 1-100
- Integer Multiplication
- Multiplication Table of 1
- Multiplication Table of 10
- Multiplication Table of 2
- Multiplication Table of 3
- Multiplication Table of 4
- Multiplication Table of 5
- Multiplication Table of 6
- Multiplication Table of 7
- Multiplication Table of 8
- Multiplication Table of 9
- Multiplication and Division of Signed Numbers
- Multiplication of Complex Numbers
- Multiplication of Fractions
- Multiplication of Integers Exercises
- Polynomials Multiplication
- Multiplication of Radicals
- Multiplication of Rational Expressions
- Odd Numbers
- One-Step Equations Exercises
- Order of Operations (PEMDAS)
- Order of Operations Exercises
- Partial Fraction Decomposition
- PEMDAS Rule
- Perfect Square Trinomial
- Perimeter of Rectangle Problems
- Perimeter of Rectangle
- Perimeter of Square
- Plotting Points on the Coordinate Plane
- Point-Slope Form
- Long Division Polynomial
- Prime Factorization Chart Numbers 2 to 100
- Prime Factorization of an Integer
- Product of GCF and LCM
- Proof by Contradiction
- The Square Root of a Prime Number is Irrational.
- Proofs of Log Properties
- Properties of Equality
- Real Number Properties
- Proof: √(2) is irrational.
- Pythagorean Theorem
- Pythagorean Theorem Exercises
- Pythagorean Triplets
- Quadratic Formula Exercises
- Radical Equations Practice Problems with Answers
- Rational Root Theorem
- Rationalize the Denominator
- Ratios
- Reciprocal of Fraction
- Relations and Functions
- Remainder Theorem
- Exponent Rules
- Matrix Scalar Multiplication
- Segment Addition Postulate
- Simplification of Complex Fractions
- Simplification of Factorials with Variables
- Simplifying Fractions
- Simplification of Radicals
- Slope Formula
- Slope-Intercept Form
- Different Types of Slopes
- Slopes of Parallel & Perpendicular Lines
- Solving Absolute Value Equations
- Compound Inequalities
- Solving Exponential Equations with Logs
- Solving Exponential Equations without Logs
- Linear Inequalities
- Logarithmic Equations
- Multi-Step Equations
- One-Step Equations
- Solving Quadratics by Completing the Square
- Solving Quadratics by Factoring Method
- Solving Quadratics by the Quadratic Formula
- Solving Quadratics by Square Root Method
- Radical Equations
- Rational Equations
- Rational Inequalities
- Tough Absolute Value Equations
- Two-Step Equations
- Substitution Method Exercises
- Substitution Method
- Subtraction of Integers Exercises
- Integer Subtraction
- Sum of Two Even Numbers is Even
- Sum of Two Odd Numbers is Even
- Angle Pair: Supplementary Angles
- Synthetic Division
- Systems of Nonlinear Equations
- The Quadratic Formula
- Real Numbers
- Sum of Consecutive Even Integers
- Sum of Consecutive Integers
- Sum of Consecutive Odd Integers
- There are infinitely many prime numbers.
- Truth Tables of Five Common Operators
- Truth Tables Exercises
- Two-Step Equations Exercises
- Types of Angles
- Find GCF by Prime Factorization
- Find LCM by Prime Factorization
- Determine or Show if Two Functions are Inverses
- Vertex Form of Parabola
- Angle Pair: Vertical Angles
- Vertical Line Test
- Volume of Sphere
- Volume of Sphere Exercises
- Expressing Numbers in Scientific Notation
- Zero Factorial