Learn Algebra The Easy Way! by Udemy
Algebra Review - Slope, Graphing Linear Equations, Exponents, Factoring, Solving Quadratic Equations, & Radicals
Course Highlights
- At the end of my course, students will be able to understand the basic fundamentals and principles of algebra.
Skills you will learn!
Curriculum
1 Topic
Introduction
9 Topics
Adding Two Numbers Using a Number Line
Subtracting Two Numbers Using a Number Line
Adding Two Large Numbers
Subtracting Two Large Numbers
Understanding The Concept of Multiplication
Understanding Division and Multiplication
Multiplying Two Large Numbers
Long Division
Basic Arithmetic Video Quiz
9 Topics
Adding and Subtracting Two Fractions
Adding and Subtracting Three Fractions
Multiplying Fractions
Dividing Fractions
Simplifying Complex Fractions
Interconverting Mixed Numbers and Improper Fractions
Converting Fractions To Decimals
Decimals to Fractions
Multiple Choice Video Quiz
8 Topics
Solving Linear Equations By Addition and Subtraction
Solving Linear Equations Using Multiplication and Division
Solving Linear Equations With Variables on Both Sides
The Distributive Property - Solving Equations With Parentheses
Solving Linear Equations With Fractions
Solving Equations With Fractions Using Cross Multiplication
Solving Linear Equations With Decimals
Free Response Video Quiz
7 Topics
PEMDAS - Addition and Subtraction
Multiplication and Division - PEMDAS
Order of Operations With Addition Subtraction Multiplication and Division
Operations With Exponents
Order of Operations With Parentheses & Exponents
Order of Operations Within Fractions
Free Response Video Quiz
12 Topics
Graphing Ordered Pairs
Graphing Linear Equations In Slope-Intercept Form
Graphing Linear Equations In Standard Form
Graphing Horizontal and Vertical Lines
Finding The Slope Between Two Points
Are The Two Lines Parallel Perpendicular or Neither?
Writing Linear Equations Given a Point and The Slope In All Three Forms
Writing Linear Equations Given Two Points
Writing Linear Equations of Parallel Lines
Writing Linear Equations of Perpendicular Lines
Graphing Linear Equations in Point-Slope Form
Multiple Choice Video Quiz
8 Topics
Graphing Linear Inequalities on a Number Line
Solving Linear Inequalities
Solving Absolute Value Equations
Solving Absolute Value Inequalities
Graphing Absolute Value Functions Using Transformations
Graphing Linear Inequalities on a X-Y Coordinate System
Graphing Systems of Linear Inequalities on a X-Y Coordinate System
Multiple Choice Video Quiz
16 Topics
Introduction to Properties of Exponents
Properties of Exponents - Basic Examples
Introduction to Negative Exponents
Negative Exponents - Basic Examples
Monomials Binomials & Trinomials
Identifying The Leading Coefficient and The Degree of a Polynomial
Identifying The Degree of a Polynomial With Multiple Variables
Adding and Subtracting Polynomials
Multiplying Two Binomials Together
Multiplying a Monomial By a Trinomial
Multiplying a Binomial By a Trinomial
Multiplying Two Trinomials Together
Dividing a Polynomial By a Monomial
Long Division: Dividing a Polynomial By a Binomial
Free Response Video Quiz 1
Free Response Video Quiz 2
10 Topics
Factoring The GCF
Factor By Grouping
Factoring Trinomials 1x^2 + Bx + C
Factoring Trinomials Ax^2 + Bx + C
Factoring Perfect Square Trinomials
Factoring Differences of Squares
Factoring Sums and Differences of Cubes
Special Challenge Problems
Solving Equations By Factoring
Free Response Video Quiz
11 Topics
Determining if an Ordered Pair is a Solution to a System of Equations
Solving Systems of Equations By Elimination
Solving Systems of Equations By Substitution
Solving Systems of Equations With Fractions
Solving Systems if Equations With Decimals
Consistent or Inconsistent Dependent or Independent Solution?
Solving Systems of Equations By Graphing
System of Equations With Three Variables
Investment Word Problems
Total Value Word Problem
Free Response Video Quiz
16 Topics
Solving Simple Quadratic Equations
Solving Quadratic Equations By Factoring
The Quadratic Formula
Reverse Factoring Difficult Quadratic Equations
Completing The Square
The Discriminant
Writing Quadratic Equations Given The Solution
Writing Quadratic Equations Given Three Points
Graphing Quadratic Functions Using Transformations
Graphing Quadratic Functions Using a Data Table
Graphing Quadratic Functions In Vertex Form
Graphing Quadratic Functions In Standard Form Using X and Y Intercepts
Standard Form to Vertex Form & Vice Versa
Maximum and Minimum Word Problem
Solving Polynomial Equations In Quadratic Form
Multiple Choice Video Quiz
16 Topics
Simplifying Rational Expressions
Multiplying Rational Expressions
Dividing Rational Expressions
Dividing Polynomials By Monomials
Dividing Polynomials By Binomials - Long Division
Adding and Subtracting Rational Expressions With Like Denominators
Adding and Subtracting Rational Expressions With Unlike Denominators
Simplifying Complex Rational Expressions
Solving Rational Equations
Graphing Rational Functions Using Transformations
Horizontal and Slant Asymptotes
Graphing Advanced Rational Functions Part 1
Graphing Advanced Rational Functions Part 2
Graphing Advanced Rational Functions Part 3
Graphing Advanced Rational Functions Part 4
Multiple Choice Video Quiz
18 Topics
Square Roots
Cube Roots
Square Roots & Absolute Value Notation
Simplifying Square Roots
Simplifying Cube Roots
Radical Notation vs Exponential Notation
Simplifying Rational Exponents
Multiplying Radical Expressions
Adding and Subtracting Radical Expressions
Distribute Foil & Expand
Rationalize The Denominator
Dividing Radical Expressions
Multiplying Radicals With Different Index Numbers
Solving Radical Equations
Graphing Radical Equations
Finding The Domain of a Radical Function
Graphing Cube Root Functions
Video Quiz
9 Topics
Graphing Imaginary Numbers
Absolute Value of Complex Numbers
Adding and Subtracting Complex Numbers
Multiplying Complex Numbers
Foil Expand and Multiply By The Conjugate
Dividing Complex Numbers
Simplifying Complex Numbers
Solving Equations With Complex Numbers
Video Quiz
20 Topics
Graphing Exponential Functions
Graphing Logarithmic Functions
Exponential Form and Logarithmic Form
Evaluating Logs Without Using a Calculator
Evaluating Logs Using The Change of Base Formula
Simplifying Using The Properties of Logarithms
Expanding a Log Into Multiple Logarithms
Condensing Multiple Logs Into a Single Logarithm
Solving Exponential Equations Without Logs
Simplifying Natural Logs With e
Solving Exponential Equations Using Logs
Solving Difficult Exponential Equations
Solving Basic Logarithmic Equations
Solving Logarithmic Equations Using Properties of Logs
Solving Difficult Logarithmic Equations
Graphing Functions With Ln and e
Compound Interest Word Problem
Population Growth Word Problem
Number of Bacteria Word Problem
Video Quiz
13 Topics
Vertical Line Test
Ordered Pairs & Functions
Evaluating Functions With a Single Variable
Evaluating Functions With Multiple Variables
Function Operations
Composite Functions
Evaluating Composite Functions
Finding The Inverse Function
How To Prove If Two Functions Are Inverses of Each Other?
Graphing Inverse Functions
Horizontal Line Test
Even and Odd Functions
Video Quiz
20 Topics
Graphing Circles In Standard Form
Graphing Circles In Non-Standard Form
Writing The Equation of a Circle In Standard Form
Introduction to Ellipses
Graphing Ellipses Centered at The Origin
Graphing Ellipses Not Centered at The Origin
Graphing Ellipses In Non-Standard Form
Writing The Equation of an Ellipse
Introduction To Hyperbolas
Graphing Hyperbolas Centered at the Origin
Graphing Hyperbolas Not Centered at the Origin
Graphing Hyperbolas In Non-Standard Form
Writing The Equations of Hyperbolas
Introduction To Parabolas
Graphing Parabolas Centered at the Origin
Graphing Parabolas Not Centered at the Origin
Graphing Parabolas In Non-Standard Form
Writing The Equation of a Parabola In Standard Form
Video Quiz #1
Video Quiz #2
24 Topics
Writing The First Four Terms of a Sequence
Recursively Defined Formulas
Finding The Indicated Term of a Sequence
Writing a General Equation of a Sequence Using Patterns
Finding The Partial Sum Given a Sequence
Calculating The Partial Sum Using Summation Notation
Rewriting a Sum Using Sigma Notation
Writing The General Equation of an Arithmetic Sequence Using a Formula
Finding The Nth Term of an Arithmetic Sequence
Writing The General Equation Given The 4th and 7th Term
Partial Sum of an Arithmetic Sequence Using a Formula
Word Problem 1 - Sum of First 200 Natural Numbers
Word Problem 2 - Sum of All Even Numbers From 2 to 100
Word Problem 3 - Total Number of Seats In an Auditorium
Finding The Common Ratio of a Geometric Series
Writing The General Equation of a Geometric Sequence
Finding The Nth Term of a Geometric Sequence
Calculating The Partial Sum of a Geometric Sequence
Finding The Sum of an Infinite Geometric Series
Arithmetic Mean vs Geometric Mean
Word Problem 4 - Population Growth
Word Problem 5 - Depreciation of Car Value
Word Problem 6 - Doubling The Amount of Money Received Each Day
Video Quiz
Learn Algebra The Easy Way!
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