Subjects

Algebra 2

Rational & Root Equations

Extraneous Solutions

Easy Steps to Solve Rational Equations

Name: Knowunity
Brand: Knowunity

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Ari

@ari_beauty.17

1,747 Followers

Solving rational equations step by step is a systematic process that involves finding the LCD and checking for extraneous solutions. This comprehensive guide covers:

Understanding how to solve equations containing rational expressions
Learning to identify and eliminate extraneous solutions in rational equations
Mastering the process of finding and using the LCD in rational equations
Working through various examples of increasing complexity
Verifying solutions by checking denominators

6/7/2023

ala
58
4.4-Solving Rational Equations
- rational equation → an equation that contains one or more rational expressions.
• When solving ratio

View

Page 2: Practice Problems and Applications

This page provides a comprehensive worksheet with various rational equation problems for practice. The problems range from basic to complex applications of the concepts.

Highlight: The worksheet includes 15 different problems, each requiring students to:

Show complete solution steps
Identify and check for extraneous solutions
Apply the LCD method consistently

Example: Notable problems include:

Equations with multiple fractions
Problems involving quadratic expressions
Cases where extraneous solutions must be identified

Vocabulary:

Solution verification: The process of checking whether answers are valid in the original equation
Work shown: Complete documentation of all algebraic steps taken to reach the solution

View

Page 1: Solving Rational Equations - Core Concepts

This page introduces the fundamental concepts and steps for solving rational equations. The content focuses on the systematic approach needed to solve these equations correctly.

Definition: A rational equation is an equation that contains one or more rational expressions.

Highlight: The four essential steps for solving rational equations are:

Factor denominators and find LCD
Multiply both sides by LCD
Solve for the variable
Check solutions for extraneous cases

Example: The page demonstrates several solved problems, including:

Simple equations with single fractions
Equations with multiple rational expressions
Problems requiring factoring and LCD identification

Vocabulary:

LCD (Least Common Denominator): The smallest common multiple of all denominators
Extraneous solution: A solution that makes the denominator zero in the original equation

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Download in

Google Play

Download in

App Store

Knowunity is the # 1 ranked education app in five European countries

4.9+

Average App Rating

15 M

Students use Knowunity

#1

In Education App Charts in 12 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Love this App ❤️, I use it basically all the time whenever I'm studying

Subjects

Algebra 2

Rational & Root Equations

Extraneous Solutions

Easy Steps to Solve Rational Equations

Ari

@ari_beauty.17

1,747 Followers

Solving rational equations step by step is a systematic process that involves finding the LCD and checking for extraneous solutions. This comprehensive guide covers:

Understanding how to solve equations containing rational expressions
Learning to identify and eliminate extraneous solutions in rational equations
Mastering the process of finding and using the LCD in rational equations
Working through various examples of increasing complexity
Verifying solutions by checking denominators

6/7/2023

9th/10th

Algebra 2

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Page 2: Practice Problems and Applications

This page provides a comprehensive worksheet with various rational equation problems for practice. The problems range from basic to complex applications of the concepts.

Highlight: The worksheet includes 15 different problems, each requiring students to:

Show complete solution steps
Identify and check for extraneous solutions
Apply the LCD method consistently

Example: Notable problems include:

Equations with multiple fractions
Problems involving quadratic expressions
Cases where extraneous solutions must be identified

Vocabulary:

Solution verification: The process of checking whether answers are valid in the original equation
Work shown: Complete documentation of all algebraic steps taken to reach the solution

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 1: Solving Rational Equations - Core Concepts

This page introduces the fundamental concepts and steps for solving rational equations. The content focuses on the systematic approach needed to solve these equations correctly.

Definition: A rational equation is an equation that contains one or more rational expressions.

Highlight: The four essential steps for solving rational equations are:

Factor denominators and find LCD
Multiply both sides by LCD
Solve for the variable
Check solutions for extraneous cases

Example: The page demonstrates several solved problems, including:

Simple equations with single fractions
Equations with multiple rational expressions
Problems requiring factoring and LCD identification

Vocabulary:

LCD (Least Common Denominator): The smallest common multiple of all denominators
Extraneous solution: A solution that makes the denominator zero in the original equation

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Download in

Google Play

Download in

App Store

4.9+

Average App Rating

15 M

Students use Knowunity

#1

In Education App Charts in 12 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Easy Steps to Solve Rational Equations

Page 2: Practice Problems and Applications

Page 1: Solving Rational Equations - Core Concepts

Similar Content

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

4.9+

15 M

#1

950 K+

Still not sure? Look at what your fellow peers are saying...

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

The application is very simple and well designed. So far I have found what I was looking for :D

Love this App ❤️, I use it basically all the time whenever I'm studying

Easy Steps to Solve Rational Equations

Sign up to see the content. It's free!

Page 2: Practice Problems and Applications

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Page 1: Solving Rational Equations - Core Concepts

Similar Content

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

4.9+

15 M

#1

950 K+

Still not sure? Look at what your fellow peers are saying...

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

The application is very simple and well designed. So far I have found what I was looking for :D

Love this App ❤️, I use it basically all the time whenever I'm studying