Copyright

Ch 21: GACE Middle Grades Math: Basic Algebraic Expressions

About This Chapter

Use this chapter to prepare for questions about the components, properties and functions of algebraic expressions on the GACE Middle Grades Mathematics exam.

GACE Middle Grades Mathematics: Basic Algebraic Expressions - Chapter Summary

Complete the activities of this chapter to improve your understanding of variables and the algebraic operations used to find and express them. Watch the lesson videos of this chapter and follow along with our professional instructors to prepare yourself for related questions on the Georgia Assessments for the Certification of Educators (GACE) Middle Grades Mathematics exam about:

  • Relationships expressed as algebraic expressions
  • Evaluating algebraic expressions
  • Algebraic expression properties
  • Combining like terms

If you think you could benefit from an alternative way of reviewing the information presented in these videos, try reading over the lesson transcripts that present the same material of the videos but in an easy to read written format. Ensure you retain the information of this chapter by completing the lesson worksheets. Also take the lesson quizzes to find topics you haven't mastered, then improve your mastery over these topics by returning to the videos or lesson transcripts.

GACE Middle Grades Mathematics: Basic Algebraic Expressions Objectives

The GACE Middle Grades Mathematics test is a computer-administered certification exam, composed of 45 multiple-choice questions. On test day you will be given 2 hours to complete these questions. Sixty-five percent of these questions will belong to the subarea of arithmetic and algebra. Ensure you will be able to answer questions with algebraic expressions by completing the lesson videos, worksheets and quizzes of this chapter.

7 Lessons in Chapter 21: GACE Middle Grades Math: 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.

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

Earning College Credit

Did you know… We have over 160 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Other Chapters

Other chapters within the GACE Middle Grades Mathematics (013): Practice & Study Guide course

Support