About This Chapter
Introduction to Algebraic Expressions - Chapter Summary
These lessons will teach you how to distinguish different kinds of algebraic equations by looking for identifying markers, when to bend the rules for simplifying an equation, when to use substituting numbers for variables, and use of keywords in solving algebraic word problems. You'll also go over algebra vocabulary words and translations for algebraic expressions.
Lessons also discuss other related subject matter, such as:
- Using algebraic expressions to express relationships
- Linear, polynomial, quadratic, and more common algebraic equations
- Addition and subtraction using monomials
- Algebraic expressions and the distributive property
- Simple algebraic expressions and how to evaluate them
- Math formula understanding and evaluation
- Dependent and independent math variables
Lessons are in text and video format. Videos are hosted by Study.com instructors and last about five to ten minutes each. We include a video transcript and a keyword-based timeline tool that makes it easy for you to go right to any part of the video you want to play again.
1. Expressing Relationships as Algebraic Expressions
What do you do when you don't know what a number is but you do know how it relates to something else? You use an algebraic expression. In this lesson, we'll learn how to express relationships as algebraic expressions.
2. Common Algebraic Equations: Linear, Quadratic, Polynomial, and More
Watch this video lesson to see the kinds of equations that you will come across most often in algebra. Learn to distinguish them by just looking for the identifying components of each equation.
3. How to Add & Subtract Monomials
In this video lesson, you will learn what kinds of monomials you can add or subtract together. You will also learn how to immediately tell when you cannot add or subtract your monomials.
4. The Distributive Property and Algebraic Expressions
The order of operations is great. But sometimes we need to bend the rules to simplify an equation. Fortunately, the distributive property gives us a scenario in which this is okay. Learn all about it in this lesson.
5. Evaluating Simple Algebraic Expressions
In this lesson, we'll learn how to evaluate algebraic expressions, which involves substituting numbers for variables and following the order of operations. By the end of the lesson, you'll be an algebraic expression expert.
6. Algebra Vocabulary Terms
Watch this video lesson to learn about some basic vocabulary words that you will come across again and again in the course of your studies in algebra. After you finish this video, you should know and be able to identify each term.
7. Translating Words to Algebraic Expressions
When it comes to word problems, the easiest way to solve them is to look for keywords and change them into math symbols. Watch this video lesson to find out what keywords you should look for and what math symbols they represent.
8. Understanding and Evaluating Math Formulas
With all the formulas out there, how do you know which one to pick? And how do you read formulas anyways? Watch this video lesson and you will find the answers to these questions.
9. Independent & Dependent Variables in Math
Learn what it means for a variable to be independent or dependent. Then explore how we identify which variables are independent and which are dependent in word problems and math equations.
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