MA007: Writing Algebraic Expressions | Saylor Academy

Translating word problems into equations can take some practice since there are so many different ways to say the same thing. Before we work on writing complete equations, let's start with algebraic expressions, which are parts of equations. Watch these two videos, which provide step-by-step examples of how to translate word problems into expressions.

Source: MathisPower4U, https://youtu.be/nsQ_tHSe4qU, https://youtu.be/-b1pKedxCeo
This work is licensed under a Creative Commons Attribution 3.0 License.

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