Monday, December 10, 2018

Free Algebra Study Guide with Videos

This Algebra study guide is designed to supplement your current textbook. Your textbook is well written in a patient style and the appropriate sections should be read before each class meeting.
Chapter 1 - Real Numbers and Their Operations

   1.1 Real Numbers and The Number Line
   1.2 Adding and Subtracting Integers
   1.3 Multiplying and Dividing Integers
   1.4 Fractions
   1.5 Review of Decimals and Percents
   1.6 Exponents and Square Roots
   1.7 Order of Operations
   1.8 Sample Exam Questions

Chapter 2 - Linear Equations and Inequalities

   2.1 Introduction to Algebra
   2.2 Simplifying Algebraic Expressions
   2.3 Linear Equations: Part I
   2.4 Linear Equations: Part II
   2.5 Applications of Linear Equations
   2.6 Ratio and Proportion Applications
   2.7 Introduction to Inequalities and Interval Notation
   2.8 Linear Inequalities (one variable)
   2.9 Review Exercises and Sample Exam

Chapter 3 - Graphing Lines

   3.1 Rectangular Coordinate System
   3.2 Graph by Plotting Points
   3.3 Graph using Intercepts
   3.4 Graph using the y-intercept and Slope
   3.5 Finding Linear Equations
   3.6 Parallel and Perpendicular Lines
   3.7 Introduction to Functions
   3.8 Linear Inequalities (Two Variables)
   3.9 Review Exercises and Sample Exam

Chapter 4 - Solving Linear Systems

   4.1 Solving Linear Systems by Graphing
   4.2 Solving Linear Systems by Substitution
   4.3 Solving Linear Systems by Elimination
   4.4 Applications of Linear Systems
   4.5 Solving Systems of Linear Inequalities (Two Variables)
   4.6 Review Exercises and Sample Exam


   [ Elementary Algebra Exam #1 Solutions ]
   [ Elementary Algebra Exam #2 Solutions ]
   [ Elementary Algebra Exam #3 Solutions ]
   [ Elementary Algebra Exam #4 Solutions ]

    --- EA Sample Final Exam Ch. 1-7 ---
Chapter 5 - Polynomials and Their Operations

   5.1 Rules of Exponents (Integer Exponents)
   5.2 Introduction to Polynomials and Evaluating
   5.3 Adding and Subtracting Polynomials
   5.4 Multiplying Polynomials and Special Products
   5.5 Dividing Polynomials  (Synthetic Division)
   5.6 Negative Exponents and Scientific Notation
   5.7 Review Exercises and Sample Exam

Chapter 6 - Factoring and Solving by Factoring

   6.1 Introduction to Factoring
   6.2 Factoring Trinomials
   6.3 Factoring Trinomials ax^2 + bx + c
   6.4 Factoring Binomials
   6.5 General Guidelines for Factoring Polynomials
   6.6 Solving Equations by Factoring
   6.7 Applications involving Quadratic Equations
   6.8 Review Exercises and Sample Exam

Chapter 7 - Rational Expressions and Equations

   7.1 Simplifying Rational Expressions
   7.2 Multiplying and Dividing Rational Expressions
   7.3 Adding and Subtracting Rational Expressions
   7.4 Complex Fractions
   7.5 Solving Rational Equations
   7.6 Applications of Rational Equations
   7.7 Variation
   7.8 Review Exercises and Sample Exam

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Intermediate Algebra (IA) (Algebra 2) topics below.
IA Chapter - Radical Expressions and Equations

   1 Radicals
   2 Simplifying Radical Expressions
   3 Adding and Subtracting Radical Expressions
   4 Multiplying and Dividing Radical Expressions
   5 Rational Exponents
   6 Solving Radical Equations
   7 Complex Numbers
   8 Review Exercises and Sample Exam

IA Chapter - Solving Quadratic Equations and Graphing Parabolas

   1 Extracting Square Roots
   2 Completing the Square
   3 Quadratic Formula
   4 Guidelines for Solving Quadratic Equations and Applications
   5 Solving Equations Quadratic in Form
   6 Graphing Parabolas
   7 Complex Numbers and Complex Solutions
   8 Review Exercises and Sample Exam

IA Chapter - Solving Inequalities 
   1 Absolute Value Equations
   2 Absolute Value Inequalities
   3 Quadratic Inequalities
   4 Polynomial and Rational Inequalities


[ Intermediate Algebra Exam #1 Solutions ]
[ Intermediate Algebra Exam #2 Solutions ]
[ Intermediate Algebra Exam #3 Solutions ]
[ Intermediate Algebra Exam #4 Solutions ]

   --- IA Sample Final Exam Ch. 1- 7 ---
IA Chapter - Graphing Basic Functions
   1 Relations, Graphs, and Functions
   2 Graphing the Basic Functions
   3 Using Transformations to Graph Functions


IA Chapter - Exponential Equations and Logarithms

   1  Function Composition
   2  Inverse Functions
   3  Exponential Functions and Their Graphs
   4  The Natural Exponential Function
   5  Logarithmic Functions
   6  Graphing Logarithmic Functions
   7  Change of Base Formula
   8  Properties of the Logarithm
   9  Solving Exponential Equations
   10 Solving Logarithmic Equations
   11 Applications
         Compound Interest Problems
         Exponential Growth/Decay


IA Chapter - Graphing Conic Sections

   1 Distance and Midpoint Formulas
   2 Circles
   3 Ellipses
   4 Hyperbolas
   5 Solving Nonlinear Systems

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Friday, June 9, 2017

Algebra Video Compendium

Click on a problem to see it worked out in YouTube.

1.1 Real Numbers and The Number Line




1.2 Adding and Subtracting Integers




1.3 Multiplying and Dividing Integers




1.4 Fractions



1.5 Review of Decimals and Percents




1.6 Exponents and Square Roots




1.7 Order of Operations




2.1 Introduction to Algebra

2.2 Simplifying Algebraic Expressions


2.3 Linear Equations: Part I

2.4 Linear Equations: Part II

2.5 Applications of Linear Equations

2.6 Ratio and Proportion Applications

2.7 Introduction to Inequalities and Interval Notation

2.8 Linear Inequalities (one variable)




3.1 Rectangular Coordinate System



3.2 Graph by Plotting Points


3.3 Graph using Intercepts


3.4 Graph using the y-intercept and Slope


3.5 Finding Linear Equations


3.6 Parallel and Perpendicular Lines


3.7 Introduction to Functions



3.8 Linear Inequalities (Two Variables)


4.1 Solving Linear Systems by Graphing


4.2 Solving Linear Systems by Substitution


4.3 Solving Linear Systems by Elimination


4.4 Applications of Linear Systems




4.5 Solving Systems of Linear Inequalities (Two Variables)



5.1 Rules of Exponents (Integer Exponents)


5.2 Introduction to Polynomials and Evaluating


5.3 Adding and Subtracting Polynomials


5.4 Multiplying Polynomials and Special Products


5.5 Dividing Polynomials


5.6 Negative Exponents and Scientific Notation



6.1 Introduction to Factoring and Factor by Grouping




6.2 Factoring Trinomials




6.3 Factoring Trinomials ax^2 + bx + c



6.4 Factoring Binomials




6.5 General Guidelines for Factoring Polynomials



6.6 Solving Equations by Factoring


6.7 Applications involving Quadratic Equations


7.1 Simplifying Rational Expressions

7.2 Multiplying and Dividing Rational Expressions

7.3 Adding and Subtracting Rational Expressions

7.4 Complex Fractions

7.5 Solving Rational Equations

7.6 Applications of Rational Equations

7.7 Variation



1 Radicals

2 Simplifying Radical Expressions


3 Adding and Subtracting Radical Expressions








4 Multiplying and Dividing Radical Expressions









5 Rational Exponents





6 Solving Radical Equations







8 Complex Numbers