Algebra Video Collection

Editor: INTELECOM Intelligent Telecommunications
Publication Year: 2012
Publisher: INTELECOM Learning

Single-User Purchase Price: $1000.00
Unlimited-User Purchase Price: $1500.00
ISBN: 978-1-58370-120-1
Category: Mathematics & Statistics - Mathematics
Video Count: 408
Book Status: Available
Table of Contents

A collection of short videos that cover topics and teaching tools related to Algebra.

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Table of Contents

    List of Videos
  • Review of Arithmetic Operations
  • Introduction to Variables: x + 0 = 0
  • Writing Algebraic Expressions
  • Examples of Algebraic Expressions: 'two times y' and 'two y plus 5'.
  • Word Problems Simplified by Using Algebra
  • Determining the Value of a Variable
  • Practical Algebraic Problem: Finding Total Earnings
  • Introduction to a Third Variable: RT=E
  • Does Order of Operations Matter?
  • Examples showing the Order of Operations
  • Order of Radicals and Exponents, The
  • Treating the Numerator and the Denominator as a Package
  • Using Parentheses in the Order of Operations
  • Two examples using Parentheses in Algebra
  • Multiplying Two Expressions
  • Other Examples using Parentheses in Mathematics
  • Summary of the Order of Operations and Use of Parentheses in Algebra
  • What is a Term?
  • Recognizing Terms in an Expression
  • Explanation of Like Terms
  • Exercises in Finding Like Terms
  • Adding Like Terms
  • Summary of the Addition of Like Terms
  • Adding More Complex Expressions
  • Subtracting Like Terms
  • Rules for Subtracting Algebraic Expressions
  • Practical Problem: Subtracting Boxes in a Warehouse
  • Subtraction Problem
  • Polynomials, Monomials, Binomials, Trinomials
  • Review of Multiplication
  • Practical Problem: The Area of a Garden
  • Problems Involving the Multiplication of Monomials
  • Rules for Multiplying Two Monomials
  • Problems Involving Exponents
  • Multiply a Binomial by a Monomial
  • Rules for Multiplying a Longer Expression by a Monomial and Rearranging Polynomials
  • Multiplying a Monomial by a Trinomial
  • Multiplying Two Polynomials
  • FOIL Method for Multiplying Binomials
  • Squaring Binomials
  • Commutative, Associative, and Distributive Laws, The
  • Commutative Law for Addition
  • Commutative Law for Multiplication
  • Division and Subtraction and not Commutative
  • Addition is a Binary Operation
  • Associative Law for Addition
  • Using the Commutative and Associative Laws Together
  • Associative Law for Multiplication
  • Division and Subtraction and not Associative
  • Distributive Law Demonstrated
  • Distributive Law at Work
  • Binary Operations
  • Commutative and Associative Laws
  • Distributive Law Defined
  • Solving Equations
  • Identities for Addition and Multiplication
  • Identity for Addition
  • Identify for Multiplication
  • Equation Defined
  • Solving a Basic Algebraic Equation
  • Solving an Equation by Subtracting
  • Solving an Equation by Adding
  • Solving an Equation by Multiplying
  • Additive Inverses
  • Multiplicative Inverses
  • Additive and Multiplicative Inverses
  • Identity Equation, An
  • Identities for Addition and Multiplication Defined
  • Identities for Addition and Multiplication Defined
  • Four Basic Tactics for Equations
  • Inverses Defined
  • Practical Problem: Finding the Price of Chairs
  • Solving an Equation with a Fraction
  • Solving an Equation with a Fraction Containing Different Denominators
  • Simplify first by Combining Like Terms
  • Review of Equation-Solving Strategies
  • Shortcut for Solving Equations, A
  • Multiplying Both Sides of an Equation by -1
  • Equations with a Variable and a Constant on Each Side
  • Rewriting Literal Equations
  • Another Literal Equation
  • Rewriting the Formula for Temperature Conversion
  • Strategies for Solving Equations
  • Shortcuts for Solving Equations
  • Polynomial Equations of Degree One
  • Writing an Equation for a Word Problem
  • Guidelines for Solving Word Problems
  • Practice Solving a Word Problem
  • Solving a Consecutive Number Problem
  • Using a Table to Help Solve a Word Problem
  • Practical Problem: Find the Number of Pizzas and Subs
  • Rate, Time, and Distance Problem
  • Practice Solving a Complicated Rate, Time, and Distance Problem
  • Tools for Solving Word Problems
  • Review of Guidelines for Solving Problems
  • Two Solutions to a Complicated Copy Machine Problem
  • Two Solutions to a Complicated Bakery Problem
  • Solving a Complicated Mixture Problem
  • Solving a Complicated Principal, Rate, and Interest Problem
  • Solving a Complicated Cash Register Problem
  • Review of Solving Complicated Word Problems
  • Introduction to Inequalities and Solution Sets
  • Greater Than or Equal To' and 'Less Than or Equal To'
  • Different Ways to Write the Same Inequality
  • Translating Word Problems into Inequalities
  • Practical Problem: Load Limit for a Bridge
  • Combining Two Inequalities in One Statement
  • Rules for Compound Inequalities
  • Writing Compound Inequalities
  • False Inequality, A
  • Solving Inequalities
  • Multiplying and Dividing Both Sides of an Inequality by a Negative Number
  • Solving Complex Inequalities
  • Solving Compound Inequalities
  • Practical Problem: Comparing Car Rental Costs
  • Practical Problem: Minimum and Maximum Test Scores
  • Introduction to Linear Equations with Two Variables
  • Table of Solutions for Equation with Two Variables
  • Graphic Solution for Equation with Two Variables
  • Coordinate Plane
  • Graphing Points on the Coordinate Plane
  • Changing Scales of the x and y Axes
  • Finding Coordinates from Points on the Plane
  • Graphing the Equation x + y = 10
  • Graphing the Equation F = 1.8C + 32
  • Graphing the Equation y = 3x - 1
  • Using Intercepts to Graph Linear Equations
  • Standard Form of a Linear Equation
  • Identifying Linear Equations
  • Graphing Linear Equations with One Variable
  • Finding Equations from Vertical/Horizontal Line Graphs
  • Graphing Equations that Pass Through the Origin
  • Finding Rate of Change From a Graphed Line
  • Slope Defined
  • Finding Rate From a Graphed Line
  • Slope is the Same Everywhere on a Straight Line
  • Finding Slope Examples
  • Effect of Scale on Slope
  • Slope Formula, The
  • Applying the Slope Formula to a Graph
  • Finding Slope from Two Ordered Pairs
  • Practical Problem: Find Travel Speed
  • Finding Slope and Negative Slope
  • Practical Problem: Find the Rate of Gas Pumped
  • Horizontal and Vertical Lines Have No Slope
  • Finding Slope from Equations
  • Practical Problem: Finding the Cost of a Taxi Ride
  • Identifying the Slope and y-intercept in an Equation
  • Slope-intercept Form: y = mx + b
  • Examples of Slope-intercept Equations
  • Practical Problem: The Cost of Plumbing Repairs
  • Rewriting Equations for Slope-intercept Form
  • Changing Standard Form Equations to Slope-intercept Form
  • Horizontal and Vertical Lines in Slope-intercept Form
  • Using Slope-intercept Form to Graph an Equation
  • Graphing an Equation with a Negative Slope
  • Writing a Slope-intercept Equation from a Graph
  • Practical Problem: Phone Calls With a Surcharge
  • Practical Problem in Standard and Slope-intercept Form
  • Comparing Standard and Slope-intercept Form
  • Equations Where Slope is the Same But y-intercept is Not
  • Slope-intercept Form
  • Using Slope and One Point on a Line to Write an Equation
  • Practical Problem: Furniture Salesperson Earnings
  • Using Two Points on a Line to Write an Equation
  • Examples Using Two Points to Write an Equation
  • Practical Problem: The Height of a Stack of Newspapers
  • Practical Problem: Predicting the Costs for a Business
  • Practical Problem: Predicting the Earnings for a Business
  • System of Two Equations Defined
  • System of Two Equations: A Revenue Graph and a Cost Graph
  • Solution Sets for Systems of Equations
  • Solving Systems by Graphing
  • Check Answers to Both Equations in a System
  • Solving Systems with Substitution
  • Solving Systems with Substitution Example
  • Practical Problem: Shelf Space
  • Practical Problem: Pay Rate for Shipping Clerks
  • A System with No Solution and a System with Infinite Solutions
  • Both Equations in a System Contain the Same Variable
  • Solving a System Using the Same Variable
  • Problem: The Perimeter of a Rectangle
  • Review of Solving Systems of Equations by Substitution
  • Solving Systems of Equations Using the Elimination Method by Adding
  • Examples of Solving Systems of Equations Using the Elimination Method
  • Addition Property of Equality, The
  • Rewriting Equations in Order to Use the Elimination Method
  • Practical Problem: Boat Speed and River Currents
  • Using Multiplication to Change Terms
  • Example of Using Multiplication to Change Terms
  • Solving Systems of Equations Using the Elimination Method by Subtraction
  • Using Division to Change Terms
  • Practical Problem: The Length of the Spring on a Scale
  • Deciding Between Substitution and Elimination
  • When the Elimination Method is Easiest
  • When Elimination and Substitution are Equally Convenient
  • Practical Problem: Ingredients for Small and Large Pizzas
  • Review of Techniques for Solving Systems of Equations
  • Using Multiplication to Eliminate the 'x' Variable
  • Using Multiplication to Eliminate the 'y' Variable
  • Example of Multiplying Both Equations
  • Practical Problem: Wages of an Electrician and an Apprentice
  • Using Least Common Multiples to Eliminate a Variable
  • More About Using Least Common Multiples
  • Using Elimination Twice to Solve a System
  • Solving Systems with Fractions in the Equations
  • Example of Solving Systems with Fractions
  • Practical Problem: Homes and Apartments on 100 Acres
  • Solving the Same Word Problem Using One and Two Variables
  • Solving a Word Problem Using One Variable
  • Solving a Word Problem Using Two Variables
  • Solving the Same Rate-Time-Distance Problem Using One and Two Variables
  • Solving a Rate-Time-Distance Problem Using One Variable
  • Solving a Rate-Time-Distance Problem Using Two Variables
  • Solving a Mixture Problem Using Two Variables
  • Solving a Mixture Problem Using One Variable
  • Some Problems are More Easily Solved Using One Variable
  • Some Problems are More Easily Solved Using Two Variables
  • Exponents Defined
  • Writing Expressions in Their Simplest Form
  • Multiplying Two Factors with the Same Base
  • Dividing Two Monomials with the Same Base
  • Simplifying Expressions with Negative Exponents
  • Negative Exponents in the Denominator
  • Examples of Simplifying Expressions
  • Exponent of Zero
  • Monomials with Exponents Outside of Parentheses
  • Examples of Simplifying Expressions Written in Parentheses
  • More than One Base Inside Parentheses
  • More than One Base Raised to a Negative Power
  • Fractions Raised to a Power
  • Simplifying Complex Expressions
  • Simplifying An Expression Using Many Rules
  • Dividing a Polynomial by a Monomial
  • Factoring Review
  • Factoring Polynomials - The Distributive Law
  • Factor 18x - 12y
  • Factor 14n + 35p
  • Factor 35x + 15y - 20z
  • Factoring with (-1) to Rewrite a Polynomial
  • Variables and the Greatest Common Factor
  • Factoring by Inspection
  • Factoring Problems
  • Thoroughly Check for Common Factors
  • Factor 7x2y2 + 4xy2 -8x2y
  • Factor 21a5b7 - 7a4b6c
  • Factor 10b2c4d - 6b3c4d2
  • Factor 72m3n2p5 - 48mn5p3
  • Factor 27x10y3z15 - 9x9y3x9
  • Factor: ax + 3x + 3b + 3y
  • Factor by Grouping
  • Factor: ab - 2a + 3b - 6
  • Factor: 5y2 + 6y + 5xy + 6x
  • Terms Can Be Grouped Differently
  • Factor: xy + 7x + 7y + x2
  • Factor: xy + 18 + 6y + 3x
  • Some Polynomials Cannot be Factored
  • Factor: c2 - cd + c - d
  • Factor: 3xy - 9x + 6y - 18
  • Factor: a2 - ac - ab + bc
  • Factor: ax - x - 5a + 5
  • Factor: 5c2 + 3c - 20cd - 12d
  • Factoring Binomials That Are The Difference of Two Perfect Squares
  • Factoring Perfect Square Trinomials
  • Introduction to Factoring Quadratic Trinomials
  • Factor: b2 + 9b + 20
  • Factor: a2 + 12a + 27
  • Factor: y2 + 12y + 32
  • Not All Quadratic Trinomials Can Be Factored
  • Factor: d2 - 13d + 30
  • Factor: x2 + 5x - 24
  • Standard Quadratic Trinomial Form
  • Factor: 2k2 - 18k - 72
  • Factor: 3x2 + 14x + 8
  • Factor: 8a2 + 10a + 3
  • Factor: 12x2 - 17x + 6
  • Factor: 9y2 - 15y + 4
  • Factor: 8x2 + 10x - 25
  • Factor: x2 + 5xy + 4y2
  • Factor: 3c2 - 13cd + 14d2
  • Radicals Whose Radicands are Perfect Squares
  • Square Root of a Negative Number is Not a Real Number, The
  • Square Roots of Decimal Numbers and Perfect Square Decimals
  • Approximate Square Roots
  • Practical Problem: Skid Marks and Speeding Cars
  • Simplifying Radicals Using Multiplication
  • Square Root of a Product, The
  • Simplifying a Radical by Factoring the Radicand
  • Simplifying the Square Root of Larger Numbers
  • Simplifying Radicals With Variables
  • Two Factoring Problems
  • Roots Other Than Square Roots
  • Roots of Variables
  • Changing Rational Exponent Form to Radical Notation
  • Rewriting Radical Notation Using Rational Exponent Form
  • Guidelines for Simplifying Radicals
  • Multiplying then Simplifying Two Radicals
  • Simplifying Radicals before Multiplying
  • Shortcut for Simplifying Radicals Before and After Multiplying
  • Multiplying First to Get a Perfect Square in the Radicand
  • Simplifying by Adding or Subtracting Common Radical Factors
  • Simplifying to Find a Common Radical Factor
  • Expressions That Have No Common Radical Factor
  • Two Approaches for Dividing Radicals
  • Radicand Divided by Another Radicand, A
  • Dividing a Radical by a Whole Number
  • Division with a Binomial in the Numerator
  • Examples of Division Problems with Radicals
  • Denominator of a Simplified Expression Never Has Radicals, The
  • Examples of Rationalizing the Denominator
  • Rationalizing the Denominator with Variables in the Radicand
  • Examples of Quadratic Equations
  • Graphic of Quadratic Equations
  • Parabola, The
  • Quadratic Equations Can Have Two, One, or No Solutions
  • Quadratic Equations in Standard Form
  • Solving Quadratic Equations by Factoring
  • Solve: m2 + 7m + 12 = 0
  • Solve: x2 - 8x + 16 = 0
  • Solving Equations Not Written in Standard Form
  • Practical Problem: The Path of a Golf Ball
  • Practical Problem: Expanding a Parking Lot
  • Solve: 12x2 + 7x - 10 = 0
  • Solve: 2x2 - 15x + 18 = 0
  • Solving Quadratic Equations When Both Sides are Perfect Squares
  • Practical Problem: Pricing a Product and Maximizing Profit
  • Factoring Quadratic Equations Review
  • Solving a Quadratic Equation Using the Quadratic Formula
  • Solve: 3x(x - 2) = 14
  • Solve: 9x2 - 24x = -16
  • When to Factor Instead of Using the Quadratic Formula
  • Using a Quadratic Equation to Calculate What Size Driveway Will Fit Within the Budget
  • Approximating the Value of a Solution
  • Estimating Radicals to Set a Safe Speed Limit
  • Working With the Discriminant First
  • Using the Discriminant to Calculate Income from Mug Sales
  • Rational Numbers Review
  • Rules for Working with Rational Expressions
  • Evaluating a Rational Expression
  • Evaluating a Rational Expression in which m = 4 Compared with the Same Expression in which m = -4
  • Practical Problem: Calculate the Children's Dose of a Medication
  • Practical Problem: Finding the Amount of Electrical Current
  • Simplifying Rational Expressions
  • Factoring Before Simplifying a Rational Expression
  • Rational Expressions that Equal -1
  • Multiplying Rational Expressions
  • Factoring before Multiplying Rational Expressions
  • Multiplying Three Rational Expressions
  • Dividing Rational Expressions
  • Dividing Rational Expressions: Two Practice Problems
  • Practical Problem: Finding Volume
  • Adding and Subtracting Rational Expressions
  • Subtracting Rational Expressions
  • Adding Rational Numbers with Different Denominators
  • Adding Rational Expressions with Different Denominators
  • Adding Rational Expressions: Practice Problem
  • Practical Problem: How Fast Can Two Workers Mow a Lawn?
  • Adding Rational Expressions with Complicated Denominators
  • Factoring a Denominator to Add Rational Expressions
  • Additional Problem That Requires Factoring, An
  • Subtraction Problem That Requires Factoring, A
  • Simplifying Complex Fractions
  • Practical Problem: Finding Average Speed
  • Solving Equations That Include Rational Expressions
  • Equation with Rational Expressions: Practice Problem
  • Practical Problem: Two Solutions for a Work Problem
  • Practical Problem: Two solutions for a Pool Problem
  • Practical Problem: How Long it Will Take to do Payroll
  • Equation with Binomials in the Denominators, An
  • Equation with No Solution, An
  • Using Factoring to Solve an Equation
  • Practical Problem: Finding the Speed of the Wind
  • Using the Least Common Denominator to Solve an Equation
  • Multiplying by the Least Common Denominator to Get a Quadratic Equation
  • Solving an Equation with the Least Common Denominator: Practice Problem
  • Solving an Equation with the Least Common Denominator: Another Practice Problem
  • Equation That Has No Solution, An
  • Practical Problem: Machines Working at Different Speeds
  • Practical Problem: How Much Land to Buy
  • Practical Problem: Runners' Rate of Speed
  • Introduction to Right Triangles
  • Pythagorean Theorem, The
  • Verifying Right Triangles with the Pythagorean Theorem
  • Verifying Right Triangles with the Pythagorean Theorem Practice Problem
  • Finding the Length of the Third Side of a Right Triangle
  • Common Dimensions of Right Triangles
  • Practical Problem: How Much Time is Saved
  • Practical Problem: Length of the Longest Object
  • Practical Problem: Where to Place the Braces
  • Practical Problem: Diameter of a Log
  • Practical Problem: Height of a Stack of Pipes
  • Practical Problem: Can the Truck Fit Under the Underpass?
  • Finding Distance on a Graph Using the Pythagorean Theorem and the Distance Formula
  • Using the Distance Formula to Find Distance Between Points
  • Midpoint Formula, The
  • Review of Ratios
  • Finding a Store's Inventory Ratio
  • Solving a Proportion Problem
  • Practical Problem: Gas and Oil Mixture
  • Using Proportion to Find Real Lengths from Scale Lengths
  • Variation Problems
  • Practical Problem: Threshold Weight
  • Joint Variation
  • Inverse Variation
  • Practical Problem: The Speed of Two Pulleys
  • Combining Direct, Joint, and Inverse Variation in a Problem
  • Practical Problem: The Amount of Weight a Shelf Can Hold
  • Practical Problem: How Much Weight Can One Beam Hold?