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

- What's an Integer?
- 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?
- How Do You Put Real Numbers in Order?
- What's a Rational Number?
- What's an Irrational Number?
- How Do You Graph a Set on a Number Line?
- How Do Different Categories of Numbers Compare To Each Other?

##### Properties of Real Numbers

- How Do You Use the Associative Property?
- What are the Multiplication Properties of 0 and -1?
- What is the Opposite, or Additive Inverse, of a Number?
- 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?

##### The Distributive Property

#### Solving Linear Equations

##### Translating Between Words and Math

- 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?
- How Do You Turn a Longer Verbal Phrase into an Algebraic Expression?
- How Do You Translate a Phrase with One Variable and Number Into a Mathematical Expression?

##### Properties of Equality

##### Solving Multi-Step Equations

- 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 an Equation with Variables on Both Sides and Fractions?
- How Do You Solve a Word Problem Using a Multi-Step Equation?
- 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?
- 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?

##### 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 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?
- How Do You Solve a Word Problem Using an AND Compound Inequality?

#### Solving Absolute Value Equations and Inequalities

##### Finding Absolute Values

##### Solving Absolute Value Inequalities

- 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?
- How Do You Convert an AND Absolute Value Inequality to a Compound Inequality?

### Linear Equations and Functions

#### Relations and Functions

##### Relations

##### Functions

- How Do You Graph a Linear Equation by Making a Table?
- How Can You Tell if a Relation is Not a Function?
- How Do You Use the Vertical Line Test to Figure Out if a Graph is a Function?
- What's a Function?
- What's the Vertical Line Test?
- How is a Function Defined?
- What is a One-to-One Function?
- What is a Continuous Function?
- How Do You Figure Out If a Relation is a Function?

##### Function Notation

#### Graphing Linear Equations

##### Defining Linear Equations

- 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 is a Linear Equation?
- 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?
- How Do You Put an Equation in Standard Form Into Slope-Intercept or Point-Slope Form?
- What's Standard Form of a Linear Equation?

##### Finding Slopes

- How Do You Find the Slope of a Line from Two Points?
- What Does Negative Slope Mean?
- How Do You Find the Slope of a Line from a Graph?
- What Does the Slope of a Line Mean?
- 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?
- What Does Positive Slope Mean?
- What's the Formula for Slope?

##### 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 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?
- How Do You Write the Equation of a Line in Slope-Intercept Form If You Have a Graph?

##### 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 Solve a Word Problem Using the Direct Variation Formula?
- How Do You Identify Direct Variation from a Table Using Ratios?

#### 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

- 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?
- What's Another Way of Solving a System of Equations Using the Elimination by Multiplication 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 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?
- How Do You Factor the Greatest Common Factor out of a Polynomial?

##### From Factoring to Solving

#### Complex Numbers

##### Imaginary and Complex Numbers

- 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 Find Values for x and y to Make Two Complex Numbers Equal?
- How Do You Divide Complex Numbers Using Conjugates?
- How Do You Subtract Complex Numbers?
- How can you use trigonometry to represent complex numbers?
- What is the Imaginary Unit i?
- How Do You Add Complex Numbers?
- What is an Imaginary Number?
- How Do You Find Higher Powers of i?

##### Graphing Complex Numbers

#### Solve Quadratic Equations Using Square Roots and by Completing the Square

##### Solving Quadratics Using 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?
- What is the Square Root Property?

##### 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 Product of Powers Rule?
- What's the Power of a Product Rule?
- What's the Quotient of Powers Rule?
- What Do You Do With a Zero Exponent?
- How Do You Find the Product of Powers?
- How Do You Find the Quotient of Powers with Variables?
- What Do You Do With a Negative Exponent?

##### Simplifying Monomial Expressions

- 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?
- What's a Monomial?
- How Do You Take the Power of a Monomial?
- How Do You Solve a Word Problem by Dividing Monomials?
- How Do You Find the Degree of a Monomial?

##### Scientific Notation

#### Operations with Polynomials

##### Simplifying Polynomial Expressions

##### 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?
- 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 Use 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?
- How Do You Solve a Word Problem by Subtracting and Multiplying Polynomials?
- How Do You Multiply Binomials Using the Distributive Property?

#### 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 Reduce Common Factors in a Rational Expression?
- How Do You Divide Monomials Using the Greatest Common Factor?
- What's a Rational Expression?
- What's an Excluded Value?
- How Do You Simplify a Polynomial Over a Polynomial Using Opposite Binomial Factors?
- How Do You Divide Two Polynomials by Factoring and Canceling?
- How Do You Find Excluded Values?

##### 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

- How Do You Add Two Rational Expressions with Different Denominators?
- How Do You Subtract Two Rational Expressions with Different Denominators?
- How Do You Find the Least Common Multiple of Monomials?
- How Do You Find the Least Common Denominator of Two Rational Expressions?
- What's the Least Common Denominator?

##### 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?
- What's a Rational Equation?
- How Do You Solve a Rational Equation?

### Conic Sections

### Sequences and Series

#### Defining Sequences and Series

#### Arithmetic Sequences and Series

##### Arithmetic Sequences

- 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?
- How Do You Find the Common Difference in an Arithmetic Sequence?
- How Do You Find the Nth Term in an Arithmetic Sequence?

#### 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 Median of a Data Set?
- How Do You Find the Mode of a Data Set When There is More Than One Mode?
- What is the Mode of a Data Set?
- How Do You Find the Median of a Data Set?
- How Do You Compare Two Data Sets Using Box-and-Whisker Plots?
- What is a Weighted Average?
- 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?
- What is the Mean of a Data Set?
- How Do You Find the Mode of a Data Set Where All The Numbers are Different?

##### 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

- 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?
- 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 45Ã‚Â°-45Ã‚Â°-90Ã‚Â° Triangle?
- How Do You Find a Missing Side of a Right Triangle Using Cosine?

#### Angles and Radian Measure

#### The Law of Sines

#### The Law of Cosines

### Trigonometric Identities and Equations