This is a list of all Virtual Nerd tutorials in SAT Math, organized by topic.

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### Basic Fundamentals

#### Number Basics

- What is the Number Line?
- What are the Inverse Properties of Addition and Multiplication?
- What's an Integer?
- What's Another Definition for Prime and Composite Numbers?
- Why Can't You Divide By 0?
- What's a Prime Number?
- What are Consecutive Numbers?
- What is Place Value?
- What are the Multiplication Properties of 0 and -1?
- What are Positive and Negative Numbers?

#### Operations with Integers

- How Do You Add and Subtract a Bunch of Numbers with Different Signs?
- How Do You Subtract a Positive Number from a Negative Number?
- How Do You Add a Negative Number to a Positive Number?
- How Do You Multiply and Divide Numbers with Different Signs?
- What are the Rules for Using Absolute Values to Add Integers?
- How Do You Rewrite Subtraction as Addition?
- How Do You Do Long Division?
- How Do You Add Two Negative Numbers?
- How Do You Subtract a Negative Number from a Positive Number?
- What's a Dividend and What's a Divisor?
- How Do You Figure Out the Sign of a Product or Quotient?

#### Factors and Greatest Common Factor

- How Do You Find the Greatest Common Factor of Three Numbers?
- How Do You Find All the Factors of a Number?
- How Do You Find the Prime Factorization of a Number Using a Tree?
- What's a Factor?
- How Do You Find the Greatest Common Factor If There are No Common Factors?
- How Do You Find the Greatest Common Factor of Two Numbers Using Prime Factorization?

#### Multiples and Least Common Multiple

#### Absolute Value

#### Fractions

- How Do You Add Mixed Fractions with the Same Denominator by Converting to Improper Fractions?
- How Do You Multiply Mixed Numbers?
- How Do You Multiply Fractions?
- How Do You Add Fractions with the Same Denominator?
- How Do You Add Mixed Fractions with the Same Denominator?
- How Do You Multiply a Whole Number by a Fraction?
- How Do You Subtract Fractions with the Same Denominator?
- How Do You Put Fractions in Order Using an LCD?
- How Do You Reduce A Fraction?
- How Do You Subtract Fractions with Different Denominators?
- How Do You Add Fractions with Different Denominators?
- How Do You Add Mixed Fractions with Different Denominators by Converting to Improper Fractions?
- How Do You Compare Fractions by Converting to Decimals?
- How Do You Subtract Mixed Fractions with the Same Denominator?
- What are Equivalent Fractions?
- What's a Numerator and What's A Denominator?
- How Do You Subtract Mixed Fractions with Different Denominators by Regrouping?
- What are Multiplicative Inverses?
- How Do You Simplify a Fraction Over a Whole Number?
- How Do You Simplify a Fraction Over a Fraction?
- What's the Reciprocal Rule of Division?
- What's a Reciprocal?
- How Do You Turn a Mixed Fraction Into an Improper Fraction?
- How Do You Find a Common Denominator and a Least Common Denominator?
- What's an Improper Fraction?
- How Do You Subtract Mixed Fractions with Different Denominators by Converting to Improper Fractions?
- What's a Complex Fraction?
- How Do You Divide Fractions?
- How Do You Divide Mixed Numbers?
- What's a Mixed Number?
- How Do You Compare Fractions by Finding a Common Denominator?
- How Do You Turn an Improper Fraction Into a Mixed Fraction?

#### Decimals

- What are Trailing Zeros?
- How Do You Turn a Fraction Into a Repeating Decimal?
- How Do You Do Long Division with Decimals?
- How Do You Subtract Decimals?
- How Do You Divide a Decimal by a Decimal?
- How Do You Add Decimals?
- What is a Repeating Decimal?
- How Do You Multiply Decimals?
- What is a Terminating Decimal?
- How Do You Turn a Fraction Into a Terminating Decimal?
- How Do You Put Fractions and Decimals in Order?

#### Exponents and Square Roots

- What are Exponents?
- How Do You Convert a Number in Exponential Form into Expanded Form?
- How Do You Simplify Radicals Using the Product Property?
- What's the Product of Powers Rule?
- How Do You Find the Product of Powers?
- 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 Convert a Number in Expanded Form into Exponential Form?
- How Do You Evaluate an Exponent?
- How Do You Find the Quotient of Powers with Variables?
- How Do You Find the Square Root of a Perfect Square?
- What Do You Do With a Negative Exponent?
- How Do You Evaluate Negative Exponents?
- What are Rational Exponents?
- What's a Perfect Square?
- What is the Product Property of Square Roots?
- What's the Power of a Quotient Rule?
- What is the Quotient Property of Square Roots?
- What's the Power of a Power Rule?

#### Simplifying Expressions

- How Do You Simplify an Expression?
- What is the Distributive Property?
- How Do You Distribute With Whole Numbers and Fractions?
- How Do You Use the Order of Operations?
- How Do You Factor a Greatest Common Factor Out of an Expression?
- How Do You Use the Distributive Property to Simplify an Expression?
- What's the Order of Operations?

#### Sets

### Algebra

#### Translating Between Words and Math

#### Combining Like Terms

#### Evaluating Expressions

#### Solving Equations

- What's the Subtraction Property of Equality?
- How Do You Solve for a Variable in a Fraction Using Multiplication First?
- How Do You Use an Equation with Consecutive Numbers to Solve a Word Problem?
- How Do You Solve a Multi-Step Equation Using the Distributive Property?
- What's the Division Property of Equality?
- How Do You Solve an Equation Using Multiplication?
- How Do You Solve an Equation Using Addition?
- How Do You Solve a Multi-Step Equation with Fractions by Multiplying Away the Fraction?
- How Do You Solve an Equation Using Subtraction?
- What's the Addition Property of Equality?
- How Do You Solve a Multi-Step Equation with Fractions Using Reverse Order of Operations and Reciprocals?
- How Do You Solve an Equation Using Division?
- How Do You Solve a Two-Step Equation?
- What's the Multiplication Property of Equality?
- How Do You Solve a Multi-Step Equation Using Order of Operations in Reverse?

#### Solving Inequalities

- How Do You Solve an Inequality Using Addition?
- How Do You Solve an Inequality Using Subtraction?
- What's the Multiplication Property of Inequality?
- How Do You Solve an Inequality with Negative Numbers Using Division?
- How Do You Solve an Inequality by Dividing by a Positive Number?
- How Do You Solve an Inequality with Negative Numbers Using Multiplication?
- What's an Inequality?
- What's the Division Property of Inequality?
- What's the Addition Property of Inequality?
- How Do You Solve an Inequality with Positive Numbers Using Multiplication?
- What's the Subtraction Property of Inequality?

#### Solving for a Variable

#### Systems of 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?
- How Do You Solve a System of Equations Using the Elimination by Multiplication Method?

#### d=rt

#### Monomials and Polynomials

#### Adding and Subtracting Polynomials

#### Multiplying and Dividing Polynomials

#### Factoring and Solving Quadratic Equations

#### Special Products of Quadratics

#### Functions and Advanced Algebra

### Advanced Arithmetic

#### Ratios and Proportions

#### Rates and Unit Analysis

#### Direct and Indirect Variation

- How Do You Use the Formula for Inverse Variation to Write an Equation?
- What's the Direct Variation or Direct Proportionality Formula?
- How Do You Write an Equation for Direct Variation Given a Point?
- What is the Product Rule for Inverse Variation?
- How Do You Solve a Word Problem Using the Direct Variation Formula?
- What's the Inverse Variation or Indirect Proportionality Formula?
- What's the Constant of Variation?
- How Do You Use the Formula for Direct Variation?
- How Do You Solve a Word Problem Using Inverse Variation?

#### Percentages

- How Do You Use an Equation to Find a Part of a Whole?
- How Do You Turn a Decimal into a Percent?
- How Do You Use a Proportion to Find a Part of a Whole?
- How Do You Turn a Fraction Into a Percent?
- 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?
- What's a Percent of Change?
- How Do You Figure Out a Percent of Change?
- What's a Percent Proportion?
- How Do You Use a Proportion to Find a Whole?
- What's a Percent?
- How Do You Figure Out Whether a Percent of Change is an Increase or a Decrease?
- What is the Percent Equation?
- How Do You Use an Equation to Find a Whole?
- How Do You Turn a Percent into a Decimal?

#### Averages

- How Do You Find the Mean of a Data Set?
- What is the Mean of a Data Set?
- What is the Median of a Data Set?
- How Do You Find an Average?
- What is the Mode 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?
- 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?

#### Probability and Counting

- How Do You Find the Probability of a Simple Event?
- 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?
- What is a Factorial?
- What is Probability?
- How Do You Use a Tree Diagram to Count the Number of Outcomes in a Sample Space?
- What is a Permutation?

#### Sequences

- What's an Arithmetic Sequence?
- What's a Term in a Sequence?
- How Do You Find the Next Terms in an Arithmetic Sequence?
- What's a Sequence?
- 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?
- What is the Explicit Formula for the nth Term in a Geometric Sequence?

### Geometry

#### Lines and Angles

- What are Parallel Lines?
- What is an Angle?
- How Do You Use Supplementary Angles to Find a Missing Angle?
- What is a Ray?
- What is a Line Segment?
- What are Supplementary Angles?
- What Does Congruent Mean?
- What are Vertical Angles?
- What are Acute, Obtuse, Right, and Straight Angles?
- What are Perpendicular Lines?
- What is a Transversal?
- How Do You Find Missing Angles in a Transversal Diagram?

#### Triangles

- What is the Pythagorean Theorem?
- What is the Triangle Sum Theorem?
- What is the Formula for the Area of a Triangle?
- How Do You Find a Missing Hypotenuse in a 45°-45°-90° Triangle?
- What are Similar Figures?
- What are Acute, Obtuse, and Right Triangles?
- What are Interior and Exterior Angles of a Polygon?
- How Do You Find Missing Measurements of Similar Figures Using a Proportion?
- Why Are the Angles of Equilateral Triangles Always Equal to 60°?
- What is a 30-60-90 Degree Triangle?
- How Do You Find the Perimeter of a Shape?
- How Do You Find Missing Sides in a 30Â°-60Â°-90Â° Triangle?
- How Do You Find Missing Angles in a Triangle With Variables?
- How Do You Find the Length of a Leg of a Right Triangle?
- How Do You Find Missing Angles in an Isosceles Triangle?
- What is a 45Â°-45Â°-90Â° Triangle?
- How Do You Find a Missing Angle in a Right Triangle?
- How Do You Find the Area of a Triangle?
- What is a Triangle?
- How Do You Determine if a Triangle Is a Right Triangle if You Know its Sides?
- What are the Legs and Hypotenuse of a Right Triangle?
- How Do You Find a Missing Angle in a Triangle?
- What are Equilateral, Isosceles, and Scalene Triangles?
- How Do You Find Missing Angles in an Isosceles Triangle Using Right Triangles?
- What are Corresponding Parts in Similar Figures?

#### Circles

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

#### Quadrilaterals

- What is a Quadrilateral?
- What is the Formula for the Area of a Rectangle?
- What is a Parallelogram?
- How Do You Find the Area of a Parallelogram?
- What's the Formula for the Perimeter of a Rectangle?
- What is a Square?
- What is a Rectangle?
- What is the Formula for the Area of a Parallelogram?
- How Do You Find the Base of a Parallelogram if You Know the Area and Height?
- How Do You Find the Area of a Rectangle?

#### Polygons

#### Solid Figures

- How Do You Find the Lateral and Surface Areas of a Rectangular Prism?
- What is a Solid?
- What is the Formula for the Surface Area of a Cylinder?
- How Do You Find the Volume of a Rectangular Prism?
- How Do You Find the Height of a Cylinder if You Know the Volume?
- What is a Prism?
- What is the Formula for the Surface Area of a Prism?
- What is a Cylinder?
- What is the Formula for the Volume of a Cylinder?
- How Do You Find the Volume of a Cylinder?
- What is the Formula for the Volume of a Prism?
- How Do You Find the Lateral and Surface Areas of a Cylinder?

#### The Coordinate Plane

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

#### Slope

- What Does Undefined Slope Mean?
- What Does the Slope of a Line Mean?
- What Does 0 Slope Mean?
- How Do You Know if Two Lines Are Perpendicular?
- What Does Positive Slope Mean?
- How Do You Find the Slope of a Line If You Have a Perpendicular Line?
- What's the Formula for Slope?
- How Do You Find the Slope of a Line from Two Points?
- How Do You Know if Two Lines are Parallel?
- What Does Negative Slope Mean?
- How Do You Find the Slope of a Line If You Have a Parallel Line?

#### Equations of Lines

- What Are Horizontal Lines?
- How Do You Put an Equation in Standard Form Into Slope-Intercept or Point-Slope Form?
- How Do You Write an Equation for a Vertical Line?
- What's Slope-Intercept Form of a Linear Equation?
- How Do You Write an Equation for a Horizontal Line?
- How Do You Graph a Line If You're Given the Slope and the Intercept?
- What Are Vertical Lines?
- How Do You Write the Equation of a Line in Slope-Intercept Form If You Have a Graph?

#### Distance and Midpoint Formulas

#### Translating Graphs