How to Learn Algebra
A structured path through Algebra — from first principles to confident mastery. Check off each milestone as you go.
Algebra Learning Roadmap
Click on a step to track your progress. Progress saved locally on this device.
Pre-Algebra Foundations
2 weeksReview arithmetic operations, order of operations (PEMDAS), fractions, decimals, and integers. Build fluency with negative numbers and basic number properties that underpin all of algebra.
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Variables, Expressions, and Basic Equations
3 weeksLearn to use variables to represent unknowns, evaluate and simplify algebraic expressions, and solve one-step and two-step linear equations using inverse operations.
Linear Equations and Inequalities
3 weeksMaster multi-step linear equations, literal equations, and inequalities. Graph linear equations using slope-intercept and point-slope forms. Understand absolute value equations and compound inequalities.
Systems of Equations
2 weeksSolve systems of two and three linear equations using graphing, substitution, and elimination methods. Interpret solutions graphically and apply systems to word problems and real-world modeling.
Polynomials and Factoring
3 weeksAdd, subtract, multiply, and divide polynomials. Master factoring techniques including GCF, grouping, difference of squares, and trinomial factoring. Apply the zero product property to solve polynomial equations.
Quadratic Equations and Functions
3 weeksSolve quadratic equations by factoring, completing the square, and the quadratic formula. Analyze parabolas, find vertices and axes of symmetry, and use the discriminant to determine the nature of solutions.
Exponents, Logarithms, and Radical Expressions
3 weeksApply laws of exponents to simplify expressions. Understand rational exponents, radicals, and their properties. Learn logarithmic functions, their properties, and how to solve exponential and logarithmic equations.
Functions, Sequences, and Matrices
3 weeksExplore function notation, composition, and inverses. Study arithmetic and geometric sequences and series. Learn matrix operations including addition, multiplication, determinants, and solving systems with matrices.
Explore your way
Choose a different way to engage with this topic — no grading, just richer thinking.
Explore your way — choose one: