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Algebra 2
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Algebra 2
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Fundamentals and Building Blocks
Theorems and Corollaries
What is a Theorem?
Equations and Inequalities
Algebraic Expressions
Numerical and Algebraic Expressions
What is a Variable?
What is a Constant?
What's a Term?
What Are Numerical and Algebraic Expressions?
What's a Coefficient?
What are Equivalent Expressions?
Simplifying Expressions
What are Like Terms?
How Do You Use the Order of Operations?
What is Simplest Form?
How Do You Evaluate an Algebraic Expression?
How Do You Simplify an Expression?
What's the Order of Operations?
Real Numbers
Types of Numbers
How Do You Graph a Set on a Number Line?
What's an Irrational Number?
How Do Different Categories of Numbers Compare To Each Other?
What's an Integer?
How Do You Put Real Numbers in Order?
What are Natural and Whole Numbers?
What's a Real Number?
How Do You Solve an Identity Equation?
What's Another Definition for an Integer?
What's a Rational Number?
Properties of Real Numbers
How Do You Use the Associative Property?
What are the Multiplication Properties of 0 and -1?
What are Multiplicative Inverses?
What's a Reciprocal?
What are the Inverse Properties of Addition and Multiplication?
What are the Identity Properties of Addition and Multiplication?
What are the Commutative Properties of Addition and Multiplication?
What are the Associative Properties of Addition and Multiplication?
What is the Opposite, or Additive Inverse, of a Number?
The Distributive Property
What is the Distributive Property?
How Do You Distribute With Whole Numbers and Fractions?
How Do You Use the Distributive Property to Simplify an Expression?
Solving Linear Equations
Translating Between Words and Math
How Do You Translate a Phrase with One Variable and Number Into a Mathematical Expression?
How Do You Turn a Longer Verbal Phrase into an Algebraic Expression?
How Do You Turn a More Complicated Expression into Words?
How Do You Solve a Word Problem by Writing an Equation and Plugging in Values?
How Do You Turn a More Complicated Equation into Words?
How Do You Write an Equation from a Word Problem?
What Are Some Words You Can Use To Write Word Problems?
Properties of Equality
What is the Substitution Property of Equality?
What's the Division Property of Equality?
What's the Addition Property of Equality?
What's the Multiplication Property of Equality?
What's the Subtraction Property of Equality?
Solving Multi-Step Equations
How Do You Solve a Multi-Step Equation with Fractions by Multiplying Away the Fraction?
How Do You Solve a Two-Step Equation by Multiplying by -1?
How Do You Solve for a Variable in Terms of Another Variable?
How Do You Solve a Multi-Step Equation with Fractions Using Reverse Order of Operations and Reciprocals?
How Do You Solve a Two-Step Equation?
How Do You Solve a Multi-Step Equation Using Order of Operations in Reverse?
How Do You Solve a Two-Step Equation by Distributing a Fraction First?
How Do You Solve an Equation with Variables on Both Sides?
How Do You Solve a Two-Step Equation by Multiplying by a Reciprocal?
How Do You Solve for a Variable in a Fraction Using Multiplication First?
How Do You Solve a Two-Step Equation by Multiplying by -1 First?
How Do You Solve a Word Problem Using a Multi-Step Equation?
How Do You Solve an Equation with Variables on Both Sides and Fractions?
How Do You Solve a Word Problem Using a Two-Step Equation with Decimals?
How Do You Solve a Multi-Step Equation Using the Distributive Property?
How Do You Solve a Two-Step Equation by Combining Like Terms?
How Do You Solve an Equation with Variables on Both Sides and Grouping Symbols?
How Do You Solve a Formula For a Variable?
Contradictions and Identities
How Do You Solve an Equation with No Solution?
What Does It Mean When An Equation Has No Solution?
What is an Identity Equation?
How Do You Solve an Identity Equation?
Solving Linear Inequalities
Properties of Inequality
What's the Division Property of Inequality?
What's the Multiplication Property of Inequality?
What's an Inequality?
What's the Addition Property of Inequality?
What's the Subtraction Property of Inequality?
Solving Multi-Step Inequalities
How Do You Solve an Inequality With Variables on Both Sides?
What Does It Mean When an Inequality is a Contradiction or Has No Solution?
How Do You Solve a Multi-Step Inequality Using Reverse Order of Operations?
How Do You Write Inequalities in Set Builder Notation?
What is an Identity Inequality?
How Do You Solve a Word Problem Using a Multi-Step Inequality?
How Do You Solve a Word Problem Using an Inequality With Variables on Both Sides?
How Do You Solve and Graph a Two-Step Inequality?
Compound Inequalities
How Do You Solve a Word Problem Using an AND Compound Inequality?
How Do You Graph the Union of Two Inequalities?
How Do You Solve an AND Compound Inequality?
How Do You Solve an OR Compound Inequality and Graph It On a Number Line?
How Do You Graph the Intersection of Two Inequalities?
How Do You Solve an AND Compound Inequality and Graph It On a Number Line?
What's a Compound Inequality?
Solving Absolute Value Equations and Inequalities
Finding Absolute Values
How Do You Find the Absolute Value of Positive and Negative Numbers?
What Does Absolute Value Mean?
Solving Absolute Value Inequalities
How Do You Convert an AND Absolute Value Inequality to a Compound Inequality?
How Do You Solve an AND Absolute Value Inequality and Graph It On a Number Line?
How Do You Figure Out if an Absolute Value Inequality is an AND or OR Compound Inequality?
How Do You Write an Absolute Value Inequality from a Word Problem?
How Do You Solve a Word Problem Using an AND Absolute Value Inequality?
Linear Equations and Functions
Relations and Functions
Relations
What is the Domain of a Relation?
What is the Range of a Relation?
How Do You Find the Domain and Range of a Relation?
What is a Relation?
How Do You Graph a Relation From a Table?
Functions
How Do You Figure Out If a Relation is a Function?
How Can You Tell if a Relation is Not a Function?
How Do You Graph a Linear Equation by Making a Table?
What's a Function?
How Do You Use the Vertical Line Test to Figure Out if a Graph is a Function?
What's the Vertical Line Test?
What is a One-to-One Function?
How is a Function Defined?
What is a Continuous Function?
Function Notation
What Are Dependent and Independent Variables?
How Do You Find f(x) When the Value for x Contains Other Variables?
How Do You Find f(x) If You Have a Value For x?
What is Function Notation?
Graphing Linear Equations
Defining Linear Equations
What's Standard Form of a Linear Equation?
How Do You Put an Equation in Standard Form Into Slope-Intercept or Point-Slope Form?
What is a Linear Equation?
What's the Y-Intercept?
What's Slope-Intercept Form of a Linear Equation?
How Do You Put an Equation in Slope-Intercept Form Into Standard or Point-Slope Form?
What's the X-Intercept?
What's Point-Slope Form of a Linear Equation?
How Can You Tell If You Have a Linear Equation?
How Do You Put an Equation in Point-Slope Form Into Standard or Slope-Intercept Form?
Finding Slopes
What Does Positive Slope Mean?
What's the Formula for Slope?
How Do You Find the Slope of a Line from Two Points?
What Does Negative Slope Mean?
What Does the Slope of a Line Mean?
How Do You Find the Slope of a Line from a Graph?
How Do You Find the Slope of a Ramp If You Know the Rise and Run?
What Does Undefined Slope Mean?
What Does 0 Slope Mean?
Graphing Lines and Finding Points
How Do You Find the X-Coordinate of a Point on a Line If You Have Another Point and the Slope?
How Do You Use X- and Y-Intercepts To Graph a Line In Standard Form?
How Do You Graph a Line If You're Given the Slope and the Intercept?
How Do You Graph a Line If You're Given the Slope and a Single Point?
Vertical and Horizontal Lines
What Are Vertical Lines?
What Are Horizontal Lines?
How Do You Graph a Vertical Line?
How Do You Graph a Horizontal Line?
Parallel and Perpendicular Lines
How Do You Know if Two Lines Are Perpendicular?
How Do You Know if Two Lines are Parallel?
How Do You Find the Slope of a Line If You Have a Perpendicular Line?
Writing Linear Equations
Writing Equations in Slope-Intercept Form
How Do You Write an Equation of a Line in Slope-Intercept Form If You Have Two Points?
How Do You Write the Equation of a Line in Slope-Intercept Form If You Have a Graph?
How Do You Write an Equation of a Line in Slope-Intercept Form from a Word Problem?
How Do You Write an Equation of a Line in Slope-Intercept Form If You Have the Slope and the Y-Intercept?
Writing Equations in Point-Slope Form
How Do You Write an Equation of a Line in Point-Slope Form If You Have Two Points?
How Do You Write an Equation of a Line in Point-Slope Form If You Have the Slope and One Point?
How Do You Write an Equation of a Line in Point-Slope Form and Standard Form If You Have Two Points?
Writing Equations for Horizontal and Vertical Lines
How Do You Write an Equation for a Vertical Line?
How Do You Write an Equation for a Horizontal Line?
Writing Equations for Parallel and Perpendicular Lines
How Do You Write an Equation of a Line in Slope-Intercept Form If You Have One Point and a Perpendicular Line?
How Do You Write an Equation of a Line in Slope-Intercept Form If You Have One Point and a Parallel Line?
Direct Variation
Defining Direct Variation
What's the Constant of Variation?
What's the Direct Variation or Direct Proportionality Formula?
What Does Direct Variation Look Like on a Graph?
Working With Direct Variation
How Do You Write an Equation for Direct Variation from a Table?
How Do You Use the Formula for Direct Variation?
How Do You Find the Constant of Variation from a Direct Variation Equation?
How Do You Write an Equation for Direct Variation Given a Point?
How Do You Identify Direct Variation from a Table Using Ratios?
How Do You Solve a Word Problem Using the Direct Variation Formula?
Scatter Plots and Best-Fit Lines
Scatter Plots and Correlation
What's Positive Correlation?
How Do You Use a Scatter Plot to Find a Negative Correlation?
What's Negative Correlation?
How Do You Use a Scatter Plot to Find No Correlation?
What Does it Mean To Have No Correlation?
How Do You Use a Scatter Plot to Find a Positive Correlation?
What's a Scatter Plot?
Making Predictions With Scatter Plots
How Do You Write and Use a Prediction Equation?
How Do You Use a Scatter Plot to Find a Line of Fit?
Graphing Inequalities
Graphing Linear Inequalities
How Do You Solve and Graph Inequalities from a Word Problem?
What's a Boundary?
How Do You Graph an Inequality on the Coordinate Plane?
What's a Half-Plane?
How Do You Figure Out Whether a Boundary is a Part of the Graph of an Inequality?
Absolute Value and Piecewise Functions
Absolute Value Functions
What Does the Constant 'k' do in y = |x|+k?
What is an Absolute Value Function?
How Do You Graph an Absolute Value Function?
What Does the Constant 'h' do in y = |x-h|?
How Do You Write an Equation for a Translation of an Absolute Value Function?
Piecewise Functions
How Do You Graph a Piecewise Function?
Parent Functions and Transformations
Parent Functions
What is a Constant Function?
What is a Linear Function?
What is a Parent Function?
What is a Cubic Function?
How Do You Graph the Parent Quadratic Function y=x2?
What is the Parent Function of a Cubic Function?
Translations
How Do You Graph a Translation of a Function?
What Does the Constant 'k' Do in the Function f(x)=[square root of](x)+k?
How Do You Translate a Function?
How Do You Horizontally Translate a Square Root Function?
Reflections
How Do You Graph a Reflection of a Function?
How Do You Reflect a Function?
Linear Systems
Solve Linear Systems by Graphing
Definitions of Linear Systems
What's a System of Linear Equations?
What's a Consistent Independent System of Equations?
What's a Solution to a System of Linear Equations?
Solving Systems by Graphing
How Do You Solve a System of Equations by Graphing?
How Do You Check Your Answer When You Have Two Equations?
How Do You Graph a System of Equations With No Solution?
Solve Linear Systems Algebraically
Solving Systems Using Substitution
How Do You Solve Two Equations with Two Variables?
How Do You Solve a Word Problem Using Two Equations?
How Do You Solve a System of Equations Using the Substitution Method?
Solving Systems Using Elimination
What's Another Way of Solving a System of Equations Using the Elimination by Multiplication Method?
How Do You Solve a System of Equations Using the Elimination by Multiplication Method?
How Do You Use a System of Linear Equations to Find Coordinates on a Map?
How Do You Solve a Word Problem Using the Elimination by Subtraction Method?
What Are the Ways You Can Solve a System of Linear Equations?
How Do You Solve a System of Equations Using the Elimination by Addition Method?
How Do You Solve a System of Equations Using the Elimination by Subtraction Method?
Solving Systems with Infinite Solutions and No Solution
What's an Example of a Word Problem That Has a System of Linear Equations with Infinite Solutions?
Solving Linear Systems Using a Matrix
How can a system of linear equations be solved using matrix row operations?
Systems of Linear Inequalities
Solving Systems of Inequalities
How Do You Solve a Word Problem Using a System of Inequalities?
What is a Solution To A System Of Linear Inequalities?
What's a System of Linear Inequalities?
How Do You Solve a System of Inequalities by Graphing?
Linear Programming
Introduction to Linear Programming
What is Linear Programming?
Optimization with Linear Programming
How Do You Solve an Optimization Word Problem?
Systems of Equations in Three Variables
Solving Systems in Three Variables
How Do You Solve a System of Equations in Three Variables Using Elimination?
Matrices
Introduction to Matrices and Data
Matrix Definitions
What is a Matrix?
Matrix Operations
Properties of Matrix Operations
What is the Commutative Property of Matrix Addition?
What is the Identity Property of Matrix Addition?
What is the Inverse Property of Matrix Addition?
Adding and Subtracting Matrices
How Do You Add Matrices?
How Do You Subtract Matrices?
How Do You Add and Subtract Matrices with Fractions and Decimals?
Scalar Multiplication
How Do You Multiply a Matrix by a Scalar?
Transformations with Matrices
Translations and Dilations
How Do You Use Matrices to Translate a Figure?
Determinants and Cramer's Rule
Determinants
How Do You Find the Determinant of a 2x2 Matrix?
Cramer's Rule
What is a Coefficient Matrix?
Inverse Matrices and Matrix Equations
Identity and Inverse Matrices
How Do You Find the Inverse of a 2x2 Matrix?
Vectors
Defining Vectors
What is a Vector?
Quadratic Equations and Functions
Graphing Quadratic Functions
Definitions for Quadratic Functions
What is the Standard Form of a Quadratic?
What is the Axis of Symmetry of a Quadratic Function?
What is the Minimum of a Quadratic Function?
What is a Parabola?
What is the Vertex of a Quadratic Function?
What is a Quadratic Function?
What is the Maximum of a Quadratic Function?
Working with Quadratic Graphs
How Do You Determine if the Vertex Will Be a Maximum or Minimum?
How Do You Find the Vertex of a Quadratic Function?
How Do You Make a Table for a Quadratic Function?
How Do You Find the Axis of Symmetry for a Quadratic Function?
How Do You Write an Equation For a Quadratic if You Have Three Points?
How Do You Graph a Quadratic Function?
Transforming Quadratic Functions
Transformations of Quadratics
How Do You Graph the Parent Quadratic Function y=x2?
Vertex Form of a Quadratic
How Do You Convert a Quadratic Equation from Vertex Form to Standard Form?
How Do You Write a Quadratic Equation in Vertex Form if You Have the Vertex and Another Point?
Intercept Form of a Quadratic
How Do You Graph a Quadratic Equation in Intercept Form?
How Do You Write a Quadratic Equation in Intercept Form if You Have a Graph?
How Do You Convert a Quadratic Equation from Intercept Form to Standard Form?
Define and Solve Quadratic Equations by Graphing
Defining Quadratic Equations
What is a Quadratic Equation?
Solving Quadratics by Graphing
How Do You Find the Zeros of a Quadratic Function on a Graph?
How Do You Solve a Quadratic Equation with Two Solutions by Graphing?
How Do You Graph a Quadratic Equation with No Solution?
Solve Quadratic Equations by Factoring
Factoring Strategies
How Do You Factor the Greatest Common Factor out of a Polynomial?
How Do You Find All the Possible Factors of a Trinomial?
How Do You Figure Out a Template for Factoring a Trinomial?
How Do You Factor a Common Factor Out Of a Difference of Squares?
How Do You Know if You Have a Difference of Squares?
How Do You Factor a Polynomial Using Difference of Squares?
How Do You Factor a Polynomial by Guessing and Checking?
How Do You Factor a Polynomial Using the A-C Method?
How Do You Factor a Trinomial?
How Do You Use a Shortcut to Factor a Perfect Square Trinomial?
From Factoring to Solving
What's the Zero Product Property?
How Do You Solve a Word Problem by Factoring a Quadratic Equation?
How Do You Solve a Quadratic Equation by Factoring?
Complex Numbers
Imaginary and Complex Numbers
What is an Imaginary Number?
How Do You Find Higher Powers of i?
How Do You Multiply Pure Imaginary Numbers?
How Do You Simplify the Square Root of a Negative Number?
How Do You Multiply Complex Numbers Using FOIL?
How Do You Divide Complex Numbers Using Conjugates?
How Do You Find Values for x and y to Make Two Complex Numbers Equal?
How Do You Subtract Complex Numbers?
How can you use trigonometry to represent complex numbers?
How Do You Add Complex Numbers?
What is the Imaginary Unit i?
Graphing Complex Numbers
How Do You Find the Absolute Value of a Complex Number?
How Do You Graph Complex Numbers?
How Do You Add Complex Numbers by Graphing in the Complex Plane?
Solve Quadratic Equations Using Square Roots and by Completing the Square
Solving Quadratics Using the Square Root Property
What is the Square Root Property?
How Do You Use the Square Root Method to Solve a Quadratic Equation with Imaginary Solutions?
How Do You Use the Square Root Method to Solve a Quadratic Equation with Two Solutions?
How Do You Use the Square Root Method to Solve a Quadratic Equation with Imaginary Solutions if a≠1?
Solving Quadratics by Completing the Square
How Do You Convert a Quadratic from Standard Form to Vertex Form by Completing the Square?
How Do You Solve a Quadratic Equation by Completing the Square?
How Do You Convert a Quadratic from Standard Form to Vertex Form by Completing the Square if a≠1?
How Do You Solve a Quadratic Equation with Complex Solutions by Completing the Square?
The Quadratic Formula and the Discriminant
Solving Quadratics Using the Quadratic Formula
How Do You Solve a Quadratic Equation With Complex Solutions by Using the Quadratic Formula?
What is the Quadratic Formula?
How was the Quadratic Formula Derived?
How Do You Solve a Word Problem Using the Quadratic Formula?
How Do You Solve a Quadratic Equation by Using the Quadratic Formula?
Using the Discriminant
What is the Discriminant?
How Do You Find The Discriminant of a Quadratic Equation With 2 Real Solutions?
How Do You Use The Discriminant to Determine the Number of Real or Complex Solutions to a Quadratic Equation?
How Do You Find The Discriminant of a Quadratic Equation With 1 Solution?
Quadratic Inequalities
Graphing and Solving Quadratic Inequalities
How Do You Solve a Quadratic Inequality Algebraically?
How Do You Solve a Quadratic Inequality by Graphing?
What are Critical Values?
What is a Quadratic Inequality?
How Do You Graph a Quadratic Inequality?
Polynomials and Polynomial Functions
Exponents and Monomials
Rules of Exponents
What's the Power of a Quotient Rule?
What's the Power of a Power Rule?
What are Exponents?
What's the Quotient of Powers Rule?
What Do You Do With a Zero Exponent?
How Do You Find the Product of Powers?
What's the Product of Powers Rule?
What's the Power of a Product Rule?
How Do You Find the Quotient of Powers with Variables?
What Do You Do With a Negative Exponent?
Simplifying Monomial Expressions
How Do You Find the Degree of a Monomial?
How Do You Solve a Word Problem by Taking a Monomial to a Power?
How Do You Find the Volume of a Box Whose Sides are Monomials?
How Do You Take a Monomial to a Power?
How Do You Divide Monomials Using Quotient of Powers?
How Do You Multiply Monomials?
How Do You Simplify An Expression With Negative Exponents?
How Do You Take the Power of a Monomial?
What's a Monomial?
How Do You Solve a Word Problem by Dividing Monomials?
Scientific Notation
How Do You Solve a Word Problem by Multiplying with Scientific Notation?
How Do You Convert From Scientific Notation to Decimal Notation?
How Do You Multiply Two Numbers Using Scientific Notation?
How Do You Convert From Decimal Notation to Scientific Notation?
What's Scientific Notation?
Operations with Polynomials
Simplifying Polynomial Expressions
How Do You Subtract Polynomials?
How Do You Solve a Word Problem by Subtracting Polynomials?
What's the Standard Form of a Polynomial?
How Do You Find the Degree of a Polynomial?
What is a Leading Coefficient?
How Do You Add Polynomials?
What is a Polynomial?
Multiplying Polynomials
How Do You Multiply Binomials Using the Distributive Property?
How Do You Solve a Word Problem by Subtracting and Multiplying Polynomials?
What's the Formula for the Square of a Difference?
How Do You Multiply Trinomials?
How Do You Find the Area of a Rectangle Whose Sides are a Monomial and a Polynomial?
How Do You Find the Area of a Rectangle Whose Sides are Binomials?
How Do You Solve a Word Problem by Multiplying Binomials?
How Do You Multiply a Monomial by a Polynomial?
How Do You Use the Formula for the Product of a Sum and a Difference?
What's the Formula for the Square of a Sum?
What's the Formula for the Product of a Sum and a Difference?
How Do You Multiply Binomials Using FOIL?
How Do You Solve a Word Problem by Multiplying Trinomials?
Dividing Polynomials
Long Division
How Do You Divide a Polynomial by a Monomial Using Long Division?
How Do You Do Long Division With Polynomials?
Polynomial Functions
Graphing Polynomial Functions
How Do You Graph a Polynomial Function by Making a Table?
How Do You Translate a Polynomial Function Vertically?
How Do You Determine the Zeros of a Polynomial Function from a Table of Values?
Polynomial Equations
Factoring Strategies
How Do You Factor a Polynomial Using Sum of Cubes?
How Do You Factor a Polynomial Using Difference of Cubes?
How Do You Factor a 4-Term Polynomial by Grouping?
How Do You Factor a 6-Term Polynomial by Grouping?
What's a Prime Polynomial?
How Do You Figure Out What Factoring Strategy to Use?
Solving Polynomial Equations
What is Quadratic Form of a Polynomial Equation?
How Do You Use a Polynomial Equation to Solve a Word Problem?
How Do You Use a Solve a Polynomial Equation With Two Variables?
The Factor Theorem
What is a Depressed Polynomial?
What is the Factor Theorem?
Roots and Zeros
The Rational Zero Theorem
How Do You Find All the Rational Zeros of a Polynomial Function?
The Fundamental Theorem of Algebra
What is the Fundamental Theorem of Algebra?
Radical Functions
nth Roots and Rational Exponents
nth Roots
How Do You Find the Cube Root of a Perfect Cube?
Rational Exponents
What are Rational Exponents?
Working with Radical Expressions
Multiplying and Dividing Radicals
How Do You Simplify Radicals Using the Product Property?
How Do You Multiply Two Radicals?
Simplifying Radical Expressions
How Do You Subtract Radicals with Like Radicands?
How Do You Add Radicals with Like Radicands?
How Do You Subtract Radicals with Unlike Radicands?
Operations on and Composition of Functions
Operations on Functions
What are Function Operations?
How Do You Find the Sum of Two Functions?
Inverse Relations and Functions
Inverse Relations
How Do You Find the Domain and Range of the Inverse of a Relation?
What's the Inverse of a Relation?
Graphs of Radical Functions
Graphing Square Root Functions
How Do You Horizontally Translate a Square Root Function?
How Do You Graph a Square Root Function Using a Table?
What Does the Constant 'k' Do in the Function f(x)=[square root of](x)+k?
Solve Radical Equations and Inequalities
Solving Radical Equations
How Do You Solve a Radical Equation with a Binomial in the Radicand?
How Do You Solve a Radical Equation?
Exponential and Logarithmic Functions
Exponential Functions
Exponential Functions
How Do You Solve a Word Problem Using an Exponential Function?
What's an Exponential Function?
What Does the Value of 'a' Do in the Exponential Function f(x)= a (bx)?
How Do You Graph an Exponential Function Using a Table?
Exponential Growth and Decay
How Do You Solve a Word Problem with Exponential Decay?
What is exponential decay?
What is the Formula for Compound Interest?
What is Exponential Growth?
How Do You Use the Formula for Compound Interest?
How Do You Solve a Word Problem with Exponential Growth?
Logarithms and Logarithmic Functions
Introduction to Logarithms
How Do You Convert From Exponential Form to Logarithmic Form?
What is a Logarithm?
How Do You Convert From Logarithmic Form to Exponential Form?
How Do You Evaluate a Logarithm?
Graphing Logarithmic Functions
What Does the Constant 'k' Do to the Graph of f(x)=log(x)+k?
Properties of Logarithms
Defining Properties of Logarithms
What is the Change of Base Formula?
What is the Product Property of Logarithms?
Using Properties of Logarithms
How Do You Simplify Logarithms Using the Product Property?
How Do You Express a Logarithm in Terms of Common Logarithms?
Natural Base e and Natural Logarithms
The Natural Base e
What is e?
How Do You Graph the Natural Base Exponential Function?
What is the Natural Base Exponential Function?
Natural Logarithms
How Do You Convert From Exponential Form to Natural Logarithmic Form?
How Do You Convert From Natural Logarithmic Form to Exponential Form?
What is a Natural Logarithm?
Solving Exponential and Logarithmic Equations and Inequalities
Solving Exponential Equations
How Do You Solve an Exponential Equation by Equating Exponents?
Solving Logarithmic Equations
How Do You Solve a Logarithmic Equation by Exponentiating?
Modeling with Exponential and Logarithmic Functions
Modeling with Exponential Functions
How Do You Identify Exponential Behavior from a Pattern in the Data?
Rational Functions
Inverse, Joint, and Combined Variation
Inverse Variation
How Do You Solve a Word Problem Using Inverse Variation?
How Do You Use the Formula for Inverse Variation to Write an Equation?
What is the Product Rule for Inverse Variation?
What's the Inverse Variation or Indirect Proportionality Formula?
Rational Functions and their Graphs
Graphing Rational Functions
How Do You Graph a Rational Function by Making a Table?
Multiplying and Dividing Rational Expressions
Simplifying Rational Expressions
How Do You Find Excluded Values?
How Do You Reduce Common Factors in a Rational Expression?
How Do You Divide Monomials Using the Greatest Common Factor?
How Do You Simplify a Polynomial Over a Polynomial Using Opposite Binomial Factors?
What's a Rational Expression?
What's an Excluded Value?
How Do You Divide Two Polynomials by Factoring and Canceling?
Multiplying Rational Expressions
How Do You Multiply a Rational Expression by a Polynomial?
How Do You Multiply Quotients of Monomials by Canceling Factors?
How Do You Multiply Two Rational Expressions?
How Do You Multiply Quotients of Monomials?
Dividing Rational Expressions
How Do You Divide a Rational Expression by a Polynomial?
How Do You Divide Quotients of Monomials?
How Do You Divide Two Rational Expressions?
Adding and Subtracting Rational Expressions
Adding and Subtracting with the Same Denominator
How Do You Subtract Two Rational Expressions with the Same Denominator?
How Do You Add Two Rational Expressions with the Same Denominator?
Adding and Subtracting with the Different Denominators
What's the Least Common Denominator?
How Do You Add Two Rational Expressions with Different Denominators?
How Do You Find the Least Common Multiple of Monomials?
How Do You Subtract Two Rational Expressions with Different Denominators?
How Do You Find the Least Common Denominator of Two Rational Expressions?
Complex Fractions
How Do You Simplify a Mixed Expression Over a Mixed Expression?
What's a Complex Expression with Rational Expressions?
Solving Rational Equations and Inequalities
Solving Rational Equations
How Do You Solve a Rational Equation With an Extraneous Solution?
How Do You Solve a Rational Equation With Binomials in the Denominator?
How Do You Solve a Rational Equation by Adding Fractions?
How Do You Solve a Word Problem with a Rational Equation?
How Do You Solve a Rational Equation With No Solution?
How Do You Solve a Rational Equation by LCD Multiplication?
How Do You Solve a Rational Equation?
What's a Rational Equation?
Conic Sections
Midpoint and Distance Formulas
The Distance Formula
How Do You Find the Distance Between Two Points?
What Is the Distance Formula?
How Was the Distance Formula Derived?
The Midpoint Formula
What are the Endpoints of a Line Segment?
How Do You Find the Midpoint of Two Points on a Map If You Have the Coordinates?
What's the Midpoint Formula?
How Do You Find the Midpoint Between Two Coordinates?
Parabolas
Parabolas With Vertices at (0,0)
What is a Parabola?
Circles
Graphs of Circles
What is a Circle?
Equations of Circles
What is a Tangent Line to a Circle?
Ellipses
Ellipses Centered at (0,0)
How Do You Write an Equation for an Ellipse Centered at the Origin Given a Vertex and a Co-Vertex?
What is an Ellipse?
Ellipses Centered at (h,k)
What is the Standard Form of the Equation of a Horizontal Ellipse?
Hyperbolas
Hyperbolas Centered at (0,0)
What is a Hyperbola?
Identifying Conic Sections
Conic Sections
What are Conic Sections?
Sequences and Series
Defining Sequences and Series
Defining Sequences
What's a Sequence?
What's a Term in a Sequence?
Defining Series
What is a Series?
What is Sigma Notation?
Arithmetic Sequences and Series
Arithmetic Sequences
How Do You Find the Common Difference in an Arithmetic Sequence?
How Do You Find the Nth Term in an Arithmetic Sequence?
How Do You Find the Next Terms in an Arithmetic Sequence?
What's an Arithmetic Sequence?
Where Does the Formula for a Term in an Arithmetic Sequence Come From?
What's the Common Difference?
Geometric Sequences and Series
Geometric Sequences
How Do You Write a Rule for a Geometric Sequence?
How Do You Find a Geometric Mean?
How Do You Determine if a Sequence is Arithmetic or Geometric?
What is the Explicit Formula for the nth Term in a Geometric Sequence?
What is a Geometric Mean?
Infinite Geometric Series
Infinite Series
What is an Infinite Geometric Series?
Probability and Statistics
Theoretical and Experimental Probability
Simple and Theoretical Probability
What is an Outcome?
What is a Sample Space?
What is Probability?
What is the Complement of an Event?
How Do You Find the Probability of a Simple Event?
How Do You Find the Probability of the Complement of an Event?
Experimental and Geometric Probability
What is Experimental Probability?
How Do You Use a Simulation to Solve a Problem?
Permutations and Combinations
Counting Outcomes
What is the Fundamental Counting Principle?
How Do You Use a Tree Diagram to Count the Number of Outcomes in a Sample Space?
How Do You Use the Fundamental Counting Principle to Count the Number of Outcomes in a Sample Space?
Permutations
What is a Factorial?
What is a Permutation?
How Do You Find a Number of Permutations Using the Fundamental Counting Principle?
Pascal's Triangle and Binomial Expansion
How Do You Expand a Power of a Binomial Sum Using the Binomial Theorem?
Probabilities of Compound Events
Independent and Dependent Events
How Do You Find the Probability of Independent Events?
What are Compound Events?
How Do You Determine If Events are Independent or Dependent?
How Do You Find the Probability of Dependent Events?
Conditional Probability and Contingency Tables
What is Conditional Probability?
How Do You Find Conditional Probability?
How Do You Find Relative Frequency?
Measures of Central Tendency and Dispersion
Measures of Central Tendency
What is the Mean of a Data Set?
How Do You Find the Mode of a Data Set Where All The Numbers are Different?
How Do You Find the Mode of a Data Set When There is More Than One Mode?
What is the Median of a Data Set?
What is the Mode of a Data Set?
How Do You Find the Median of a Data Set?
What is a Weighted Average?
How Do You Compare Two Data Sets Using Box-and-Whisker Plots?
How Do You Find an Average?
How Do You Find the Mode of a Data Set?
How Do You Find the Mean of a Data Set?
Measures of Dispersion
How Do You Find the Range of a Data Set?
What is a Box-and-Whisker Plot?
How Do You Make a Box-and-Whisker Plot?
What is the Interquartile Range?
How Do You Find the Standard Deviation of a Data Set?
Populations and Sampling
Populations and Samples
What is an Unbiased Sample?
Statistics and Hypothesis Testing
Statistics Definitions
What is Bivariate Data?
Hypothesis Testing
What is a margin of error and how can you use it with sampling distribution?
How do you formulate a hypothesis using statistics?
The Normal Distribution
Defining the Normal Distribution
What is a Normal Distribution?
Trigonometric Functions
Right Triangle Trigonometry
Defining Trigonometric Ratios
What is the Sine Ratio?
What is the Tangent Ratio?
What is the Secant Ratio?
Trigonometric Ratios in Right Triangles
What is a 30-60-90 Degree Triangle?
How Do You Find a Missing Side of a Right Triangle Using Sine?
How Do You Find the Cosine of an Angle in a Right Triangle?
How Do You Find the Sine of an Angle in a Right Triangle?
What is a 45°-45°-90° Triangle?
How Do You Find a Missing Side of a Right Triangle Using Cosine?
How Do You Find the Tangent of an Angle in a Right Triangle?
How Do You Find a Missing Side of a Right Triangle Using Tangent?
Angles and Radian Measure
Angles and Radians
What is an Angle in Standard Position?
Circles, Sectors, and Arc Length
What is a Sector and Central Angle?
The Law of Sines
Using the Law of Sines
What is the Law of Sines?
Finding Areas of Triangles Using Sines
What is the Formula for the Area of a Triangle Using Sines?
The Law of Cosines
Using the Law of Cosines
What is the Law of Cosines?
Trigonometric Identities and Equations
Graphing Trigonometric Functions
Introduction to Periodic Functions
What is a Periodic Function?
Graphing Sine and Cosine Functions
What Does the Graph of the Sine Function Look Like?
What Does the Graph of the Cosine Function Look Like?
Graphing Tangent and Cotangent Functions
What Does the Graph of the Tangent Function Look Like?
Translating Trigonometric Graphs
Horizontal and Vertical Translations
How Do You Horizontally Translate a Trigonometric Graph?
Basic Trigonometric Identities
Defining Basic Trigonometric Identities
What are the Trigonometric Cofunction Identities?
What are the Trigonometric Reciprocal Identities?
Double and Half Angle Identities
Defining Double and Half Angle Identities
What is the Trigonometric Double Angle Identity for Sine?
Trigonometric Equations
Solving Trigonometric Equations
How Do You Solve a Trigonometric Equation on a Given Interval?
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