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Ch 25: Basic Algebraic Expressions & Factoring

About This Chapter

In this chapter, our instructors will detail the important information you need to know about algebraic expressions and factoring. Use our mobile-friendly video lessons and practice quizzes for flexible studying.

Basic Algebraic Expressions & Factoring - Chapter Summary

Through these video lessons, you will review the basics of algebraic expressions and factoring. Let our instructors guide you through the vocabulary you need to know to work better with basic algebraic expressions. Easy-to-follow lessons will help you grasp the concepts of factoring.

This chapter will cover everything from interpreting to evaluating algebraic expressions. As you move through the chapter, you will review how to define factoring, detail the steps involved in factoring and check your own work once you've finished a factoring problem. When you've finished this chapter, you should be able to work with:

  • Variables in algebra
  • Relationships as algebraic expressions
  • Simple algebraic expressions
  • The commutative, associative and distributive properties
  • Like terms in algebraic expressions
  • Simplification and factoring
  • Division for reducing fractions
  • Steps for factoring by groups

You can study anywhere with this mobile-friendly chapter. The videos are short and easy to watch and allow you to learn at your own pace. To keep track of your progress, take advantage the dashboard feature. Take a quiz after each lesson to test your knowledge.

12 Lessons in Chapter 25: Basic Algebraic Expressions & Factoring
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.

Expressing Relationships as Algebraic Expressions

2. 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

3. 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

4. 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

5. 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

6. 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

7. 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.

What is Factoring in Algebra? - Definition & Example

8. What is Factoring in Algebra? - Definition & Example

Factoring with ordinary numbers involves knowing that 6 is the product of 2 and 3. But what about factoring in algebra? In this lesson, we'll learn the essential elements of algebra factoring.

Factoring Out Variables: Instructions & Examples

9. Factoring Out Variables: Instructions & Examples

Let's find the factors. In this lesson, we'll learn how to factor out numbers or variables from an expression. We'll even learn how to factor variables with exponents.

Combining Numbers and Variables When Factoring

10. Combining Numbers and Variables When Factoring

With an expression, you know how to factor out a number, and you know how to factor out a variable. In this lesson, we'll learn how to factor out combined numbers and variables.

Transforming Factoring Into A Division Problem

11. Transforming Factoring Into A Division Problem

Watch this video lesson to learn how you can factor a problem by turning it into a division problem. Learn how this actually helps you to factor and keep your numbers straight.

Factoring By Grouping: Steps, Verification & Examples

12. Factoring By Grouping: Steps, Verification & Examples

How do you factor an expression if all the terms don't share a common factor? Grouping! In this lesson, we'll learn how to use grouping to help factor expressions.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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Other Chapters

Other chapters within the MTLE Middle Level Mathematics: Practice & Study Guide course

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