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RWM102: Algebra
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RWM102: Algebra
Sections
Unit 6: Systems of Linear Equations and Inequalities
6.1: Solving Systems of Linear Equations
6.1.3: Solving Systems of Linear Equations Using the Substitution Method
Khan Academy: "Practice Using Substitution for Systems"
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Khan Academy: "Practice Using Substitution for Systems"
Watch this video and take notes. In this video, a system of equation is solved using substitution.
Last modified: Monday, July 11, 2016, 11:11 AM
◄ CK-12: Andrew Gloag, Anne Gloag, and Melissa Kramer's "Graphs of Linear Systems"
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Course Syllabus
Course Terms of Use
Unit 1 Learning Outcomes
Khan Academy: "What Is a Variable?"
CK-12: Andrew Gloag, Anne Gloag, and Melissa Kramer's "Variable Expressions"
Dr. Carol Burns' "Identifying Variable Parts and Coefficients of Terms"
David McAdams' "Term"
Khan Academy: "Why Aren't We Using the Multiplication Sign?"
CK-12: Andrew Gloag, Anne Gloag, and Melissa Kramer's "Expressions with One or More Variables"
Khan Academy: "Evaluating Expressions in One Variable"
Khan Academy: "Evaluating Expressions in 2 Variables"
CK-12: Andrew Gloag, Anne Gloag, and Melissa Kramer's "PEMDAS"
Khan Academy: "Order of Operations"
CK-12: Andrew Gloag, Anne Gloag, and Melissa Kramer's "PEMDAS"
CK-12: Andrew Gloag, Anne Gloag, and Melissa Kramer's "Expressions with One or More Variables"
Khan Academy: "Arithmetic Properties"
Wade Ellis and Denny Burzynski's "Basic Properties of Real Numbers: Properties of the Real Numbers"
Wade Ellis and Denny Burzynski's "Basic Properties of Real Numbers: Properties of the Real Numbers"
Wade Ellis and Denny Burzynski's "Basic Properties of Real Numbers: Properties of the Real Numbers"
David McAdams' "Like Terms"
Khan Academy: "Combining Like Terms and the Distributive Property"
MathIsPower4U: James Sousa's "Simplifying Algebraic Expressions"
Wade Ellis and Denny Burzynski's "Algebraic Expressions and Equations: Exercise Supplement"
Khan Academy: "Combining Like Terms With Distribution"
Unit 2 Learning Outcomes
John Redden's "Elementary Algebra: Solving Linear Equations in One Variable"
Khan Academy: "Why Do We Do the Same Thing to Both Sides: Simple Equations"
Dr. Carol Burns' "The Addition Property of Equality"
Khan Academy: "Intuition Why We Divide Both Sides"
Dr. Carol Burns' "The Multiplication Property of Equality"
Khan Academy: "One Step Equation Intuition Exercise Intro"
Khan Academy: "Adding and Subtracting the Same Thing to Both Sides"
Khan Academy: "One Step Equations"
Khan Academy: "One-Step and Linear Equations"
CK-12: Andrew Gloag, Anne Gloag, and Melissa Kramer's "One-Step Equations and Inverse Operations"
Khan Academy: "One Step Equations with Multiplication"
Khan Academy: "2-Step Equations"
Khan Academy: "Two-Step Equations"
Dr. Carol Burns' "Solving Linear Equations Involving Fractions"
Khan Academy: "Solving Equations"
Dr. Carol Burns' "Solving Linear Equations, All Mixed Up"
Khan Academy: "Equations with Variables on Both Sides"
Khan Academy: "Solving Equations with the Distributive Property"
CK-12: Andrew Gloag, Anne Gloag, and Melissa Kramer's "Distributive Property for Multi-Step Equations"
Khan Academy: "Multistep Equations with Distribution"
John Redden's "Elementary Algebra: Solving Linear Equations in One Variable"
MathIsPower4U: James Sousa's "Solving a Formula for a Variable"
John Redden's "Solve for a Variable - Algebra"
John Redden's "Elementary Algebra: Solving Linear Equations in One Variable"
Khan Academy: "Solving Equations in Term of a Variable"
Khan Academy: "Solving for Variables"
Wade Ellis and Denny Burzynski's "Solving Linear Equations and Inequalities: Proficiency Exam"
Unit 3 Learning Outcomes
Wade Ellis and Denny Burzynski's "Algebraic Expressions and Equations: Applications I: Translating Words to Mathematical Symbols"
Khan Academy: "Writing Expressions"
MathIsPower4U: James Sousa's "Writing Algebraic Expressions"
Wade Ellis and Denny Burzynski's "Algebraic Expressions and Equations: Applications I: Translating Words to Mathematical Symbols"
Wade Ellis and Denny Burzynski's "Algebraic Expressions and Equations: Applications II: Solving Problems"
Guillermo Bautista's "The Mathematics Word Problem Solving Series"
Khan Academy: "Integer Sums"
Mathematics and Multimedia: Guillermo Bautista's "The Mathematics Word Problem Solving Series"
Wade Ellis and Denny Burzynski's "Algebraic Expressions and Equations: Applications II: Solving Problems"
Khan Academy: "Integer Sums"
MathIsPower4U: James Sousa's "Problem Solving with Equations"
Khan Academy: "Algebraic Word Problem"
Khan Academy: "Linear Equation Word Problems"
MathIsPower4U: James Sousa's "Distance = Rate x Time Application Problem"
Guillermo Bautista's "The Mathematics Word Problem Solving Series: Math Word Problems: Solving Motion Problems Part 2"
Uniform Motion Problems Involving Current, Headwind, or Moving Sidewalk
Dr. Carol Burns' "Simple Word Problems Resulting in Linear Equations"
Khan Academy: "Mixture Problems"
CK-12: Andrew Gloag, Anne Gloag, and Melissa Kramer's "Percent Problems"
Khan Academy: "Percent Word Problems"
Khan Academy: "Mixture Problems"
Larry Green's "Problems that Involve Mixing 2 Beakers of Acid"
Larry Green's "Money and Mixing Word Problems"
MathIsPower4U: James Sousa's "Uniform Motion Problems"
Larry Green's "Distance = Rate times Time"
Unit 4 Learning Outcomes
Wade Ellis's and Denny Burzynski's "Solving Linear Equations and Inequalities: Linear Inequalities in One Variable"
David McAdams' "Inequality"
Khan Academy: "Inequalities on a Number Line"
Khan Academy: "Plotting Inequalities"
CK-12: Andrew Gloag, Anne Gloag, and Eve Rawley's "Linear Inequalities"
Khan Academy: "One Step Inequalities"
Khan Academy: "Multi-Step Linear Inequalities"
CK-12: Andrew Gloag, Anne Gloag, and Eve Rawley's "Multi-Step Inequalities"
CK-12: "Algebra II: Solving Inequalities"
Khan Academy: "Writing and Using Inequalities"
Wade Ellis and Denny Burzynski's "Solving Linear Equations and Inequalities: Proficiency Exam"
Unit 5 Learning Outcomes
CK-12: Andrew Gloag, Anne Gloag, and Eve Rawley's "Points in the Coordinate Plane"
Khan Academy: "Graphing Points and Naming Quadrants"
Khan Academy: "Descartes and Cartesian Coordinates"
Dr. Carol Burns' "Introduction to Equations and Inequalities in Two Variables"
Khan Academy: "Ordered Pair Solutions to Equations"
Khan Academy: "Ordered Pair Solutions to Linear Equations"
Khan Academy: "Graph from Slope-Intercept Form"
MathIsPower4U: James Sousa's "Graph a Linear Equation Containing Fractions Using a Table of Values"
Khan Academy: "Plotting (x, y) Relationships and Ordered Pair Solutions"
MathIsPower4U: James Sousa's "Graph a Linear Equation in Standard Form Using a Table of Values"
MathIsPower4U: James Sousa's "Graph a Vertical Line Using a Table of Values"
MathIsPower4U: James Sousa's "Graph a Horizontal Line Using a Table of Values"
CK-12: Andrew Gloag, Anne Gloag, and Melissa Kramer's "Intercepts by Substitution"
CK-12: Andrew Gloag, Anne Gloag, and Melissa Kramer's "Intercepts and the Cover-up Method"
Khan Academy: "Intercepts from an Equation"
CK-12: Andrew Gloag, Anne Gloag, and Melissa Kramer's "Slope"
Khan Academy: "Identifying Slope of a Line"
Dr. Carol Burns' "Parallel and Perpendicular Lines"
CK-12: Andrew Gloag, Anne Gloag, and Eve Rawley's "Comparing Equations of Parallel and Perpendicular Lines"
MathIsPower4U: James Sousa's "Slope and Intercept Applications"
CK-12: Andrew Gloag, Anne Gloag, and Melissa Kramer's "Slope-Intercept Form"
Dr. Carol Burns' "Finding Equations of Lines"
CK-12: Andrew Gloag, Anne Gloag, and Melissa Kramer's "Linear Equations in Point-Slope Form"
Khan Academy: "Point Slope Form"
CK-12: Andrew Gloag, Anne Gloag, and Melissa Kramer's "Forms of Linear Equations"
Khan Academy: "Slope-Intercept and Standard Form"
CK-12: Andrew Gloag, Anne Gloag, and Melissa Kramer's "Equations of Parallel Lines"
CK-12: Andrew Gloag, Anne Gloag, and Melissa Kramer's "Equations of Perpendicular Lines"
Khan Academy: "Equations of Parallel and Perpendicular Lines"
MathIsPower4U: James Sousa's "Linear Equation Applications"
CK-12: Andrew Gloag, Anne Gloag, and Eve Rawley's "Linear Inequalities in Two Variables"
Khan Academy: "Graphs of Inequalities"
Khan Academy: "Graphing and Solving Linear Inequalities"
CK-12: Andrew Gloag, Anne Gloag, and Eve Rawley's "Linear Inequalities in Two Variables"
Wade Ellis and Denny Burzynski's "Graphing Linear Equations and Inequalities in One and Two Variables: Proficiency Exam"
Unit 6 Learning Outcomes
Dr. Carol Burns' "Introduction to Systems of Equations"
Khan Academy: "Testing a Solution for a System of Equations"
CK-12: Andrew Gloag, Anne Gloag, and Melissa Kramer's "Graphs of Linear Systems"
Khan Academy: "Graphing System of Equations"
Khan Academy: "Graphing System of Equations"
CK-12: Andrew Gloag, Anne Gloag, and Melissa Kramer's "Graphs of Linear Systems"
Dr. Carol Burns' "Solving Systems Using Substitution"
Khan Academy: "Systems of Equations with Substitution"
Khan Academy: "Systems of Equations with Simple Elimination"
Dr. Carol Burns' "Solving Systems Using Elimination"
Khan Academy: "Simple Elimination Practice"
Khan Academy: "Systems of Equations with Elimination"
CK-12: Andrew Gloag, Anne Gloag, and Eve Rawley's "Comparing Methods for Solving Linear Systems"
Khan Academy: "Systems of Equations"
CK-12: Andrew Gloag, Anne Gloag, and Melissa Kramer's "Special Types of Linear Systems"
Khan Academy: "Solutions to Systems of Equations"
Dr. Carol Burns' "Simple Word Problems Resulting in a System Equations"
CK-12: Andrew Gloag, Anne Gloag, and Eve Rawley's "Applications of Linear Systems"
Khan Academy: "Systems of Equations Word Problems"
CK-12: Andrew Gloag, Anne Gloag, and Melissa Kramer's "Systems of Linear Inequalities"
Khan Academy: "Graphing Systems of Inequalities"
CK-12: Andrew Gloag, Anne Gloag, and Eve Rawley's "Linear Programming"
CK-12: Andrew Gloag, Anne Gloag, and Melissa Kramer's "Systems of Equations and Inequalities"
Unit 7 Learning Outcomes
CK-12: Andrew Gloag, Anne Gloag, and Melissa Kramer's "Exponential Properties Involving Products"
Real Numbers and Their Operations: "Simplify Even Exponents - Algebra"
CK-12: Andrew Gloag, Anne Gloag, and Melissa Kramer's "Exponential Properties Involving Products"
CK-12: Andrew Gloag, Anne Gloag, and Melissa Kramer's "Exponential Properties Involving Quotients"
Khan Academy: "Negative Exponent Intuition"
Wade Ellis and Denny Burzynski's "Basic Operations with Real Numbers: Negative Exponents"
Khan Academy: "Exponent Properties"
Larry Green's "Practice with Exponents"
Wade Ellis and Denny Burzynski's "Basic Operations with Real Numbers: Negative Exponents"
Khan Academy: "Simplifying Expressions with Exponents"
MathIsPower4U: James Sousa's "Multiplying Monomials"
CK-12: Andrew Gloag, Anne Gloag, and Eve Rawley's "Multiplication of Monomials by Polynomials"
Monomial Division
Unit 8 Learning Outcomes
Wade Ellis and Denny Burzynski's "Elementary Algebra: Algebraic Expressions and Equations: Classification of Expressions and Equations"
Khan Academy: "Polynomials"
Khan Academy: "Addition and Subtraction of Polynomials"
MathIsPower4U: James Sousa's "Adding and Subtracting Polynomials"
MathIsPower4U: James Sousa's "Adding and Subtracting Polynomials"
Khan Academy: "Adding Polynomials with Multiple Variables"
CK-12: Andrew Gloag, Anne Gloag, and Eve Rawley's "Addition and Subtraction of Polynomials"
Wade Ellis and Denny Burzynski's "Elementary Algebra: Algebraic Expressions and Equations: Combining Polynomials Using Multiplication"
CK-12: Andrew Gloag, Anne Gloag, and Eve Rawley's "Multiplication of Monomials by Polynomials"
Dr. Carol Burns' "Basic FOIL"
Khan Academy: "Multiplying Binomials"
Dr. Carol Burns' "More Complicated FOIL"
Khan Academy: "Square a Binomial"
Dr. Carol Burns' "Simplifying (a+ b)2 and (a- b)2"
CK-12: Andrew Gloag, Anne Gloag, and Melissa Kramer's "Special Product of Polynomials"
Khan Academy: "Special Polynomial Products"
CK-12: Andrew Gloag, Anne Gloag, and Melissa Kramer's "Special Product of Polynomials"
CK-12: Andrew Gloag, Anne Gloag, and Melissa Kramer's "Chapter 9 Review"
Khan Academy: "Multiplying Polynomials"
CK-12: Andrew Gloag, Anne Gloag, and Melissa Kramer's "Multiplication of Polynomials"
Wade Ellis and Denny Burzynski's "Elementary Algebra: Rational Expressions: Dividing Polynomials"
Khan Academy: "Polynomial Divided by Monomial"
Khan Academy: "Dividing Polynomials"
Wade Ellis and Denny Burzynski's "Rational Expressions: Dividing Polynomials"
Kenny M. Felder's "Advanced Algebra II: Rational Expressions Homework - Dividing Polynomials"
Unit 9 Learning Outcomes
Dr. Carol Burns' "Recognizing Products and Sums; Identifying Factor and Terms"
Dr. Carol Burns' "Identifying Common Factors"
Dr. Carol Burns' "Factoring Simple Expressions"
CK-12: Andrew Gloag, Anne Gloag, and Melissa Kramer's "Monomial Factors of Polynomial"
Khan Academy: "Factoring Linear Binomials"
MathIsPower4U: James Sousa's "Factor by Grouping"
CK-12: Andrew Gloag, Anne Gloag, and Melissa Kramer's "Factoring Polynomials Completely"
Dr. Carol Burns' "Basic Concepts Involved in Factoring Trinomials"
Dr. Carol Burns' "Factoring Trinomials of the Form x2+ bx+ c, Where c > 0"
Khan Academy: "Factoring Trinomials with a Leading 1 Coefficient"
Khan Academy: "Factoring Polynomials"
Dr. Carol Burns' "Factoring Trinomials of the Form x2 + bx+ c, Where c< 0"
MathIsPower4U: James Sousa's "Factoring a Trinomial with Leading Coefficient"
Dr. Carol Burns' "Factoring Trinomials of the Form ax2 + bx+ c"
MathIsPower4U: James Sousa's "Factoring Trinomials: Trial and Error and Grouping"
Dr. Carol Burns' "Factoring Trinomials of the Form ax2 + bx+ c"
Larry Green's "The AC Method"
CK-12: Andrew Gloag, Anne Gloag, and Eve Rawley's "Factorization of Quadratic Expressions with Negative Coefficients"
Khan Academy: "Factoring Polynomials by Grouping"
John Redden's "Factor a Trinomial - Algebra"
Khan Academy: "Factoring Polynomials with Two Variables"
Prime Trinomials
CK-12: Andrew Gloag, Anne Gloag, and Eve Rawley's "Factorization Using Perfect Square Trinomials"
Khan Academy: "Factoring Perfect Square Trinomials"
CK-12: Andrew Gloag, Anne Gloag, and Eve Rawley's "Factorization Using Difference of Squares"
Khan Academy: "Factoring Difference of Squares"
Khan Academy: "Factoring Difference of Squares 1"
Khan Academy: "Factoring Difference of Squares 2"
MathIsPower4U: James Sousa's "Factoring a Sum or Difference of Cubes"
Khan Academy: "Factoring Sum of Cubes"
CK-12: Andrew Gloag, Anne Gloag, and Melissa Kramer's "Factoring Completely"
Khan Academy: "Factoring Trinomials"
John Redden's "Factor Difference of Squares"
Wade Ellis and Denny Burzynski's "Factoring Polynomials: Proficiency Exam"
Khan Academy: "Factoring Polynomials"
Khan Academy: "Factor Special Products"
Choosing a Strategy for Factoring a Polynomial
MathIsPower4U: James Sousa's "Solving Quadratic Equations by Factoring"
MathIsPower4U: James Sousa's "Solving Quadratic Equations by Factoring"
Dr. Carol Burns' "Solving Simple Quadratic Equations by Factoring"
Dr. Carol Burns' "Solving More Complicated Quadratic Equations by Factoring"
CK-12: Andrew Gloag, Anne Gloag, and Eve Rawley's "Solving Problems by Factoring"
Optional Course Evaluation Survey
RWM102: Final Exam
Dr. Carol Burns' "Solving Systems Using Substitution" ►
Courses
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RWM102: Algebra
Sections
Course Introduction
Unit 1: Variables and Variable Expressions
Unit 2: Linear Equations
Unit 3: Word Problems
Unit 4: Inequalities
Unit 5: Graphs of Linear Equations and Inequalities
Unit 6: Systems of Linear Equations and Inequalities
Unit 7: Operations with Monomials
Unit 8: Operations with Polynomials
Unit 9: Factoring Polynomials
Optional Course Evaluation Survey
Final Exam
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