Foundations for AlgebraMathematical Expressions and Variables Order of Operations Combining Like Terms Equations Inequalities Functions Real NumbersGraphing Real Numbers Adding Integers Subtracting Integers Multiplying Integers Dividing Integers The Distributive Property Solving Linear EquationsOne Step Equations - Addition & Subtraction One Step Equations - Multiplication & Division Two Step Equations Equations with the Variable on Both Sides Solving Decimal Equations Solving Fraction Equations Solving Equations - Putting it all Together! Rewriting Equations in Function Form Graphing Linear EquationsThe Coordinate Plane Slope-Intercept Method Intercept Method Slope of a Line Direct Variation Solving Linear Equations by Graphing Coming soon...Writing Linear EquationsWriting Linear Equations in Slope-Intercept Form Writing Linear Equations Given the Slope and a Point Writing Linear Equations Given Two Points Point-Slope Form of a Linear Equation Standard Form of a Linear Equation Solving and Graphing Linear InequalitiesSolving One-Step Linear Inequalities Solving Multi-Step Linear Inequalities Solving Compound Inequalities Solving Absolute Value Equations and Inequalities Graphing Linear Inequalities in Two Variables Systems of Linear Equations and InequalitiesSolving Linear Systems by Graphing Solving Linear Systems by Substitution Solving Linear Systems by Linear Combinations Applications of Linear Systems Special Types of Linear Systems Solving Systems of Linear Inequalities Exponents and Exponential FunctionsMultiplication Properties of Exponents Zero and Negative Exponents Division Properties of Exponents Exponential Growth Functions Exponential Decay Functions Quadratic Equations and FunctionsSolving Quadratic Equations by Finding Square Roots Simplifying Radicals Graphing Quadratic Functions Solving Quadratic Functions by Graphing Solving Quadratic Functions by Completing the Square Solving Quadratic Functions by the Quadratic Formula Applications of the Discriminant Graphing Quadratic Inequalities Polynomials and FactoringAdding and Subtracting Polynomials Multiplying Binomials Multiplying Polynomials Special Products of Polynomials Solving Polynomial Equations in Factored Form Diamond Problems (Pre-Factoring Skills) Factoring Trinomials Factoring Special Products Factoring Using the Distributive Property Rational Equations and FunctionsRatio and Proportion Percents Simplifying Rational Expressions Multiplying and Dividing Rational Expressions Adding and Subtracting Rational Expressions Dividing Polynomials Rational Equations and Functions Radicals and Connections to GeometryFunctions Involving Square Roots Operations with Radical Expressions Solving Radical Equations The Pythagorean Theorem and Its Converse The Distance and Midpoint Formulas Classic Algebra Word ProblemsTime and Distance Problems Work Problems Plane Geometry Problems Number Problems Mixture Problems Coin Problems Age Problems Working with Data and StatisticsStem and Leaf Plots and Mean, Median, and Mode Box and Whisker Plots Probability and Odds Rates, Ratios, and Percents Coordinates and Scatter Plots Fitting a Line to Data Predicting with Linear Models Applications of Linear Systems Scientific Notation Direct and Inverse Variation |
Equations and InequalitiesExpressions and Formulas Properties of Real Numbers Solving Equations Solving Absolute Value Equations Solving Inequalities Solving Compound Inequalities Solving Absolute Value Inequalities Linear Relations and FunctionsRelations and Functions Linear Equations Slope Writing Linear Equations Using Scatterplots Identity and Constant Functions Greatest Integer and Other Step Functions Absolute Value and Other Piecewise Functions Graphing Inequalities Systems of Equations and InequalitiesSolving Systems of Equations by Graphing Solving Systems of Equations Algebraically Solving Systems of Inequalities by Graphing Linear Programming Solving Systems of Equations in Three Variables MatricesIntroduction to Matrices Operations with Matrices Multiplying Matrices Transformations with Matrices Determinants Cramer's Rule Coming soon:Identities and Inverse Matrices Using Matrices to Solve Systems of Equations Quadratic Functions and Inequalities Graphing Quadratic Functions Solving Quadratic Equations by Graphing Solving Quadratic Equations by Factoring Complex Numbers Completing the Square The Quadratic Formula and the Discriminant Analyzing Graphs of Quadratic Functions Graphing and Solving Quadratic Inequalities Polynomial FunctionsProperties of Exponents Operations with Polynomials Dividing Polynomials Polynomial Functions Analyzing Graphs of Polynomial Functions Solving Polynomial Equations The Remainder and Factor Theorems Roots and Zeros Rational Zero Theorem Radical Equations and InequalitiesOperations on Functions Inverse Functions and Relations Square Root Functions and Inequalities nth RootsOperations with Radical Expressions Rational Exponents Solving Radical Equations and Inequalities Rational Expressions and EquationsMultiplying and Dividing Rational Expressions Adding and Subtracting Rational Expressions Graphing Rational Functions Direct, Joint, and Inverse Variation Classes of Functions Solving Rational Equations and Inequalities Exponential and Logarithmic RelationsExponential Functions Logarithms and Logarithmic Functions Properties of Logarithms Common Logarithms Base e and Natural LogarithmsExponential Growth and Decay Conic SectionsMidpoint and Distance Formulas Parabolas Circles Ellipses Hyperbolas Conic Sections Solving Quadratic Systems Sequences and SeriesArithmetic Sequences Arithmetic Series Geometric Sequences Geometric Series Infinite Geometric Series Recursion and Special Sequences Proof and Mathematical Induction Probability and StatisticsThe Counting Principle Permutations and Combinations Probability Multiplying Probabilities Adding Probabilities Statistical Measures The Normal Distribution The Binomial Theorem Exponential and Binomial Distribution Binomial Experiments Sampling and Error Trigonometric FunctionsRight Triangle Trigonometry Angles and Angle Measure Trigonometric Functions and General Angles Law of Sines Law of Cosines Circular Functions Inverse Trigonometric Functions Trigonometric Graphs and IdentitiesGraphing Trigonometric Functions Translations of Trigonometrics Graphs Trigonometric Identities Verifying Trigonometric Identities Sum and Difference of Angles Formulas Double-Angle and Half-Angle Formulas Solving Trigonometric Equations |