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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
Course Feedback Survey
Certificate Final Exam
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RWM102: Algebra
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Mathematics
RWM102: Algebra
Sections
Unit 2: Linear Equations
2.7: Equations of the Form
ax
+
b
=
cx
+
d
Practice Solving Equations with Variables on Both Sides
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Practice Solving Equations with Variables on Both Sides
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Course Syllabus
Course Terms of Use
Identifying Variable Parts and Coefficients of Terms
How to Write Multiplication in Algebra
Practice Evaluating Expressions in One Variable
Practice Evaluating Expressions in Two Variables
Order of Operations
Practice Using PEMDAS
Commutative Laws of Addition and Multiplication
Associative Laws of Addition and Multiplication
Distributive Property of Multiplication over Addition
Like Terms
Combining Like Terms
Practice Combining Like Terms with Negative Coefficients
Practice Combining Like Terms with Negative Coefficients and Distribution
Solving Linear Equations with One Variable
The Subtraction and Addition Properties of Equality
The Division and Multiplication Properties of Equality
Adding and Subtracting the Same Thing to Both Sides
Practice Solving One-Step Equations
Algebraic Equations with Multiplication and Division
Practice One-Step Equations with Multiplication and Division
Solving More Complicated Equations
Practice Solving Two-Step Equations
Equations with Variables on Both Sides
Solving Equations with the Distributive Property
Practice Solving Multistep Equations with Distribution
Solving Linear Equations with One Variable
Solving for One Variable
Translating Words into Mathematical Symbols
Writing Algebraic Equations
Solving Algebraic Expressions and Equations Part I
Adding Consecutive and Odd Integers
Solving Algebraic Expressions and Equations Part II
Solving Linear Word Problems with Substitution
Simple Word Problems Resulting In Linear Equations
Solving a Formula for a Specific Variable
Mixture Problems
Solving Mixture Word Problems
Practice Solving Mixture Word Problems
Solving Percent Word Problems
Practice Solving Percent Word Problems
Using the Language of Algebra
Plotting Inequalities on a Number Line
Introduction to Linear Inequalities
One-Step Inequalities
One-Step Inequalities Word Problems
Practice Solving One-Step Inequalities
Multi-step Inequalities with Variables on Both Sides
Practice Solving Multipstep Inequalities
Points in the Coordinate Plane
Ordered Pair Solutions to Equations
Practice Ordered Pair Solutions to Linear Equations
Graphing Linear Equations with Two Variables
Graphs with Intercepts
Understanding the Slope of a Line
Parallel and Perpendicular Lines
Using the Slope-Intercept Form of an Equation of a Line
Linear Equations in Point-Slope Form
Graphs of Linear Inequalities
Checking Solutions for Systems of Linear Equations
Using Graphs to Solve Linear Equations
Using the Substitution Method
Practice Using the Substitution Method
The Elimination Method
Practice Solving Linear Equations with Elimination
Comparing Methods for Solving Linear Systems
Coin and Mixture Problems
Solving Word Problems with Linear Systems
Solving Word Problems with Linear Systems
Graphing Systems of Linear Inequalities
Solving Applications of Linear Inequalities
Linear Programming
Exponential Expressions
Exponential Properties Involving Products
Exponential Properties Involving Quotients
Negative Exponent Intuition
Practice Solving Problems with Negative Exponents
Multiplication Properties of Exponents
Dividing Monomials
Introduction to Polynomials
Adding and Subtracting Polynomials
More on Adding and Subtracting Polynomials
Multiplying Monomials by Polynomials
Using the FOIL Technique to Multiply Binomials
Multiplying Binomials by a Binomial
Finding the Square of a Binomial with One Variable
Special Products of Polynomials
Multiplying a Polynomial by a Binomial
Multiplying Polynomials
Dividing Polynomials with Monomials with Remainder
Dividing Polynomials
Dividing Polynomials by Binomials
Dividing Polynomials by Binomials
The Language of Factoring
Using the Greatest Common Factor and Factoring by Grouping
Factoring by Grouping
Practice Factoring Polynomials
Basic Concepts Involved in Factoring Trinomials
Factoring Trinomials
Practice Factoring Polynomials
Factoring Trinomials of the Form x² + bx + c when c is Negative
Factoring by Grouping
Practice Factoring by Grouping
Factoring Trinomials with Two Variables
Practice Factoring Trinomials with Two Variables
Factoring Using Perfect Square Trinomials
Factoring Perfect Square Trinomials
Factoring Using Difference of Squares
Factoring Sum of Cubes
Factoring Polynomials
More on Factoring Polynomials
Practice Factoring Polynomials
Using the Principle of Zero Product to Solve Quadratic Equations
Using Factoring to Solve Quadratic Equations
Using Factoring to Solve Complicated Quadratic Equations
Using Factoring to Solve Problems
Course Feedback Survey
RWM102: Certificate Final Exam
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