Year 10 to University
Algebra Index

Algebra

Exponents

Exponential Function Reference

Exponents of Negative Numbers

Compound Interest

e - Euler's number

Exponential Growth and Decay

Exponents

Fractional Exponents

Function Grapher and Calculator

Squares and Square Roots in Algebra

Using Exponents in Algebra

Variables with Exponents - How to Multiply and Divide them

Working with Exponents and Logarithms

Inequalities

Absolute Value

Absolute Value Function

Absolute Value in Algebra

Definition of Absolute Value

Intervals

Properties of Inequalities

Solving Equations

Solving Inequalities

Solving Rational Inequalities

Substitution

Linear Equations

Balance when Adding and Subtracting

Solving Equations

Solving Inequalities

Solving Systems of Linear Equations Using Matrices

Systems of Linear Equations

Quadratic Equations

Derivation of Quadratic Formula

Solving Inequalities

Completing the Square

Definition of Quadratic Equation

Factoring Quadratics

Fundamental Theorem of Algebra

Polynomials: Sums and Products of Roots

Quadratic Equation Solver

Quadratic Equations

Solving Equations

Solving Quadratic Inequalities

Zero Product Property

Trigonometry

Cartesian Coordinates

Congruent Triangles

Domain, Range and Codomain

Right Angle Triangles

Similar Triangles

3, 4, 5 Triangle

Activity: A Walk in the Desert

Activity: Drawing Squares

Activity: Pythagoras' Theorem

Area of Triangles Without Right Angles

Definition of Cosecant

Definition of Cosine

Definition of Cotangent

Definition of Pythagoras Theorem

Definition of Secant (function)

Definition of Sine

Definition of Tangent (function)

Equation Grapher

Finding a Side in a Right Angled Triangle

Finding an Angle in a Right Angled Triangle

Function Grapher and Calculator

Graphs of Sine, Cosine and Tangent

Heron's Formula

How To Find if Triangles are Congruent

How To Find if Triangles are Similar

Interactive Triangles

Interactive Unit Circle

Inverse Functions

Inverse Sine, Cosine, Tangent

Pythagoras Theorem

Pythagorean Theorem Proof

Pythagorean Triples

Random Trigonometry

Scientific Calculator

Sine Function - Graph Exercise

Sine, Cosine and Tangent in Four Quadrants

Sine, Cosine, Tangent

Sohcahtoa: Sine, Cosine, Tangent

Solving AAA Triangles

Solving AAS Triangles

Solving ASA Triangles

Solving SAS Triangles

Solving SSA Triangles

Solving SSS Triangles

Solving Triangles

Solving Triangles by Reflection

The Law of Cosines

The Law of Sines

Triangle Identities

Triangles - Equilateral, Isosceles and Scalene

Triangles Contain 180 Degrees

Trigonometric Identities

Logarithms

Exponential Function Reference

Exponential Growth and Decay

Introduction to Logarithms

Logarithmic Function Reference

Working with Exponents and Logarithms

Matrices

Systems of Linear Equations

Determinant of a Matrix

How to Multiply Matrices

Inverse of a Matrix

Inverse of a Matrix using Elementary Row Operations (Gauss-Jordan)

Inverse of a Matrix using Minors, Cofactors and Adjugate

Matrices

Matrix Calculator

Solving Systems of Linear Equations Using Matrices

Polynomials

Degree (of an Expression)

Factoring in Algebra

Polynomials

Adding and Subtracting Polynomials

Approximate Solutions

Definition of Monomial

Definition of Polynomial

Dividing Polynomials

Factoring Quadratics

Fundamental Theorem of Algebra

General Form of a Polynomial

How Polynomials Behave

Laws of Exponents

Like Terms

Multiplying Polynomials

Polynomials - Long Division

Polynomials - Long Multiplication

Polynomials: Bounds on Zeros

Polynomials: Sums and Products of Roots

Polynomials: The Rule of Signs

Rational Expressions

Remainder Theorem and Factor Theorem

Simplify in Algebra

Solving Polynomials

Solving Rational Inequalities

Special Binomial Products

Using Exponents in Algebra

Variables with Exponents - How to Multiply and Divide them

Sets

Commutative, Associative and Distributive Laws

Inverse

Real Numbers

Definition of Additive Identity

Definition of Additive Inverse

Definition of Associative Law

Definition of Commutative Law

Definition of Distributive Law

Definition of Identity

Definition of Inverse

Definition of Multiplicative Identity

Definition of Real Numbers

Definition of Reciprocal

Definition of Set

Intervals

Introduction to Groups

Introduction to Inequalities

Sets and Venn Diagrams

Logic

Definition of Open Sentence

Knights and Knaves

Knights and Knaves 2

Lying about their age

Mathematical Induction

Open Sentences

Theorems, Corollaries, Lemmas

Triplets

Functions

Absolute Value

Parabola

Polynomials: Bounds on Zeros

Absolute Value Function

Absolute Value in Algebra

Activity: Soup Can

Asymptote

Composition of Functions

Cube Function

Definition of Domain of a function

Definition of Function

Definition of Range of a function

Domain, Range and Codomain

Evaluating Functions

Even and Odd Functions

Explore the Quadratic Equation Graph

Exponential Function Reference

Floor and Ceiling Functions

Function Grapher and Calculator

Function Transformations

Graph of an Equation

Graphing Quadratic Equations

How Polynomials Behave

Increasing and Decreasing Functions

Injective, Surjective and Bijective

Intermediate Value Theorem

Inverse Functions

Linear Equations

Logarithmic Function Reference

Maxima and Minima of Functions

Operations with Functions

Piecewise Functions

Polynomials: The Rule of Signs

Sine Function - Graph Exercise

Solving Rational Inequalities

Square Function

Square Root Function

Symmetry in Equations

What is a Function

Working with Exponents and Logarithms

Sequences and Sums

Algebra - Expanding

Combinations and Permutations

Combinations and Permutations Calculator

Factorial Function !

Irrational Numbers

Number Sequences - Square, Cube and Fibonacci

Pascal's Triangle

Activity: A Walk in the Desert

Activity: Drawing Squares

Activity: Subsets

Arithmetic Sequences and Sums

Binomial Theorem

Definition of Arithmetic Sequence

Definition of Geometric Sequence

Fibonacci Sequence

Geometric Sequences and Sums

Golden Ratio

Nature, The Golden Ratio and Fibonacci Numbers

Partial Sums

Quincunx Explained

Sequences

Sequences - Finding A Rule

Sigma Notation

Tetrahedral Number Sequence

The Pentagram

Triangular Number Sequence

And there is also the Illustrated Math Dictionary, Worksheets, Games, Puzzles and Forum.

Year 10 to UniversityAlgebra Index

Year 10 to University
Algebra Index