Series: Algebra I

Basic Algebra:Solving Linear Equations Pt. 1 #135

11/09/2010

~ Marsha3

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.

Straight forward review

09/23/2009

~ jfilip

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.

Below are the descriptions for each of the lessons included in the series:

• Algebra: 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 + 6

  This lesson contains explanations of the concepts and 27 example questions with step by step solutions plus 5 interactive 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: 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)^3

  This lesson contains explanations of the concepts and 44 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)

• Basic Algebra: 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+8y-2) from 4x^2(5x-2y-8)

  This lesson contains explanations of the concepts and 35 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:
  - 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: 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(x-2)(x+2) + 4(x-5)^2

  This lesson contains explanations of the concepts and 19 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)

• Algebra: Polynomial Long Division 130

  This 60 minute basic algebra lesson 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 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)

• Basic Algebra: Solving Linear Equations Pt I 135

  This 67 minute basic algebra 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(k-1) = 1/2(k+5) - 2

  This 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 problems

  This lesson contains explanations of the concepts and 20 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:
  - 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)

• Solving Linear Equations Part II Word Problems 145

  This 74 minute basic algebra 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(2m-3)(4m+1) = -4
  - equations with special products like the difference of squares or perfect squares
  - mixture problems
  - identities
  - word problems involving rectangles and squares

  This lesson contains explanations of the concepts and 22 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)
  - 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: Operations With Radicals 160

  This 75 minute basic algebra 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 squares

  This lesson contains explanations of the concepts and 44 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:
  - 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)

• Basic Algebra: 0, 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 ^-1/4

  This 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)

• Basic Algebra: 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)^2

  A 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)

• Basic Algebra: 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 restrictions

  Sample 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)

Supplementary Files:

• Once you purchase this series you will have access to these files: