About Algebra
Mathematics grows by connecting definitions, patterns, models, calculations, and proof. This page builds the topic from basic ideas toward applications and deeper reasoning.
Variables
Variables are symbols representing numbers.
Learn MoreExpressions
Expressions combine numbers, variables, and operations.
Learn MoreEquations
Equations state that two expressions are equal.
Learn MoreInequalities
Inequalities compare quantities that may not be equal.
Learn MorePatterns
Algebra captures repeating and growing patterns.
Learn MoreFunctions
Functions assign one output to each allowed input.
Learn MoreSlope
Slope measures rate of change for a line.
Learn MoreGraphs
Graphs visualize algebraic relationships.
Learn MoreVariables
They may stand for unknown values or quantities that can change.
Expressions
An expression such as 3x plus 5 represents a value but does not state equality by itself.
Equations
Solving means finding values that make the statement true while preserving equality on both sides.
Inequalities
They often describe ranges of possible solutions rather than one exact number.
Patterns
Rules can predict later terms and generalize a pattern beyond examples.
Functions
They can be represented with equations, tables, graphs, words, or diagrams.
Slope
It compares vertical change with horizontal change and can be positive, negative, zero, or undefined.
Graphs
Intercepts, slopes, curves, and intersections can reveal patterns that are harder to see symbolically.