 ##### 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

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

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
• Summary of the Addition of Like Terms
• 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 Multiplication
• Division and Subtraction and not Commutative
• Addition is a Binary Operation
• 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
• 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
• 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
• 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
• 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
• Square Root of a Product, The
• Simplifying the Square Root of Larger Numbers
• 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
• Multiplying then Simplifying Two Radicals
• Shortcut for Simplifying Radicals Before and After Multiplying
• Multiplying First to Get a Perfect Square in the Radicand
• Simplifying to Find a Common Radical Factor
• Expressions That Have No Common Radical Factor
• Two Approaches for Dividing Radicals
• 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
• 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
• Solve: 3x(x - 2) = 14
• Solve: 9x2 - 24x = -16
• 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?