OPEN BETAWe're actively improving! Report issues or share suggestions

Home Courses Formula Sheets About

Stay sharp. Stay curious.

Get free formula sheets, course updates, and math tips in your inbox.

Axiom Academyin partnership with BriTheMathGuy

Making math accessible and enjoyable through interactive lessons, engaging explanations, and a passion for teaching.

Learn

All Courses
Formula Sheets
Achievements

Test Prep

SAT Math
ACT Math
GRE Quant
AP Calculus

Company

About
Contact
What's New

Legal

Privacy Policy
Terms of Service

© 2026 Axiom Academy. All rights reserved.

Built with love for math.

Home
Courses
Algebra 1

x

Algebra 1

Master the fundamentals of algebraic thinking

234Modules

11Units

1

Foundations of Algebra

Master foundations of algebra

18 modules

Number Properties VisualizedINTRO

The Language of AlgebraINTRO

The Order MattersLESSON

Order of Operations MasteryPRACTICE

Substitution PracticePRACTICE

PEMDAS in ActionLESSON

Properties in PracticeLESSON

Using Properties to SimplifyEXAMPLE

Property IdentifierPRACTICE

What is a Variable?LESSON

Evaluating Variable ExpressionsEXAMPLE

Variable PlaygroundLESSON

Variables in MotionLESSON

Expression EvaluatorLESSON

Simplifying Complex ExpressionsEXAMPLE

Foundations SummaryLESSON

Foundations Reference SheetFORMULA SHEET

Section 1 AssessmentQUIZ

2

Linear Equations

Master linear equations

19 modules

Balance and EqualityINTRO

Inequality on the Number LineINTRO

The Balance MethodLESSON

One-Step MasteryPRACTICE

Multi-Step PracticePRACTICE

Equation Solver LabLESSON

Strategic SolvingLESSON

Equation Challenge ArenaLESSON

Solving x + 5 = 12EXAMPLE

Solving 3 + 4 = 2x + 7EXAMPLE

Planning Your SolutionLESSON

Solving -2x + 5 > 11EXAMPLE

Solving and Graphing InequalitiesLESSON

Compound InequalitiesEXAMPLE

Inequality GrapherLESSON

Inequality ApplicationsPRACTICE

Linear Equations SummaryLESSON

Equations and Inequalities ReferenceFORMULA SHEET

Section 2 AssessmentQUIZ

3

Inequalities

Master inequalities

23 modules

The Vending Machine ModelINTRO

Building Linear EquationsINTRO

What Makes a Function?LESSON

Function MachineLESSON

Function Notation fEXAMPLE

Function or Not?PRACTICE

Understanding SlopeLESSON

Writing an Equation Through with Slope 3EXAMPLE

Calculating SlopeEXAMPLE

Slope from Different RepresentationsPRACTICE

Slope ExplorerLESSON

Rise Over RunLESSON

From Equation to GraphLESSON

Interactive Graphing ToolLESSON

Graphing y = 2x - 3EXAMPLE

Forms of Linear EquationsPRACTICE

Graphing PracticePRACTICE

Point-Slope FormLESSON

Line Equation WriterLESSON

Parallel and Perpendicular LinesLESSON

Functions SummaryLESSON

Functions and Lines ReferenceFORMULA SHEET

Section 3 AssessmentQUIZ

4

Functions

Master functions

24 modules

Overlapping RegionsINTRO

Adding EquationsINTRO

When Lines MeetINTRO

Graphing System SolutionsLESSON

Finding the Feasible RegionEXAMPLE

Solving by GraphingEXAMPLE

Graphical SolutionsPRACTICE

System GrapherLESSON

The Substitution StrategyLESSON

Solving 3x + 2y = 12 and 5x - 2y = 4EXAMPLE

Solving x + y = 7 and 2x - y = 2EXAMPLE

Substitution Practice LabLESSON

When to Use SubstitutionPRACTICE

The Elimination MethodLESSON

Choosing Your MethodPRACTICE

Elimination ChallengeLESSON

Complex EliminationEXAMPLE

Types of SolutionsLESSON

Inequality System DesignerLESSON

Systems ApplicationsPRACTICE

Business OptimizationLESSON

Systems SummaryLESSON

Systems Reference SheetFORMULA SHEET

Section 4 AssessmentQUIZ

5

Linear Functions and Graphs

Master linear functions and graphs

21 modules

Growth vs. LinearINTRO

Powers of PowersINTRO

Laws of ExponentsLESSON

Half-Life ProblemsEXAMPLE

Exponent Rule MatcherLESSON

Exponent ChallengePRACTICE

Zero and Negative ExponentsLESSON

Simplifying x³ · x⁵ ÷ x²EXAMPLE

Powers of 10LESSON

Writing in Scientific NotationLESSON

Converting 0.0000456 to Scientific NotationEXAMPLE

Scientific Notation OperationsPRACTICE

Scientific CalculatorLESSON

Exponential Function PropertiesLESSON

Graphing y = 2·3ˣEXAMPLE

Exponential ApplicationsPRACTICE

Exponential GrapherLESSON

Compound Interest CalculatorLESSON

Exponentials SummaryLESSON

Exponents Reference SheetFORMULA SHEET

Section 5 AssessmentQUIZ

6

Systems of Equations

Master systems of equations

27 modules

Factoring as Reverse MultiplicationINTRO

Area ModelsINTRO

Building BlocksINTRO

Polynomial VocabularyLESSON

Polynomial OperationsPRACTICE

Polynomial Arithmetic ToolLESSON

Distribution PatternsLESSON

Adding +EXAMPLE

Special ProductsLESSON

Multiplication Practice LabLESSON

MultiplyingEXAMPLE

Polynomial MultiplicationPRACTICE

GCF FactoringLESSON

Factoring x² + 5x + 6EXAMPLE

Factoring 4x² - 25EXAMPLE

Factoring 12x³ + 18x² - 6xEXAMPLE

Applications of FactoringPRACTICE

Factoring by GroupingLESSON

Difference of SquaresLESSON

Factoring StrategiesPRACTICE

Factor FinderLESSON

Zero Product PropertyLESSON

Solving x² - 5x + 6 = 0EXAMPLE

Polynomial Equation SolverLESSON

Polynomials SummaryLESSON

Polynomials Reference SheetFORMULA SHEET

Section 6 AssessmentQUIZ

7

Polynomials

Master polynomials

24 modules

Completing the SquareINTRO

The Parabola ShapeINTRO

Anatomy of a ParabolaLESSON

Word Problem WorkshopPRACTICE

Mixed Solving PracticePRACTICE

Parabola ExplorerLESSON

Solving 2x² - 5x + 1 = 0 Using the FormulaEXAMPLE

Vertex FormLESSON

Building a BridgeEXAMPLE

Graphing y = x² - 4x + 3EXAMPLE

Transforming ParabolasLESSON

The Quadratic FormulaLESSON

Solving x² + 6x + 2 = 0 by Completing the SquareEXAMPLE

Graphing QuadraticsPRACTICE

Three Methods OverviewLESSON

Solution Method SelectorLESSON

Quadratic Solver LabLESSON

Complex SolutionsLESSON

Projectile MotionLESSON

Revenue OptimizationLESSON

Quadratic ModelingLESSON

Quadratics SummaryLESSON

Quadratics Reference SheetFORMULA SHEET

Section 7 AssessmentQUIZ

8

Rational Expressions

Master rational expressions

21 modules

Fractions with VariablesINTRO

Multiplying and DividingLESSON

Multiplying / · /EXAMPLE

Adding and SubtractingLESSON

Adding 3/ + 2/EXAMPLE

Solving 2/x + 3/ = 5EXAMPLE

Rational Operations LabLESSON

Operations PracticePRACTICE

Domain RestrictionsLESSON

Rational SimplifierLESSON

Simplifying /EXAMPLE

Simplification PracticePRACTICE

Rational Equation SolverLESSON

Extraneous SolutionsLESSON

Rate and Ratio ProblemsLESSON

Work ProblemsLESSON

Applications PracticePRACTICE

Clearing DenominatorsLESSON

Rationals SummaryLESSON

Rational Expressions ReferenceFORMULA SHEET

Section 8 AssessmentQUIZ

9

Radicals and Quadratics

Master radicals and quadratics

25 modules

The Square Root FunctionINTRO

Square Roots VisualizedINTRO

Radical NotationLESSON

Simplification PracticePRACTICE

Perfect Powers IdentifierLESSON

Estimating RadicalsLESSON

Like RadicalsLESSON

Multiplying RadicalsLESSON

MultiplyingEXAMPLE

Radical Operations ToolLESSON

Operations PracticePRACTICE

Isolate and SquareLESSON

Solving √ = x - 1EXAMPLE

Adding 3√2 + 5√8 - √32EXAMPLE

Simplifying √72EXAMPLE

Radical Equation SolverLESSON

Distance Formula ApplicationLESSON

ApplicationsPRACTICE

Transforming Root FunctionsLESSON

Graphing y = 2√ + 3EXAMPLE

Radical Function GrapherLESSON

Function FeaturesPRACTICE

Radicals SummaryLESSON

Radicals Reference SheetFORMULA SHEET

Section 9 AssessmentQUIZ

10

Data and Statistics

Master data and statistics

26 modules

Exponential PatternsINTRO

Pattern RecognitionINTRO

Choosing the Right DisplayINTRO

Sequence IdentifierLESSON

Calculating Standard DeviationEXAMPLE

Creating a Box PlotEXAMPLE

Mixed Sequences PracticePRACTICE

Geometric Series FormulaLESSON

Series Sum PracticePRACTICE

Compound Interest as Geometric SequenceLESSON

Geometric Sequence FormulaLESSON

Finding Terms in 2, 6, 18, 54, ...EXAMPLE

Finding the 50th TermEXAMPLE

Arithmetic SeriesLESSON

Sequence GeneratorLESSON

Arithmetic Sequence FormulaLESSON

Statistics CalculatorLESSON

Interpreting StatisticsPRACTICE

Center and Spread ExplorerLESSON

Mean, Median, ModeLESSON

Data Display DesignerLESSON

Display SelectionPRACTICE

Statistical DisplaysLESSON

Data Analysis SummaryLESSON

Data and Sequences ReferenceFORMULA SHEET

Section 10 AssessmentQUIZ

11

Course Conclusion

Master course conclusion

6 modules

Real-World Applications PortfolioLESSON

Course Synthesis ProjectLESSON

Problem-Solving Strategies GuideLESSON

Algebra Connections MapLESSON

Master Reference SheetFORMULA SHEET

Comprehensive Final ExamQUIZ