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algebra

38 lessons available · 680 XP to earn

Builds on earlier topics

This branch leans on Pre-Algebra. New to it? Start there first — or just use it as a quick refresher. You can keep going either way.

Pre-Algebra

Novice

Build your foundations. No prior knowledge needed.

The Number Line & Signed NumbersDiscover negatives as mirror images, and absolute value as distance — not direction.

+10 XP

Order of OperationsWhy 2 + 3 × 4 is 14, not 20 — and the rules that make math unambiguous.

+10 XP

Evaluating ExpressionsSubstitute numbers into expressions and compute the result — the bridge between algebra and arithmetic.

+10 XP

Properties of OperationsCommutative, associative, and distributive — the three rules that make algebra work.

+10 XP

Combining Like TermsWhy 3x + 2x = 5x but 3x + 2y stays as is — and how to simplify any expression.

+10 XP

Equations as BalanceAn equation is a balanced scale. Solving means keeping it balanced while finding the unknown.

+10 XP

One-Step EquationsSolve equations by doing one inverse operation to both sides — add, subtract, multiply, or divide.

+10 XP

What is a Variable?Discover why letters exist in math — by playing with mystery containers.

+10 XP

Apprentice

Grow your skills. Start combining ideas.

Finish about half of Novice to unlock

Two-Step Equations

Multi-Step Equations

Equations with Variables on Both Sides

Ratio, Rate & Proportion

The Coordinate Plane

Linear Patterns

Slope

Slope-Intercept Form

Point-Slope & Standard Form

Linear Inequalities in Two Variables

Journeyman

Tackle complex problems with confidence.

Finish about half of Apprentice to unlock

Systems: Substitution

Systems: Elimination

Inequalities in One Variable

Compound Inequalities

Absolute Value Equations & Inequalities

Exponent Rules

Polynomials: Operations

Factoring Polynomials

Rational Expressions

Radical Equations & Extraneous Solutions

Master

Apply what you've mastered to model the real world.

Finish about half of Journeyman to unlock

Completing the Square

The Quadratic Formula

Graphing Quadratics

The Discriminant

Linear-Quadratic Systems

Functions: Domain & Range

Function Composition

Exponential Functions

Modeling with Functions

Rearranging Formulas