Series: Algebra 1 (13 Lessons)
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Algebra 1  Basic Algebra Part I 110 
Algebra 1: The 5 Basic Exponent Laws 115 
Algebra 1: Basic Algebra Part II 120 
Algebra 1: Multiplication of Polynomials 125 
Algebra 1: Long Division of A Polynomial 130 
Algebra 1: Solving Linear Equations Part I 135 
Algebra: Linear Equation Word Problems Part 1 140 
Algebra 1: Solving Linear Equations Word Probs 145 
Algebra 1 Solving Linear Inequalities in 1 Var 150 
Algebra 1: Operations With Radicals 160 
Algebra 1: Zero, Negative, Rational Exponents 165 
Algebra 1: Factoring Polynomials 170 
Algebra 1: Rational Expressions 175
About this Series
 Lessons: 13
 Total Time: 14h 16m
 Use: Watch Online
 Access Period: 180 Days
 Created At: 08/05/2009
 Last Updated At: 01/25/2014
Great value  13 Lessons! Learn Algebra from the beginning, starting with the basic language and symbols of Algebra. It will help you learn:
 polymomials, evaluating, multiplying, dividing, simplifying, distributive property, factoring
 FOIL, special products, difference of squares factors (conjugate binomials) perfect square factors
 the basics of exponents, multiplication, division, power, product & quotient, zero, negative and rational exponents
 long division of a polynomial by a binomial
 how to solve linear equations and varify
 how to solve word problems with numbers, age, coins, mixtures, distance rate and time
 to solve equations with the distributive property
 to solve word problems with areas of rectangles and squares
 radicals (roots)
 how to simplify, multiply, divide, add & subtract rational expressions
to prepare you for Algebra II
About this Author
 Teacher Sydney
 65 lessons
 Joined:
07/02/2009
Teacher Sydney is a certified teacher, B.A., B. Ed. (Math Major). She prepared a math help program consisting of 65 very comprehensive, plain and "no fluff" math video lessons.
These lessons are a convenient and easy way to get math help. Pick and choose only the lesson(s) or packages (series) that you want. There are free previews. You might look at the Transcripts for a quick review of the lesson content.
For a complete list of lessons available on MindBites (mathmadesimple.mindbites.com. To access free previews please see above or visit
MathMadeSimple.com and click on the tab
"LIST OF ALL LESSONS".
To Contact us please email mathmadesimple.com@gmail.com
Lessons Included
 Algebra 1  Basic Algebra Part I 110
 Algebra 1: The 5 Basic Exponent Laws 115
 Algebra 1: Basic Algebra Part II 120
 Algebra 1: Multiplication of Polynomials 125
 Algebra 1: Long Division of A Polynomial 130
 Algebra 1: Solving Linear Equations Part I 135
 Algebra: Linear Equation Word Problems Part 1 140
 Algebra 1: Solving Linear Equations Word Probs 145
 Algebra 1 Solving Linear Inequalities in 1 Var 150
 Algebra 1: Operations With Radicals 160
 Algebra 1: Zero, Negative, Rational Exponents 165
 Algebra 1: Factoring Polynomials 170
 Algebra 1: Rational Expressions 175
Below are the descriptions for each of the lessons included in the series:

Algebra 1  Basic Algebra Part I 110
This 56 minute basic algebra lesson is for the beginning algebra student or for anyone who has not recently studied algebra. It includes the language and symbols of algebra, (plus or minus ±, equal to =, not equal to ≠, approximately equal to, less than <, less than or equal to ≤, greater than >, greater than or equal to ≥) and introduces the polynomial. In this lesson you will be introduced to the variable “x”, learn what a term, factor, exponent and degree of a term mean and be able to:
 understand what a polynomial, binomial, trinomial, are
 evaluate a polynomial with integers (numbers)
 simplify polynomials by collecting like terms
 simplify polynomials with brackets
 simplify polynomials using the distributive property
 do application problems such as by how much does 2x^2 3x + 5 exceed 3 x^2  5x + 6This lesson contains explanations of the concepts and 27 example questions with step by step solutions plus 5 review questions with solutions.
The following lesson will help you with the fundamentals of this lesson:
 105 Rules for Integers & Absolute Value (http://www.mindbites.com/lesson/5073) 
Algebra 1: The 5 Basic Exponent Laws 115
This 50 minute basic algebra lesson teaches the first five laws of exponents. The exponents will be natural numbers { 1, 2, 3, ….} only. The zero, negative and rational exponents are covered in lesson 165 “The Zero, Negative and Rational Exponents” This lesson will explain what the base and exponent are and how to use the:
 law of multiplication for exponents
 law of division for exponents
 power of a power law for exponents
 power of a product law for exponents
 power of a quotient law for exponents
 And how to solve questions like (32a^7b^6/8a^3b^5)^3This lesson contains explanations of the concepts and 44 example questions with step by step solutions plus 5 review questions with solutions.
Lessons that will help you with the fundamentals of this lesson:
 105 Rules for Integers and Absolute Value (http://www.mindbites.com/lesson/5073)
 110 Basic Algebra Part I (http://www.mindbites.com/lesson/5060) 
Algebra 1: Basic Algebra Part II 120
This 54 minute basic algebra lesson focuses on teaching skills with monomials and simplifying polynomials and applications. This lesson will enable you to:
 evaluate Polynomials
 multiply monomials
 divide by a monomial
 simplify polynomials using the distributive property
 do application questions like subtract 3x^2(4x+8y2) from 4x^2(5x2y8)This lesson contains explanations of the concepts and 35 example questions with step by step solutions plus 6 review questions with solutions.
Lessons that will help you with the fundamentals of this lesson:
 105 Rules for Integers and Absolute Value (http://www.mindbites.com/lesson/5073)
 110 Basic Algebra Part I (http://www.mindbites.com/lesson/5060)
 115 The 5 Basic Exponent Laws (http://www.mindbites.com/lesson/5061) 
Algebra 1: Multiplication of Polynomials 125
This 56 minute basic algebra lesson focuses on multiplying different types of polynomials. You will learn how to:
 multiply a binomial times a binomial (FOIL)
 work with special products: difference of squares factors, sometimes called conjugate binomials, and perfect square factors
 multiply a trinomial times a binomial
 multiply a trinomial times a trinomial
 simplify expressions like 2(x2)(x+2) + 4(x5)^2This lesson contains explanations of the concepts and 19 example questions with step by step solutions plus 5 review questions with solutions.
Lessons that will help you with the fundamentals of this lesson:
 105 Rules for Integers and Absolute Value (http://www.mindbites.com/lesson/5073)
 110 Basic Algebra Part I (http://www.mindbites.com/lesson/5060)
 120 Basic Algebra Part II (http://www.mindbites.com/lesson/5066) 
Algebra 1: Long Division of A Polynomial 130
This 60 minute algebra 1lesson will teach you how to divide a polynomial by a binomial by using long division. It will include polynomials not written in descending degree, with missing terms in the dividend as well as the divisor and remainders with a variable. You will see the similarity to long division in arithmetic and review:
 dividend
 quotient
 divisor
 remainder
 division statement
 what to do when a power is missing in the dividend
 step by step solutions to questions like Divide (x^3 – 12 x – 20) by (x + 2)This lesson contains explanations of the concepts and 16 example questions with step by step solutions plus 4 review questions with solutions.
Lessons that will help you with the fundamentals of this lesson:
 105 Rules for Integers and Absolute Value (http://www.mindbites.com/lesson/5073)
 110 Basic Algebra Part I (http://www.mindbites.com/lesson/5060)
 120 Basic Algebra Part II (http://www.mindbites.com/lesson/5066)
 125 Multiplication of Polynomials (http://www.mindbites.com/lesson/5063) 
Algebra 1: Solving Linear Equations Part I 135
This 67 minute algebra 1 lesson will introduce you to equations by starting with the rules for solving very basic equations. It includes equations with fractions (rational equations). After this lesson you will understand:
 the degree of a linear equation
 solving equations with brackets
 solving and verifying
 solving equations with fractions like 2/3(k1) = 1/2(k+5)  2This lesson contains explanations of the concepts and 16 example questions with step by step solutions plus 4 interactive review questions with solutions.
Lessons that will help you with the fundamentals of this lesson:
 085 Fractions (http://www.mindbites.com/lesson/5074)
 105 Rules for Integers and Absolute Value (http://www.mindbites.com/lesson/5073)
 110 Basic Algebra Part I (http://www.mindbites.com/lesson/5060) 
Algebra: Linear Equation Word Problems Part 1 140
This 77 minute basic algebra lesson will introduce you to five types of word problems that are applications of linear equations. This lesson will show you first how to translate the words into algebra and then how to solve:
 number problems
 age problems (like “Kevin is 3 times as old as his nephew, Doug. Two years ago, Kevin was 5 times as old as Doug was 4 years ago. Find their present ages.”)
 coin problems
 mixture problems
 distance rate and time problemsThis lesson contains explanations of the concepts and 20 example questions with step by step solutions plus 5 review questions with solutions.
Lessons that will help you with the fundamentals of this lesson:
 085 Fractions (http://www.mindbites.com/lesson/5074)
 105 Rules for Integers and Absolute Value (http://www.mindbites.com/lesson/5073)
 110 Basic Algebra Part I (http://www.mindbites.com/lesson/5060) 
Algebra 1: Solving Linear Equations Word Probs 145
This 74 minute algebra 1 lesson follows on from 135 Solving Linear Equations Part I to help you solve more difficult linear equations. Identities and word problems on the area of rectangles are also covered. This lesson will teach you how to solve:
 equations with the distributive property
 equations with multiplication of binomials (FOIL) like this: (4m^2)  2(2m3)(4m+1) = 4
 equations with special products like the difference of squares or perfect squares
 mixture problems
 identities
 word problems involving rectangles and squaresThis lesson contains explanations of the concepts and 22 example questions with step by step solutions plus 6 review questions with solutions.
Lessons that will help you with the fundamentals of this lesson:
 085 Fractions (http://www.mindbites.com/lesson/5074)
 110 Basic Algebra Part I (http://www.mindbites.com/lesson/5060)
 125 Multiplication of Polynomials (http://www.mindbites.com/lesson/5063)
 135 Solving Linear Equations Part I (http://www.mindbites.com/lesson/5068) 
Algebra 1 Solving Linear Inequalities in 1 Var 150
This is a 62 minute Algebra 1 Math Help Lesson introducing the Linear Inequality

Algebra 1: Operations With Radicals 160
This 75 minute algebra 1 lesson deals with radicals (roots). You will learn how to simplify by adding, subtraction, multiplying and dividing radicals without the use of a calculator. You will learn:
 definitions, perfect squares and cubes, radical, radicand, index, square and other roots, mixed radical, entire radical, like radicals
 to simplify radicals
 to change mixed radicals to entire radicals
 to multiply & divide radicals
 add & subtract radicals
 to work with radicals and special products: difference of squares & perfect squares
 identities
 word problems involving rectangles and squaresThis lesson contains explanations of the concepts and 44 example questions with step by step solutions plus 5 review questions with solutions.
Lessons that will help you with the fundamentals of this lesson:
 100 All About Numbers (http://www.mindbites.com/lesson/5072)
 105 Rules for Integers and Absolute Value (http://www.mindbites.com/lesson/5073)
 125 Multiplication of Polynomials (http://www.mindbites.com/lesson/5063) 
Algebra 1: Zero, Negative, Rational Exponents 165
This 69 minute basic algebra lesson applies The 5 Basic Exponent Laws covered in Lesson 115 to the zero exponent, negative exponents and rational (fractional) exponents. This lesson covers:
 simplifying with a zero exponent
 simplifying with negative exponents
 how to change from negative to positive exponents
 simplifying fractional exponents
 changing from exponential form to radical form and radical form to exponential form
 simplify and express with positive exponents
 simplify a question like this: 81^1/2 + 9^0 – 32^3/5 + 16 ^1/4This lesson contains explanations of the concepts and 28 example questions with step by step solutions plus 6 interactive review questions with solutions.
Lessons that will help you with the fundamentals of this lesson:
 100 All About Numbers (http://www.mindbites.com/lesson/5072)
 105 Rules for Integers and Absolute Value (http://www.mindbites.com/lesson/5073)
 115 The 5 Basic Exponent Laws (http://www.mindbites.com/lesson/5061)
 160 Operations With Radicals (http://www.mindbites.com/lesson/5065) 
Algebra 1: Factoring Polynomials 170
This 82 minute basic algebra lesson explains what factoring is and teaches how to factor different types of polynomials using the three most common types of factoring:
 common factoring (find the greatest common factor (GCF)
 factoring trinomials in the form ax^2 + bx + c
 factoring as a difference of squares, questions like 81x^2 – (y + w)^2A factoring strategy is also outlined to help you with factoring.
This lesson contains explanations of the concepts and 37 example questions with step by step solutions plus 5 interactive review questions with solutions.Lessons that will help you with the fundamentals of this lesson:
 105 Rules for Integers and Absolute Value (http://www.mindbites.com/lesson/5073)
 110 Basic Algebra Part I (http://www.mindbites.com/lesson/5060)
 120 Basic Algebra Part II (http://www.mindbites.com/lesson/5066)
 125 Multiplication of Polynomials (http://www.mindbites.com/lesson/5063) 
Algebra 1: Rational Expressions 175
This 74 minute basic algebra lesson covers reducing (simplifying) rational (fractional) expressions to their lowest terms and stating any restrictions of the variables. This lesson teaches how to:
 multiply, divide, add, subtract rational expressions
 find the restrictionsSample question: Simplify and state any restrictions on the variable for: (x^2 – 2x + 3) / (x^2 – 1) ÷ ( x + 3) / (2x  4)
This lesson contains explanations of the concepts and 23 example questions with step by step solutions plus 6 interactive review questions with solutions.
Lessons that will help you with the fundamentals of this lesson:
 085 Fractions (http://www.mindbites.com/lesson/5074)
 170 Factoring Polynomials (http://www.mindbites.com/lesson/5071)
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ALTHOUGH SIDNEY IS VERY ARTICULATE IN HER LESSONS,
I FIND THAT I SHOULD BE ABLE TO ASK A QUESTION.
BUT I CAN'T AND I FIND IT VERY HARD TO UNDERSTAND
SOME OF THE DIALOGUE. BERNARD
AT FIRST THE LESSON SEEMED IDEAL BUT AS IT WENT ON AND PICKED UP SPEED, IT BECAME HARD TO FOLLOW. ALSO, IT'S FRUSTRATING THAT I HAVE QUESTIONS BUT NO ONE TO ASK.
EXPLANATIONS OFTEN WENT TO THINGS I UNDERSTOOD, BUT NOT TO WHAT I NEEDED TO KNOW.
I do not know the name of this instructor, but she is FABULOUS!! When I log onto Mindbites to listen to a sample lesson, I always listen for her voice because she is truly exceptional. Her explanations are always crystal clear and she speaks slowly so that the student can easily understand and follow what she is teaching.
Please give her name so that we can find her lessons.
All the terms and concepts of Algebra are here. Was an excellent refresher for me and would probably have made my earlier math classes go by much smoother. No frills and no fluff but it gets the job done.