# Intermediate Algebra (MATH 103)

## Multi-Media Resources

Instructor:   Dr. Seongchun (Michelle) Kwon at Missouri State University-West Plains
e-mail:   kwonseon at hotmail dot com

Please refer to the 'Resources' in WebAssign for the course powerpoint.

 Main Resources: GreeneMath.com mathispower4u patrickJMT ProfRobBob vg1220

 Subjects Video Resource 2.2. Simplifying Algebraic Expressions Properties of Real Numbers (ProfRobBob) Simplifying Algebraic Expressions Combining Like Terms (ProfRobBob) Simplifying expressions with exponents (Angiewvc): Watch the first example Multiplying and simplifying rational expressions | Algebra II (Khan Academy) 13- Introductory Algebra - Simplify Algebraic Expressions (vg1220) 3.1. Solving Linear Equations 3.2. Equations that reduce to linear form Solving Linear Equations (ProfRobBob) Linear Equations Variables on Both Sides 5 Examples Full Length (ProfRobBob) Solving 2 Step Linear Equations includes Fractions 5 Examples (ProfRobBob) Linear Equations Variables on Both Sides Word Problems 2 Examples (ProfRobBob) 3.5. Geometric and Scientific Applications 21 - Introductory Algebra - Rearranging Formulas (vg1220) Rearranging Formulas for Another Variable Part 1 (vg1220) Rearranging Formulas for Another Variable Part2 (vg1220) Rearrange formulas to isolate specific variables (Khan Academy) Algebra Word Problem: Mixture (MathTV) Solving an Investment Problem (patrickJMT) Time and Work - Concepts and Tricks - Part 1 [HD] (aptitudeacademy) Watch up to 2:40 which includes Example 1. Work rate Word Problem - Algebra fwk IA 04-0802 (John Redden) 3.6. Linear Inequalities Solving Linear Inequalities in One Variable (Mathispower4u): up to 5:59 Algebra II Main Lesson III.1: Solving Linear Inequalities in one Variable (GreeneMath.com) 3.7. Absolute Value Equations and Inequalities Practice Absolute Value Equations & Inequalities (ProfRobBob) Algebra II Main Lesson V.1: Solving Absolute Value Equations (GreeneMath.com) Algebra II Main Lesson V.2: Solving Absolute Value Inequalities (GreeneMath.com) 4.1. Ordered Pairs and Graphs 23 - Introductory Algebra - Graphs of Linear Equations Pt1 (vg1220) 24 - Introductory Algebra - Graphs of Linear Equations Pt2 (vg1220) 4.3. Relations, Functions and Graphs Function vs Relation (ProfRobBob) The Vertical Line Test (patrickJMT) Function Notation (patrickJMT) 4.4. Slope and Graphs of Linear Equations 4.5. Equations of Lines Finding the Slope of a Line (patrickJMT) Graphing Lines in Slope-Intercept form y=mx+b (ProfRobBob) Equations of Parallel and Perpendicular Lines (ProfRobBob) Rate of Change Slope & Point Slope Equation of Lines (ProfRobBob) Graphing lines using X & Y Intercepts (ProfRobBob) Graphing horizontal and vertical lines (Mathispower4u) 4.6. Graphs of Linear Inequalities Graphing Linear Inequalities (ProfRobBob) 5.5 - Lesson - Graphing Linear Inequalities Video Lesson (MrJSaintGermain) 5.1. Integer Exponents and Scientific Notation BCA1. Integer Exponent Rules (MathDoctorBob): This is a summary version. Watch especially when you review for the exam. Algebra I Help: Rules of Exponents Part 1: The Product Rule (GreeneMath.com) Algebra I Help: Rules of Exponents Part IV: Quotient Rule (GreeneMath.com) Algebra I Help: Rules of Exponents Part 2: Power Rules 1/3 (GreeneMath.com) Algebra I Help: Rules of Exponents Part 2: Power Rules 2/3 (GreeneMath.com) Algebra I Help: Rules of Exponents Part 2: Power Rules 3/3 (GreeneMath.com) 5.2. Adding and Subtracting Polynomials 37 - Introductory Algebra - Intro to Polynomials (vg1220) 38 - Introductory Algebra - Add Subtract Polynomials (vg1220) Ex: Adding and Subtracting Polynomials (Mathispower4u) Ex: Adding Polynomials (Mathispower4u) Ex: Subtracting Polynomials (Mathispower4u) 5.3. Multiplying Polynomials: Special Products 39 - Introductory Algebra - Multiply Polynomials Pt1 (vg1220): This is prerequisite contents for this course. 40 - Introductory Algebra - Multiply Polynomials Pt2 (vg1220) 41 - Introductory Algebra - Multiply Polynomials Pt3 (vg1220) Special Products Multiplying Polynomials (Melissa Gresham): You are to remember the formulas discussed here. 5.4. Dividing Polynomials and Synthetic Division Long Division of Polynomials (patrickJMT) Long Division of Polynomials - A slightly harder example (patrickJMT) Synthetic Division (patrickJMT) 6.1. Factoring Polynomials with Common Factors Factoring Using the Great Common Factor, GCF - Example 1 (patrickJMT) Ex: Factoring Polynomials with Common Factors (Mathispower4u) Factoring Using the Great Common Factor, GCF - Example 2 - Factoring Out Binomials (patrickJMT) Factoring by Grouping - Ex 1 (patrickJMT) 6.2. Factoring Trinomials Factoring Quadratic Trinomial x^2+bx+c Polynomial (ProfRobBob) 6.3. More About Factoring Trinomials Factoring Qudratic Trinomials with Leading Coefficient Greater than 1 (Melissa Gresham) Factoring Trinomials (A quadratic Trinomial) by Trial and Error (patrickJMT) Factoring Trinomials by Trial and Error - Ex 2 (patrickJMT) Factoring Trinomials : Factor by Grouping - ex 1 (patrickJMT) Factoring Trinomials : Factor by Grouping - ex 2 (patrickJMT) Factoring Trinomials : Factor by Grouping - ex 3 (patrickJMT) 6.4. Factoring Polynomials with Special Forms: All formulas must be remembered. Factoring the Difference of Two Squares - Ex 1 (patrickJMT) Factoring the Difference of Two Squares - Ex 2 (patrickJMT) Factoring the Difference of Two Squares - Ex 3 (patrickJMT) Ex: Factor Perfect Square Trinomials (Mathispower4u) Factoring Perfect Square Trinomials - Ex1 (patrickJMT) Factoring Perfect Square Trinomials - Ex 2 (patrickJMT) Factoring Sums and Differences of Cubes (patrickJMT) Ex 2: Factor a Sum or Difference of Cubes (Mathispower4u) Factoring - Sum & Difference of Cubes - Part 1 (vg1220) Factoring - Sum & Difference of Cubes - Part 2 (vg1220) Factoring - Sum & Difference of Cubes - Part 3 (vg1220) 6.5. Solving Polynomial Equations by Factoring The Zero-Product Property (Mathispower4u) Solving Quadratic Equations by Factoring - Part 1 (vg1220) Solving Quadratic Equations by Factoring - Part 2 (vg1220) Solving Quadratic Equations by Factoring - Part 3 (vg1220) 7.1. Rational Expressions and Functions 7.2. Multiplying and Dividing Rational Expressions Rational Expressions and Domain (patrickJMT) Multiply Rational Expressions Part 1 (vg1220) Divide Rational Expressions (vg1220) 7.3. Adding and Subtracting Rational Expressions Add & Subtract Rational Expressions (w/common denominator) (vg1220) Add & Subtract Rational Expressions Part 1 (vg1220) Add & Subtract Rational Expressions Part 2 (vg1220) Add & Subtract Rational Expressions Part 3 (vg1220) 7.5. Solving Rational Expressions Solve Rational Equations Part 1 (vg1220) Solve Rational Equations Part 2 (vg1220) 8.1. Solving Systems of Equations by Graphing and Substitution Solving a Linear System of Equations by Graphing (patrickJMT) Solving Linear Systems of Equations Using Substitution (patrickJMT) 8.2. Solving Systems of Equations by Elimination 48 - Introductory Algebra - Solving Systems of Equations Elimination part 1 (vg1220) 49 - Introductory Algebra - Solving Systems of Equations Elimination part 2 (vg1220) 50 - Introductory Algebra - Solving Applications - Systems of Equations part 1 (vg1220) 51 - Introductory Algebra - Solving Applications - Systems of Equations part 2 (vg1220) 9.1. Radicals and Rational Exponents Rational Exponents & Simplifying Radicals (ProfRobBob) Evaluating Numbers with Rational Exponents by using Radical Notation - Basic Example 1 (patrickJMT) 9.2. Simplifying Radical Expressions Simplifying Radical Expressions Without Fractions (Mathispower4u) Simplifying Radical Expressions With Fractions (Mathispower4u) Simplifying Radical Expressions Involving Variables - Example 1 (patrickJMT) Simplifying Radical Expressions Involving Variables - Example 2 (patrickJMT) Simplifying Radical Expressions Involving Variables - Example 3 (patrickJMT) 9.3. Adding and Subtracting Radical Expressions 61 - Introductory Algebra - Add and Subtract Radical Expressions (vg1220) 9.4. Multiplying and Dividing Radical Expressions Multiplying Radicals (Mathispower4u) Ex: Multiply Radicals with Variables (Mathispower4u) 59 - Introductory Algebra - Quotients with Radicals (vg1220) 9.5. Radical Equations and Applications 64 - Introductory Algebra - Solve Radical Equations (vg1220) Solving Equations Involving Square Roots (patrickJMT) Solving an Equation Containing Two Radicals - Example 1 (patrickJMT) Solving an Equation Containing Two Radicals - Example 2 (patrickJMT) 9.6. Complex Numbers Complex (imaginary) Numbers Part 1 (ProfRobBob): watch up to 12:42 Adding and Subtracting Complex (Imaginary) Numbers (patrickJMT) Complex Numbers - Multiplying and Dividing (patrickJMT) Complex Numbers: Dividing - Ex 1 (patrickJMT) Complex Numbers: Dividing - Ex 2 (patrickJMT) Complex Numbers: Dividing - Ex 3 (patrickJMT) 10.1. Solving Quadratic Equations 10.2. Completing the Square Completing the Square to Solve Quadratic Equations (Mathispower4u) Ex 1: Completing the Square - Real Rational Solutions (Mathispower4u) Ex 2: Completing the Square - Real Irrational Solutions (Mathispower4u) 10.3. The Quadratic Formula Quadratic Equations - Factoring and Quadratic Formula (patrickJMT) 10.5. Applications of Quadratic Equations More Word Problems Using Quadratic Equations - Example 1 (patrickJMT) More Word Problems Using Quadratic Equations - Example 2 (patrickJMT) 10.6. Quadratic and Rational Inequalities Solving Quadratic Inequalities (patrickJMT) Solving Rational Inequalities (ProfRobBob) Solving Rational Inequalities (patrickJMT) This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.