Algebra
Equations, polynomials, functions, and formulas — from linear equations to quadratics and beyond.
Absolute Value4
Absolute value definition, equations, inequalities, and rules
Algebra Vocabulary & General Concepts49
Core algebra vocabulary, properties, and general mathematical concepts
Conic Sections16
Ellipses, hyperbolas, circles, and their equations
Coordinate Geometry & Analytic Methods31
Coordinate plane, distance formula, midpoint, analytic geometry, and coordinate systems
Exponentials & Logarithms21
Exponential functions, logarithms, growth/decay, and their properties
Financial Mathematics9
Interest, annuities, present/future value, and financial formulas
Functions & Relations51
Function notation, domain, range, types of functions, and function operations
Graph Transformations & Symmetry23
Translations, reflections, stretches, compressions, and symmetry of graphs
Inequalities & Interval Notation27
Inequalities, compound inequalities, absolute value inequalities, interval notation, and complex numbers
Inference & Regression17
Linear regression, correlation, hypothesis testing, and statistical inference
Linear Equations & Graphs34
Slope, linear equations, systems of equations, and graphing lines
Matrices & Linear Algebra37
Matrix operations, determinants, inverses, eigenvalues, and systems solved with matrices
Polynomials & Factoring46
Polynomial operations, factoring, synthetic division, and polynomial theorems
Probability & Counting16
Combinations, permutations, probability rules, and counting principles
Quadratic Equations & Parabolas19
Quadratic formula, factoring quadratics, discriminant, vertex form, and parabolas
Radicals & Rational Expressions14
Radicals, radical equations, rational expressions, and rationalizing
Sequences & Series26
Arithmetic and geometric sequences, series, summation notation, and convergence
Statistics & Data Displays26
Descriptive statistics, data visualization, distributions, and sampling
Variation & Proportion7
Direct, inverse, and joint variation; proportional relationships
All Algebra Terms A–Z (473)
- Abscissa
- Absolute Value
- Absolute Value Equation
- Absolute Value Function
- Absolute Value Inequality
- Absolute Value of a Complex Number
- Absolute Value Rules
- Acceleration
- Additive Inverse of a Matrix
- Additive Inverse of a Number
- Adjugate
- Algebra
- Amortization
- Analytic Geometry
- Analytic Methods
- Angle of Inclination of a Line
- Annuity
- Argument of a Complex Number
- Argument of a Function
- Arithmetic Sequence
- Arithmetic Series
- Asymptote
- Augmented Matrix
- Axes
- Axis of Symmetry
- Axis of Symmetry of a Parabola
- Back-Substitution
- Bar Graph
- Base in an Exponential Expression
- Biconditional
- Big O Notation
- Binary / Base 2
- Binomial Coefficients
- Binomial Coefficients in Pascal's Triangle
- Binomial Theorem
- Bivariate Data
- Boolean Logic
- Bounded Function
- Bounded Sequence
- Cartesian Coordinates
- Cartesian Form
- Categorical Data
- Ceiling Function
- Change of Base Formula
- Chi-Square Test
- Circle Graph (Pie Chart)
- Cis
- Classical Adjoint
- Closed Interval
- Coefficient
- Coefficient Matrix
- Coefficient of Determination (R²)
- Cofactor
- Cofactor Matrix
- Column of a Matrix
- Combination
- Combination Formula
- Combinatorics
- Common Logarithm
- Common Ratio
- Compatible Matrices
- Completing the Square
- Complex Conjugate
- Complex Number Formulas
- Complex Numbers
- Complex Plane
- Composition
- Compound Fraction
- Compound Inequality
- Compound Interest
- Compression
- Compression of a Graph
- Compute
- Conditional Equation
- Conditional Inequality
- Confidence Interval
- Conic Sections
- Conjugate Pair Theorem
- Conjugates
- Consistent System of Equations
- Constant Function
- Constant of Proportionality
- Constant Polynomial
- Continuous Function
- Continuously Compounded Interest
- Converge
- Convergent Sequence
- Convergent Series
- Coordinate Grid
- Coordinate Plane
- Coordinates
- Correlation vs. Causation
- Cost Function
- Cramer's Rule
- Cross Multiplication
- Cross Section
- Cube Root
- Cubic Polynomial
- Cumulative Frequency
- De Moivre's Theorem
- Decay Factor
- Decreasing Function
- Degenerate
- Degree of a Polynomial
- Degree of a Term
- Dependent Events
- Dependent Variable
- Descartes' Rule of Signs
- Determinant
- Diagonal Matrix
- Difference of Cubes
- Difference of Squares
- Dilation
- Dilation of a Graph
- Dimensional Analysis
- Dimensions
- Dimensions of a Matrix
- Direct Variation
- Discontinuity
- Discontinuous Function
- Discriminant of a Quadratic
- Distance Formula
- Distance from a Point to a Line
- Distinct
- Distribute
- Distributing Rules
- Distributive Property
- Diverge
- Divergent Sequence
- Divergent Series
- Divisibility Rules
- Domain
- Domain of Definition
- Dot Plot
- Double Cone
- Double Root
- Doubling Time
- e
- Eigenvalue
- Eigenvector
- Element of a Matrix
- Ellipse
- Empirical Rule (68-95-99.7 Rule)
- End Behavior
- Equation
- Equation of a Line
- Equation vs. Expression
- Equivalent Systems of Equations
- Euclidean Distance
- Euler's Formula
- Evaluate
- Even Function
- Existential Quantifier
- Expansion by Cofactors
- Expected Value
- Experimental Probability
- Explicit Formula of a Sequence
- Exponent Rules
- Exponential Decay
- Exponential Equation
- Exponential Function
- Exponential Growth
- Exponential Regression
- Expression
- Extraneous Solution
- Extrapolation
- Extrema
- Extreme Values of a Polynomial
- Factor of a Polynomial
- Factor Theorem
- Factored Form
- Factorial
- Factoring Rules
- Fibonacci Sequence
- Floor Function
- Focus (conic section)
- FOIL Method
- Frequency Table
- Function
- Function Notation
- Function Operations
- Fundamental Counting Principle
- Fundamental Theorem of Algebra
- Future Value
- Gaussian Elimination
- Geometric Mean
- Geometric Sequence
- Geometric Series
- Graph of an Equation or Inequality
- Graph Theory
- Graphic Methods
- Gravity
- Growth Factor
- Half-Life
- Half-Open/Half-Closed Interval
- Harmonic Mean
- Harmonic Sequence
- Harmonic Series
- Hexadecimal
- Histogram
- Hole (in a Graph)
- Horizontal Asymptote
- Horizontal Line Equation
- Horizontal Line Test
- Horizontal Reflection
- Horizontal Shift
- Horizontal Shrink
- Horizontal Stretch
- Hyperbola
- Identity
- Identity Matrix
- Identity of an Operation
- Identity Property of Addition
- Identity Property of Multiplication
- Imaginary Numbers
- Imaginary Part
- Improper Rational Expression
- Inconsistent System of Equations
- Increasing Function
- Independent Variable
- Inequality Rules
- Infinite Geometric Series
- Infinite Series
- Interest
- Interpolation
- Interval
- Interval Notation
- Inverse
- Inverse Function
- Inverse of a Matrix
- Inverse Operations
- Inverse Variation
- Invertible Matrix
- Joint Variation
- Law of Large Numbers
- Leading Coefficient
- Leading Coefficient Test
- Leading Term
- Like Terms
- Line of Best Fit
- Linear
- Linear Combination
- Linear Equation
- Linear Fit
- Linear Inequality
- Linear Polynomial
- Linear Programming
- Linear Regression
- Linear System of Equations
- Literal Equation
- Locus
- Logarithm
- Logarithm Rules
- Logarithmic Equation
- Logical Equivalence
- Logistic Growth
- Main Diagonal of a Matrix
- Major Axis of a Hyperbola
- Major Axis of an Ellipse
- Major Diameter of an Ellipse
- Margin of Error
- Mathematical Model
- Matrix
- Matrix Addition
- Matrix Multiplication
- Matrix Subtraction
- Matrix Transformation
- Mean Absolute Deviation (MAD)
- Member of an Equation
- Midpoint
- Midpoint Formula
- Minor Axis of a Hyperbola
- Minor Axis of an Ellipse
- Minor Diameter of an Ellipse
- Monomial
- Multiplicity
- Multivariable
- Natural Logarithm
- Negation
- Negative Exponents
- Negative Reciprocal
- Nonreal Numbers
- Nontrivial
- Normal Distribution
- nth Partial Sum
- nth Root
- Null Hypothesis
- Oblique
- Oblique Asymptote
- Octants
- Odd Function
- Odds in Gambling
- One Dimension
- One-to-One Function
- Open Interval
- Order of Operations (PEMDAS)
- Ordinate
- Origin
- Outlier Rule (1.5 x IQR)
- Oval
- Overdetermined System of Equations
- p-value
- Paired Data
- Parabola
- Parallel Slopes
- Parent Functions
- Partial Fractions
- Partial Sum of a Series
- Per Annum
- Percent / Percentage
- Percent Change
- Percent Error
- Perfect Square Trinomial
- Permutation
- Permutation Formula
- Perpendicular Slopes
- Piecewise Continuous Function
- Piecewise Function
- Piecewise Linear Function
- Place Value
- Point of Symmetry
- Point-Slope Equation of a Line
- Polar Form of a Complex Number
- Polynomial
- Polynomial Facts
- Polynomial Function
- Polynomial Inequality
- Polynomial Long Division
- Positive Series
- Present Value
- Principal
- Probability Distribution
- Projectile Motion Formula
- Proper Rational Expression
- Proportion
- Proportional
- Quadrants
- Quadratic
- Quadratic Equation
- Quadratic Formula
- Quadratic Function
- Quadratic Polynomial
- Quadratic Regression
- Quantitative Data
- Quartic Polynomial
- Quintic Polynomial
- Radical Equation
- Radical Rules
- Random Sample
- Random Variable
- Range
- Rate of Change
- Rational Equation
- Rational Exponents
- Rational Expression
- Rational Function
- Rational Inequality
- Rational Root Theorem
- Rationalizing the Denominator
- Real Part
- Recursion
- Recursive Formula
- Reduced Row-Echelon Form of a Matrix
- Reflection
- Regression
- Regression Equation
- Relation
- Relative Frequency
- Remainder Theorem
- Removable Discontinuity
- Residual Plot
- Restricted Domain
- Restricted Function
- Rigid Transformation
- Root
- Row of a Matrix
- Row Operations
- Row Reduction
- Sampling
- Sampling Bias
- Satisfy
- Scalar Multiplication of a Matrix
- Scatterplot
- Sequence
- Sequence of Partial Sums
- Series
- Set-Builder Notation
- Shift
- Sigma Notation
- Sigmoid Function
- Significance Level (Alpha)
- Simplify
- Simultaneous Equations
- Singular Matrix
- Slope Formula
- Slope of a Line
- Slope-Intercept Equation of a Line
- Solution
- Solve
- Solve Analytically
- Solve Graphically
- Speed
- Square Matrix
- Square Root Rules
- Square System of Equations
- Standard Deviation
- Standard Form for the Equation of a Line
- Standard Form of a Quadratic
- Standard Position
- Statistic
- Step Function
- Sum of Cubes
- Symmetric
- Symmetric with Respect to the Origin
- Symmetric with Respect to the x-axis
- Symmetric with Respect to the y-axis
- Synthetic Division
- Synthetic Substitution
- System of Inequalities
- Term
- The Imaginary Number i
- Theoretical Probability
- Three Dimensional Coordinates
- Time Series
- Transformations
- Translation (Geometry)
- Transpose of a Matrix
- Tree Diagram
- Triangle Inequality with Absolute Value
- Trinomial
- Triple Root
- Truth Table
- Two Dimensions
- Two Intercept Form for the Equation of a Line
- Two-Way Table
- Type I Error
- Type II Error
- Undefined Slope
- Underdetermined System of Equations
- Unit Rate
- Univariate Data
- Universal Quantifier
- Variable
- Variance
- Vector Space
- Velocity
- Verify a Solution
- Vertex Form
- Vertex of a Parabola
- Vertical Asymptote
- Vertical Line Equation
- Vertical Line Test
- Vertical Reflection
- Vertical Shift
- Vertical Shrink
- Vertical Stretch
- Vertices of a Hyperbola
- Vertices of an Ellipse
- Weighted Mean
- x-axis
- x-intercept
- x-y Plane
- x-z Plane
- y-axis
- y-intercept
- y-z Plane
- z-intercept
- Z-Score
- Zero Matrix
- Zero of a Function
- Zero Product Property
- Zero Property of Multiplication
- Zero Slope
Frequently Asked Questions
What is algebra?
Algebra is a branch of mathematics that uses variables (letters like x and y) to represent unknown values. It involves solving equations, working with expressions, and understanding functions and their graphs.
What topics are covered in Algebra 1 vs Algebra 2?
Algebra 1 covers linear equations, inequalities, systems of equations, polynomials, and basic factoring. Algebra 2 extends into quadratic functions, exponential and logarithmic functions, complex numbers, and sequences and series.
Why is algebra important?
Algebra develops logical thinking and problem-solving skills. It is essential for careers in science, engineering, medicine, economics, and technology. Nearly every standardized math test (SAT, ACT, GRE) emphasizes algebraic reasoning.