Ch 18: Sequences & Algebraic Expressions

About This Chapter

Boost your confidence as you study for a test that covers sequences and algebraic expressions with help from this self-paced chapter. Short and engaging video lessons, multiple-choice quizzes and a practice exam can successfully improve your comprehension of this subject.

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.

10 Lessons in Chapter 18: Sequences & Algebraic Expressions
Test your knowledge with a 30-question chapter practice test
What is a Variable in Algebra?

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.

How to Find and Classify an Arithmetic Sequence

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!

Working with Geometric Sequences

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!

Expressing Relationships as Algebraic Expressions

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.

Evaluating Simple 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.

The Commutative and Associative Properties and Algebraic Expressions

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.

The Distributive Property and Algebraic Expressions

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.

Combining Like Terms in Algebraic Expressions

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.

Practice Simplifying Algebraic 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.

Negative Signs and Simplifying Algebraic Expressions

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.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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