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Overview and history of algebra: Algebra foundations Introduction to variables: Algebra foundations Substitution and evaluating expressions: Algebra foundations Evaluating expressions word problems: Algebra foundations Writing algebraic expressions introduction: Algebra foundations Combining like terms: Algebra foundations Introduction to equivalent algebraic expressions: Algebra foundations Interpreting linear expressions: Algebra foundations Division by zero: Solving equations Why we do the same thing to both sides of an equation: Solving equations Two-steps equations intro: Two-step equation word problems: Solving equations Linear equations with variables on both sides: Solving equations Linear equations with parentheses: Solving equations Analyzing the number of solutions to linear equations: Solving equations Linear equations word problems: Solving equations Linear equations with unknown coefficients: Introduction to inequalities with variables: Solving inequalities One-step inequalities: Solving inequalities Two-step inequalities: Solving inequalities Compound inequalities: Working with units Appropriate units: Working with units Word problems with multiple units: Two-variable linear equations intro: Forms of two-variable linear equations: Functions Inputs and outputs of a function: Functions Functions and equations: Functions Interpreting function notation: Functions Introduction to the domain and range of a function: Functions Determining the domain of a function: Functions Maximum and minimum points: Functions Intervals where a function is positive, negative, increasing, or decreasing: Functions Interpreting features of graphs: Functions Average rate of change: Functions Average rate of change word problems: Interpreting linear functions and equations: Linear word problems Comparing linear functions: Linear word problems Constructing linear models for real-world relationships: Linear models word problems: Introduction to arithmetic sequences: Sequences Constructing arithmetic sequences: Sequences Introduction to geometric sequences: Sequences Modeling with sequences: Introduction to systems of equations: Systems of equations Equivalent systems of equations and the elimination method: Systems of equations Solving systems of equations with substitution: Manipulating expressions with unknown variables: Systems of equations Number of solutions to systems of equations: Systems of equations Solving any system of linear equations: Systems of equations Systems of equations word problems: Checking solutions of two-variable inequalities: Graphs of absolute value functions: Properties of exponents rational exponents: Polynomials Adding and subtracting polynomials: Multiplying monomials by polynomials: Polynomials Multiplying binomials by polynomials: Polynomials Special products of binomials: Polynomials Polynomials word problems: Factorization Factoring polynomials by taking common factors: Factorization Evaluating expressions with unknown variables: Factorization Factoring quadratics intro: Factoring quadratics by grouping: Factorization Factoring polynomials with quadratic forms: Factorization Strategy in factoring quadratics: Factorization Factoring polynomials with special product forms: Quadratics Quadratic factored form: Quadratics Solving quadratics by taking square roots: Quadratics Quadratic vertex form: Quadratics Solving quadratics by factoring: Quadratics The quadratic formula: Quadratics Quadratic standard form: Irrational numbers Sums and products of rational and irrational numbers: Irrational numbers Proofs concerning irrational numbers: Intro to the coordinate plane Overview and history of algebra.

Intro to slope Slope.

### Algebra I | Khan Academy

What is a function? Perfect squares Factoring quadratics: Systems of equations with graphing Introduction to systems of equations. Simplifying square roots review Simplifying square roots. Average rate of change review Average rate of change word problems.

Geometric sequences review Constructing geometric sequences. Arithmetic sequences review Constructing arithmetic sequences.

## CHEAT SHEET

Slope-intercept form review Writing slope-intercept equations. Get Started Overview and history of algebra. Did you realize that the word “algebra” comes from Arabic just like “algorithm” and “al jazeera” and “Aladdin”? And what is so great about algebra anyway?

This tutorial doesn’t explore algebra so much as it introduces the history and ideas that underpin it.