GED Math: Algebra, Geometry & Arithmetic
About this Course
Study the basic operations of addition, subtraction, multiplication, and division and explore more advanced branches of mathematics through the Education Portal chapter GED Math: Algebra, Geometry & Arithmetic. Through our brief video lessons, you'll learn to graph 1 and 2variable inequalities, calculate mean and median, and measure volume. Our team of experienced, professional educators also will teach you to define zero and negative exponents, execute the Pythagorean theorem and use the FOIL method. This course can prepare you for the math portion of the new GED exam.
Category  Objectives 

Foundations and Linear Equations  Learn about the different types of numbers, parts of a graph, and linear equations. Also, take a look at intercepts, standard form, and systems of equations. 
Matrices and Absolute Value  Study how to take a determinant of a matrix, evaluate an absolute value expression, and how to graph an absolute value. 
Inequalities  Find out about inequalities, including how to graph 1 and 2variable inequalities. Additionally, learn about set notation, compound inequalities, and systems of inequalities. 
Factoring with FOIL, Graphing Parabolas and Solving Quadratics  Discover parabolas. Learn about using FOIL and the area method. 
Complex Numbers  Study imaginary numbers and learn to work with complex numbers. 
Exponents and Polynomials  Examine the five main exponent properties, how to define zero and negative exponents, how to graph cubics, quartics and quintics, how to work with polynomials, and using long and synthetic division to solve polynomial equations. 
Rational Expressions  Learn about multiplying, dividing, adding, and subtracting rational expressions. 
Exponentials and Logarithms  Study exponential functions and logarithms, including working with practice problems. 
Probability Mechanics  Find out about factorials and binomial theorem. 
Sequences and Series  Take a look at mathematical sequences, summation notation, and mathematical series. Learn to classify arithmetic and geometric sequences. 
Functions  Study functions in order to identify them. Also, take a look at transformations, domain and range in a function, inverse functions and applying function operations. 
Arithmetic  Explore the number line to learn about absolute values, addition, subtraction, multiplication, and division. Also work with exponents and finding the square root. 
Solving Math Word Problems  Learn about the vocabulary used in word problems, using multiple steps to solve a word problem and increasing your understanding of a word problem through personalization. 
Math Expressions and Formulas  Find out about parenthesis in math, the order of operations and the correct way to write math problems. 
Decimals and Fractions  Study decimals and how to add, subtract, multiply, and divide them. Learn about estimating and fractions, too. 
Ratios, Percents & Proportions  Take a look at ratios and rates, proportion, percents, and solving problems that include these things. 
Data, Statistics, and Probability  Learn about probability of independent and dependent events, calculating mean, median, mode, and range, and working with tables, schedules, bar graphs and pie charts. 
Measurement and Geometry  Study standards units of measure, the metric system, points, lines, and angles. Also learn about parallel, perpendicular, and transversal lines, the properties of shapes, the Pythagorean theorem, and how to measure volume. 
GED (General Educational Development) is a registered trademark of the GED Testing Service, which is not affiliated with Education Portal.
99% developed We are actively adding lessons to this course. You can study for exams and supplement your learning right now. For students preparing for an exam, we'll label this course 100% developed when it is ready to prepare you for the exam on its own.
Course Chapters
Basic Arithmetic
All Videos in Basic Arithmetic
 1. What Is a Number Line?
 2. Binary and NonBinary Operations
 3. How to Perform Addition: Steps & Examples
 4. How to Perform Subtraction: Steps & Examples
 5. How to Perform Multiplication: Steps & Examples
 6. How to Multiply Large Numbers: Steps and Examples
 7. How to Perform Division: Steps & Examples
 8. Performing Long Division with Large Numbers: Steps and Examples
 9. Arithmetic Calculations with Signed Numbers
 10. The Commutative Property: Definition and Examples
 11. The Associative Property: Definition and Examples
 12. The Multiplication Property of Zero: Definition & Examples
 13. How to Find the Greatest Common Factor
 14. How to Find the Least Common Multiple
 15. What Are the Different Parts of a Graph?
Decimals
All Videos in Decimals
 1. What is a Decimal Place Value?
 2. Comparing and Ordering Decimals
 3. How Zeros Are Used in Decimals
 4. How to Round Decimals
 5. Adding and Subtracting Decimals: Examples & Word Problems
 6. Multiplying and Dividing Decimals: Examples & Word Problems
 7. How to Estimate with Decimals to Solve Math Problems
Fractions
All Videos in Fractions
 1. What is a Fraction?  Definition and Types
 2. How to Raise and Reduce Fractions
 3. Relating Fractions and Decimals
 4. How to Find Least Common Denominators
 5. Comparing and Ordering Fractions
 6. Changing between Improper Fraction and Mixed Number Form
 7. How to Change Mixed Numbers to Improper Fractions
 8. How to Add and Subtract Like Fractions and Mixed Numbers
 9. How to Add and Subtract Unlike Fractions and Mixed Numbers
 10. Multiplying Fractions and Mixed Numbers
 11. Dividing Fractions and Mixed Numbers
 12. Using the Number Line to Compare Decimals, Fractions, and Whole Numbers
 13. How to Solve Complex Fractions
 14. Addition, Subtraction, Multiplication, and Division with Decimal Notation
 15. Practice with Fraction and Mixed Number Arithmetic
 16. Estimation Problems using Fractions
 17. Solving Problems using Fractions and Mixed Numbers
Percent Notation
All Videos in Percent Notation
 1. What is a Percent?  Definition & Examples
 2. Converting from Percent Notation to Decimal Notation
 3. Converting Percent Notation to Fraction Notation
 4. Changing Between Decimals and Percents
 5. Changing Between Decimals and Fractions
 6. Converting Fractional Notation to Percent Notation
 7. How to Solve Word Problems That Use Percents
Calculations, Ratios & Proportions
All Videos in Calculations, Ratios & Proportions
 1. Ratios & Rates: Definitions & Examples
 2. How to Solve Problems with Money
 3. Proportion: Definition, Application & Examples
 4. Calculations with Ratios and Proportions
 5. How to Solve Interest Problems: Steps & Examples
 6. Compounding Interest Formulas: Calculations & Examples
 7. Taxes & Discounts: Calculations & Examples
 8. How to Solve Problems with Time
 9. Distance Formulas: Calculations & Examples
Data, Statistics & Probability
All Videos in Data, Statistics & Probability
 1. Probability of Independent and Dependent Events
 2. How to Calculate Mean, Median, Mode & Range
 3. Organizing and Understanding Data with Tables & Schedules
 4. Understanding Bar Graphs and Pie Charts
 5. Reading and Interpreting Line Graphs
 6. Creating & Interpreting Scatterplots: Process & Examples
 7. What is a Histogram in Math?  Definition & Examples
 8. Using Tables and Graphs in the Real World
 9. Math Combinations: Formula and Example Problems
 10. How to Calculate a Permutation
Probability Mechanics
All Videos in Probability Mechanics
Overview of Real Numbers
All Videos in Overview of Real Numbers
Sequences and Series
All Videos in Sequences and Series
 1. What is a Mathematical Sequence?
 2. How to Find and Classify an Arithmetic Sequence
 3. Finding and Classifying Geometric Sequences
 4. Summation Notation and Mathematical Series
 5. How to Calculate an Arithmetic Series
 6. How to Calculate a Geometric Series
 7. Arithmetic and Geometric Series: Practice Problems
Exponents and Exponential Expressions
All Videos in Exponents and Exponential Expressions
 1. How to Use Exponential Notation
 2. Scientific Notation: Definition and Examples
 3. Simplifying and Solving Exponential Expressions
 4. Exponential Expressions & The Order of Operations
 5. Multiplying Exponential Expressions
 6. Dividing Exponential Expressions
 7. The Power of Zero: Simplifying Exponential Expressions
 8. Negative Exponents: Writing Powers of Fractions and Decimals
 9. Power of Powers: Simplifying Exponential Expressions
Exponentials and Logarithms
All Videos in Exponentials and Logarithms
Radical Expressions
All Videos in Radical Expressions
 1. How to Find the Square Root of a Number
 2. Estimating Square Roots
 3. Simplifying Square Roots When not a Perfect Square
 4. Radicands and Radical Expressions
 5. Evaluating Square Roots of Perfect Squares
 6. Factoring Radical Expressions
 7. Simplifying Square Roots of Powers in Radical Expressions
 8. Multiplying then Simplifying Radical Expressions
 9. Dividing Radical Expressions
 10. Simplify Square Roots of Quotients
 11. Rationalizing Denominators in Radical Expressions
 12. Addition and Subtraction Using Radical Notation
 13. Multiplying Radical Expressions with Two or More Terms
 14. Solving Radical Equations: Steps and Examples
 15. Solving Radical Equations with Two Radical Terms
Algebraic Expressions and Equations
All Videos in Algebraic Expressions and Equations
 1. Expressing Relationships as Algebraic Expressions
 2. Evaluating Simple Algebraic Expressions
 3. Combining Like Terms in Algebraic Expressions
 4. Practice Simplifying Algebraic Expressions
 5. Negative Signs and Simplifying Algebraic Expressions
 6. Defining, Translating, & Solving OneStep Equations
 7. Writing Equations with Inequalities: Open Sentences and True/False Statements
 8. Common Algebraic Equations: Linear, Quadratic, Polynomial, and More
 9. Solving Equations Using the Addition Principle
 10. Solving Equations Using the Multiplication Principle
 11. Solving Equations Using Both Addition and Multiplication Principles
 12. Collecting Like Terms On One Side of an Equation
 13. Solving Equations Containing Parentheses
 14. Translating Words to Algebraic Expressions
 15. How to Solve OneStep Algebra Equations in Word Problems
 16. How to Solve Equations with Multiple Steps
 17. How to Solve MultiStep Algebra Equations in Word Problems
 18. How to Determine When a Numerical Expression is Undefined
Functions
All Videos in Functions
 1. Functions: Identification, Notation & Practice Problems
 2. Transformations: How to Shift Graphs on a Plane
 3. What Is Domain and Range in a Function?
 4. How to Add, Subtract, Multiply and Divide Functions
 5. How to Compose Functions
 6. Inverse Functions
 7. Applying Function Operations Practice Problems
Matrices and Absolute Value
All Videos in Matrices and Absolute Value
 1. What is a Matrix?
 2. How to Take a Determinant of a Matrix
 3. What is an Absolute Value?
 4. How to Evaluate Absolute Value Expressions
 5. How to Solve an Absolute Value Equation
 6. Solving Absolute Value Practice Problems
 7. How to Graph an Absolute Value and Do Transformations
 8. Graphing Absolute Value Equations: Dilations and Reflections
Working With Inequalities
All Videos in Working With Inequalities
 1. What is an Inequality?
 2. How to Graph 1 and 2Variable Inequalities
 3. Set Notation, Compound Inequalities, and Systems of Inequalities
 4. Graphing Inequalities: Practice Problems
 5. How to Solve and Graph an Absolute Value Inequality
 6. Solving and Graphing Absolute Value Inequalities: Practice Problems
 7. Translating Math Sentences to Inequalities
Algebraic Distribution
All Videos in Algebraic Distribution
 1. Why Do We Distribute in Algebra?  Explanation & Examples
 2. Distributing First vs. Adding First: Differences & Examples
 3. Distributing Positive and Negative Signs
 4. Distributing Algebraic Expressions with Numbers and Variables
 5. Changing Negative Exponents to Fractions
 6. Working With Fractional Powers
 7. Distribution of More Than One Term in Algebra
Overview of Linear Equations
All Videos in Overview of Linear Equations
 1. What is a Linear Equation?
 2. Applying the Distributive Property to Linear Equations
 3. Linear Equations: Intercepts, Standard Form and Graphing
 4. Abstract Algebraic Examples and Going from a Graph to a Rule
 5. Graphing Undefined Slope, Zero Slope and More
 6. Graphs of Parallel and Perpendicular Lines in Linear Equations
 7. How to Write a Linear Equation
 8. What is a System of Equations?
 9. How Do I Use a System of Equations?
Factoring
All Videos in Factoring
 1. What is Factoring in Algebra?  Definition & Example
 2. How to Find the Prime Factorization of a Number
 3. Using Prime Factorizations to Find the Least Common Multiples
 4. Equivalent Expressions and Fraction Notation
 5. Factoring Out Variables: Instructions & Examples
 6. Combining Numbers and Variables When Factoring
 7. Transforming Factoring Into A Division Problem
 8. Factoring By Grouping: Steps, Verification & Examples
Properties of Polynomial Functions
All Videos in Properties of Polynomial Functions
 1. How to Graph Cubics, Quartics, Quintics and Beyond
 2. How to Add, Subtract and Multiply Polynomials
 3. How to Divide Polynomials with Long Division
 4. How to Use Synthetic Division to Divide Polynomials
 5. Dividing Polynomials with Long and Synthetic Division: Practice Problems
 6. Operations with Polynomials in Several Variables
 7. Factoring Polynomial Expressions
Quadratic Equations
All Videos in Quadratic Equations
 1. What is a Quadratic Equation?  Definition & Examples
 2. Solving Quadratics: Assigning the Greatest Common Factor and Multiplication Property of Zero
 3. How to Use the Quadratic Formula to Solve a Quadratic Equation
 4. How to Solve Quadratics That Are Not in Standard Form
 5. Solving Quadratic Inequalities Using Two Binomials
Working with Quadratic Equations
All Videos in Working with Quadratic Equations
 1. What is a Parabola?
 2. Parabolas in Standard, Intercept, and Vertex Form
 3. Multiplying Binomials Using FOIL and the Area Method
 4. Multiplying Binomials Using FOIL & the Area Method: Practice Problems
 5. How to Factor Quadratic Equations: FOIL in Reverse
 6. Factoring Quadratic Equations: Polynomial Problems with a Non1 Leading Coefficient
 7. Solving Quadratic Trinomials by Factoring
 8. How to Complete the Square
 9. Completing the Square Practice Problems
 10. How to Solve a Quadratic Equation by Factoring
Working with Rational Expressions
All Videos in Working with Rational Expressions
 1. How to Multiply and Divide Rational Expressions
 2. Multiplying and Dividing Rational Expressions: Practice Problems
 3. How to Add and Subtract Rational Expressions
 4. Practice Adding and Subtracting Rational Expressions
 5. How to Solve a Rational Equation
 6. Rational Equations: Practice Problems
 7. Division and Reciprocals of Rational Expressions
 8. Simplifying Complex Rational Expressions
 9. Solving Equations of Direct Variation
 10. Solving Equations of Inverse Variation
Measurement and the Metric System
All Videos in Measurement and the Metric System
 1. Standard Units of Measurement for Length, Weight, Time & Capacity
 2. How to Convert Standard Units of Measure
 3. How to Perform Basic Operations with Measurements
 4. The Metric System: Units and Conversion
 5. How to Convert Units in the Metric System
 6. How to Take Measurements with Scales, Meters & Gauges
 7. How to Read and Interpret Scale Drawings
Geometry Topics
All Videos in Geometry Topics
 1. Points, Lines & Angles in Geometry
 2. Types of Angles: Vertical, Corresponding, Alternate Interior & Others
 3. Parallel, Perpendicular and Transverse Lines
 4. Overview of the Basic Shapes in Geometry
 5. Properties of Shapes: Rectangles, Squares and Rhombuses
 6. Triangles: Definition and Properties
 7. Perimeter of Triangles and Rectangles
 8. Area of Triangles and Rectangles
 9. The Pythagorean Theorem: Practice and Application
 10. How to Identify Similar Triangles
 11. Applications of Similar Triangles
 12. Angles and Triangles: Practice Problems
 13. Vertical Angles & Complementary Angles: Definition & Examples
 14. Overview of Threedimensional Shapes in Geometry
 15. How to Find Surface Area of a Cube and a Rectangular Prism
 16. How to Find Surface Area of a Cylinder
 17. How to Find Surface Area of a Pyramid
 18. Volume of Prisms and Pyramids
 19. Volume of Cylinders, Cones, and Spheres
 20. Combined Figures: Perimeter, Area, and Volume
 21. Circles: Area and Circumference

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