MA007: Solving Equations with the Distributive Property | Saylor Academy

Remember the distributive property from section 1.8. This is when we distribute a value into a set of parentheses. For example: 5(x + 2)= 5x + 10. We will now use that skill to help us solve equations. Watch these two videos to see examples of how this type of equation can be solved.

Source: Khan Academy, https://youtu.be/YZBStgZGyDY, https://youtu.be/PL9UYj2awDc
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COURSE INTRODUCTION

Course Syllabus

Unit 1: Number Properties

Unit 1 Learning Outcomes

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 Law of Addition

Commutative Law of Multiplication

1.5: Associative Property of Addition and Multiplication

Associative Law of Addition

Associative Property of 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

Combining Like Terms Practice

Practice Combining Like Terms with Negative Coefficients

Practice Combining Like Terms with Negative Coefficients and Distribution

Unit 2: Linear Equations

Unit 2 Learning Outcomes

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

Language of Equations

Testing Solutions to Equations

Let's Practice Solutions to Equations

2.2: Addition/Subtraction Property of Equations

The Subtraction and Addition Properties of Equality

One-Step Addition and Subtraction Equations

2.3: Multiplication/Division Property of Equations

The Division and Multiplication Properties of Equality

2.4: Equations of the Form ax + b = c

Solving More Complicated Equations

Two-Step Equations with Fractions

Practice Solving Two-Step Equations

2.5: Equations with Variables on Both Sides

Equations with Variables on Both Sides

Practice Solving Equations with Variables on Both Sides

2.6: Equations with Parentheses

Solving Equations with the Distributive Property

Practice Solving Multistep Equations with Distribution

Number of Solutions

2.7: Solving Literal Equation for One of the Variables

Solving Linear Equations with One Variable

Solving for One Variable

Practice Solving Literal Equations

Unit 3: Word Problems

Unit 3 Learning Outcomes

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 Expressions

3.3: Consecutive Integer Problems

Solving Algebraic Expressions and Equations

Two-Step Word Problems

Garden Word Problem

Business Word Problem

Two-Step Equations Word Problems Practice

3.4: Number Problems

Adding Consecutive and Odd Integers

Practice Solving Consecutive Integer Problems

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

Using the Distance Formula to Solve Word Problems

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