Editor: INTELECOM Intelligent Telecommunications

Publication Year: 2012

Publisher: INTELECOM Learning

ISBN: 978-1-58370-120-1

Category: Mathematics & Statistics - Mathematics

Video Count:
408

Book Status:
Pending

Predicted Release Month:

Table of Contents

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

- 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?