About This Chapter
Sequences & Algebraic Expressions - Chapter Summary
Our instructors have developed entertaining lessons you can use to better understand sequences and algebraic expressions. Delve into the basics of the distributive property, variables, geometric sequences and much more. Studying these lessons will enable you to:
- Define a variable in algebra
- Find and classify an arithmetic sequence
- Recognize and work with geometric sequences
- Express relationships as algebraic expressions and evaluate simple algebraic expressions
- Differentiate between the commutative, associative and distribute properties
- Combine like terms in algebraic expressions
- Simplify algebraic expressions with and without negative signs
Feel free to review one, several or all lessons in this chapter based on the sequences and algebraic expressions topics you need to work on. These lessons are available to view anytime via any computer or mobile device, ensuring you're able to study whenever and wherever your schedule permits. Mini quizzes paired with the lessons check your knowledge of their contents, and our practice exam assesses your comprehension of the entire chapter. If you have questions about the topics covered in the lessons, be sure to submit them to our experts.
1. What is a Variable in Algebra?
Did you ever encounter something like a + b = c and wonder how all these letters snuck into a math problem? In this lesson, we'll learn about variables, as well as other parts of equations, constants and coefficients.
2. How to Find and Classify an Arithmetic Sequence
Arithmetic sequences are everywhere, and with a few tricks you learn here, you could end up looking like a psychic the next time you go to a movie or a football game!
3. Working with Geometric Sequences
In this video lesson, we'll learn how to recognize when a sequence of numbers is a geometric sequence, how to find the common ratio and how to expand a sequence to as many numbers as we want!
4. 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.
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. The Commutative and Associative Properties and Algebraic Expressions
The order of operations is important and useful, but a few mathematical properties highlight cases where order doesn't matter. In this lesson, we'll learn about the commutative and associative properties, which may save you time and effort.
7. 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.
8. Combining Like Terms in Algebraic Expressions
When you have an algebraic expression that's much too long, it would be great if you could simplify it. That's when knowing how to combine like terms comes in. In this lesson, we'll learn the process of combining like terms and practice simplifying expressions.
9. Practice Simplifying Algebraic Expressions
In this lesson, we'll practice simplifying a variety of algebraic expressions. We'll use two key concepts, combining like terms and the distributive property, to help us simplify.
10. Negative Signs and Simplifying Algebraic Expressions
Don't let negative signs get you down. In this lesson, we'll stay positive as we practice simplifying algebraic expressions that have those tricky negative signs.
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