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Ch 14: Elementary Math: Algebraic Concepts

About This Chapter

Review elementary algebra concepts with this useful study guide chapter. These simple lessons and practice quizzes offer you a quick way to refresh your math knowledge for the classroom or an upcoming teacher certification test.

Elementary Math: Algebraic Concepts - Chapter Summary

In this chapter, you'll review elementary math lessons that discuss foundational algebraic concepts. As you work through these simple lessons, you'll review the steps that are involved in expressing relationships as algebraic expressions, evaluating math formulas, writing numerical expressions and solving a different types of algebra problems. When you're finished with the chapter, you'll know how to teach elementary students about:

  • Solving algebraic expressions and equations
  • Combining like terms in algebraic expressions
  • Finding/classifying arithmetic sequences
  • Defining and writing linear equations
  • Using linear equations to solve math problems
  • Explaining the concept of an inequality
  • Graphing one-variable inequalities

To practice solving a variety of algebra problems, try the chapter's lesson quizzes and comprehensive multiple-choice exam. Each video lesson comes with a printable transcript that's useful for taking notes or following along with the lesson narrator. Our experts are happy to answer any questions you may have about the material, so don't hesitate to reach out! The chapter is also available online around-the-clock and accessible on any device that has an Internet connection.

12 Lessons in Chapter 14: Elementary Math: Algebraic Concepts
Test your knowledge with a 30-question chapter practice test
How to Write a Numerical Expression? - Definition & Examples

1. How to Write a Numerical Expression? - Definition & Examples

In this lesson, you will be given the definition of a numerical expression and learn how to write one. You will be provided with plenty of examples to clearly illustrate this important mathematical concept.

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.

Combining Like Terms in Algebraic Expressions

4. 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.

Solving Algebraic Equations: Definition & Examples

5. Solving Algebraic Equations: Definition & Examples

If you shouted, 'Hey! Why are there letters in my math?' the first time you saw algebra, then you definitely want to check out this lesson where we'll learn why we use letters for mathematics. (Hint: it isn't to drive you crazy.)

Understanding and Evaluating Math Formulas

6. Understanding and Evaluating Math Formulas

With all the formulas out there, how do you know which one to pick? And how do you read formulas anyways? Watch this video lesson and you will find the answers to these questions.

How to Find and Classify an Arithmetic Sequence

7. 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!

What is a Linear Equation?

8. What is a Linear Equation?

Most cars won't be able to run for more than 250,000 miles, so how much longer will your car live? Linear Equations are the most basic kind of algebraic function and can help you answer questions exactly like this. Learn about what they look like, how they come up in your life and why they are powerful tools.

How to Write a Linear Equation

9. How to Write a Linear Equation

Simply knowing how to take a linear equation and graph it is only half of the battle. You should also be able to come up with the equation if you're given the right information.

Problem solving using Linear Equations

10. Problem solving using Linear Equations

From sale prices to trip distances, many real life problems can be solved using linear equations. In this lesson, we'll practice translating word problems into linear equations, then solving the problems.

What is an Inequality?

11. What is an Inequality?

Deciding how to spend your money can be a tricky thing. Should you save it, invest it, or enjoy it? Learn how inequalities can help you make your decision!

How to Solve and Graph One-Variable Inequalities

12. How to Solve and Graph One-Variable Inequalities

In this lesson, we will learn that solving inequalities is very similar to solving equations, but the solutions to inequalities are not so similar. Learn how to graph these solutions to better understand inequalities.

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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