RWM102: Ordered Pair Solutions to Equations | Saylor Academy

Home Specialization Programs Help

In this video, we see that if we graph an equation, the solutions must lie on the graph. This gives us an additional way to test if an ordered pair of numbers is a solution to an equation.

Source: Khan Academy, https://youtu.be/HUn4XwV7o9I
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 License.

Last modified: Wednesday, 12 June 2024, 12:54 PM

COURSE INTRODUCTION

Course Syllabus

Unit 1: Variables and Variable Expressions

1.1: Variables, Constants, and Coefficients

Identifying Variable Parts and Coefficients of Terms

1.2: Replacing Variables with Their Values

How to Write Multiplication in Algebra

Practice Evaluating Expressions in One Variable

Practice Evaluating Expressions in Two Variables

1.3: Order of Operations Review

Order of Operations

Practice Using PEMDAS

1.4: Commutative Property of Addition and Multiplication

Commutative Laws of Addition and Multiplication

1.5: Associative Property of Addition and Multiplication

Associative Laws of Addition and Multiplication

1.6: Distributive Property of Multiplication over Addition/Subtraction

Distributive Property of Multiplication over Addition

1.7: Definition and Examples of Like Terms

Like Terms

1.8: Simplifying Expressions by Combining Like Terms

Combining Like Terms

Practice Combining Like Terms with Negative Coefficients

Practice Combining Like Terms with Negative Coefficients and Distribution

Unit 2: Linear Equations

2.1: Definition of an Equation and a Solution of an Equation

Solving Linear Equations with One Variable

2.2: Addition/Subtraction Property of Equations

The Subtraction and Addition Properties of Equality

2.3: Multiplication/Division Property of Equations

The Division and Multiplication Properties of Equality

2.4: Equations of the Form x + a = b and x − a = b

Adding and Subtracting the Same Thing to Both Sides

Practice Solving One-Step Equations

2.5: Equations of the Form ax = b and x/a = b

Algebraic Equations with Multiplication and Division

Practice One-Step Equations with Multiplication and Division

2.6: Equations of the Form ax + b = c

Solving More Complicated Equations

Practice Solving Two-Step Equations

2.7: Equations of the Form ax + b = cx + d

Equations with Variables on Both Sides

Practice Solving Equations with Variables on Both Sides

2.8: Equations with Parentheses

Solving Equations with the Distributive Property

Practice Solving Multistep Equations with Distribution

2.9: Solving Literal Equation for One of the Variables

Solving Linear Equations with One Variable

Solving for One Variable

Unit 3: Word Problems

3.1: Mathematical Symbols and Expressions for Common Words and Phrases

Translating Words into Mathematical Symbols

3.2: Translating Verbal Expression into Mathematical Equations

Writing Algebraic Equations

3.3: Number Problems

Solving Algebraic Expressions and Equations Part I

3.4: Consecutive Integer Problems

Adding Consecutive and Odd Integers

Solving Algebraic Expressions and Equations Part II

3.5: General Statement Problems

Solving Linear Word Problems with Substitution

Simple Word Problems Resulting In Linear Equations

3.6: Applying the Uniform Motion Equation

Solving a Formula for a Specific Variable

3.7: Value Mixture Problems

Mixture Problems

Solving Mixture Word Problems

Practice Solving Mixture Word Problems

Solving Percent Word Problems

Practice Solving Percent Word Problems

Unit 4: Inequalities

4.1: Definition and Notation of an Inequality

Using the Language of Algebra

4.2: Graphing Inequalities on a Number Line

Plotting Inequalities on a Number Line

Introduction to Linear Inequalities

4.3: Solving One-Step Inequalities

One-Step Inequalities

One-Step Inequalities Word Problems

Practice Solving One-Step Inequalities