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Subject:	Mathematics
Topic:	Algebra
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Name:	Math By Fives (MathByFives)
Type:	Website

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Algebra

Video Lectures

Displaying all 98 video lectures.

I. Algebraic Expressions
Lecture 1 Play Video	Like Terms Like terms are terms with exactly the same variables raised to exactly the same powers.
Lecture 2 Play Video	Combining Like Terms Combining like terms using algebra with whole number exponents.
Lecture 3 Play Video	Simplifying Algebraic Expressions Simplify algebraic expressions involving exponents.
Lecture 4 Play Video	Translating Word Problems Translating word sentences into an algebraic equation can be a daunting task. This video breaks the process into several step to simplify the process and contains many examples.
Lecture 5 Play Video	Solving Linear Equations (Part I)
Lecture 6 Play Video	Solving Linear Equations (Part II) The second video in a two part series. This video addresses more complicated linear equations and their solutions.
II. Relations and Functions
Lecture 7 Play Video	Functions and Relations
Lecture 8 Play Video	Function Domain and Range
Lecture 9 Play Video	Functions: Notation and Connection with Linear Graphs
Lecture 10 Play Video	Graphing and Finding x and y Intercepts
Lecture 11 Play Video	Composition of Functions
Lecture 12 Play Video	Vertical Line Test
Lecture 13 Play Video	Evaluate a Function From a Graph
Lecture 14 Play Video	Find an Inverse and Check
Lecture 15 Play Video	Function Evaluation and Word Problems
III. Line Segments and Graphs
Lecture 16 Play Video	Distance Formula How do I find the distance between two points in the plane? This is the derivation of the Distance formula along with a few examples. If you want to see only the examples skip to three minutes.
Lecture 17 Play Video	Meaning of Slope
Lecture 18 Play Video	Derivation of the Slope Formula
Lecture 19 Play Video	Parallel and Perpendicular Lines and the Implications on Slope
IV. Linear Functions and Equations
Lecture 20 Play Video	Derivation of the Equation of a Line
Lecture 21 Play Video	Finding the Slope of a Line Between Two Points
Lecture 22 Play Video	Finding an Equation of a Line Using the y=mx+b Form
Lecture 23 Play Video	Graphing Equations in y=mx+b Form
Lecture 24 Play Video	Finding the Equation of a Line With a Point and a Slope
Lecture 25 Play Video	Graphing a Line Using a Point and a Slope
Lecture 26 Play Video	Checking If A Point Is A Solution To A System
Lecture 27 Play Video	Vertical and Horizontal Lines and Their Graphs
V. Linear and Non-linear Systems
Lecture 28 Play Video	Three Types of Systems There are three types of systems of linear equations in two dimensions: one solution, no solution and infinite solutions. This is a discussion of those three types.
Lecture 29 Play Video	Solving a System by Addition/Elimination (Part I) Solving a system of linear equations by the addition/elimination method. This is the first video in a series.
Lecture 30 Play Video	Solving a System by Addition/Elimination (Part II)
Lecture 31 Play Video	Solving a System by Addition/Elimination (Part III) Solving a system of equations by the addition/elimination method. This is the third video in a series.
Lecture 32 Play Video	Solving a System by Substitution (Part I) The first in a series of videos pertaining to solving a system of linear equations by substitution.
Lecture 33 Play Video	Solving a System by Substitution (Part II) Solving a linear system by substitution. This is the second video in a series.
Lecture 34 Play Video	Solving a System by Graphing
Lecture 35 Play Video	System of Three Variables An example of solving a system of three equations with three variables. Note: There is an error in this example, but the correct answer is presented at the end. A minus sign was missed.
VI. Quadratic Functions
Lecture 36 Play Video	Standard Form to Preferred Form for a Quadratic
Lecture 37 Play Video	Solving Equations in Quadratic Form Solving Equations that are in quadratic form is all about pattern recognition.
Lecture 38 Play Video	Graphing Quadratics Using Preferred Form
Lecture 39 Play Video	Derivation of the Quadratic Formula
Lecture 40 Play Video	Using The Quadratic Formula
Lecture 41 Play Video	The Quadratic Formula
Lecture 42 Play Video	The Discriminant
Lecture 43 Play Video	Complete the Square
Lecture 44 Play Video	Pythagorean Theorem Application
Lecture 45 Play Video	Derivation of the Vertex Formula
VII. Polynomials Functions
Lecture 46 Play Video	Introduction to Polynomials
Lecture 47 Play Video	Add and Subtract Polynomials
Lecture 48 Play Video	Multiplying Polynomials Multiplying polynomials: binomial on trinomial and binomial on binomial action.
Lecture 49 Play Video	Multiplying Polynomials Using Special Products
Lecture 50 Play Video	Using the General Factoring Strategy
Lecture 51 Play Video	Factoring Polynomials: Special Forms (Part I) Note: "Special" is spelt wrong.
Lecture 52 Play Video	Factoring Polynomials: Challenging Ones (Part II) Factoring the hard ones is the second in a series on factoring polynomials. The video goes beyond the basics and addresses the tough factoring problems.
Lecture 53 Play Video	Factoring Trinomials: Leading Coefficient of 1 (Part I) This is a video on factoring a trinomial with a leading coefficient of 1.
Lecture 54 Play Video	Factoring Trinomials: AC Factoring Method (Part II) An example of factoring a trinomial using the AC method.
VIII. Inequalities
Lecture 55 Play Video	Rational Inequalities Solving rational inequalities is such a useful skill in intermediate and college algebra. Then you get to see great applications of the topic when you see it again in Calculus. This video addresses three different examples and includes an in depth discussion on whether or not to include the end points.
Lecture 56 Play Video	Polynomial Inequalities
Lecture 57 Play Video	Absolute Inequalities
Lecture 58 Play Video	Systems of Inequalities
Lecture 59 Play Video	Compound Inequalities (Part I)
Lecture 60 Play Video	Compound Inequalities (Part II) The second video on solving compound inequalities.
IX. Real Numbers, Radicals, and Rational Equations
Lecture 61 Play Video	Find the Domain of a Rational Expression
Lecture 62 Play Video	Adding and Subtracting Rational Expressions
Lecture 63 Play Video	Multiplying and Dividing Rational Expressions This is the first video for multiplication and division of rational expression.
Lecture 64 Play Video	Solving Rational Equations
Lecture 65 Play Video	Complex Rational Expressions The classical approach to reducing a complex rational expression is presented in this video, multiplication by a common denominator.
Lecture 66 Play Video	Rationalizing Denominators Four examples of rationalizing denominators is given in this video. Square roots, cube roots, two terms, and conjugates are discussed.
Lecture 67 Play Video	Domain of Radical Functions The domain of a radical function can be found using inequalities.
Lecture 68 Play Video	Addition and Subtraction of Radicals
Lecture 69 Play Video	Multiplying Radicals
Lecture 70 Play Video	Product and Quotient Rule for Radicals
Lecture 71 Play Video	Solving Radical Equations (Part I) The first video in a series. This gives the basic operations for solving radical equations. The video covers topics of extraneous roots and checking the answer.
Lecture 72 Play Video	Solving Radical Equations (Part II) This is the second video in a series of two. This video discusses what to do with the more complicated radical equations.
Lecture 73 Play Video	Operations with Complex Numbers
Lecture 74 Play Video	Imaginary Numbers with Evaluation
X. Exponents
Lecture 75 Play Video	Exponents (Part I)
Lecture 76 Play Video	Exponents (Part II)
Lecture 77 Play Video	Exponent Properties
Lecture 78 Play Video	Examples of Exponents This is a collection of examples of exercising the properties of exponents over the integers.
Lecture 79 Play Video	Properties of Negative Exponents
Lecture 80 Play Video	Exponents with Integers Exponents involving integers; explanation and simplification of exponents.
Lecture 81 Play Video	Rational Exponents
Lecture 82 Play Video	Solving Exponent Equations Solving exponent equations as a skill is a necessary complement to your arsenal of algebra techniques. When do you use this skill set, when the variable component is in the exponent. There are 6 examples and a bonus problem, make sure you stick around to see an advanced application of the technique.
Lecture 83 Play Video	Graphing Exponential Functions
Lecture 84 Play Video	Square Root Property
Lecture 85 Play Video	Square Root of the Answer
Lecture 86 Play Video	Why The Absolute Value When Simplifying Roots Explanation on why the absolute value is used when evaluating an even root of a radicand to an even power.
Lecture 87 Play Video	Simplifying Roots with Higher Indexes
XI. Conics
Lecture 88 Play Video	Find the General Form for an Ellipse
Lecture 89 Play Video	Graphing The Hyperbola
Lecture 90 Play Video	Graphing the Ellipse
Lecture 91 Play Video	Graphing Circles
Lecture 92 Play Video	Determine the Form for Conics
XII. Logarithmic Functions and Series
Lecture 93 Play Video	Logarithmic Equations
Lecture 94 Play Video	Expanding Logarithms
Lecture 95 Play Video	Domain of a Logarithm
Lecture 96 Play Video	Combine Logarithms
Lecture 97 Play Video	Log Properties
Lecture 98 Play Video	Introduction to Series This is an introduction to series notation as it would be presented in an intermediate Algebra class.