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SAT Math
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?
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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 30°-60°-90° 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 45°-45°-90° 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