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Ch 10: Reviewing Basic Algebra Concepts

About This Chapter

Enhance your understanding of basic algebra functions, equations and problem-solving approaches using the lessons in this chapter. This is a great resource you can use to prepare for math class or college admissions exams.

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.

13 Lessons in Chapter 10: Reviewing Basic Algebra Concepts
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.

Common Algebraic Equations: Linear, Quadratic, Polynomial, and More

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.

How to Solve Simultaneous Equations

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.

Practice Simplifying Algebraic Expressions

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.

Writing Equivalent Expressions: Definition & Examples

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.

How to Solve a System of Linear Equations in Two Variables

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.

How to Solve a Quadratic Equation by Factoring

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!

How to Use the Quadratic Formula to Solve a Quadratic Equation

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.

What Are Exponents? - Definition, Properties & Rules

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.

Linear Inequality: Solving, Graphing & Problems

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.

How to Estimate in Math: Definition & Concept

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!

Functions: Identification, Notation & Practice Problems

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!

What Is Domain and Range in a Function?

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.

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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