Year 10 to University
Algebra Index

Algebra
Dividing by Zero
Activity: Buffon's Needle
Activity: Soup Can
Algebra - Definitions
Algebra Mistakes
Change of Variables
Conjugate
Definition of Difference of Squares
Definition of Radical
Definition of Standard Form (Numbers)
Definition of Trinomial
Degree (of an Expression)
Difference of Two Cubes
Equations and Formulas
Factoring in Algebra
Factoring Quadratics
Fractional Exponents
Fractions in Algebra
Introduction to Algebra
Introduction to Algebra - Multiplication
Mathematical Models
nth Roots
Partial Fractions
Rational Expressions
Rationalize the Denominator
Scientific Notation / Standard Form
Solving Equations
Solving Polynomials
Solving Radical Equations
Solving Rational Inequalities
Special Binomial Products
Squares and Square Roots in Algebra
Standard Form
Using Rational Expressions
Zero Product Property
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
Laws of Exponents
Negative Exponents
nth Roots
Reciprocal
Reciprocal Function
Square Root Function
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
Trigonometry
Unit Circle
Logarithms
e - Euler's number
Inverse Functions
Irrational Numbers
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
Introduction to Sets
Number Line
Power Set
Power Set Maker
Set-Builder Notation
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
Quadratic Equations
Rational Expressions
Reciprocal Function
Set-Builder Notation
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

 

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