# Ch 10: Reviewing Basic Algebra Concepts

### About This Chapter

## Reviewing Basic Algebra Concepts - Chapter Summary

Build a deeper understanding of algebraic equations and expressions as well as definitions of relevant terms such as variable and exponent by reviewing this chapter. Each lesson provides expert instruction and detailed examples to simplify these basic concepts.

These lessons provide you with the opportunity to learn how to solve algebraic problems, apply formulas and understand how to solve practice problems to ensure that you fully grasp each of the concepts discussed in this chapter. After you have completed your review, you should be able to:

- Explain what variables and exponents are
- Identify common algebraic equations
- Solve simultaneous equations, linear equations in two variables, linear inequalities and quadratic equations by factoring
- Write equivalent expressions and simplify algebraic expressions
- Use the quadratic formula
- Describe how to estimate in math
- Relate details about functions
- Discuss range and domain in a function

Short video and text lessons can be accessed at any time, on any device, so studying is self-paced and conforms easily to your schedule. Print lesson transcripts to create handy reference materials, if desired. Relatabe instructors make learning this material as easy as possible, and each one can be contacted with any questions via a short online form. Test your understanding of each concept using self-assessment quizzes and track your progress through this chapter on your Dashboard.

### 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.

### 2. Common Algebraic Equations: Linear, Quadratic, Polynomial, and More

Watch this video lesson to see the kinds of equations that you will come across most often in algebra. Learn to distinguish them by just looking for the identifying components of each equation.

### 3. How to Solve Simultaneous Equations

In this lesson, you'll learn what simultaneous equations are and discover methods for solving them, including graphing, the elimination method and the substitution method.

### 4. 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.

### 5. Writing Equivalent Expressions: Definition & Examples

In this lesson, you'll learn what an algebraic expression is and what makes two algebraic expressions equivalent. You'll also see some examples of equivalent expressions.

### 6. How to Solve a System of Linear Equations in Two Variables

Watch this video lesson to learn how you can solve a system of linear equations in two variables by using the substitution method. Learn how easy it is to use on any linear system in two variables.

### 7. How to Solve a Quadratic Equation by Factoring

If your favorite video game, 'Furious Fowls,' gave you the quadratic equation for each shot you made, would you be able to solve the equation to make sure every one hit its target? If not, you will after watching this video!

### 8. How to Use the Quadratic Formula to Solve a Quadratic Equation

When solving a quadratic equation by factoring doesn't work, the quadratic formula is here to save the day. Learn what it is and how to use it in this lesson.

### 9. What Are Exponents? - Definition, Properties & Rules

Exponents are the mathematical shorthand that tells us to multiply the same number by itself for a specified number of times. This lesson will not only explain how the exponent works but also discuss the seven distinct properties, or rules, that govern its use.

### 10. Linear Inequality: Solving, Graphing & Problems

If you can solve linear equations, you can solve linear inequalities. In this lesson, you will learn how similar the solving processes are. You will also learn the notations you need to use when graphing linear inequalities.

### 11. How to Estimate in Math: Definition & Concept

Learn how to use estimate values in this lesson. It can help you answer math problems that use more complicated numbers and even make it easier to split a check at the restaurant next time you are out with friends!

### 12. Functions: Identification, Notation & Practice Problems

A function is simply a rule that takes one number and turns it into another. But some special conditions must apply for it to be a true mathematical function. Learn about those conditions and how we write functions here!

### 13. What Is Domain and Range in a Function?

The domain and range are the possible outputs and inputs of a function. In this lesson, learn about what might restrict the domain and how to figure out the domain and range from a graph.

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### Other Chapters

Other chapters within the GMAT Test: Online Prep and Review course

- GMAT: About the Test
- GMAT Analytical Writing Assessment Overview & Best Practices
- Writing Skills for Exam Takers
- GMAT Quantitative Section: About the Quantitative Section
- GMAT Integrated Reasoning: Types of Questions & Overview
- Problem Solving for Exam Takers
- Fundamentals of Arithmetic for the GMAT
- Advanced Arithmetic Key Concepts
- Mathematical Patterns
- Reviewing Basic Geometry Concepts
- Strategies for Solving Math Word Problems
- Numerical Ability: Reasoning & Data Interpretation
- Interpreting Data & Statistics
- Answering Data Sufficiency GMAT Questions
- GMAT Verbal Section
- Test-Taking Strategies for the GMAT
- Critical Reasoning for Test-Taking
- Sentence Correction Techniques
- English Usage Conventions in Writing
- GMAT Test Flashcards