Ch 4: Solving Algebraic Equations Overview

About This Chapter

This chapter highlights methods for solving algebraic equations. You will be presented with material that discusses the process of turning words into algebraic expressions. Explore the necessary steps for solving radical equations and more.

Solving Algebraic Equations Overview - Chapter Summary

This Solving Algebraic Equations Overview chapter has been developed to help you increase your understanding in this area. You will get to know about the use of addition and multiplication for equation solving, discover techniques for solving equations when they have infinite solutions or no solution, and learn to solve word problems with one-step algebra equations. Other lesson topics include:

  • Linear, quadratic, polynomial algebraic equations and more
  • Translations and solutions for one-step equations
  • Like terms on one side of an equation
  • How to solve an equation that contains parentheses
  • Solving multiple-step equations
  • Radical equation solving with two radical terms
  • Solutions for perfectly cubed equations

We broke this overview up into 5-10 minute long video lessons to allow you to easily log in using a mobile device and complete a lesson anytime you have a few minutes available. We have a feature that allows you to submit questions directly to a Study.com expert whenever you need to.

13 Lessons in Chapter 4: Solving Algebraic Equations Overview
Test your knowledge with a 30-question chapter practice test
Translating Words to Algebraic Expressions

1. Translating Words to Algebraic Expressions

When it comes to word problems, the easiest way to solve them is to look for keywords and change them into math symbols. Watch this video lesson to find out what keywords you should look for and what math symbols they represent.

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.

Defining, Translating, & Solving One-Step Equations

3. Defining, Translating, & Solving One-Step Equations

Watch this video lesson to learn how you can write a simple math equation when you are given a word problem. Learn how to translate words into math symbols. Learn the shortcuts to remember.

Solving Equations Using Both Addition and Multiplication Principles

4. Solving Equations Using Both Addition and Multiplication Principles

Most times in algebra, to solve for your variable, you will need to perform more than one operation to get your answer. Watch this video lesson to learn the proper steps to take to solve these equations.

Collecting Like Terms On One Side of an Equation

5. Collecting Like Terms On One Side of an Equation

When you are using algebra to solve your problems, one of your biggest and most often used methods is that of collecting like terms. Watch this video lesson to see how it is done.

Solving Equations Containing Parentheses

6. Solving Equations Containing Parentheses

When we have parentheses in our equations it changes the way we solve them. Now we have an added step to do to remove those parentheses. Watch this video lesson to learn how it is done.

How to Solve One-Step Algebra Equations in Word Problems

7. How to Solve One-Step Algebra Equations in Word Problems

Word problems may be considered the most evil math invention ever, but never fear! Just watch this video lesson and you will know how to methodically translate these word problems into simple math and then to solve it.

How to Solve Equations with Multiple Steps

8. How to Solve Equations with Multiple Steps

In algebra, when you want to solve an equation for a particular variable, you will need to perform multiple steps that include adding, subtracting, multiplying, and dividing. Watch this video lesson to learn the order you need to do these steps.

How to Solve Multi-Step Algebra Equations in Word Problems

9. How to Solve Multi-Step Algebra Equations in Word Problems

After watching this video lesson, you will be able to solve word problems like a pro. Learn how to setup your problem, write your equations and then solve your equations to find your answer.

Solving Equations with Infinite Solutions or No Solutions

10. Solving Equations with Infinite Solutions or No Solutions

In algebra, there are two scenarios that give us interesting results. Watch this video lesson to learn how you can distinguish problems that have no answers and problems that have an infinite number of answers.

Solving Radical Equations: Steps and Examples

11. Solving Radical Equations: Steps and Examples

Solving radical equations is not any more difficult than solving other algebraic equations. This lesson will show you how to solve equations containing a square root and give some real-world examples.

Solving Radical Equations with Two Radical Terms

12. Solving Radical Equations with Two Radical Terms

Solving equations with two radical terms takes some patience and care, but it really is not difficult. This lesson will show you the steps to solve these more complicated equations plus give you some examples to follow.

How to Solve Perfectly Cubed Equations

13. How to Solve Perfectly Cubed Equations

Watch this video lesson so you can identify perfectly cubed equations. Learn about the formula that helps you factor them and then to solve them. See how easy it is to use these formulas.

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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