This is a list of all Virtual Nerd tutorials in Pre-Algebra, organized by topic.

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### The Tools of Algebra

#### Expressions and Variables

##### Evaluating Expressions

- What's the Order of Operations?
- What Are Numerical and Algebraic Expressions?
- What is the Substitution Property of Equality?
- What is a Variable?
- How Do You Use the Order of Operations?
- How Do You Complete a Table By Plugging in Values?
- How Do You Evaluate an Algebraic Expression?
- How Do You Plug Variables into an Algebraic Expression?
- How Do You Evaluate an Algebraic Expression with Two Variables?
- How Do You Evaluate an Algebraic Expression with One Variable?

##### Translating Between Words and Math

- How Do You Write and Solve an Equation From a Word Problem?
- How Do You Write an Equation From a Word Problem?
- How Do You Determine Which Operations to Use in a Word Problem?
- How Do You Translate a Phrase with One Variable and Number Into a Mathematical Expression?
- How Do You Translate Phrases into Numerical Expressions?
- What are Some Words You Can Use to Write Word Problems?

#### Properties of Numbers

#### Ordered Pairs, Relations, and the Coordinate Plane

##### Ordered Pairs and The Coordinate Plane

- What is the X-Axis?
- How Do You Graph a Linear Equation?
- What is the Origin?
- What are Quadrants in the Coordinate Plane?
- What is the X-Coordinate?
- How Do You Identify Points on a Graph?
- What is the Y-Axis?
- What is the Coordinate Plane?
- What is the Y-Coordinate?
- How Do You Determine if an Ordered Pair is a Solution to an Equation?
- How Do You Graph Ordered Pairs in Each Quadrant?
- How Do You Graph Points in the Coordinate Plane?
- What is an Ordered Pair?

##### Relations

#### Integers and Absolute Value

#### Adding and Subtracting Integers

#### Multiplying and Dividing Integers

### Solving One- and Two-Step Equations

#### The Distributive Property

#### Simplifying Algebraic Expressions

#### Variables and Equations

#### Solving Equations by Adding or Subtracting

#### Solving Equations by Multiplying or Dividing

#### Two-Step Equations

### Multi-Step Equations and Inequalities

#### Multi-Step Equations

#### Equations with Variables on Both Sides

#### Inequalities and their Graphs

#### Solving Inequalities by Adding and Subtracting

#### Solving Inequalities by Multiplying and Dividing

##### Solving Inequalities by Multiplying

- What's the Multiplication Property of Inequality?
- How Do You Solve an Inequality Word Problem by Multiplying by a Positive Number?
- How Do You Solve an Inequality by Multiplying by a Negative Number?
- How Do You Solve an Inequality Word Problem by Multiplying by a Negative Number?
- How Do You Solve an Inequality by Multiplying by a Positive Number?

##### Solving Inequalities by Dividing

- How Do You Solve an Inequality Word Problem by Dividing by a Negative Number?
- How Do You Solve an Inequality by Dividing by a Positive Number?
- How Do You Solve an Inequality Word Problem by Dividing by a Positive Number?
- How Do You Solve an Inequality by Dividing by a Negative Number?
- What's the Division Property of Inequality?

#### Multi-Step Inequalities

#### Formulas

##### Solving for a Variable

##### Using Formulas

- How Do You Convert a Temperature from Fahrenheit to Celsius?
- What is the Formula Connecting Distance, Rate, and Time?
- How Do You Convert a Temperature from Celsius to Fahrenheit?
- How Do You Figure Out the Rate Traveled if You Know Distance and Time?
- How Do You Figure Out Time if You Know Distance and Speed?

### Factors, Fractions, and Exponents

#### Divisibility and Factors

#### Prime Factorization and Greatest Common Factor

##### Prime Factorization

##### Greatest Common Factor

- How Do You Find the Greatest Common Factor of Three Numbers?
- How Do You Find the Greatest Common Factor of Two Numbers by Listing Their Factors?
- How Do You Find the Greatest Common Factor of Two Numbers Using Prime Factorization?
- What is a Greatest Common Factor?
- How Do You Find the Greatest Common Factor of Monomials?
- How Do You Find the Greatest Common Factor If There are No Common Factors?
- How Do You Factor a Greatest Common Factor Out of an Expression?

#### Simplifying Fractions

#### Least Common Multiple

#### Powers and Exponents

#### Properties of Exponents

##### Rules of Exponents

- How Do You Find the Quotient of Powers with Numbers?
- How Do You Find the Quotient of Powers with Variables?
- How Do You Find the Product of Powers with Numbers?
- How Do You Find the Product of Powers with Variables?
- What's the Power of a Product Rule?
- How Do You Take the Power of a Quotient with Numbers?
- What's the Power of a Quotient Rule?
- What's the Power of a Power Rule?
- What's the Quotient of Powers Rule?
- How Do You Take the Power of a Product with Numbers?
- What's the Product of Powers Rule?
- How Do You Take a Power to a Power with Numbers?

##### Negative and Zero Exponents

##### Exponent Rules and Monomials

#### Scientific Notation

### Rational Numbers

#### Rational Numbers Definitions and Basics

##### Rational Number Definitions

##### Converting Decimals and Fractions

- How Do You Turn a Mixed Fraction Into an Improper Fraction?
- How Do You Turn a Repeating Decimal Into a Fraction?
- How Do You Turn an Improper Fraction Into a Mixed Fraction?
- How Do You Turn a Fraction Into a Terminating Decimal?
- How Do You Turn a Fraction Into a Repeating Decimal?
- How Do You Turn a Terminating Decimal Into a Fraction?
- How Do You Turn an Integer Into a Fraction?

##### Comparing Rational Numbers

#### Adding and Subtracting Fractions

##### Adding Fractions

- How Do You Add Two Fractions with the Same Denominator?
- How Do You Add Mixed Fractions with the Same Denominator?
- How Do You Add Mixed Fractions with Different Denominators by Converting to Improper Fractions?
- How Do You Add Fractions with Different Denominators?
- How Do You Add Fractions with the Same Denominator?
- How Do You Add Two Fractions with Different Denominators?
- How Do You Add Mixed Fractions with the Same Denominator by Converting to Improper Fractions?

##### Subtracting Fractions

- How Do You Subtract Two Fractions with Different Denominators?
- How Do You Subtract Fractions with the Same Denominator?
- How Do You Subtract Fractions with Different Denominators?
- How Do You Subtract Mixed Fractions with the Same Denominator?
- How Do You Subtract Mixed Fractions with Different Denominators by Regrouping?
- How Do You Subtract Two Fractions with the Same Denominator?
- How Do You Subtract Mixed Fractions with Different Denominators by Converting to Improper Fractions?

#### Multiplying and Dividing Fractions

#### Decimal Operations

#### Solving Fraction Equations

##### Solving One-Step Fraction Equations

- How Do You Solve an Equation Where You're Multiplying Fractions?
- How Do You Solve an Equation With Fractions With Different Denominators Using Subtraction?
- How Do You Solve a Word Problem Using an Equation Where You're Multiplying Fractions?
- How Do You Solve an Equation With Fractions With The Same Denominators Using Addition?
- How Do You Solve an Equation With Fractions With The Same Denominators Using Subtraction?
- How Do You Solve an Equation With Fractions With Different Denominators Using Addition?

##### Solving Multi-Step Fraction Equations

- How Do You Solve a Two-Step Equation with Fractions Using Reverse Order of Operations and Reciprocals?
- How Do You Solve a Two-Step Equation by Distributing a Fraction First?
- How Do You Solve a Two-Step Equation by Multiplying by a Reciprocal?
- How Do You Solve a Two-Step Equation with Fractions by Multiplying Away the Fraction?

#### Solving Decimal Equations

#### Solving Inequalities with Rational Numbers

##### Solving Inequalities with Fractions

- How Do You Solve an Inequality Where You're Multiplying Positive Fractions?
- How Do You Solve an Inequality By Subtracting Fractions?
- How Do You Solve an Inequality Word Problem Where You're Multiplying Positive Fractions?
- How Do You Solve an Inequality Where You're Multiplying Negative Fractions?
- How Do You Solve an Inequality Word Problem Where You're Multiplying Negative Fractions?
- How Do You Solve an Inequality By Adding Fractions?

##### Solving Inequalities with Decimals

### Ratios and Proportions

#### Ratios

#### Rates and Unit Rates

#### Proportions and Proportionality

#### Similar Figures and Indirect Measurement

##### Similar Figures

- What are Similar Figures?
- How Do You Find Missing Measurements of Similar Figures Using a Scale Factor?
- How do you Figure Out if Two Figures are Similar?
- What are Corresponding Parts in Similar Figures?
- How Do You Find Missing Measurements of Similar Figures Using a Proportion?
- How Do You Find a Scale Factor in Similar Figures?

##### Indirect Measurement

#### Scale Models

##### Using Scale Models

- How Do You Find the Scale of a Model?
- How Do You Use the Scale on a Map to Find an Actual Distance?
- What is a Scale?
- How Do You Figure Out What Size a Model Should Be if You Have a Scale?
- How Do You Solve a Scale Model Problem Using a Proportion?
- What is a Scale Drawing?
- How Do You Solve a Scale Model Problem Using a Scale Factor?

### Percents

#### Fractions, Decimals, and Percents

#### The Percent Proportion

##### Using the Percent Proportion

- How Do You Set Up a Percent Proportion from a Word Problem?
- How Do You Use a Proportion to Find What Percent a Part is of a Whole?
- How Do You Use a Proportion to Find a Part of a Whole?
- What's a Percent Proportion?
- How Do You Solve a Word Problem Using a Percent Proportion?
- How Do You Use a Proportion to Find a Whole?

#### The Percent Equation

#### Percent of Change

#### Finding Percents Mentally and Estimating Percents

#### Applications of Percents

### Linear Functions and Graphing

#### Functions

#### Linear Equations

#### Rate of Change and Slope

#### Slope-Intercept Form

##### Working with Slope-Intercept Form

- How Do You Write an Equation of a Line in Slope-Intercept Form If You Have Two Points?
- What's Slope-Intercept Form of a Linear Equation?
- 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?
- How Do You Graph a Line If You're Given the Slope and the Intercept?
- How Do You Write the Equation of a Line in Slope-Intercept Form If You Have a Table?

#### Point-Slope Form

##### Working with Point-Slope Form

- How Do You Write an Equation of a Line in Point-Slope Form If You Have the Slope and One Point?
- What's Point-Slope Form of a Linear Equation?
- How Do You Write an Equation of a Line in Point-Slope Form If You Have Two Points?
- How Do You Use Point-Slope Form to Write an Equation from a Table?
- How Do You Put an Equation in Point-Slope Form Into Standard or Slope-Intercept Form?

##### Parallel and Perpendicular Lines

- How Do You Find the Slope of a Line If You Have a Parallel Line?
- 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 Know if Two Lines are Perpendicular?
- How Do You Write an Equation of a Line in Slope-Intercept Form If You Have One Point and a Parallel Line?
- How Do You Find the Slope of a Line If You Have a Perpendicular Line?
- How Do You Know if Two Lines are Parallel?

#### Direct Variation

##### Direct Variation Definitions

##### Working with Direct Variation

- How Do You Write an Equation for Direct Variation Given a Point?
- How Do You Use the Formula for Direct Variation?
- How Do You Write an Equation for Direct Variation from a Table?
- How Do You Solve a Word Problem Using the Direct Variation Formula?
- How Do You Find the Constant of Variation from a Direct Variation Equation?

#### Systems of Equations

#### Linear Inequalities

##### Graphing Linear Inequalities

- What's a Half-Plane?
- What is a Linear Inequality?
- How Do You Graph an Inequality on the Coordinate Plane?
- How Do You Determine if an Ordered Pair is a Solution to a Linear Inequality?
- What's a Boundary?
- How Do You Figure Out Whether a Boundary is a Part of the Graph of an Inequality?
- How Do You Solve and Graph Inequalities from a Word Problem?

##### Systems of Linear Inequalities

#### Scatter Plots and Best-Fit Lines

##### Defining Scatter Plots and Correlation

##### Using Scatter Plots and Making Predictions

- How Do You Use a Scatter Plot to Find a Positive Correlation?
- How Do You Use a Scatter Plot to Find a Negative Correlation?
- How Do You Make a Scatter Plot?
- How Do You Use a Scatter Plot to Find a Line of Fit?
- How Do You Use a Scatter Plot to Find No Correlation?
- How Do You Write and Use a Prediction Equation?

### Geometry

#### Points, Lines, Planes, and Angles

#### Angle Relationships and Parallel Lines

#### Polygons

#### Quadrilaterals

#### Triangles

##### Triangle Definitions

##### Finding Angles in Triangles

- How Do You Find Missing Angles in a Triangle With Variables?
- How Do You Find the Angles in a Triangle if You Have a Ratio of Their Measures?
- How Do You Find Missing Angles in an Isosceles Triangle Using Right Triangles?
- How Do You Find a Missing Angle in a Triangle?
- How Do You Find a Missing Angle in a Right Triangle?
- How Do You Find Missing Angles in an Isosceles Triangle?

#### Congruence

#### Transformations and Symmetry

### Real Numbers and Right Triangles

### Perimeter, Area and Volume

#### Perimeter and Area

##### Perimeter

##### Area Formulas

##### Using Area Formulas

- How Do You Find the Base of a Parallelogram if You Know the Area and Height?
- How Do You Find the Height of a Trapezoid if You Know the Area and Bases?
- How Do You Find the Area of a Trapezoid?
- How Do You Find the Area of a Rectangle?
- How Do You Find the Area of a Triangle?
- How Do You Find the Area of a Composite Figure?
- How Do You Find the Length of a Rectangle if You Know its Width and Area?
- How Do You Find the Height of a Triangle if You Know the Area and Base?
- How Do You Find the Area of a Parallelogram?

#### Circles

##### Circle Definitions

##### Circumference

##### Areas of Circles and Sectors

- How Do You Find the Area of a Circle if You Know the Radius?
- What is the Formula for the Area of a Sector of a Circle?
- How Do You Find the Area of a Sector of a Circle?
- How Do You Find the Area of a Circle if You Know the Diameter?
- How Do You Find the Radius of a Circle if You Know the Area?
- What is the Formula for the Area of a Circle?

#### Three-Dimensional Figures

#### Volume

##### Volume Formulas

##### Finding Volumes

- How Do You Find the Volume of a Cylinder?
- How Do You Find the Volume of a Triangular Pyramid?
- How Do You Find the Volume of a Composite Figure?
- How Do You Find the Volume of a Sphere?
- How Do You Find the Volume of a Triangular Prism?
- How Do You Find the Volume of a Rectangular Pyramid?
- How Do You Find the Volume of a Cone?
- How Do You Find the Volume of a Rectangular Prism?
- How Do You Find the Height of a Cylinder if You Know the Volume?

#### Surface Area

##### Surface Area Definitions and Formulas

##### Finding Lateral and Surface Areas

- How Do You Find the Lateral and Surface Areas of a Cylinder?
- How Do You Find the Surface Area of a Sphere?
- How Do You Find the Lateral and Surface Areas of a Cone if You Don't Know the Slant Height?
- How Do You Find the Lateral and Surface Areas of a Triangular Prism?
- How Do You Find the Lateral and Surface Areas of a Cone?
- How Do You Find the Lateral and Surface Areas of a Regular Pyramid?
- How Do You Find the Lateral and Surface Areas of a Rectangular Prism?

#### Similar Solids

### Probability and Data Analysis

#### Probability and Odds

##### Simple Probability

- What is Probability?
- What is an Outcome?
- How Do You Find the Probability of the Complement of an Event?
- How Do You Determine All the Possible Outcomes of an Experiment?
- What is the Complement of an Event?
- How Do You Use a Simulation to Solve a Problem?
- How Do You Find the Probability of a Simple Event?
- What is a Sample Space?

#### Counting Outcomes

#### Permutations and Combinations

#### Compound Events

#### Sampling Methods

#### Measures of Central Tendency and Variation

##### Measures of Central Tendency

- How Do You Find the Mode of a Data Set?
- How Do You Find the Mode of a Data Set When There is More Than One Mode?
- What is the Mean of a Data Set?
- What is the Median of a Data Set?
- What is the Mode of a Data Set?
- How Do You Find an Average?
- How Do You Find the Mean of a Data Set?
- How Do You Find the Median of a Data Set?
- How Do You Find the Mode of a Data Set Where All The Numbers are Different?

##### Measures of Variation

#### Displaying Data

##### Graphs and Displaying Data

- How Do You Use a Line Graph to Make Predictions?
- What is Numerical, or Quantitative, Data?
- How Do You Use a Circle Graph to Make Predictions?
- What is a Line Graph?
- How Do You Interpret a Bar Graph With a Break in the Scale?
- How Do You Interpret a Circle Graph?
- What is a Circle Graph?
- What is a Double Bar Graph?

#### Frequency and Histograms

### Polynomials and Nonlinear Functions

#### Polynomials

#### Adding and Subtracting Polynomials

#### Multiplying and Dividing Monomials and Polynomials

#### Multiplying Binomials

#### Non-Linear Functions

#### Exponential Functions, Growth and Decay

#### Sequences

##### Arithmetic Sequences

- Where Does the Formula for a Term in an Arithmetic Sequence Come From?
- What's a Sequence?
- How Do You Find the Nth Term in an Arithmetic Sequence?
- What's a Term in a Sequence?
- How Do You Find the Next Terms in an Arithmetic Sequence?
- What's the Common Difference?
- What's an Arithmetic Sequence?
- How Do You Find the Common Difference in a Sequence?

##### Geometric Sequences

#### Inverse Variation