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Basics
Number Basics
What's a Prime Number?
What is Place Value?
What are Positive and Negative Numbers?
What's a Rational Number?
What are Natural and Whole Numbers?
What's an Irrational Number?
How Do Different Categories of Numbers Compare To Each Other?
What is the Number Line?
What's an Integer?
What's Another Definition for Prime and Composite Numbers?
What's a Real Number?
Operations with Integers
Why Can't You Divide By 0?
How Do You Add Two Negative Numbers?
How Do You Subtract a Negative Number from a Positive Number?
How Do You Figure Out the Sign of a Product or Quotient?
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 Rewrite Subtraction as Addition?
What are the Rules for Using Absolute Values to Add Integers?
How Do You Multiply and Divide Numbers with Different Signs?
How Do You Do Long Division?
Divisibility Rules
How Do You Check if a Number is Divisible by 2, 3, 5, 6, and 10?
What Does Divisibility Mean?
How Do You Know if a Number is Divisible by 2, 3, 5, 6, or 10?
Factors and Greatest Common Factor
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 of Two Numbers Using Prime Factorization?
How Do You Find All the Factors of a Number?
How Do You Find the Greatest Common Factor of Three Numbers?
Multiples and Least Common Multiple
How Do You Find the Least Common Multiple by Listing Common Multiples?
How Do You Find the Least Common Multiple by Multiplying Common Factors?
What is a Multiple?
What is a Common Multiple and Least Common Multiple?
Absolute Value
What Does Absolute Value Mean?
How Do You Find the Absolute Value of Positive and Negative Numbers?
Fractions
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?
What's a Complex Fraction?
How Do You Compare Fractions by Finding a Common Denominator?
How Do You Divide Fractions?
How Do You Turn an Improper Fraction Into a Mixed Fraction?
What's a Mixed Number?
How Do You Add Fractions with the Same Denominator?
How Do You Multiply Fractions?
How Do You Reduce A Fraction?
How Do You Subtract Fractions with the Same Denominator?
How Do You Solve a Word Problem That Compares Two Fractions?
How Do You Subtract Fractions with Different Denominators?
How Do You Add Fractions with Different Denominators?
How Do You Compare Fractions by Converting to Decimals?
What are Equivalent Fractions?
What's a Numerator and What's A Denominator?
How Do You Simplify a Fraction Over a Whole Number?
How Do You Simplify a Fraction Over a Fraction?
How Do You Turn an Integer Into a Fraction?
Decimals
What is a Terminating Decimal?
How Do You Turn a Fraction Into a Terminating Decimal?
How Do You Turn a Repeating Decimal Into a Fraction?
How Do You Put Fractions and Decimals in Order?
How Do You Turn a Fraction Into a Repeating Decimal?
What are Trailing Zeros?
How Do You Do Long Division with Decimals?
How Do You Divide a Decimal by a Decimal?
How Do You Subtract Decimals?
How Do You Add Decimals?
What is a Repeating Decimal?
How Do You Multiply Decimals?
How Do You Turn a Terminating Decimal Into a Fraction?
Exponents
How Do You Take the Power of a Monomial?
What's the Power of a Quotient Rule?
What's the Power of a Power Rule?
How Do You Convert a Number in Exponential Form into Expanded Form?
What are Exponents?
What's the Product of Powers Rule?
What's the Power of a Product Rule?
How Do You Find the Product of Powers?
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 Find the Quotient of Powers with Variables?
What Do You Do With a Negative Exponent?
What are Rational Exponents?
How Do You Evaluate Negative Exponents?
Radicals (no negative roots)
How Do You Add Radicals with Like Radicands?
What is the Product Property of Square Roots?
How Do You Multiply Two Radicals?
How Do You Subtract Radicals with Unlike Radicands?
How Do You Rationalize a Denominator?
What is the Quotient Property of Square Roots?
How Do You Simplify Radicals Using the Product Property?
How Do You Subtract Radicals with Like Radicands?
How Do You Find the Square Root of a Fraction?
Simplifying Expressions
What are Like Terms?
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?
How Do You Simplify an Expression?
How Do You Use the Associative Property?
What is the Distributive Property?
What are the Associative Properties of Addition and Multiplication?
Advanced Arithmetic
Ratios
How Do You Know If Two Ratios are Proportional?
What's a Ratio?
How Do You Find Equivalent Ratios?
How Do You Write a Ratio From a Word Problem?
What are Equivalent Ratios?
Percentages
What is the Percent Equation?
How Do You Find Percents Mentally Using Fractions?
How Do You Solve a Word Problem Using a Percent Proportion?
How Do You Set Up a Percent Proportion from a Word Problem?
How Do You Use an Equation to Find a Whole?
How Do You Mentally Find Percents That are Powers of 10?
How Do You Turn a Percent into a Decimal?
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?
Scientific Notation
How Do You Convert From Decimal Notation to Scientific Notation?
How Do You Convert From Scientific Notation to Decimal Notation?
What's Scientific Notation?
Averages
How Do You Find the Median of a Data Set?
How Do You Find the Range of a Data Set?
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 an Average?
What is the Median of a Data Set?
What is the Mode of a Data Set?
Probability and Counting
What is an Outcome?
What is a Sample Space?
What is a Permutation?
How Do You Find the Probability of a Simple Event?
How Do You Find a Number of Permutations Using the Fundamental Counting Principle?
What is a Factorial?
What is Probability?
Sequences
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?
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?
Complex Numbers
How Do You Add Complex Numbers?
What is the Imaginary Unit i?
What is an Imaginary Number?
How Do You Multiply Complex Numbers Using FOIL?
How Do You Divide Complex Numbers Using Conjugates?
How Do You Subtract Complex Numbers?
Algebra
Evaluating Expressions
What is a Variable?
What is the Substitution Property of Equality?
What's a Coefficient?
How Do You Use the Solution from an Equation to Evaluate an Expression?
How Do You Evaluate an Algebraic Expression by Plugging In Values?
Translating Between Words and Math
How Do You Turn a Longer Verbal Phrase into an Algebraic Expression?
What Are Some Words You Can Use To Write Word Problems?
How Do You Translate a Phrase with One Variable and Number Into a Mathematical Expression?
Solving Equations
How Do You Solve a Multi-Step Equation with Fractions by Multiplying Away the Fraction?
How Do You Solve an Equation Using Addition?
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?
What are Inverse Operations?
What's the Subtraction Property of Equality?
How Do You Solve for a Variable in a Fraction Using Multiplication First?
What is a Solution to an Equation?
What is an Equation?
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?
Solving Inequalities
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?
How Do You Solve and Graph a Two-Step 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?
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 Graph an Inequality or an Infinite Set on a Number Line?
How Do You Solve an Inequality with Negative Numbers Using Division?
Solving Word Problems
How Do You Figure Out Sales Tax?
How Do You Solve a Word Problem Using a Multi-Step Equation?
How Do You Solve a Word Problem Using a Two-Step Equation with Decimals?
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 Figure Out the Price of a Marked Up Item?
How Do You Figure Out How Much Something is Marked Down?
How Do You Figure Out the Volume of a Solution Using Percents?
How Do You Solve a Word Problem with an Equation Using Multiplication?
How Do You Solve an Opposite-Direction Travel Problem?
How Do You Solve a Word Problem with an Equation Using Addition?
How Do You Use an Equation with Consecutive Numbers to Solve a Word Problem?
How Do You Solve a Word Problem with a Rational Equation?
How Do You Solve a Word Problem with an Equation Using Division?
Systems of Equations
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?
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 Solve a System of Equations Using the Substitution Method?
Operations with Polynomials
How Do You Subtract Polynomials?
What's the Grid Method of FOILing?
How Do You Add Polynomials?
What's FOIL?
How Do You Multiply Binomials Using the Distributive Property?
How Do You Multiply a Monomial by a Polynomial?
How Do You Find the Additive Inverse of a Polynomial?
How Do You Multiply Trinomials?
How Do You Multiply Binomials Using FOIL?
Factoring
How Do You Factor a Common Factor Out Of a Difference of Squares?
How Do You Know if You Have a Difference of Squares?
How Do You Factor a Polynomial Using Difference of Squares?
How Do You Factor a Polynomial by Guessing and Checking?
How Do You Factor a Polynomial Using the A-C Method?
How Do You Use a Shortcut to Factor a Perfect Square Trinomial?
How Do You Factor a Polynomial Using Sum of Cubes?
How Do You Factor the Greatest Common Factor out of a Polynomial?
How Do You Factor a Polynomial Using Difference of Cubes?
How Do You Factor a 4-Term Polynomial by Grouping?
How Do You Figure Out a Template for Factoring a Trinomial?
How Do You Factor a Trinomial?
Special Products
What's the Formula for the Square of a Difference?
What's the Formula for the Square of a Sum?
What's the Formula for the Product of a Sum and a Difference?
How Do You Use the Formula for the Product of a Sum and a Difference?
Solving Quadratic Equations
How Do You Solve a Quadratic Equation by Using the Quadratic Formula?
What is a Quadratic Equation?
What is the Standard Form of a Quadratic?
What is the Quadratic Formula?
What's the Zero Product Property?
How Do You Solve a Quadratic Equation by Factoring?
How Do You Use the Square Root Method to Solve a Quadratic Equation with Two Solutions?
Radical Equations
How Do You Solve a Radical Equation?
How Do You Solve a Radical Equation with a Binomial in the Radicand?
Rational Expressions and Equations
How Do You Multiply Two Rational Expressions?
How Do You Subtract Two Rational Expressions with the Same Denominator?
How Do You Subtract Two Rational Expressions with Different Denominators?
How Do You Divide Two Rational Expressions?
How Do You Solve a Rational Equation by LCD Multiplication?
How Do You Add Two Rational Expressions with the Same Denominator?
How Do You Simplify a Polynomial Over a Polynomial Using Opposite Binomial Factors?
What's a Rational Expression?
What's an Excluded Value?
How Do You Find the Least Common Denominator of Two Rational Expressions?
How Do You Multiply Quotients of Monomials?
How Do You Divide Two Polynomials by Factoring and Canceling?
What's the Least Common Denominator?
How Do You Divide Quotients of Monomials?
How Do You Find Excluded Values?
What's an Algebraic Fraction?
How Do You Add Two Rational Expressions with Different Denominators?
How Do You Reduce Common Factors in a Rational Expression?
How Do You Solve a Rational Equation With Binomials in the Denominator?
How Do You Solve a Rational Equation by Adding Fractions?
Functions
How Do You Find the Sum of Two Functions?
How Do You Find f(x) When the Value for x Contains Other Variables?
What is Domain?
How Do You Find f(x) If You Have a Value For x?
What is the Range of a Relation?
What is Function Notation?
What's a Function?
Logarithms
How Do You Evaluate a Logarithm?
What is a Logarithm?
How Do You Convert From Logarithmic Form to Exponential Form?
Geometry
Angles and Lines
What are Acute, Obtuse, Right, and Straight Angles?
What are Complementary Angles?
What are Perpendicular Lines?
What is a Transversal?
How Do You Find Missing Angles in a Transversal Diagram?
What are Parallel Lines?
What is an Angle?
What are the Endpoints of a Line Segment?
How Do You Use Supplementary Angles to Find a Missing Angle?
How Do You Use Complementary Angles to Find a Missing Angle?
What is a Line Segment?
What are Supplementary Angles?
What Does Congruent Mean?
What are Vertical Angles?
Triangles
What is a 45°-45°-90° Triangle?
How Do You Find the Area of a Triangle?
What is a Triangle?
What are the Legs and Hypotenuse of a Right Triangle?
What are Equilateral, Isosceles, and Scalene Triangles?
How Do You Find a Missing Hypotenuse in a 45°-45°-90° Triangle?
What are Similar Figures?
What is the Triangle Sum Theorem?
What is the Pythagorean Theorem?
What is the Formula for the Area of a Triangle?
What are Acute, Obtuse, and Right Triangles?
How Do You Find Missing Measurements of Similar Figures Using a Proportion?
What is a 30-60-90 Degree Triangle?
Why Are the Angles of Equilateral Triangles Always Equal to 60°?
How Do You Find Missing Sides in a 30°-60°-90° Triangle?
How Do You Find the Length of a Leg of a Right Triangle?
Quadrilaterals and Polygons
What is the Formula for the Area of a Parallelogram?
What is a Trapezoid?
What is a Rhombus?
What is the Formula for the Area of a Trapezoid?
How Do You Find the Sum of the Interior Angles of a Polygon?
How Do You Find the Area of a Composite Figure?
How Do You Find the Area of a Rectangle?
What is a Parallelogram?
How Do You Find the Area of a Parallelogram?
What is a Composite Figure?
What is the Formula for the Area of a Rectangle?
How Do You Find the Area of a Trapezoid?
How Do You Classify Quadrilaterals?
What is a Polygon?
What's the Formula for the Perimeter of a Rectangle?
What is a Rectangle?
What is a Square?
Solids
What is the Formula for the Surface Area of a Sphere?
What is a Prism?
What is a Cone?
What is the Formula for the Volume of a Cone?
What is the Formula for the Surface Area of a Prism?
What is the Formula for the Volume of a Cylinder?
How Do You Find the Volume of a Cylinder?
What is a Cylinder?
What is the Formula for the Volume of a Prism?
How Do You Find the Slant Height of a Cone?
What is a Sphere?
How Do You Find the Lateral and Surface Areas of a Cylinder?
What is the Formula for the Volume of a Sphere?
How Do You Find the Lateral and Surface Areas of a Rectangular Prism?
How Do You Find the Lateral and Surface Areas of a Cone?
How Do You Find the Surface Area of a Sphere?
How Do You Find the Volume of a Cone?
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 Volume of a Sphere?
Circles
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?
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 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?
Graphing and Coordinate Geometry
The Coordinate Plane
What are Quadrants in the Coordinate Plane?
What is the X-Coordinate?
What is the Origin?
What is the Y-Axis?
How Do You Plot Points in the Coordinate Plane?
Why Is It Called an Ordered Pair?
How Do You Graph Ordered Pairs in Each Quadrant?
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?
Graphing Linear Equations
What is a Linear Equation?
What Does Undefined Slope Mean?
What's Standard Form of a Linear Equation?
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?
What's the Y-Intercept?
What's the Formula for Slope?
How Do You Find the Slope of a Line from Two Points?
What's Point-Slope Form of a Linear Equation?
What's Slope-Intercept Form of a Linear Equation?
What Does Negative Slope Mean?
How Do You Know if Two Lines are Parallel?
What's the X-Intercept?
Distance and Midpoint Formulas
How Do You Find the Distance Between Two Points?
What Is the Distance Formula?
What's the Midpoint Formula?
How Do You Find the Midpoint Between Two Coordinates?
How Was the Distance Formula Derived?
Conic Sections
What is a Parabola?
What is a Circle?
Trigonometry
Right Triangle Trigonometry
What is the Sine Ratio?
How Do You Find a Missing Side of a Right Triangle Using Sine?
What is the Secant Ratio?
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 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?
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