This is a list of all Virtual Nerd tutorials in Algebra 1, organized by topic.

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### Getting Ready for Algebra

### Foundations for Algebra

#### Variables and Expressions

##### Introduction to Algebraic Expressions

##### Translating Between Words and Math

- 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 Simple Expression into Words?
- 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 Simple Equation into Words?
- How Do You Turn a More Complicated Equation into Words?

#### Representing and Comparing Real Numbers

##### Sets and Number Lines

- How Do You Find a Solution Set When You Have A Replacement Set?
- What's a Set?
- How Do You Graph a Set on a Number Line?
- What's a Venn Diagram, and How Do You Find the Intersection and Union of a Set?
- How Do You Name a Set That's Graphed on a Number Line?
- How Do You Find a Union and Intersection from a Venn Diagram?

##### Inequalities and Comparing Real Numbers

- What Are Some Words We Use When We Have Inequalities?
- What's an Inequality?
- How Do You Determine if a Value is a Solution to an Inequality?
- How Do You Graph the Intersection of Two Inequalities?
- How Do You Figure Out Which of Two Fractions is Bigger?
- How Do You Write an Inequality from a Number Line Graph?
- How Do You Solve a Word Problem By Writing an Inequality?
- How Do You Graph an Inequality or an Infinite Set on a Number Line?
- How Do You Put Real Numbers in Order?
- How Do You Graph the Union of Two Inequalities?
- How Do You Write Inequalities in Set Builder Notation?

#### Real Number Types and Properties

##### Types of Numbers

- What's Another Definition for an Integer?
- What are Consecutive Numbers?
- What's Another Definition for Prime and Composite Numbers?
- What's a Rational Number?
- What's an Irrational Number?
- What's a Prime Number?
- How Do Different Categories of Numbers Compare To Each Other?
- What's an Integer?
- What are Natural and Whole Numbers?
- What's a Real Number?

##### Real Number Properties

- What are the Inverse Properties of Addition and Multiplication?
- What Does Absolute Value Mean?
- 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?
- How Do You Find the Absolute Value of Positive and Negative Numbers?
- How Do You Use the Associative Property?
- What are the Multiplication Properties of 0 and -1?
- What Does Absolute Value Mean In the Real World?

#### Adding and Subtracting Real Numbers

##### Adding Real Numbers

- How Do You Add Fractions with Variables?
- How Do You Add Fractions with Different Denominators?
- How Do You Add a Negative Number to a Positive Number?
- How Do You Add Decimals?
- What are the Rules for Using Absolute Values to Add Integers?
- How Do You Add Two Negative Numbers?
- How Do You Add Fractions with the Same Denominator?
- What are Trailing Zeros?
- How Do You Find a Common Denominator and a Least Common Denominator?

##### Subtracting Real Numbers

- How Do You Subtract a Positive Number from a Negative Number?
- How Do You Subtract a Whole Number from a Fraction?
- How Do You Subtract Decimals?
- What is the Opposite, or Additive Inverse, of a Number?
- How Do You Rewrite Subtraction as Addition?
- How Do You Add and Subtract a Bunch of Numbers with Different Signs?
- How Do You Subtract Fractions with the Same Denominator?
- How Do You Subtract Fractions with Variables?
- How Do You Subtract Fractions with Different Denominators?
- How Do You Subtract a Negative Number from a Positive Number?

#### Multiplying and Dividing Real Numbers

##### Multiplying Real Numbers

- How Do You Solve a Word Problem Where You Multiply and Subtract Whole Numbers and Fractions?
- How Do You Multiply and Divide Numbers with Different Signs?
- How Do You Multiply Decimals?
- How Do You Multiply A Whole Number By A Fraction?
- How Do You Figure Out the Sign of a Product or Quotient?
- How Do You Multiply Fractions?
- How Do You Multiply a Whole Number by a Fraction?

##### Dividing Real Numbers

#### Powers and Square Roots

#### Simplifying Algebraic Expressions

### Solving Linear Equations

#### One-Step Equations

##### Properties of Equality

##### Solving One-Step Equations

- How Do You Solve a Decimal Equation Using Division?
- 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?
- How Do You Solve an Equation by Guessing and Checking?
- How Do You Solve an Equation Using Division?
- How Do You Solve an Equation Where You're Multiplying Fractions?
- How Do You Solve a Word Problem Using an Equation Where You're Multiplying Fractions?
- How Do You Solve a Word Problem with an Equation Using Subtraction?
- How Do You Solve an Equation Using Multiplication?
- How Do You Solve a Decimal Equation Using Multiplication?
- How Do You Solve an Equation Using Addition?
- How Do You Solve a Word Problem with an Equation Using Multiplication?
- How Do You Solve a Decimal Equation Using Subtraction?
- How Do You Solve a Word Problem with an Equation Using Addition?
- How Do You Solve an Equation Using Subtraction?
- How Do You Solve an Equation With Fractions With Different Denominators Using Subtraction?
- How Do You Solve a Decimal Equation Using Addition?
- How Do You Solve an Equation With Fractions With The Same Denominators Using Addition?
- How Do You Solve a Word Problem with an Equation Using Division?

#### Two-Step and Multi-Step Equations

##### Solving Two-Step Equations

- How Do You Solve a Two-Step Equation by Multiplying by a Reciprocal?
- How Do You Solve a Two-Step Equation by Multiplying by -1 First?
- How Do You Solve a Two-Step Equation by Combining Like Terms?
- How Do You Solve a Word Problem Using a Two-Step Equation with Decimals?
- How Do You Solve a Two-Step Equation by Multiplying by -1?
- How Do You Solve a Two-Step Equation with Fractions by Multiplying Away the Fraction?
- 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 With a Negative Variable Term?
- How Do You Solve a Two-Step Equation by Distributing a Fraction First?

##### Solving Multi-Step Equations

- How Do You Solve for a Variable in a Fraction Using Multiplication First?
- How Do You Solve a Word Problem Using a Multi-Step Equation?
- How Do You Solve a Multi-Step Equation Using the Distributive Property?
- How Do You Use an Equation with Consecutive Numbers to Solve a Word Problem?
- How Do You Solve a Multi-Step Equation Using Order of Operations in Reverse?

#### Equations with Variables on Both Sides

#### Solving For a Variable and Working with Formulas

##### Solving For a Variable

##### Working with Formulas

- What is the Formula for Simple Interest?
- What's the Formula Connecting Distance, Speed, and Time?
- How Do You Solve a Formula For a Variable?
- How Do You Figure Out the Time Traveled if You Know the Distance and Speed?
- How Do You Use the Formula for Simple Interest?
- How Do You Solve an Opposite-Direction Travel Problem?
- How Do You Figure Out the Rate Traveled if You Know the Distance and Time?
- How Do You Solve a More Complicated Interest Problem?
- How Do You Find the Length of a Rectangle if You Know its Width and Area?

#### Ratios and Proportions

##### Proportion Definitions

##### Working with Proportions

- How Do You Write a Ratio From a Word Problem?
- How Do You Solve a Proportion Using Cross Products?
- How Do You Find Equivalent Ratios?
- How Do You Solve a Word Problem Using a Proportion?
- How Do You Solve a Proportion Using the Multiplication Property of Equality?
- How Do You Solve a Proportion by Finding an Equivalent Ratio?
- How Do You Know If Two Ratios are Proportional?
- How Do You Set Up a Proportion from a Word Problem?

##### Rates and Dimensional Analysis

- What are Rates and Unit Rates?
- What is Dimensional, or Unit Analysis?
- How Do You Use Dimensional Analysis to Convert Units on Both Parts of a Rate?
- How Do You Use Dimensional Analysis to Convert Units on One Part of a Rate?
- How Do You Use Unit Rates to Compare Rates?
- How Do You Convert a Rate To A Unit Rate?
- How Do You Solve a Word Problem Using Unit Rates?

##### Similar Figures and Indirect Measurement

- How Do You Find Missing Measurements of Similar Figures Using a Proportion?
- What is a Scale?
- How Do You Solve a Scale Model Problem Using a Scale Factor?
- What are Corresponding Parts in Similar Figures?
- What are Similar Figures?
- How Do You Find the Scale of a Model?
- How do you Figure Out if Two Figures are Similar?
- How Do You Use the Scale on a Map to Find an Actual Distance?
- How Do You Find a Scale Factor in Similar Figures?
- How Do You Solve a Problem Using Indirect Measurement with Shadows?
- What is a Scale Drawing?
- How Do You Find Missing Measurements of Similar Figures Using a Scale Factor?
- How Do You Figure Out What Size a Model Should Be if You Have a Scale?

#### Percents and Percent of Change

##### Percents and Percent Proportions

- How Do You Figure Out the Volume of a Solution Using Percents?
- What is the Percent Equation?
- How Do You Use a Proportion to Find What Percent a Part is of a Whole?
- How Do You Turn a Percent Into a Fraction?
- How Do You Solve a Word Problem Using a Percent Proportion?
- How Do You Set Up a Percent Proportion from a Word Problem?
- What's a Percent Proportion?
- How Do You Find the Intersection of Percent Data by Using a Venn Diagram?
- What's a Percent?
- How Do You Use a Proportion to Find a Whole?
- How Do You Turn a Decimal into a Percent?
- How Do You Turn a Fraction Into a Percent?
- How Do You Figure Out Sales Tax?
- How Do You Use an Equation to Find a Whole?
- How Do You Turn a Percent into a Decimal?
- How Do You Put Fractions, Decimals, and Percents in Order?
- How Do You Use an Equation to Find a Part of a Whole?
- How Do You Use a Proportion to Find a Part of a Whole?

##### Percent of Change

### Relations and Functions

#### The Coordinate Plane

##### Graphing in the Coordinate Plane

- What is an Ordered Pair?
- How Do You Identify Points on a Graph?
- Why Is It Called an Ordered Pair?
- What is the X-Axis?
- What are Quadrants in the Coordinate Plane?
- What are the Coordinate Axes?
- What is the Origin?
- What is the X-Coordinate?
- How Do You Plot Points in the Coordinate Plane?
- What is the Y-Axis?
- What is the Coordinate Plane?
- What is the Y-Coordinate?

#### Relations

#### Functions

#### Graphing Linear Equations

#### Transformations

##### Transformations of Linear Functions

##### Transformations of Figures in the Coordinate Plane

- What is a Translation?
- How Do You Use Coordinates to Translate a Figure Vertically?
- What is an Image?
- How Do You Rotate a Figure 90 Degrees Around the Origin?
- How Do You Use a Graph to Translate a Figure Diagonally?
- How Do You Use a Graph to Reflect a Figure Over the Y-Axis?
- How Do You Use Coordinates to Translate a Figure Horizontally?
- What is a Line of Reflection?
- What is a Rotation?
- How Do You Use a Graph to Reflect a Figure Over the X-Axis?
- What is a Transformation?
- How Do You Use a Graph to Translate a Figure Horizontally?
- How Do You Use Coordinates to Reflect a Figure Over the Y-Axis?
- How Do You Use Coordinates to Reflect a Figure Over the X-Axis?
- How Do You Rotate a Figure 270 Degrees Around the Origin?
- How Do You Make a Figure Larger Using a Dilation?
- How Do You Use a Graph to Translate a Figure Vertically?
- What is a Dilation?
- What is a Reflection?
- How Do You Rotate a Figure 180 Degrees Around the Origin?

#### Arithmetic Sequences

### Analyzing Linear Equations

#### Rate of Change and Slope

##### Defining Slope

- What is Rate of Change?
- How Do You Find the Rate of Change Between Two Points on a Graph?
- What Does Undefined Slope Mean?
- What Does 0 Slope Mean?
- What Does Positive Slope Mean?
- What's the Formula for Slope?
- What Does Negative Slope Mean?
- What Does the Slope of a Line Mean?
- How Do You Find the Rate of Change Between Two Points in a Table?

##### Finding Slopes

- How Do You Graph a Line If You're Given the Slope and a Single Point?
- How Do You Find the X-Coordinate of a Point on a Line If You Have Another Point and the Slope?
- How Do You Find the Slope of a Line from Two Points?
- 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?

#### Using Intercepts

#### Slope-Intercept Form

##### Working with Slope-Intercept Form

- How Do You Write the Equation of a Line in Slope-Intercept Form If You Have a Table?
- How Do You Write the Equation of a Line in Slope-Intercept Form If You Have the Slope and the Y-Intercept?
- How Do You Find the Y-Intercept of a Line If You Have Another Point and the Slope?
- How Do You Write the 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 Put an Equation in Slope-Intercept Form Into Standard or Point-Slope Form?
- 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 from a Word Problem?

#### Point-Slope Form and Standard 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 and Standard Form If You Have Two Points?
- How Do You Put an Equation in Point-Slope Form Into Standard or Slope-Intercept Form?
- 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?

##### Working with Standard Form

#### Direct Variation

##### Direct Variation Definitions

##### Using Direct Variation

- 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 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?

#### Parallel and Perpendicular Lines

#### Scatter Plots and Correlation

### Solving and Graphing Linear Inequalities

#### Solving Inequalities Using Addition and Subtraction

#### Solving Inequalities Using Multiplication and Division

##### Solving Inequalities Using Multiplication

- How Do You Solve an Inequality Where You're Multiplying Negative Fractions?
- What's the Multiplication Property of Inequality?
- How Do You Use Multiplication with Positive Numbers to Solve an Inequality Word Problem?
- How Do You Solve an Inequality with Negative Numbers Using Multiplication?
- How Do You Use Multiplication with Negative Numbers to Solve an Inequality Word Problem?
- How Do You Solve a Word Problem Using an Inequality Where You're Multiplying Negative Fractions?
- How Do You Solve an Inequality with Positive Numbers Using Multiplication?
- How Do You Solve an Inequality Where You're Multiplying Positive Fractions?
- How Do You Solve a Word Problem Using an Inequality Where You're Multiplying Positive Fractions?

##### Solving Inequalities Using Division

- How Do You Solve an Inequality with Positive Numbers Using Division?
- How Do You Use Division with Positive Numbers to Solve an Inequality Word Problem?
- How Do You Solve an Inequality with Negative Numbers Using Division?
- What's the Division Property of Inequality?
- How Do You Solve a Decimal Inequality Using Division?
- How Do You Solve a Decimal Inequality Using Division with Negative Numbers?
- How Do You Use Division with Negative Numbers to Solve an Inequality Word Problem?

#### Multi-Step Inequalities

#### Compound Inequalities

#### Absolute Value Equations

#### Absolute Value Inequalities

#### Graphing Inequalities in Two Variables

##### Graphing Inequalities in the Coordinate Plane

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

### Systems of Equations and Inequalities

#### Solving Systems of Equations By Graphing

#### Solving Systems of Equations Using Substitution

#### Solving Systems of Equations Using Elimination

##### Elimination by Addition and Subtraction

- 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?
- 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?

##### Elimination by Multiplication

#### Solving Special Systems

#### Systems of Inequalities

### Exponents and Exponential Functions

#### Properties of Exponents

#### Monomials and Polynomials

##### Monomials

- 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?
- 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?

##### Polynomials

#### Scientific Notation

##### Working with Scientific Notation

- How Do You Convert From Decimal Notation to Scientific Notation?
- How Do You Order Numbers in Scientific Notation?
- What's 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?

#### Exponential Functions

#### Exponential Growth and Decay

#### Geometric Sequences

### Polynomials and Factoring

#### Adding and Subtracting Polynomials

#### Multiplying Polynomials

#### Special Products of Polynomials

#### Factors and Greatest Common Factors

##### Factors

##### Greatest Common Factors

- How Do You Find the Greatest Common Factor If There are No Common Factors?
- How Do You Factor the Greatest Common Factor out of a Polynomial?
- How Do You Find the Greatest Common Factor of Monomials?
- How Do You Find the Greatest Common Factor of Two Numbers Using Prime Factorization?
- How Do You Find the Greatest Common Factor of Three Numbers?

#### Factoring Trinomials

#### Factoring Special Products

#### Choosing Factoring Strategies and Solving Polynomial Equations

### Quadratic Equations and Functions

#### Graphing Quadratic Functions

##### Graphs of Quadratic Functions

- What is the Minimum of a Quadratic Function?
- What is a Parabola?
- What is the Vertex of a Quadratic Function?
- How Do You Find the Axis of Symmetry for a Quadratic Function?
- How Do You Graph a Quadratic Function?
- How Do You Find the a, b, and c Values of a Quadratic Function?
- What is a Quadratic Function?
- What is the Maximum of a Quadratic Function?
- How Do You Determine if the Vertex of a Quadratic Function Will be a Maximum or Minimum?
- How Do You Find the Vertex of a Quadratic Function?
- What is the Axis of Symmetry of a Quadratic Function?
- How Do You Make a Table for a Quadratic Function?

##### Transforming Quadratic Graphs

#### Solve Quadratics by Graphing

#### Solve Quadratics by Factoring and with Square Roots

#### Completing the Square

#### The Quadratic Formula and the Discriminant

##### Solving Quadratics Using the Quadratic Formula

##### Using the Discriminant

- How Do You Find The Discriminant of a Quadratic Equation With 2 Solutions?
- How Do You Find The Discriminant of a Quadratic Equation With No Solutions?
- How Do You Find The Discriminant of a Quadratic Equation With 1 Solution?
- What is the Discriminant?
- How Do You Use The Discriminant to Determine the Number of Solutions of a Quadratic Equation?

#### Comparing Linear, Quadratic, and Exponential Models

### Radical Expressions and Equations

#### Simplifying Radical Expressions

#### Operations with Radical Expressions

#### Graphs of Square Root Functions

#### Solve Radical Equations

#### The Pythagorean Theorem

##### Using The Pythagorean Theorem

##### Trigonometric Ratios

- How Do You Find the Tangent of an Angle in a Right Triangle?
- What is the Tangent Ratio?
- How Do You Find a Missing Side of a Right Triangle Using Tangent?
- What is the Sine Ratio?
- 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?
- How Do You Find a Missing Side of a Right Triangle Using Cosine?
- How Do You Solve a Problem Using an Angle of Elevation?

#### The Distance and Midpoint Formulas

### Rational Expressions and Functions

#### Inverse Variation

#### Rational Functions

#### Rational Expressions

##### Simplifying Rational Expressions

- What's an Algebraic Fraction?
- How Do You Reduce Common Factors in a Rational Expression?
- What's a Rational Expression?
- How Do You Simplify a Polynomial Over a Polynomial Using Opposite Binomial Factors?
- How Do You Simplify an Algebraic Fraction by Canceling Common Factors?
- How Do You Divide Two Polynomials by Factoring and Canceling?
- How Do You Divide Monomials Using the Greatest Common Factor?
- Why is it Called a Rational Expression?

##### Excluded Values

#### Multiplying and Dividing Rational Expressions

#### Dividing Polynomials

#### Adding and Subtracting Rational Expressions

##### Adding and Subtracting with Like Denominators

##### Adding and Subtracting with Unlike Denominators

- How Do You Subtract Two Rational Expressions with Different Denominators?
- How Do You Find the Least Common Denominator of Two Rational Expressions?
- 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?

#### Mixed Expressions and Complex Fractions

#### Solve Rational Equations

##### Solving Rational Equations

- How Do You Solve a Rational Equation by LCD Multiplication?
- How Do You Solve a Rational Equation?
- What's a Rational Equation?
- 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?

##### Special Rational Equations

### Probability and Data Analysis

#### Simple Probability and Odds

##### Simple Probability

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

#### Permutations and Combinations

##### Permutations

- What is a Factorial?
- What is a Permutation?
- How Do You Find a Number of Permutations Using the Fundamental Counting Principle?
- How Do You Use the Fundamental Counting Principle to Count the Number of Outcomes in a Sample Space?
- What is the Fundamental Counting Principle?
- How Do You Use a Tree Diagram to Count the Number of Outcomes in a Sample Space?

##### Combinations

#### Probability of Compound Events

#### Sampling Methods and Displaying Data

#### Measures of Central Tendency and Dispersion

##### Measures of Central Tendency

- 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?
- 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?

##### Measures of Dispersion

#### Frequency and Histograms