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Ch 10: Operations with Basic Algebraic Expressions

About This Chapter

Our video lessons show you how to solve math problems involving operations with basic algebraic expressions. Learn the key terms and concepts of algebraic expressions and operations, watch our instructors carry out examples, then practice these skills.

Operations with Basic Algebraic Expressions - Chapter Summary

This chapter focuses on defining terms in algebra, expressing algebraic relationships and simplifying algebraic expressions. After viewing each lesson in this chapter, you will be able to:

  • Define a variable in algebra
  • Evaluate simple algebraic expressions
  • Understand the commutative and associative properties of operations
  • Combine like terms in algebraic expressions
  • Simplify algebraic expressions containing negative numbers

Our video lessons, taught by expert instructors, are less than 10 minutes long a piece. The lessons simplify the learning process by breaking down complex subjects into smaller, easier-to-tackle components. You can watch the videos as many times as necessary or use the timeline to jump to specific sections of a video covering only the main points you need to review. Take lesson quizzes and the chapter exam to ensure you have mastered the subject matter.

8 Lessons in Chapter 10: Operations with Basic 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.

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.

Negative Signs and Simplifying Algebraic Expressions

8. 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.
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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