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Algebra 2
This is a list of all Virtual Nerd tutorials in Algebra 2, organized by topic.
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Fundamentals and Building Blocks
Equations and Inequalities
Algebraic Expressions
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
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
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
Solving Linear Inequalities
Properties 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
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
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
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
Vertical and Horizontal Lines
Parallel and Perpendicular Lines
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
Writing Equations for Horizontal and Vertical Lines
Writing Equations for Parallel and Perpendicular Lines
Direct Variation
Defining Direct Variation
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
Graphing Inequalities
Absolute Value and Piecewise Functions
Parent Functions and Transformations
Linear Systems
Solve Linear Systems by Graphing
Solve Linear Systems Algebraically
Solving Systems Using Substitution
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
Solving Linear Systems Using a Matrix
Systems of Linear Inequalities
Linear Programming
Systems of Equations in Three Variables
Matrices
Quadratic Equations and Functions
Graphing Quadratic Functions
Definitions for Quadratic Functions
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
Define and Solve Quadratic Equations by Graphing
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
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
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
Quadratic Inequalities
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
Operations with Polynomials
Simplifying Polynomial Expressions
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
Polynomial Functions
Polynomial Equations
Roots and Zeros
Radical Functions
Exponential and Logarithmic Functions
Exponential Functions
Logarithms and Logarithmic Functions
Properties of Logarithms
Natural Base e and Natural Logarithms
Solving Exponential and Logarithmic Equations and Inequalities
Modeling with Exponential and Logarithmic Functions
Rational Functions
Inverse, Joint, and Combined Variation
Rational Functions and their Graphs
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
Dividing Rational Expressions
Adding and Subtracting Rational Expressions
Adding and Subtracting 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
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
Sequences and Series
Defining Sequences and Series
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
Infinite Geometric Series
Probability and Statistics
Theoretical and Experimental Probability
Permutations and Combinations
Probabilities of Compound Events
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
Populations and Sampling
Statistics and Hypothesis Testing
The Normal Distribution
Trigonometric Functions
Right Triangle Trigonometry
Defining Trigonometric Ratios
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
The Law of Sines
The Law of Cosines
Trigonometric Identities and Equations