Algebra I: High School
About the Course
The lessons in the Algebra I course offer a supplement to help you better understand what you learn in the classroom. Algebra plays some major and minor roles in work, play and life in general. Knowing how to figure out a 30% off sale price, how to get the best tax return, or how to measure the stats of your favorite ball players all require the use of algebra skills. This course provides easytofollow video lessons that explain how to use algebra in clear and simple terms. Check out the fun, instructional videos in this algebra course and quiz yourself on the following topics:
 Basic arithmetic and word problems
 Decimals and fractions
 Real and imaginary numbers
 Exponents, graphing and geometry
 Exponential and radical expressions
 Absolute values and inequalities
 Ratios, percentages, statistics and probability
 Linear, polynomial, binomial and quadratic equations
Our algebra instructors not only understand the importance of algebra but also realize that it's not always easy to follow or interesting to learn about. The video lessons break down chapters into bitesized and engaging components, making learning fun and appealing. After each short video lesson, you can take the corresponding quiz to see how well you understand the information.
Course Topics
Course Chapters  Objective 

Basic Arithmetic  These lessons review addition, subtraction, multiplication and division as well as covering associative property, greatest common factors, least common multiples, the use of parentheses in math, the order of operations and algebra vocabulary terms. 
Solving Math Word Problems  Learn how to break down math story problems into smaller steps, personalizing problems to make them easier to understand, and restating problems using words or images. 
Decimals and Fractions  Master adding, subtracting, multiplying and dividing decimals and fractions; convert decimals to fractions; change improper fractions to mixed numbers; and raise and reduce fractions with these video lessons. 
Percent Notation  Discover how to convert percent, decimal and fractional notations and test your skills. 
Real Numbers  Use these lessons to help you understand the different types of numbers, how to graph rational numbers, and how to find the absolute value of a real number. 
Exponents and Exponential Expression  This chapter helps you comprehend exponents, scientific notations, the power of zero, and how to multiply and divide exponential expressions. 
Radical Expressions  The lessons in this chapter cover square roots of quotients, radicands, radical equations, computing problems using radical notations, and multiplying radical expressions with two or more terms. 
Algebraic Expressions and Equations  Learn how to write arithmetic expressions, evaluate and simplify math formulas, write equations with inequalities and other common algebraic equations, solve onestep equations, use the addition and multiplication principles, and solve singlestep and multistep equations in word problems. 
Properties of Functions  This chapter discusses the basics and key terms of functions as well as how to compute functions, graph a plane, compose functions and work with inverse functions. 
Matrices and Absolute Value  These lessons teach you what a matrix is and how to take a determinant of a matrix. Other lessons discuss evaluating, solving, and graphing absolute value equations. 
Working With Inequalities  Examples and practice problems in this chapter explain how to graph 1 and 2variable inequalities, set notations, compound inequalities, and systems of inequalities as well as how to solve and graph absolute value inequalities. 
Properties of Exponents  Discover the five main exponent properties in this chapter. Also learn how to define a zero and negative exponent and how to simplify expressions with rational exponents. 
Complex and Imaginary Numbers  This chapter teaches you what an imaginary number is as well as how to add, subtract, multiply and divide complex numbers. Learn to graph a complex number on the complex plane and solve a quadratics problem with a complex number solution. 
Algebraic Distribution  In this chapter, you can learn why we distribute in algebra and the difference between distributing first and adding first. Review distributing signs, how to distribute algebraic expressions with numbers and variables, how to change negative exponents to fractions, how to distribute more than one term and how to work with fractional powers. 
Linear Equations  This chapter defines linear equations and covers distributive property application to linear equations. You can also learn about intercepts, standard form, graphing an undefined and zero slope, parallel and perpendicular lines and how to write and use a system of linear equations. 
Factoring  Learn why we factor in this chapter as well as how to find the prime factorization of a number and use it to find least common multiples. Other lessons cover using fraction notation, factoring out variables, combining numbers and variables when factoring, transforming factors into a division problem and factoring by grouping. 
Graphing and Factoring Quadratic Equations  These lessons explore tables and graphs, scatterplots, line graphs, parabola, binomials and trinomials, squares, and solving quadratic equations by factoring. 
Properties of Polynomial Functions  This chapter shows you how to graph cubics, quartics and quintics; how to add, subtract, multiply and divide polynomials; and how to use synthetic division with polynomials. 
Rational Expressions  Learn and practice adding, subtracting, multiplying and dividing rational expressions and solving rational equations. 
Cubic Equations  This chapter teaches you how to solve perfectly and imperfectly cubed equations, how to use the greatest common factor, grouping, and integers in cubic equations, how to change radical equations into linear or quadratic equations, how to square both sides of an equation twice, and how to use synthetic division. 
Quadratic Equations  These lessons teach you how to square up quadratics, solve quadratics by assigning the greatest common factor and multiplication property of zero, use the quadratic formula to solve equations, and solve quadratic inequalities using two binomials. 
Measurement and Geometry  This chapter discusses the metric system and standard units of measure, how to perform basic operations and convert measurements, and how to read and interpret scales and meters. Lessons also cover points, types of lines and angles, properties of shapes, and how to find the perimeter, area, circumference and volume of a shape. 
Calculations, Ratios, Percent & Proportions  Lessons define and provide examples of problems that include money and time, proportion and percent, compound interest, taxes and discounts, combinations and permutations, and distance formulas. 
Data, Statistics, and Probability  Learn the probability of independent and dependent events, how to calculate for a mean, median, mode and range, and organization of data with tables and schedules, as well as bar graphs and pie charts. 
WellKnown Equations  This chapter goes over some wellknown theories and equations, such as the theory of relativity, Pythagorean theorem, the value of e, Isaac Newton's formula for the force of gravity, Fermat's Last Theorem, the AbsoluteValue Inequality, and the quadratic formula. 
100% developed This course is fully developed. You can use the lessons in this course to study for exams and supplement your learning right now.
Course Chapters
 1. High School Algebra: Basic Arithmetic
 2. High School Algebra: Solving Math Word Problems
 3. High School Algebra: Decimals and Fractions
 4. High School Algebra: Percent Notation
 5. High School Algebra: Real Numbers
 6. High School Algebra: Exponents and Exponential Expressions
 7. High School Algebra: Radical Expressions
 8. High School Algebra: Algebraic Expressions and Equations
 9. High School Algebra: Properties of Functions
 10. High School Algebra: Matrices and Absolute Value
 11. High School Algebra: Working With Inequalities
 12. High School Algebra: Properties of Exponents
 13. High School Algebra: Complex and Imaginary Numbers
 14. High School Algebra: Algebraic Distribution
 15. High School Algebra: Linear Equations
 16. High School Algebra: Factoring
 17. High School Algebra: Graphing and Factoring Quadratic Equations
 18. High School Algebra: Properties of Polynomial Functions
 19. High School Algebra: Rational Expressions
 20. High School Algebra: Cubic Equations
 21. High School Algebra: Quadratic Equations
 22. High School Algebra: Measurement and Geometry
 23. High School Algebra: Calculations, Ratios, Percent & Proportions
 24. High School Algebra: Data, Statistics, and Probability
 25. High School Algebra: WellKnown Equations
High School Algebra: Basic Arithmetic
All Videos in High School Algebra: 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?
 16. Parentheses in Math: Rules & Examples
 17. Algebra Vocabulary Terms
 18. What Is The Order of Operations in Math?  Definition & Examples
High School Algebra: Solving Math Word Problems
All Videos in High School Algebra: Solving Math Word Problems
High School Algebra: Decimals and Fractions
All Videos in High School Algebra: Decimals and Fractions
 1. What is a Decimal Place Value?
 2. Comparing and Ordering Decimals
 3. Addition, Subtraction, Multiplication, and Division with Decimal Notation
 4. Adding and Subtracting Decimals: Examples & Word Problems
 5. Multiplying and Dividing Decimals: Examples & Word Problems
 6. How to Estimate with Decimals to Solve Math Problems
 7. How to Build and Reduce Fractions
 8. How to Find Least Common Denominators
 9. Comparing and Ordering Fractions
 10. Changing between Improper Fraction and Mixed Number Form
 11. How to Add and Subtract Like Fractions and Mixed Numbers
 12. How to Add and Subtract Unlike Fractions and Mixed Numbers
 13. Multiplying Fractions and Mixed Numbers
 14. Dividing Fractions and Mixed Numbers
 15. Practice with Fraction and Mixed Number Arithmetic
 16. Estimation Problems using Fractions
 17. Solving Problems using Fractions and Mixed Numbers
 18. How to Solve Complex Fractions
 19. Using the Number Line to Compare Decimals, Fractions, and Whole Numbers
 20. How to Simplify Word Problems with Fractions Using Whole Numbers
High School Algebra: Percent Notation
All Videos in High School Algebra: Percent Notation
High School Algebra: Exponents and Exponential Expressions
All Videos in High School Algebra: 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
High School Algebra: Radical Expressions
All Videos in High School Algebra: 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. Simplifying Expressions Containing Square Roots
 5. Radicands and Radical Expressions
 6. Evaluating Square Roots of Perfect Squares
 7. Factoring Radical Expressions
 8. Simplifying Square Roots of Powers in Radical Expressions
 9. Multiplying then Simplifying Radical Expressions
 10. Dividing Radical Expressions
 11. Simplify Square Roots of Quotients
 12. Rationalizing Denominators in Radical Expressions
 13. Addition and Subtraction Using Radical Notation
 14. Multiplying Radical Expressions with Two or More Terms
 15. Solving Radical Equations: Steps and Examples
 16. Solving Radical Equations with Two Radical Terms
High School Algebra: Algebraic Expressions and Equations
All Videos in High School Algebra: Algebraic Expressions and Equations
 1. What is the Correct Setup to Solve Math Problems?: Writing Arithmetic Expressions
 2. Understanding and Evaluating Math Formulas
 3. Expressing Relationships as Algebraic Expressions
 4. Evaluating Simple Algebraic Expressions
 5. Combining Like Terms in Algebraic Expressions
 6. Practice Simplifying Algebraic Expressions
 7. Negative Signs and Simplifying Algebraic Expressions
 8. Writing Equations with Inequalities: Open Sentences and True/False Statements
 9. Common Algebraic Equations: Linear, Quadratic, Polynomial, and More
 10. Defining, Translating, & Solving OneStep Equations
 11. Solving Equations Using the Addition Principle
 12. Solving Equations Using the Multiplication Principle
 13. Solving Equations Using Both Addition and Multiplication Principles
 14. Collecting Like Terms On One Side of an Equation
 15. Solving Equations Containing Parentheses
 16. Solving Equations with Infinite Solutions or No Solutions
 17. Translating Words to Algebraic Expressions
 18. How to Solve OneStep Algebra Equations in Word Problems
 19. How to Solve Equations with Multiple Steps
 20. How to Solve MultiStep Algebra Equations in Word Problems
High School Algebra: Properties of Functions
All Videos in High School Algebra: Properties of Functions
High School Algebra: Matrices and Absolute Value
All Videos in High School Algebra: 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
High School Algebra: Working With Inequalities
All Videos in High School Algebra: 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
High School Algebra: Properties of Exponents
All Videos in High School Algebra: Properties of Exponents
High School Algebra: Complex and Imaginary Numbers
All Videos in High School Algebra: Complex and Imaginary Numbers
High School Algebra: Algebraic Distribution
All Videos in High School Algebra: 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
High School Algebra: Linear Equations
All Videos in High School Algebra: 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. Parallel, Perpendicular and Transverse Lines
 7. Graphs of Parallel and Perpendicular Lines in Linear Equations
 8. How to Write a Linear Equation
 9. What is a System of Equations?
 10. How Do I Use a System of Equations?
High School Algebra: Factoring
All Videos in High School Algebra: 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. Using Fraction Notation: Addition, Subtraction, Multiplication & Division
 6. Factoring Out Variables: Instructions & Examples
 7. Combining Numbers and Variables When Factoring
 8. Transforming Factoring Into A Division Problem
 9. Factoring By Grouping: Steps, Verification & Examples
High School Algebra: Graphing and Factoring Quadratic Equations
All Videos in High School Algebra: Graphing and Factoring Quadratic Equations
 1. Using Tables and Graphs in the Real World
 2. Scatterplots and Line Graphs: Definitions and Uses
 3. What is a Parabola?
 4. Parabolas in Standard, Intercept, and Vertex Form
 5. Multiplying Binomials Using FOIL and the Area Method
 6. Multiplying Binomials Using FOIL & the Area Method: Practice Problems
 7. How to Factor Quadratic Equations: FOIL in Reverse
 8. Factoring Quadratic Equations: Polynomial Problems with a Non1 Leading Coefficient
 9. Solving Quadratic Trinomials by Factoring
 10. How to Complete the Square
 11. Completing the Square Practice Problems
 12. How to Solve a Quadratic Equation by Factoring
High School Algebra: Properties of Polynomial Functions
All Videos in High School Algebra: 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
High School Algebra: Rational Expressions
All Videos in High School Algebra: 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 Radical Expressions
 8. Simplifying Complex Rational Expressions
 9. Solving Equations of Direct Variation
 10. Solving Equations of Inverse Variation
High School Algebra: Cubic Equations
All Videos in High School Algebra: Cubic Equations
 1. What is a Cubic Equation?  Definition & Examples
 2. How to Solve Perfectly Cubed Equations
 3. How to Solve Equations that are Not Perfectly Cubed
 4. Using the Greatest Common Factor to Solve Cubic Equations
 5. Grouping to Factor Cubic Equations
 6. Solving Cubic Equations with Integers
 7. Changing Radical Equations into Linear or Quadratic Equations
 8. Squaring Both Sides of an Equation Twice
High School Algebra: Quadratic Equations
All Videos in High School Algebra: 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
High School Algebra: Measurement and Geometry
All Videos in High School Algebra: Measurement and Geometry
 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. What is the Metric System?
 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
 8. Points, Lines & Angles in Geometry
 9. Types of Angles: Vertical, Corresponding, Alternate Interior & Others
 10. Overview of the Basic Shapes in Geometry
 11. Properties of Shapes: Rectangles, Squares and Rhombuses
 12. Properties of Shapes: Triangles
 13. Perimeter of Triangles and Rectangles
 14. Area of Triangles and Rectangles
 15. Circles: Area and Circumference
 16. The Pythagorean Theorem: Practice and Application
 17. How to Identify Similar Triangles
 18. Applications of Similar Triangles
 19. Angles and Triangles: Practice Problems
 20. Vertical Angles & Complementary Angles: Definition & Examples
 21. Overview of Threedimensional Shapes in Geometry
 22. How to Calculate the Volumes of Basic Shapes
 23. Volume of Cylinders, Cones, and Spheres
 24. Volume of Prisms and Pyramids
High School Algebra: Calculations, Ratios, Percent & Proportions
All Videos in High School Algebra: Calculations, Ratios, Percent & 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. Percents: Definition, Application & Examples
 6. How to Solve Word Problems That Use Percents
 7. How to Solve Interest Problems: Steps & Examples
 8. Compounding Interest Formulas: Calculations & Examples
 9. Taxes & Discounts: Calculations & Examples
 10. Math Combinations: Formula and Example Problems
 11. How to Calculate a Permutation
 12. How to Solve Problems with Time
 13. Distance Formulas: Calculations & Examples
High School Algebra: Data, Statistics, and Probability
All Videos in High School Algebra: Data, Statistics, and Probability
High School Algebra: WellKnown Equations
All Videos in High School Algebra: WellKnown Equations
 1. Theory of Relativity: Definition & Example
 2. Pythagorean Theorem: Definition & Example
 3. The Value of e: Definition & Example
 4. Diameter and Circumference Related with Pi
 5. Isaac Newton's Formula for the Force of Gravity: Definition & Example
 6. Euler's Identity: Definition & Example
 7. Fermat's Last Theorem: Definition & Example
 8. Calculating Monthly Loan Payments
 9. The AbsoluteValue Inequality: Definition & Example
 10. The Quadratic Formula: Definition & Example

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