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Pre-Algebra
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
- How Do You Complete a Table By Plugging in Values?
- How Do You Evaluate an Algebraic Expression with One Variable?
- How Do You Evaluate an Algebraic Expression with Two Variables?
- How Do You Evaluate an Algebraic Expression?
- How Do You Plug Variables into an Algebraic Expression?
- How Do You Use the Order of Operations?
- What Are Numerical and Algebraic Expressions?
- What is a Variable?
- What is the Substitution Property of Equality?
- What's the Order of Operations?
Translating Between Words and Math
- 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?
- How Do You Write an Equation From a Word Problem?
- How Do You Write and Solve an Equation From a Word Problem?
- 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
- How Do You Determine if an Ordered Pair is a Solution to an Equation?
- How Do You Graph a Linear Equation?
- How Do You Graph Ordered Pairs in Each Quadrant?
- How Do You Graph Points in the Coordinate Plane?
- How Do You Identify Points on a Graph?
- What are Quadrants in the Coordinate Plane?
- What is an Ordered Pair?
- What is the Coordinate Plane?
- What is the Origin?
- What is the X-Axis?
- What is the X-Coordinate?
- What is the Y-Axis?
- What is the Y-Coordinate?
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
- How Do You Solve an Inequality by Multiplying by a Negative Number?
- How Do You Solve an Inequality by Multiplying by a Positive Number?
- How Do You Solve an Inequality Word Problem by Multiplying by a Negative Number?
- How Do You Solve an Inequality Word Problem by Multiplying by a Positive Number?
- What's the Multiplication Property of Inequality?
Solving Inequalities by Dividing
- How Do You Solve an Inequality 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 Negative Number?
- How Do You Solve an Inequality Word Problem by Dividing by a Positive 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 Celsius to Fahrenheit?
- How Do You Convert a Temperature from Fahrenheit to Celsius?
- 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?
- What is the Formula Connecting Distance, Rate, and Time?
Factors, Fractions, and Exponents
Divisibility and Factors
Prime Factorization and Greatest Common Factor
Prime Factorization
Greatest Common Factor
- How Do You Factor a Greatest Common Factor Out of an Expression?
- How Do You Find the Greatest Common Factor If There are No Common Factors?
- How Do You Find the Greatest Common Factor of Monomials?
- 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?
Simplifying Fractions
Least Common Multiple
Powers and Exponents
Properties of Exponents
Rules of Exponents
- How Do You Find the Product of Powers with Numbers?
- How Do You Find the Product of Powers with Variables?
- How Do You Find the Quotient of Powers with Numbers?
- How Do You Find the Quotient of Powers with Variables?
- How Do You Take a Power to a Power with Numbers?
- How Do You Take the Power of a Product with Numbers?
- How Do You Take the Power of a Quotient with Numbers?
- What's the Power of a Power Rule?
- What's the Power of a Product Rule?
- What's the Power of a Quotient Rule?
- What's the Product of Powers Rule?
- What's the Quotient of Powers Rule?
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 Fraction Into a Repeating Decimal?
- How Do You Turn a Fraction Into a Terminating Decimal?
- 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 a Terminating Decimal Into a Fraction?
- How Do You Turn an Improper Fraction Into a Mixed Fraction?
- How Do You Turn an Integer Into a Fraction?
Comparing Rational Numbers
Adding and Subtracting Fractions
Adding Fractions
- How Do You Add Fractions with Different Denominators?
- How Do You Add Fractions with the Same Denominator?
- How Do You Add Mixed Fractions with Different Denominators by Converting to Improper Fractions?
- How Do You Add Mixed Fractions with the Same Denominator by Converting to Improper Fractions?
- How Do You Add Mixed Fractions with the Same Denominator?
- How Do You Add Two Fractions with Different Denominators?
- How Do You Add Two Fractions with the Same Denominator?
Subtracting Fractions
- How Do You Subtract Fractions with Different Denominators?
- How Do You Subtract Fractions with the Same Denominator?
- How Do You Subtract Mixed Fractions with Different Denominators by Converting to Improper Fractions?
- How Do You Subtract Mixed Fractions with Different Denominators by Regrouping?
- How Do You Subtract Mixed Fractions with the Same Denominator?
- How Do You Subtract Two Fractions with Different Denominators?
- How Do You Subtract Two Fractions with the Same Denominator?
Multiplying and Dividing Fractions
Decimal Operations
Solving Fraction Equations
Solving One-Step Fraction Equations
- How Do You Solve a Word Problem Using an Equation Where You're Multiplying Fractions?
- How Do You Solve an Equation Where You're Multiplying Fractions?
- How Do You Solve an Equation With Fractions With Different Denominators Using Addition?
- How Do You Solve an Equation With Fractions With Different Denominators Using Subtraction?
- 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?
Solving Multi-Step Fraction Equations
- 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?
- How Do You Solve a Two-Step Equation with Fractions Using Reverse Order of Operations and Reciprocals?
Solving Decimal Equations
Solving Inequalities with Rational Numbers
Solving Inequalities with Fractions
- How Do You Solve an Inequality By Adding Fractions?
- How Do You Solve an Inequality By Subtracting Fractions?
- How Do You Solve an Inequality Where You're Multiplying Negative Fractions?
- How Do You Solve an Inequality Where You're Multiplying Positive Fractions?
- How Do You Solve an Inequality Word Problem Where You're Multiplying Negative Fractions?
- How Do You Solve an Inequality Word Problem Where You're Multiplying Positive Fractions?
Solving Inequalities with Decimals
Ratios and Proportions
Ratios
Rates and Unit Rates
Proportions and Proportionality
Similar Figures and Indirect Measurement
Similar Figures
- How do you Figure Out if Two Figures are Similar?
- How Do You Find a Scale Factor in Similar Figures?
- How Do You Find Missing Measurements of Similar Figures Using a Proportion?
- How Do You Find Missing Measurements of Similar Figures Using a Scale Factor?
- What are Corresponding Parts in Similar Figures?
- What are Similar Figures?
Indirect Measurement
Scale Models
Using Scale Models
- How Do You Figure Out What Size a Model Should Be if You Have a Scale?
- How Do You Find the Scale of a Model?
- How Do You Solve a Scale Model Problem Using a Proportion?
- How Do You Solve a Scale Model Problem Using a Scale Factor?
- How Do You Use the Scale on a Map to Find an Actual Distance?
- What is a Scale Drawing?
- What is a Scale?
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 Solve a Word Problem Using a Percent Proportion?
- How Do You Use a Proportion to Find a Part of a Whole?
- How Do You Use a Proportion to Find a Whole?
- How Do You Use a Proportion to Find What Percent a Part is of a Whole?
- What's a Percent Proportion?
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 Graph a Line If You're Given the Slope and the Intercept?
- 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 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 the Equation of a Line in Slope-Intercept Form If You Have a Table?
- What's Slope-Intercept Form of a Linear Equation?
Point-Slope Form
Working with Point-Slope Form
- How Do You Put an Equation in Point-Slope Form Into Standard or Slope-Intercept Form?
- How Do You Use Point-Slope Form to Write an Equation from a Table?
- 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 If You Have Two Points?
- What's Point-Slope Form of a Linear Equation?
Parallel and Perpendicular Lines
- How Do You Find the Slope of a Line If You Have 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?
- 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 Write an Equation of a Line in Slope-Intercept Form If You Have One Point and a Perpendicular Line?
Direct Variation
Direct Variation Definitions
Working with Direct Variation
- How Do You Find the Constant of Variation from a Direct Variation Equation?
- How Do You Solve a Word Problem Using the Direct Variation Formula?
- How Do You Use the Formula for Direct Variation?
- How Do You Write an Equation for Direct Variation from a Table?
- How Do You Write an Equation for Direct Variation Given a Point?
Systems of Equations
Linear Inequalities
Graphing Linear Inequalities
- How Do You Determine if an Ordered Pair is a Solution to a Linear Inequality?
- How Do You Figure Out Whether a Boundary is a Part of the Graph of an Inequality?
- How Do You Graph an Inequality on the Coordinate Plane?
- How Do You Solve and Graph Inequalities from a Word Problem?
- What is a Linear Inequality?
- What's a Boundary?
- What's a Half-Plane?
Systems of Linear Inequalities
Scatter Plots and Best-Fit Lines
Defining Scatter Plots and Correlation
Using Scatter Plots and Making Predictions
- 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 a Negative Correlation?
- How Do You Use a Scatter Plot to Find a Positive Correlation?
- 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 a Missing Angle in a Right Triangle?
- How Do You Find a Missing Angle in a Triangle?
- How Do You Find Missing Angles in a Triangle With Variables?
- How Do You Find Missing Angles in an Isosceles Triangle Using Right Triangles?
- How Do You Find Missing Angles in an Isosceles Triangle?
- How Do You Find the Angles in a Triangle if You Have a Ratio of Their Measures?
Congruence
Transformations and Symmetry
Real Numbers and Right Triangles
Squares and Square Roots
Irrational and Real Numbers
The Pythagorean Theorem
The Distance and Midpoint Formulas
Special Right Triangles
Trigonometric Ratios
Perimeter, Area and Volume
Perimeter and Area
Perimeter
Area Formulas
Using Area Formulas
- How Do You Find the Area of a Composite Figure?
- How Do You Find the Area of a Parallelogram?
- How Do You Find the Area of a Rectangle?
- How Do You Find the Area of a Trapezoid?
- How Do You Find the Area of a Triangle?
- 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 Height of a Triangle if You Know the Area and Base?
- How Do You Find the Length of a Rectangle if You Know its Width and Area?
Circles
Circle Definitions
Circumference
Areas of Circles and Sectors
- How Do You Find the Area of a Circle if You Know the Diameter?
- How Do You Find the Area of a Circle if You Know the Radius?
- How Do You Find the Area of a Sector of a Circle?
- How Do You Find the Radius of a Circle if You Know the Area?
- What is the Formula for the Area of a Circle?
- What is the Formula for the Area of a Sector of a Circle?
Three-Dimensional Figures
Volume
Volume Formulas
Finding Volumes
- How Do You Find the Height of a Cylinder if You Know the Volume?
- How Do You Find the Volume of a Composite Figure?
- How Do You Find the Volume of a Cone?
- How Do You Find the Volume of a Cylinder?
- How Do You Find the Volume of a Rectangular Prism?
- How Do You Find the Volume of a Rectangular Pyramid?
- 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 Triangular Pyramid?
Surface Area
Surface Area Definitions and Formulas
Finding Lateral and Surface Areas
- 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 Cone?
- How Do You Find the Lateral and Surface Areas of a Cylinder?
- How Do You Find the Lateral and Surface Areas of a Rectangular Prism?
- How Do You Find the Lateral and Surface Areas of a Regular Pyramid?
- How Do You Find the Lateral and Surface Areas of a Triangular Prism?
- How Do You Find the Surface Area of a Sphere?
Similar Solids
Probability and Data Analysis
Probability and Odds
Simple Probability
- How Do You Determine All the Possible Outcomes of an Experiment?
- How Do You Find the Probability of a Simple Event?
- How Do You Find the Probability of the Complement of an Event?
- How Do You Use a Simulation to Solve a Problem?
- What is a Sample Space?
- What is an Outcome?
- What is Experimental Probability?
- What is Probability?
- What is the Complement of an Event?
Counting Outcomes
Permutations and Combinations
Compound Events
Sampling Methods
Measures of Central Tendency and Variation
Measures of Central Tendency
- 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 When There is More Than One Mode?
- 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?
- What is the Mean of a Data Set?
- What is the Median of a Data Set?
- What is the Mode of a Data Set?
Measures of Variation
Displaying Data
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
- How Do You Find the Common Difference in an Arithmetic Sequence?
- How Do You Find the Next Terms in an Arithmetic Sequence?
- How Do You Find the Nth Term in an Arithmetic Sequence?
- What's a Sequence?
- What's a Term in a Sequence?
- What's an Arithmetic Sequence?
- What's the Common Difference?
- Where Does the Formula for a Term in an Arithmetic Sequence Come From?
Geometric Sequences
Inverse Variation