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ACT Math
This is a list of all Virtual Nerd tutorials in ACT Math, organized by topic.
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Basics
Number Basics
- How Do Different Categories of Numbers Compare To Each Other?
- What are Natural and Whole Numbers?
- What are Positive and Negative Numbers?
- What is Place Value?
- What is the Number Line?
- What's a Prime Number?
- What's a Rational Number?
- What's a Real Number?
- What's an Integer?
- What's an Irrational Number?
- What's Another Definition for Prime and Composite Numbers?
Operations with Integers
- How Do You Add a Negative Number to a Positive Number?
- How Do You Add and Subtract a Bunch of Numbers with Different Signs?
- How Do You Add Two Negative Numbers?
- How Do You Do Long Division?
- How Do You Figure Out the Sign of a Product or Quotient?
- How Do You Multiply and Divide Numbers with Different Signs?
- How Do You Rewrite Subtraction as Addition?
- How Do You Subtract a Negative Number from a Positive Number?
- How Do You Subtract a Positive Number from a Negative Number?
- What are the Rules for Using Absolute Values to Add Integers?
- Why Can't You Divide By 0?
Divisibility Rules
Factors and Greatest Common Factor
Multiples and Least Common Multiple
Absolute Value
Fractions
- How Do You Add Fractions with Different Denominators?
- How Do You Add Fractions with the Same Denominator?
- How Do You Compare Fractions by Converting to Decimals?
- How Do You Compare Fractions by Finding a Common Denominator?
- How Do You Divide Fractions?
- How Do You Find a Common Denominator and a Least Common Denominator?
- How Do You Multiply Fractions?
- How Do You Reduce A Fraction?
- How Do You Simplify a Fraction Over a Fraction?
- How Do You Simplify a Fraction Over a Whole Number?
- How Do You Solve a Word Problem That Compares Two Fractions?
- How Do You Subtract Fractions with Different Denominators?
- How Do You Subtract Fractions with the Same Denominator?
- How Do You Turn a Mixed Fraction Into an Improper Fraction?
- How Do You Turn an Improper Fraction Into a Mixed Fraction?
- How Do You Turn an Integer Into a Fraction?
- What are Equivalent Fractions?
- What's a Complex Fraction?
- What's a Mixed Number?
- What's a Numerator and What's A Denominator?
- What's a Reciprocal?
- What's an Improper Fraction?
- What's the Reciprocal Rule of Division?
Decimals
- How Do You Add Decimals?
- How Do You Divide a Decimal by a Decimal?
- How Do You Do Long Division with Decimals?
- How Do You Multiply Decimals?
- How Do You Put Fractions and Decimals in Order?
- How Do You Subtract Decimals?
- 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 Repeating Decimal Into a Fraction?
- How Do You Turn a Terminating Decimal Into a Fraction?
- What are Trailing Zeros?
- What is a Repeating Decimal?
- What is a Terminating Decimal?
Exponents
- How Do You Convert a Number in Expanded Form into Exponential Form?
- How Do You Convert a Number in Exponential Form into Expanded Form?
- How Do You Evaluate Negative Exponents?
- How Do You Find the Product of Powers?
- How Do You Find the Quotient of Powers with Variables?
- How Do You Take the Power of a Monomial?
- What are Exponents?
- What are Rational Exponents?
- What Do You Do With a Negative Exponent?
- What Do You Do With a Zero Exponent?
- 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?
Radicals (no negative roots)
- How Do You Add Radicals with Like Radicands?
- How Do You Find the Square Root of a Fraction?
- How Do You Multiply Two Radicals?
- How Do You Rationalize a Denominator?
- How Do You Simplify Radicals Using the Product Property?
- How Do You Subtract Radicals with Like Radicands?
- How Do You Subtract Radicals with Unlike Radicands?
- What is the Product Property of Square Roots?
- What is the Quotient Property of Square Roots?
Simplifying Expressions
- How Do You Factor a Greatest Common Factor Out of an Expression?
- How Do You Simplify an Expression?
- How Do You Use the Associative Property?
- How Do You Use the Distributive Property to Simplify an Expression?
- How Do You Use the Order of Operations?
- What are Like Terms?
- What are the Associative Properties of Addition and Multiplication?
- What is the Distributive Property?
- What's the Order of Operations?
Advanced Arithmetic
Ratios
Percentages
- How Do You Figure Out a Percent of Change?
- How Do You Figure Out Whether a Percent of Change is an Increase or a Decrease?
- How Do You Find Percents Mentally Using Fractions?
- How Do You Mentally Find Percents That are Powers of 10?
- 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 Turn a Decimal into a Percent?
- How Do You Turn a Fraction Into a Percent?
- How Do You Turn a Percent into a Decimal?
- How Do You Turn a Percent Into a Fraction?
- 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?
- How Do You Use an Equation to Find a Part of a Whole?
- How Do You Use an Equation to Find a Whole?
- What is the Percent Equation?
- What's a Percent of Change?
- What's a Percent Proportion?
- What's a Percent?
Scientific Notation
Averages
Probability and Counting
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 is the Explicit Formula for the nth Term in a Geometric Sequence?
- What's a Sequence?
- What's a Term in a Sequence?
- What's an Arithmetic Sequence?
- What's the Common Difference?
Complex Numbers
Algebra
Evaluating Expressions
Translating Between Words and Math
Solving Equations
- How Do You Solve a Multi-Step Equation Using Order of Operations in Reverse?
- How Do You Solve a Multi-Step Equation Using the Distributive Property?
- How Do You Solve a Multi-Step Equation with Fractions by Multiplying Away the Fraction?
- How Do You Solve a Multi-Step Equation with Fractions Using Reverse Order of Operations and Reciprocals?
- How Do You Solve a Two-Step Equation?
- How Do You Solve an Equation Using Addition?
- How Do You Solve an Equation Using Division?
- How Do You Solve an Equation Using Multiplication?
- How Do You Solve an Equation Using Subtraction?
- How Do You Solve for a Variable in a Fraction Using Multiplication First?
- What are Inverse Operations?
- What is a Solution to an Equation?
- What is an Equation?
- What's the Addition Property of Equality?
- What's the Division Property of Equality?
- What's the Multiplication Property of Equality?
- What's the Subtraction Property of Equality?
Solving Inequalities
- How Do You Graph an Inequality or an Infinite Set on a Number Line?
- How Do You Solve an Inequality by Dividing by a Positive Number?
- How Do You Solve an Inequality Using Addition?
- How Do You Solve an Inequality Using Subtraction?
- How Do You Solve an Inequality with Negative Numbers Using Division?
- How Do You Solve an Inequality with Negative Numbers Using Multiplication?
- How Do You Solve an Inequality with Positive Numbers Using Multiplication?
- How Do You Solve and Graph a Two-Step Inequality?
- What's an Inequality?
- What's the Addition Property of Inequality?
- What's the Division Property of Inequality?
- What's the Multiplication Property of Inequality?
- What's the Subtraction Property of Inequality?
Solving Word Problems
- How Do You Figure Out How Much Something is Marked Down?
- How Do You Figure Out Sales Tax?
- How Do You Figure Out the Price of a Marked Up Item?
- How Do You Figure Out the Volume of a Solution Using Percents?
- 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 a Rational Equation?
- How Do You Solve a Word Problem with an Equation Using Addition?
- How Do You Solve a Word Problem with an Equation Using Division?
- How Do You Solve a Word Problem with an Equation Using Multiplication?
- How Do You Solve a Word Problem with an Equation Using Subtraction?
- How Do You Solve an Opposite-Direction Travel Problem?
- How Do You Use an Equation with Consecutive Numbers to Solve a Word Problem?
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 Multiplication 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?
- What's Another Way of Solving a System of Equations Using the Elimination by Multiplication Method?
Operations with Polynomials
- How Do You Add Polynomials?
- How Do You Find the Additive Inverse of a Polynomial?
- How Do You Multiply a Monomial by a Polynomial?
- How Do You Multiply Binomials Using FOIL?
- How Do You Multiply Binomials Using the Distributive Property?
- How Do You Multiply Trinomials?
- How Do You Subtract Polynomials?
- What's FOIL?
- What's the Grid Method of FOILing?
Factoring
- How Do You Factor a 4-Term Polynomial by Grouping?
- How Do You Factor a Common Factor Out Of a Difference of Squares?
- How Do You Factor a Polynomial by Guessing and Checking?
- How Do You Factor a Polynomial Using Difference of Cubes?
- How Do You Factor a Polynomial Using Difference of Squares?
- How Do You Factor a Polynomial Using Sum of Cubes?
- How Do You Factor a Polynomial Using the A-C Method?
- How Do You Factor a Trinomial?
- How Do You Factor the Greatest Common Factor out of a Polynomial?
- How Do You Figure Out a Template for Factoring a Trinomial?
- How Do You Know if You Have a Difference of Squares?
- How Do You Use a Shortcut to Factor a Perfect Square Trinomial?
Special Products
Solving Quadratic Equations
- How Do You Solve a Quadratic Equation by Factoring?
- How Do You Solve a Quadratic Equation by Using the Quadratic Formula?
- How Do You Use the Square Root Method to Solve a Quadratic Equation with Two Solutions?
- What is a Quadratic Equation?
- What is the Quadratic Formula?
- What is the Standard Form of a Quadratic?
- What's the Zero Product Property?
Radical Equations
Rational Expressions and Equations
- How Do You Add Two Rational Expressions with Different Denominators?
- How Do You Add Two Rational Expressions with the Same Denominator?
- How Do You Divide Quotients of Monomials?
- How Do You Divide Two Polynomials by Factoring and Canceling?
- How Do You Divide Two Rational Expressions?
- How Do You Find Excluded Values?
- How Do You Find the Least Common Denominator of Two Rational Expressions?
- How Do You Multiply Quotients of Monomials?
- How Do You Multiply Two Rational Expressions?
- How Do You Reduce Common Factors in a Rational Expression?
- How Do You Simplify a Polynomial Over a Polynomial Using Opposite Binomial Factors?
- How Do You Solve a Rational Equation by Adding Fractions?
- How Do You Solve a Rational Equation by LCD Multiplication?
- How Do You Solve a Rational Equation With Binomials in the Denominator?
- How Do You Subtract Two Rational Expressions with Different Denominators?
- How Do You Subtract Two Rational Expressions with the Same Denominator?
- What's a Rational Expression?
- What's an Algebraic Fraction?
- What's an Excluded Value?
- What's the Least Common Denominator?
Functions
Logarithms
Geometry
Angles and Lines
- How Do You Find Missing Angles in a Transversal Diagram?
- How Do You Use Complementary Angles to Find a Missing Angle?
- How Do You Use Supplementary Angles to Find a Missing Angle?
- What are Acute, Obtuse, Right, and Straight Angles?
- What are Complementary Angles?
- What are Parallel Lines?
- What are Perpendicular Lines?
- What are Supplementary Angles?
- What are the Endpoints of a Line Segment?
- What are Vertical Angles?
- What Does Congruent Mean?
- What is a Line Segment?
- What is a Transversal?
- What is an Angle?
Triangles
- How Do You Find a Missing Hypotenuse in a 45°-45°-90° Triangle?
- How Do You Find Missing Measurements of Similar Figures Using a Proportion?
- How Do You Find Missing Sides in a 30°-60°-90° Triangle?
- How Do You Find the Area of a Triangle?
- How Do You Find the Length of a Leg of a Right Triangle?
- What are Acute, Obtuse, and Right Triangles?
- What are Equilateral, Isosceles, and Scalene Triangles?
- What are Similar Figures?
- What are the Legs and Hypotenuse of a Right Triangle?
- What is a 30-60-90 Degree Triangle?
- What is a 45°-45°-90° Triangle?
- What is a Triangle?
- What is the Formula for the Area of a Triangle?
- What is the Pythagorean Theorem?
- What is the Triangle Sum Theorem?
- Why Are the Angles of Equilateral Triangles Always Equal to 60°?
Quadrilaterals and Polygons
- How Do You Classify Quadrilaterals?
- 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 Sum of the Interior Angles of a Polygon?
- What is a Composite Figure?
- What is a Parallelogram?
- What is a Polygon?
- What is a Rectangle?
- What is a Rhombus?
- What is a Square?
- What is a Trapezoid?
- What is the Formula for the Area of a Parallelogram?
- What is the Formula for the Area of a Rectangle?
- What is the Formula for the Area of a Trapezoid?
- What's the Formula for the Perimeter of a Rectangle?
Solids
- 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 Slant Height of a Cone?
- How Do You Find the Surface Area of a Sphere?
- 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 Sphere?
- What is a Cone?
- What is a Cylinder?
- What is a Prism?
- What is a Solid?
- What is a Sphere?
- What is the Formula for the Surface Area of a Cylinder?
- What is the Formula for the Surface Area of a Prism?
- What is the Formula for the Surface Area of a Sphere?
- What is the Formula for the Volume of a Cone?
- What is the Formula for the Volume of a Cylinder?
- What is the Formula for the Volume of a Prism?
- What is the Formula for 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 Area of a Circle if You Know the Radius?
- How Do You Find the Circumference of a Circle if You Know the Diameter?
- How Do You Find the Circumference of a Circle if You Know the Radius?
- How Do You Find the Radius of a Circle if You Know the Area?
- How Do You Find the Radius of a Circle if You Know the Circumference?
- What is a Circle?
- What is Circumference?
- What is the Formula for the Area of a Circle?
Graphing and Coordinate Geometry
The Coordinate Plane
- How Do You Graph Ordered Pairs in Each Quadrant?
- How Do You Identify Points on a Graph?
- How Do You Plot Points in the Coordinate Plane?
- What are Quadrants in the Coordinate Plane?
- What are the Coordinate Axes?
- 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?
- Why Is It Called an Ordered Pair?
Graphing Linear Equations
- How Do You Find the Slope of a Line from Two Points?
- How Do You Know if Two Lines are Parallel?
- How Do You Know if Two Lines Are Perpendicular?
- What Does 0 Slope Mean?
- What Does Negative Slope Mean?
- What Does Positive Slope Mean?
- What Does the Slope of a Line Mean?
- What Does Undefined Slope Mean?
- What is a Linear Equation?
- What's Point-Slope Form of a Linear Equation?
- What's Slope-Intercept Form of a Linear Equation?
- What's Standard Form of a Linear Equation?
- What's the Formula for Slope?
- What's the X-Intercept?
- What's the Y-Intercept?
Distance and Midpoint Formulas
Conic Sections
Trigonometry
Right Triangle Trigonometry
- How Do You Find a Missing Side of a Right Triangle Using Cosine?
- How Do You Find a Missing Side of a Right Triangle Using Sine?
- How Do You Find a Missing Side of a Right Triangle Using Tangent?
- 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 the Tangent of an Angle in a Right Triangle?
- What is the Secant Ratio?
- What is the Sine Ratio?
- What is the Tangent Ratio?