## Free Math Tutoring Videos

Below are some completely

I also recommend visiting and subscribing to

__tutoring videos to help students whether they've missed a class, don't understand a concept, or just want to review. I've attempted to order the videos for each class in the approximate order(__**free***by**chapter*) that the topics are usually covered. (There is overlap between various math classes so if you don't see a topic under your particular class heading check the other classes as well.)**ACT Math, SAT Math, PreAlgebra, Algebra 1, Geometry, Algebra 2, PreCalculus, & Calculus.**I also recommend visiting and subscribing to

**"Mario's Math Tutoring"**YouTube Channel below and using the search feature (looks like a magnifying glass on my channel page) to locate various video lessons or just go to YouTube and search your desired topic + Mario's Math Tutoring.

*(If any of the links on this page aren't active they are new videos that will be released soon.)***ACT Math **

**ACT Math**

ACT Math 21 Concepts

ACT Math 7 Important Formulas

Huge ACT Math Review Course Preview 1

Huge ACT Math Review Course Preview 2

Huge ACT Math Review Course Preview 3

ACT "Average" Problem

ACT Math LiveStreams Playlist

2016-2017 Official ACT Math Test 1 Playlist

ACT Math 7 Important Formulas

Huge ACT Math Review Course Preview 1

Huge ACT Math Review Course Preview 2

Huge ACT Math Review Course Preview 3

ACT "Average" Problem

ACT Math LiveStreams Playlist

2016-2017 Official ACT Math Test 1 Playlist

**SAT Math**

**SAT Math**

__PreAlgebra__

__PreAlgebra__

*(See Algebra for More Videos Below...there is a lot of overlap between the 2 courses)*

PREALGEBRA GIANT REVIEW

Algebra Readiness Practice and Review

Divisibility Rules for 2,3,5,6,9,10

How to Round Numbers and Decimals

Mixed Numbers Adding and Subtracting

Mixed Numbers Subtracting

GCF and LCM

Percent Change (Formula)

Percent Discount & Percent Markup

Is a Fraction Zero or Undefined?

Converting Fractions Decimals Percents

Percents Mental Math

Simple Interest (Formula)

Input Output Table Writing Rules

Unit Conversions

Dimensional Analysis (Converting Units)

Proportions

Solving Proportions 3 Methods

Solving Inequalities in One Variable and Graph

**Algebra**

**Algebra**

**Chapter 1: Expressions, Equations & Functions**Order of Operations

Translate Sentences into Equations

**Chapter 2: Properties of Real Numbers**Adding Positive & Negative #'s

Subtracting Positive & Negative #'s

Multiplying Positive & Negative #'s

Master Negative Numbers

Properties of Addition & Multiplication

Distributive Property

__Chapter 3: Solving Linear Equations__`1 Step & 2 Step Equations

Multi-Step Equations

Solving 1-step, 2-step, Multi-Step Equations

Infinitely Many Solutions or No Solution?

Percent Proportion

Percent Equation

Percent Problems

Rewriting Equations and Formulas

Literal Equations (Solving for a Variable)

**Chapter 4: Graphing Linear Equations & Functions**Evaluating Functions (Intro to Function Notation)

Is a Function Continuous or Discrete?

Graphing Lines using Intercepts

Graphing Horizontal and Vertical Lines

Slope

Direct Variation Word Problem Example

**Chapter 5: Writing Linear Equations**Slope Intercept Form of a Line

Graphing Lines in Slope Intercept Form

Write a Linear Equation Given a Table

Write a Linear Function Given a Table

Point Slope Form of a Line

Standard Form of a Line

Equation of a Line Parallel to a 2nd Line

Equation of a Perpendicular Line

Rewriting a Line from Standard Form to Slope Intercept

Line of Best Fit - Equation

Interpolation vs. Extrapolation

__Chapter 6: Solving and Graphing Linear Inequalities__Absolute Value Equations

Graphing Absolute Value Functions with Transformations

Absolute Value Equations Involving 2 Absolute Values

Solving Absolute Value Inequalities

Writing Absolute Deviation Inequalities

Solving and Graphing Inequalities in One Variable

__Chapter 7: Systems of Equations & Inequalities__Consistent Independent Dependent & Inconsistent

Solving Systems Equations - Graphing

Solving Systems Equations - Substitution

Solving Systems Equations - Elimination

System of Linear Equations Elimination with Multiplication

Systems of Linear Equations (Word Problems)

Systems of Linear Equations (Fractions & Decimals)

Infinitely Many Solutions or No Solution?

Distance Travelled - Same Direction

Distance Travelled - Opposite Directions

Distance Travelled - Roundtrip

Mixture Problem System of Equations

Word Problem Involving Linear Equations

Graphing Systems of Inequalities

__Chapter 8: Exponents and Exponential Functions__Properties of Exponents (14 Examples)

Exponent Rules

Negative Exponents

Negative Exponents More Example Problems

Multiplying Monomials

Scientific Notation

Multiplying & Dividing Scientific #'s

Graphing Exponential Functions

Graphing Exponential Functions with Transformations

Write an Exponential Equation Given a Table

Domain and Range from a Graph

What is Decay Factor, Decay Rate, Growth Factor and Growth Rate?

**Chapter 9: Polynomials & Factoring****Is a Function a Polynomial**

____Multiplying Binomials FOIL

Special Products of Binomials

Zero Product Property

Factoring Trinomials(Guess & Check)

Box Method of Factoring

Box Method of Factoring (in Under 2 minutes)

Factoring by Splitting Middle Term

Factor Perfect Square Trinomials

Factoring Difference of Two Squares

__Chapter 10: Quadratic Equations and Functions__How to Graph Quadratic Functions

Graphing Quadratics(Parabolas)

Solve Quadratic Equations by Finding Square Roots

Completing the Square

Convert a Quadratic From Standard to Vertex Form

Quadratic Formula

Using the Quadratic Formula to Solve Quadratic Equations

Discriminant

Discriminant to find Number of Solutions

Linear or NonLinear Equation from a Table

Quadratic Equation Given Quadratic Formula

Solving Quadratic Equations (5 Methods)

Solving Projectile Motion Word Problems

Writing a Cubic Function Given Zeros

__Chapter 11: Radicals & Geometry Connections__Radicals Complete Review

Graph Square Root and Cube Root Functions

Graphing Radical Functions (Table Method)

Simplifying Radicals - Easy Method

Radical Expressions - Multiplying

Rationalize the Denominator

Solve Radical Equations

Solve Radical Equations(More Challenging)

Converse of the Pythagorean Theorem

Distance Formula

Midpoint Formula

Find Endpoint Given Midpoint

__Chapter 12: Rational Equations & Functions__Inverse Variation or Direct Variation

Graph Rational Functions

Divide Polynomials

Rational Expressions Add & Subtract

Multiplying and Dividing Rational Expressions

Solve Rational Equations

Simplifying Complex Fractions

__Chapter 13: Probability & Data Analysis__Probability vs Odds

How to Use Permutations & Combinations

Probability of Compound Events

Calculating Standard Deviation

Outliers - Box and Whisker Plots

Honors Algebra 1 Final Exam Review

**Algebra 1 Final Exam Giant Review**

**Geometry**

**Geometry**

**Chapter 1: Geometry Basics**Opposite Rays

Lesson 1: Points, Lines & Planes

Midpoint Formula

Find Endpoint Given Midpoint

Distance Formula

Adjacent Angles

**Chapter 2: Reasoning & Proof**Conditional, Converse, Inverse, Contrapositive and Biconditionals

Lesson 2: Conditional statements, inductive vs. deductive

BiConditional Statements Examples

Law of Detachment & Syllogism

Beginning Proof Using Transitive Prop.

Proof Using Segment Addition Post.

Beginning Proof Using Congruent Supplements Theorem

****

Chapter 3: Parallel & Perpendicular LinesChapter 3: Parallel & Perpendicular Lines

Geometry Lesson 3

Corresponding, Alternate Interior, Exterior, and Consecutive Interior Angles

__Parallel Lines, Transversals & Angles__

****Slope

Are Lines Parallel, Perpendicular, Neither?

Equation of a Perpendicular Line

Equation of Perpendicular Line Through a Given Point

Equation of a Line Parallel to a 2nd Line

Equation of a Perpendicular Bisector of Segment

Slope Intercept Form of a Line

Standard Form of a Line

Point Along a Directed Segment

Rotate a Line 90 Degrees about x-intercept

**Chapter 4: Congruent Triangles**Geometry Lesson 4

Exterior Angle Theorem

Writing a Triangle Congruence Statement

CPCTC Congruent Triangles Proof

SAS Triangle Congruence 2 Column Proof

AAS Triangle Congruence 2 Column Proof

ASA Triangle Congruence 2 Column Proof

**Chapter 5: Relationships Within Triangles**Geometry Lesson 6

Midsegment Theorem

Angle Bisector Theorem

Triangle Inequality Example

Find Possible Lengths of 3rd Side

Indirect Proof Example

Centroid (1/3 2/3 property)

Find Circumcenter Algebraically Given 3 Points

Find Orthocenter Algebraically Given 3 Points

Incenter, Circumcenter, Centroid, & Orthocenter

**Chapter 6: Similarity**Properties of Proportions

Geometric Mean How to Find

Scale Factor - Similar Figures

Finding Scale Factor with Similar Figures

__Triangle Proportionality Theorem__

****Hinge Theorem & Converse of Hinge Theorem

**Chapter 7: Right Triangles & Trigonometry**Pythagorean Triples

Converse of the Pythagorean Theorem

Pythagorean Inequality Theorem

Leg Geometric Mean Theorem

Altitude Geometric Mean Theorem

__45-45-90 Special Right Triangles__

****30-60-90 Special Right Triangles

30-60-90 & 45-45-90 (3 Methods)

Special Right Triangles How to Solve

Trigonometry Basics

Trig Ratios (SOH CAH TOA)

Inverse Trig Functions

Solving Right Triangles

Solving Right Triangles #2

__Chapter 8: Quadrilaterals__Interior & Exterior Angles of Polygons

Interior & Exterior Angles of Polygons (Formulas)

Finding Exterior Angle in a Polygon

Finding Interior Angle in a Polygon

Polygons Finding # of Sides

Properties of Parallelograms, Rectangles, and Rhombi

__Chapter 9: Properties of Transformations__Geometry Lesson 5

Rotation & Reflection Rules

Composition of Reflections Parallel Lines

Composition of Reflections Intersecting

Rotational Symmetry

____

Chapter 10: Properties of CirclesChapter 10: Properties of Circles

Circles and Angles

Circles and Segment Lengths

Arc Length (2 Methods)

Arc Length and Area of a Sector (Using Proportions)

Area of a Segment in a Circle

Equation of a Circle

Equation of a Circle Given Endpoints of Diameter

____

**Chapter 11: Length & Area**Finding Area of Trapezoids

Area of Kites and Rhombi

Finding Arc Length Using Proportions

Finding Area of Sector using Proportions

Area of a Segment in a Circle

Area of Regular Polygons (4 Examples)

Area of Regular Polygons

Area of Regular Polygon Given Radius

Area of Regular Polygon Given Side Length

Area of Regular Polygon Given Apothem

Geometric Probability

**Chapter 12: Surface Area & Volume of Solids**Euler's Theorem

Surface Area of Prisms & Cylinders

Surface Area Cones & Pyramids

Volume of Prisms & Cylinders

Volume of an Oblique Prism or Cylinder

Volume of Cones & Pyramids

Spheres Surface Area & Volume

Hemisphere Surface Area

Surface Area & Volume Giant Review

Similar Solids - Find Volume Given Area

**Miscellaneous Topics:**Locus in a Plane Examples

__Locus in Space Examples__

****__Constructions - Copying an Angle__

******Constructions**

Constructions - Point to a Line

Constructing Perpendicular Bisector

Constructing Angle Bisector

Constructions - Drawing Parallel Lines

How to Construct an Inscribed Regular Hexagon

How to Construct an Inscribed Equilateral Triangle

How to Divide a Segment into Congruent Parts

How to Construct the Circumcenter

How to Construct the Incenter

Rotate about a Figure about a Point

**Geometry Final Exam Review 1st and 2nd Semesters**

__Midterm & Final Exam Reviews:__

Geometry Midterm Exam Giant Review

Geometry Final Exam Giant Review

**Algebra 2**

**Algebra 2**

**Algebra 2 Midterm Exam Giant Review**

**Algebra 2 Final Exam Giant Review**

**Algebra 2 Final Exam Review 2nd Semester**

**Chapter 1: Equations & Inequalities**Properties of Addition & Multiplication

Solving Multi-Step Equations

Solving Equation by Clearing the Denominator

Rewriting Formulas & Equations

Solving Absolute Value Equations

Solving Absolute Value Inequalities

Find the Sum of 3 Consecutive Even Integers

__Chapter 2: Linear Equations & Functions__Is a Relation a Function?

Vertical Line Test

Slope

Are the lines Parallel, Perpendicular or Neither?

Slope Intercept Form of a Line

Point Slope Form of a Line

Standard Form of a Line

Direct Variation

Direct or Inverse Variation?

Correlation

Line of Best Fit

Parent Function Transformations

Parent Function Transformations (Advanced)

Absolute Value Functions (How to Graph)

Graphing Absolute Value Functions (y=a|x-h|+k)

Graphing Absolute Value Inequalities

Graphing Inequalities

**Chapter 3: Linear Systems & Matrices**Solve Linear Systems by Graphing

Consistent Independent, Consistent Dependent, Inconsistent

Solve Linear Systems by Substitution

Solve Linear Systems by Elimination

Systems of Linear Equations (Word Problems)

Systems of Linear Equations (Fractions & Decimals)

Graphing Systems of Linear Inequalities

Solving Systems with 3 Equations and 3 Variables

Elimination 3 Variables 3 Equations

Elimination 3 Variables (3 Examples)

Solving a System 3 Equations (General Solution)

General Solution with 3 Equations

Introduction to Matrices

Multiplying Matrices

Determinant of a Matrix

Area of a Triangle Using Determinants

Cramer's Rule 2 x 2

Cramer's Rule 3 x 3

How to find the Inverse of a 2 x 2 Matrix

Inverse Matrices to Solve Systems

Using the Ti-84 or Ti-83 to Solve Systems

**Chapter 4: Quadratic Functions & Factoring**Graphing Parabolas in General Form

Graphing Parabolas in Vertex Form

Graphing Parabolas in Intercept Form

Graphing Parabolas Complete Guide 4 Types

Factoring Review (Playlist)

Zero Product Property

Simplifying Radicals

Rationalizing Radicals

Complex Numbers Add, Subtract, Multiply, Divide

Complex Numbers Basic Operations (19 Examples)

Absolute Value of a Complex Number

Completing the Square to Solve Equations

Solve Quadratic Equation by Completing the Square

Completing the Square (More Challenging)

Vertex Form of a Quadratic Function by Completing the Square

Convert a Quadratic from Standard to Vertex Form

Quadratic Formula

Discriminant

Vertical Motion Model Example

Maximize Area of Rectangle Given Perimeter

Graph System of Quadratic Inequalities (Example 1)

Graph System of Quadratic Inequalities (Example 2)

Solve a Quadratic Inequality Algebraically

Write a Quadratic Function in Standard Form Given 3 Points

Equation of Parabola Given 3 Points (System of Equations)

Use a Graphing Calculator(TI-84) to Find a Quadratic Equation Given 3 Points

__Chapter 5: Polynomials & Polynomial Functions__Rules of Exponents with Examples

Scientific Notation Multiply & Divide

Is a Function a Polynomial?

How to Classify Polynomials

Describing End Behavior Using Limit Notation

Graphing Polynomials Using Zeros, End Behavior, Multiplicity

Factoring Sum and Difference of 2 Cubes

Factoring Sum and Difference of Cubes

Factor by Grouping

Factoring Polynomials in Quadratic Form

Polynomial Long Division

Synthetic Division

Find Zeros Using Graphing Calc & Synthetic

Synthetic Substitution

Remainder Theorem

Rational Zero Theorem

Descartes' Rule of Signs

Finite Differences to Determine Degree

__Chapter 6: Rational Exponents & Radical Functions__Radicals Complete Review

Rational Exponents

Rules of Exponents

Simplifying Radicals

Composition of Functions

Composition of Functions (More Challenging)

Composition of Functions (More Examples)

Composition of Functions (From Graphs)

Find Inverse

Inverse Functions (Complete Guide)

Verifying Functions are Inverses

Horizontal Line Test

Graph Square Root & Cube Root Functions

Solve Radical Equations

Solve Radical Equations(More Challenging)

**Chapter 7: Exponential & Logarithmic Functions**How to Graph Exponential Functions

Exponential Growth Model Example

Compound Interest

What is Decay Factor, Decay Rate, Growth Factor, & Growth Rate?

Graphing Exponential Functions with Base e

Continuously Compounded Interest

Time to Double Compounding Continuously

Evaluating Logs

Evaluating Logarithms (Quick Method)

Graphing Logs

Graphing Logarithmic Functions with Transformations

Natural Log How to Graph

Properties of Logarithms

Expand & Condense Logs (Worksheet Available)

Logs Change of Base Formula

Solving Exponential Equations by Getting Bases Equal

Solving Exponential Equations Using Logs

Solving Exponential and Logarithmic Equations (Multiple Examples)

Exponentiating to Solve Log Equations

Solving Log Equations

One to One Property for Logs

Solving Challenging Log Equations Different Bases

Logs Everything You Need to Know

__Chapter 8: Rational Functions__Direct Variation or Inverse Variation?

Combined Variation

Rational Functions Graphing

Finding Zeros of Rational Functions

Finding Horizontal & Vertical Asymptotes of Rational Functions

Equation of Horizontal Asymptote

Holes(Removable Discontinuities) Graphing Rational Functions

Slant Asymptotes Graphing Rational Functions

Slant Asymptotes - How to Find(2 Methods)

How to Graph Rational Functions Step-by-Step 3 Examples

How to Simplify Complex Fractions

Simplifying Complex Fractions (2 Methods)

Rational Expressions Add & Subtract

Multiplying and Dividing Rational Expressions

Solving Rational Equations

Solving Rational Equations (Easier Method)

__Chapter 9: Quadratic Relations & Conic Sections__Distance Formula

Midpoint Formula

Equation of Perpendicular Bisector

Graphing Parabolas & Writing the Equation

Finding Equation of Parabola Given Focus & Vertex

Parabola Equation Given Vertex & Directrix

Equation of Parabola Given Focus & Directrix

Circle Equation

Circle Inequalities (Graphing & Writing)

Circle Equation & Completing the Square

How to Graph Ellipses and Write the Equation

Equation of Ellipse Given Vertices and Foci

How to Graph Hyperbolas & Write Equation

Which Way Does the Hyperbola Open?

Review of Graphing Conic Sections

Equation of Hyperbola Given Asymptotes & Foci

Equation of Hyperbola Given Asymptotes & Vertices

Ellipses Vs. Hyperbolas Similarities & Differences

Classifying Conics from their Equation

Solving Quadratic System Algebraically

**Chapter 10: Counting Methods & Probability**Factorial Expressions - Simplifying

Distinguishable Permutations of Letters in a Word

How to Use Permutations & Combinations

Permutations, Combinations & Probability Word Problems

Binomial Expansion Theorem

TI-84 Binomial Expansion & Pascal's Triangle

Binomial Expansion Finding Coefficient

Binomial Expansion Finding Specific Term

Fundamental Counting Principle(Multiplication Counting)

Probability Vs. Odds

Probability Examples with Cards

Probability Defective Units Example

Geometric Probability

Probability of Compound Events

Binomial Probability

__Chapter 11: Data Analysis & Statistics__How to Calculate Standard Deviation

TI84 TI83 Calculating Standard Deviation

Adding vs. Multiplying Effect on Mean & Standard Deviation

Z-Scores & Normal Distributions

__Chapter 12: Sequences & Series__Sequences and Series Introduction

Write Recursive Formulas for Sequences

Writing Summations in Sigma Notation

Arithmetic Sequence Formula

Arithmetic Sequence Formula Given 2 Terms (Easy Method)

Sum of an Arithmetic Series Formula

Write an Arithmetic Series in Summation Notation

Geometric Sequence Formula

Finite Geometric Series Formula

Sum of an Infinite Geometric Series

Bouncing Ball Distance Travelled Example

Recursive Formulas How to Write

__Chapter 13: Trigonometric Ratios & Functions__SOH CAH TOA Trig Ratios

Angle of Elevation & Depression

Coterminal Angles

Converting Degrees to Radians

Sketch an Angle in Standard Position

Draw an Angle in Radians (Standard Position)

Arc Length

Sector Area

Unit Circle

Reference Angles

Reference Angle (Formulas)

Evaluate the 6 Trigonometric Ratios of the Given Angle

Find the 6 Trig Functions Given a Point

Inverse Trig Ratios Solving For Angles

Evaluating Inverse Trigonometric Functions

Law of Sines

Law of Sines Ambiguous Case

Law of Sines SSA Ambiguous Case

Law of Sines AAS, ASA, SSA Ambiguous Case (8 Examples)

How Many Triangles are Possible? SSA

Law of Cosines

Heron's Area Formula

__Chapter 14: Trigonometric Graphs, Identities, & Equations__Graphing Sin & Cos

Graphing Tan

Graphing Sin, Cos, Tan, Cot, Csc, Sec (Complete Guide)

Simplifying Trig Identities

Trigonometric Identities

Understanding CoFunctions Identities

Understanding Even Odd Identities

Solving Trigonometric Equations

Sine or Cosine? Writing Equations

Finding a Sinusoidal Equation Given a Max and Min

Sum and Difference Formulas & Examples

Tangent Sum and Difference Formulas

Half Angle Formulas - How to Use

Half Angle Formula Positive or Negative

**PreCalculus**

**PreCalculus**

__Precalculus Quarter 1 Exam Review__

Precalculus Quarter 2 Exam Review

PreCalculus Midterm Exam ReviewPrecalculus Quarter 2 Exam Review

PreCalculus Midterm Exam Review

__Chapter 1: Functions and their Graphs__Determine the Quadrant a Point Lies Given Restrictions

Pythagorean Theorem & Pythagorean Triples

Distance Formula

Midpoint Formula

Finding x and y Intercepts

How to Test for Symmetry

Algebraic Tests for Symmetry (x-axis, y-axis, origin)

Equation of a Circle

Equation of a Circle Given Endpoints of Diameter

Slope

Slope Intercept Form

Point Slope Form of a Line

Standard Form of the Equation of a Line

Double Intercept Form of the Equation of a Line

Equation of a Line Parallel to a Given Line through a Point

Equation of a Line Perpendicular to a Given Line through a Point

Evaluating Piecewise Functions

Piecewise Functions Graphing

Graphing Piecewise Functions (2 Methods)

Domain - How to Find

Domain of a Function Given Equation (4 Examples)

Vertical Line Test

Is Y a Function of X?

Finding Zeros

Interval Notation for where Functions Increase, Decrease, Constant

TI84 TI83 Finding Relative Maximums and Minimums

Average Rate of Change of the Function

Even & Odd Functions

Even, Odd, or Neither? Graphically & Algebraically

Testing for Symmetry Versus Even or Odd

Shifting, Stretching, & Reflecting Parent Function Graphs

Transformation of Parent Functions (Advanced)

Absolute Value Functions (How to Graph)

Parent Function Transformations

Graphing Step Functions

Composition of Functions

Composition of Functions (More Challenging)

Composition of Functions (More Examples)

Find Inverse & State Domain Restriction

Horizontal Line Test

Inverse Functions (Complete Guide)

Find the Inverse of a Function Algebraically

Verifying Functions are Inverses

Line of Best Fit

Direct Variation Word Problem

__Chapter 2: Polynomial & Rational Functions__Graphing Parabolas in General Form

Graphing Parabolas in Vertex Form

Graphing Parabolas in Intercept Form

Vertex Form of a Quadratic by Completing the Square

Equation of a Quadratic in Standard Form by Completing the Square

Maximize Area of Rectangle Given Perimeter

What Ticket Price Maximizes Revenue (Quadratic Word Problem)

Leading Coefficient Test

Describing End Behavior Using Limit Notation

Intermediate Value Theorem

Volume of Open Box Made from a Rectangle with Squares Cut Out

Polynomial Long Division

Synthetic Division

Remainder Theorem

Find the Remaining Factors When Given 1 Factor (Synthetic Division)

What are Imaginary Numbers

Given One Imaginary Zero Find the Remaining Zeros

Complex Numbers Add, Subtract, Multiply, Divide

Complex Numbers Basic Operations

Rational Zero Test

Descartes' Rule of Signs

Graphing Polynomials Using Rational Zero Thm, Descartes,

Upper & Lower Bound

Finding Vertical & Horizontal Asymptotes

Graphing Rational Functions

Graphing Rational Functions (Complete Guide) w/free worksheet

Holes/Removable Discontinuities Graphing Rational Functions

Slant Asymptotes Graphing Rational Functions

How to Graph Rational Functions Step-by-Step 3 Examples

'Finding Zeros of Rational Functions

Solving Quadratic Inequalities Using Sign Analysis

Solving Rational Inequalities

__Chapter 3: Exponential & Logarithmic Functions__Graphing Exponential Functions

Graphing Exponential Functions with Base e

Compound Interest

Compounding Continuously

Half Life

Time to Double Compounding Continuously

Evaluating Logarithms

Graphing Logs

Natural Log How to Graph

Domain of Log Functions

Rewriting Logs in Exponential Form

Change of Base Formula for Logs

Expanding & Condensing Logs

Expanding & Condensing Logs(Worksheet Available)

Solving Exponential Equations Using Logs

Solving Exponential Equations

Solving Exponential and Logarithmic Equations (Multiple Examples)

Exponentiating to Solve Log Equations

Solving Challenging Log Equations Different Bases

Solving Log Equations

One to One Property of Logs

Logs Everything You Need to Know

Exponential Growth Model Example

__Chapter 4: Trigonometry__Coterminal Angles

Finding Complement & Supplement of an Angle

Converting Degrees to Radians

Arc Length

Finding Arc Length Using Proportions

Sector Area Formula

Finding Area of a Sector Using Proportions

Linear Speed & Angular Speed

Converting from Degrees to Degrees Minutes Seconds

Converting from Degrees Minutes Seconds to Degrees

Unit Circle

Understanding Even and Odd Identities

SOH CAH TOA

Trigonometric Identities Simplifying

Verifying Trig Identities

Angle of Elevation & Depression

Solving a Right Triangle

Reference Angles

Graphing Sine & Cosine

Graphing Sine & Cosine(More Challenging)

Write a Sinusoidal Equation Given Max and Min (Example 1)

Write a Sinusoidal Equation Given Max and Min (Example 2)

Graphing Tan & Cot

Graphing Tan (More Challenging)

Graphing Secant & Cosecant

Graphing Sin, Cos, Tan, Cot, Csc, Sec (Complete Guide)

Graphing Arcsin

Graphing Arccos

Graphing Arctan

Bearing Problems

Evaluating Inverse Trig Functions Using Unit Circle

__Chapter 5: Analytic Trigonometry__Trig Identities Simplifying

Verifying Trig Identities

Verifying Trig Identities Easily 14 Examples

'Understanding Even & Odd Identities

Understanding CoFunction Identities

Solving Trig Equations

Solving Multiple Angle Trig Equations

Sum & Difference Formulas

Tangent Sum and Difference Formulas

Double Angle Formulas

Half Angle Formulas

Half Angle Formulas Positive or Negative?

**Chapter 6: More Trigonometry Concepts**Law of Sines

Law of Sines Ambiguous Case

How Many Triangles are Possible?

Law of Cosines

Heron's Area Formula

Component Form of a Vector

Adding & Subtracting Vectors

Magnitude of a Vector

Direction of a Vector

Unit Vector

Dot Product of Vectors

Angle Between 2 Vectors

Absolute Value of a Complex Number

Trigonometric Form of a Complex Number

Complex Numbers Multiplying & Dividing

DeMoivre's Theorem

Finding nth Roots of a Complex Number

__Chapter 7: Systems of Equations & Inequalities__Solving a System by Substitution

Solving a System by Elimination

Solving a System by Graphing

Consistent Independent, Consistent Dependent, Inconsistent

Mixture Problem

Distance Travelled Roundtrip

Row Reduced Echelon Form

Gaussian Elimination with Back Substitution

General Solution 3 Equations

Partial Fraction Decomposition Repeated Linear Factors

Partial Fraction Decomposition Quadratic Factors

Partial Fraction Decomposition Repeated Quadratic Factors

Partial Fraction Decomposition Improper Fractions

Partial Fraction Decomposition All Types

Graphing Systems of Inequalities

Graphing Systems of Quadratic Inequalities

Linear Programming

Linear Programming (Optimizations) 2 examples

**Chapter 8: Matrices & Determinants**Gaussian Elimination with Back Substitution

Row Reduced Echelon Form

Introduction to Matrices

Matrix Multiplication

Finding the Inverse of a 2 x 2 Matrix

Using Inverse Matrices to Solve Systems of Equations

How to Find the Determinant of a Matrix

Cramer's Rule

Cramer's Rule System of 3 Equations

Area of a Triangle Using the Determinant

__Chapter 9: Sequences, Series, & Probability__Sequences and Series Introduction

Summation Notation

Arithmetic Sequences

Arithmetic Sequence Formula Given 2 Terms

Arithmetic Series

Geometric Sequence

Sum of a Finite Geometric Series

Infinite Geometric Series Sum

Writing a Recursive Formula

Write a Recursive Formula for Sequences(2 Methods)

Simplify Factorial Expressions

Mathematical Induction Examples

Finite Differences to Determine the Degree

Binomial Theorem

Binomial Expansion Find a Specific Term

Binomial Expansion Find the Coefficient

TI84 TI83 Pascal's Triangle Binomial Expansion

Fundamental Counting Principle (Multiplication Counting)

Distinguishable Permutations of Letters in a Word

How to Use Permutations & Combinations

Permutations, Combinations & Probability Word Problems

Probability vs. Odds

Probability Examples with Cards

Probability Defective Units Example

Probability of Compound Events

__Chapter 10: Topics in Analytic Geometry__Angle of Inclination of a Line

Angle Between 2 Lines Formula

Distance Between a Point and a Line (Formula)

How to Graph Parabolas and Write the Equation

Find Equation of Parabola Given Vertex & Directrix

Find Equation of Parabola Given Focus & Vertex

Find Equation of Parabola Given Focus & Directrix

Finding Tangent Line to a Parabola Using Distance Formula

How to Graph Ellipses & Write the Equation

Equation of Ellipse Given Vertices and Foci

Equation of Ellipse Given Eccentricity & Foci

Equation of Ellipse Given Eccentricity & Vertices

How to Graph Hyperbolas and Write the Equation

Equation of Hyperbola Given Asymptotes & Foci

Equation of Hyperbola Given Asymptotes & Vertices

Which Way Does the Hyperbola Open?

Ellipses vs. Hyperbolas Similarities & Differences

Classifying Conics Easily from their Equation

Eliminating the Parameter in Parametric Equations

Parametric Equations Sketching a Curve

What are Polar Coordinates?

Convert from Polar to Rectangular Coordinates

Convert from Rectangular to Polar Coordinates

Convert a Rectangular Equation to Polar Form

Convert a Polar Equation to Rectangular Form

__Chapter 11: Analytic Geometry in 3 Dimensions__Sphere Standard Equation

Plotting Points in 3 Dimensions

Distance & Midpoint in 3-Dimensions

**Chapter 12: Limits & Intro to Calculus**Finding Limits Using PreCalculus Methods

Finding Limits Given a Graph

What is a Derivative?

Difference Quotient to Find Derivative

Difference Quotient - How to Simplify (3 Types)

Tangent Line Using Difference Quotient

Finding Turning Points Using Difference Quotient

Limits at Infinity

Area of a Region Using Limits

Area Below a Curve Using RRAM

**Calculus**

**Calculus**

Finding Limits Given a Graph

Derivative Using Difference Quotient

More Difference Quotient Examples

Tangent Line Using Difference Quotient

Difference Quotient at a Point

Derivative of a Constant

Power Rule

Product Rule

Quotient Rule

Chain Rule Derivatives

Rolle's Theorem with Examples

Mean Value Theorem with Example

Related Rates - Ladder Problem

Related Rates - Cone Problem

Derivative Using Difference Quotient

More Difference Quotient Examples

Tangent Line Using Difference Quotient

Difference Quotient at a Point

Derivative of a Constant

Power Rule

Product Rule

Quotient Rule

Chain Rule Derivatives

Rolle's Theorem with Examples

Mean Value Theorem with Example

Related Rates - Ladder Problem

Related Rates - Cone Problem