MAIN MENU

Mathematics and Statistics

Mathematics in Review Video Series

Outline

Outline

  • Arithmetic
    • Number Theory
      • Commutative Properties of Addition and Multiplication
      • Associative Properties of Addition and Multiplication
      • Additive and Multiplicative Inverse Properties
      • Additive and Multiplicative Identity Properties
      • Zero Property of Multiplication
      • Distributive Properties (non-algebraic)
    • Number Systems
      • Definition of Closure
      • Whole and Natural Numbers
        • Definition
        • Arithmetic of Whole and Natural Numbers (retaining closure)
        • Prime Factorization
        • Exponents on (a.k.a. Powers of) Natural Numbers
        • Square Roots of Natural Numbers (retaining closure)
        • Natural-numbered Roots of Natural Numbers (retaining closure)
        • Order of Operations (retaining closure)
        • Estimation Techniques
        • Applications
      • Integers
        • Definition
        • Arithmetic of Integers (retaining closure)
        • Exponents on Integers (retaining closure)
        • Natural-numbered Roots on Integers (retaining closure)
        • Definition of Absolute Value
        • Absolute Value of Integers
        • Estimation Techniques
        • Applications
      • Rational Numbers
        • Definition
        • Mixed Numbers, Proper, and Improper Fractions
        • Simplification of Rational Numbers
        • Arithmetic of Rational Numbers
        • Converting Between Mixed and Fractional Form
        • Converting Between Decimals and Fractions
        • Rounding and Truncation
        • Definition and Simplification of Compound Fractions
        • Exponents on Rational Numbers
        • Natural-numbered Roots of Rational Numbers (retaining closure)
        • Rational Exponents (retaining closure)
        • Application: Ratios and Proportions
        • Application: Percent
        • Application: Scientific Notation
        • Estimation Techniques
    • Irrational Numbers
    • Simplification
    • The Four Operations
    • Rationalizing Numerators and Denominators
    • Applications
    • Pythagorean Theorem
    • pi: Area and Circumference of a Circle
    • Real Numbers
    • Complex Numbers
    • i
    • The Four Operations
    • Units of Measurement
    • Unit Conversion
    • Unit Analysis
    • Finance
    • Simple Interest
    • Compound Interest
    • Statistics
    • Mean, Median, and Mode
    • Geometry
    • Lines and Angles
    • Points
    • Lines
    • Rays
    • Line Segments
    • Triangles
    • Angles and Angle Sums
    • Perimeter and Area
    • Similar Triangles
    • Quadrilaterals
    • Perimeter and Area
    • Circles
    • Circumference and Area
    • Combined Figures
    • Perimeter and Area
    • Set Theory
    • Standard Set Notation
    • Set-builder Notation
    • Intervals
    • Algebraic Expressions
    • Variables
    • Addition and Subtraction
    • Like Terms
    • Review: Distributive Property
    • Multiplication and Division
    • Review: Order of Operations
    • Evaluation for Given Values
    • Exponents
    • Whole Number Exponents
    • Laws of Exponents - Product with Same Base
    • Laws of Exponents - Quotient with Same Base
    • Laws of Exponents - Quotient to a Power
    • Laws of Exponents - Negative Powers
    • Laws of Exponents - Power to a Power
    • Laws of Exponents - Product to a Power
    • Laws of Exponents - Zero Power
    • Laws of Exponents - Quotient with a Negative Power
    • Review: Order of Operations
    • Formulas
    • Distance, Rate, and Time
    • Profit, Cost, and Revenue
    • Review: Geometry
    • Polynomials
    • Review: The Four Operations
    • Review: The Distributive Property
    • Division by a Monomial
    • Long Division
    • Synthetic Division
    • Factoring
    • GCF
    • Difference of Squares
    • Grouping
    • Sums and Differences of Cubes
    • Trinomials with Unit Lead Coefficient
    • Trinomials with Non-unit Lead Coefficient
    • Rational Expressions
    • Determine Undefined Values
    • Simplify
    • Multiplication and Division
    • Addition and Subtraction of Rational Expressions
    • Like and unlike denominators
    • Finding the LCD
    • Simplifying Complex Fractions
    • Radical Expressions
    • Simplifying Square Roots of Variables
    • Simplifying nth Roots of Variables
    • Simplifying nth Roots of a Variable Raised to the nth Power
    • Review: The Four Operations
    • Review: Rationalizing Numerators and Denominators
    • Functions
    • Definition of a Function
    • Function Notation
    • Point-plotting
    • Determining the Domain of a Function
    • Determining the Range of a Function
    • The Arithmetic of Functions
    • Composition of Functions
    • Inverse Functions
    • Algebraic Equations
    • Linear
    • Equality Property of Arithmetic
    • Solving Linear Equations in One Variable
    • Solving Absolute Value Equations
    • Applications
    • Identities and Contradictions
    • Solving Linear Equations in Two Variables
    • Point-plotting
    • Tables
    • Slope
    • Intercepts
    • Graphing: The Intercept Method
    • Graphing: The Slope-intercept Form
    • Standard Form
    • Point-slope Form
    • Parallel and Perpendicular Lines
    • Linear Functions: Domain and Range
    • Formulas
    • Review: Evaluate for a Given Set of Variables
    • Solve for a Given Variable
    • Mixture Problems
    • Investment Problems
    • Quadratic
    • Graphing Using Point-plotting
    • Tables
    • Solving by Factoring
    • Solving by Extraction of Roots
    • Solve by Completing the Square
    • Solve Using the Quadratic Formula
    • Solve Quadratic-like Equations
    • Graph Using Completing the Square and Vertex Form
    • Graph Using Intercepts
    • Optimization Problems
    • Quadratic Functions: Domain and Range
    • Rational
    • Solve Rational Equations
    • Applications
    • Variation
    • Direct
    • Inverse
    • Joint
    • Rational Functions: Domain and Range
    • Radical
    • Solve Radical Equations Involving One Radical Expression
    • Solve Radical Equations Involving More Than One Radical Expression
    • Radical Functions: Domain and Range
    • Exponentials and Logarithms
    • Definitions
    • Graphs
    • Properties of Exponentials and Logarithms
    • Solving Exponential and Logarithmic Equations
    • Applications
    • Algebraic Inequalities
    • Linear
    • One Variable
    • Solve and Graph Simple Inequalities
    • Solve and Graph Compound Inequalities
    • Solve and Graph Absolute Value Inequalities
    • Two Variables
    • Solve and Graph
    • Systems
    • 2x2
    • Geometric Method
    • Substitution Method
    • Elimination Method
    • Inconsistent and Dependent Systems
    • 3x3
    • See above
    • Inequalities
    • Conic Sections
    • Graphing Circles
    • Distance and Midpoint Formulas
    • Graphing Parabolas
    • Ellipses
    • Hyperbolas
    • Translation of Axes