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Fun Worksheets for Solving Equations with Variables on Both Sides!

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E

Eva Maxy

11/4/2023

Arithmetic

Solving Equations with Variables on Both Sides

Fun Worksheets for Solving Equations with Variables on Both Sides!

This comprehensive guide covers various aspects of solving equations, including solving equations with variables on both sides worksheets PDF and solving multi-step equations with variables on both sides worksheets PDF. It provides step-by-step instructions, examples, and practice problems to help students master these essential algebra skills.

...

11/4/2023

108

A warm up
1. 5 (y + 3)-6.
5y + 15 6 5 -5
SNVT NON
2. 3 (x + 1) + 4 (8 - x) -18
-3x
- 3 +32 - 4 x-18
-7x + 29 - 18
= 7x + 11.
9
5y + 9
p=add

View

Page 2: Solving Equations with Variables on Both Sides

This page delves deeper into solving equations with x on both sides worksheet problems. It covers:

  • Step-by-step process for solving equations with variables on both sides
  • Identifying and handling equations with no solution or infinite solutions

Example: 32x+12x + 1 = 6x Solve by distributing, simplifying, and isolating the variable: 6x + 3 = 6x 3 = 0 This equation has no solution.

Highlight: The page introduces the concept of equations with no solution or infinite solutions, which is crucial for understanding more complex algebraic problems.

A warm up
1. 5 (y + 3)-6.
5y + 15 6 5 -5
SNVT NON
2. 3 (x + 1) + 4 (8 - x) -18
-3x
- 3 +32 - 4 x-18
-7x + 29 - 18
= 7x + 11.
9
5y + 9
p=add

View

Page 3: Mathematical Operations and Vocabulary

This page focuses on essential mathematical vocabulary and operations used in solving equations. It covers:

  • Terms for addition, subtraction, multiplication, and division
  • Definitions of key algebraic concepts

Vocabulary:

  • Coefficient: The number in front of a variable understoodtobe1ifnotwrittenunderstood to be 1 if not written
  • Constant term: A number with no variable
  • Like terms: Terms that share the same variable and exponents

Highlight: Understanding these terms is crucial for effectively solving equations with variables on both sides activity.

A warm up
1. 5 (y + 3)-6.
5y + 15 6 5 -5
SNVT NON
2. 3 (x + 1) + 4 (8 - x) -18
-3x
- 3 +32 - 4 x-18
-7x + 29 - 18
= 7x + 11.
9
5y + 9
p=add

View

Page 4: Prime Factorization and Fractions

This page introduces prime factorization and its application in working with fractions. Key topics include:

  • Writing numbers as products of prime factors
  • Using prime factorization to simplify fractions

Example: Prime factorization of 420 = 2² × 3 × 5 × 7

Highlight: Prime factorization is a fundamental skill for simplifying expressions in equations with variables on both sides.

A warm up
1. 5 (y + 3)-6.
5y + 15 6 5 -5
SNVT NON
2. 3 (x + 1) + 4 (8 - x) -18
-3x
- 3 +32 - 4 x-18
-7x + 29 - 18
= 7x + 11.
9
5y + 9
p=add

View

Page 5: Introduction to Fractions

This page provides an overview of fractions, including:

  • Definition of fractions and mixed numbers
  • Converting between improper fractions and mixed numbers

Definition: A fraction is a numerical quantity that represents a part of a whole, consisting of a numerator and denominator.

Highlight: Understanding fractions is essential for solving multi-step equations with variables on both sides worksheets PDF.

A warm up
1. 5 (y + 3)-6.
5y + 15 6 5 -5
SNVT NON
2. 3 (x + 1) + 4 (8 - x) -18
-3x
- 3 +32 - 4 x-18
-7x + 29 - 18
= 7x + 11.
9
5y + 9
p=add

View

Page 6: Equivalent Fractions

This page focuses on equivalent fractions and their applications in solving equations. It covers:

  • Definition of equivalent fractions
  • Methods for generating equivalent fractions

Example: 1/2 = 2/4 = 3/6 = 4/8

Highlight: Equivalent fractions are crucial for simplifying and solving equations with fractional coefficients.

A warm up
1. 5 (y + 3)-6.
5y + 15 6 5 -5
SNVT NON
2. 3 (x + 1) + 4 (8 - x) -18
-3x
- 3 +32 - 4 x-18
-7x + 29 - 18
= 7x + 11.
9
5y + 9
p=add

View

Page 7: Solving Equations with Fractions

This page demonstrates techniques for solving equations involving fractions. Key points include:

  • Eliminating fractions by multiplying both sides by the least common denominator
  • Solving multi-step equations with fractional coefficients

Example: 3/2x = 7x - 11 Multiply both sides by 2 to eliminate fractions: 3x = 14x - 22

Highlight: This page provides essential skills for solving equations with variables on both sides corbettmaths problems.

A warm up
1. 5 (y + 3)-6.
5y + 15 6 5 -5
SNVT NON
2. 3 (x + 1) + 4 (8 - x) -18
-3x
- 3 +32 - 4 x-18
-7x + 29 - 18
= 7x + 11.
9
5y + 9
p=add

View

Page 8: Complex Equation Solving

This page covers more advanced equation-solving techniques, including:

  • Solving equations with variables on both sides and multiple terms
  • Verifying solutions

Example: 61+5y1 + 5y = 30y - 2 Distribute: 6 + 30y = 30y - 2 Simplify: 6 = -2 This equation has no solution.

Highlight: This page reinforces the importance of checking for no solution or infinite solution scenarios.

A warm up
1. 5 (y + 3)-6.
5y + 15 6 5 -5
SNVT NON
2. 3 (x + 1) + 4 (8 - x) -18
-3x
- 3 +32 - 4 x-18
-7x + 29 - 18
= 7x + 11.
9
5y + 9
p=add

View

Page 9: Greatest Common Factor (GCF)

This page introduces the concept of greatest common factor and its applications. It covers:

  • Definition of common factors and greatest common factor
  • Methods for finding the GCF of two or more numbers

Definition: The greatest common factor GCFGCF is the largest whole number that is a factor of two or more numbers.

Example: GCF of 27, 18, 36, and 45 is 9

Highlight: Understanding GCF is crucial for simplifying expressions in equations with variables on both sides.

A warm up
1. 5 (y + 3)-6.
5y + 15 6 5 -5
SNVT NON
2. 3 (x + 1) + 4 (8 - x) -18
-3x
- 3 +32 - 4 x-18
-7x + 29 - 18
= 7x + 11.
9
5y + 9
p=add

View

Page 10: Fraction Hacks

This page provides useful tricks and shortcuts for working with fractions in equations. It includes various techniques to simplify fraction-related calculations.

Highlight: These fraction hacks can significantly speed up the process of solving equations with variables on both sides answer key problems.

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

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Arithmetic

108

Nov 4, 2023

12 pages

Fun Worksheets for Solving Equations with Variables on Both Sides!

E

Eva Maxy

@vaaxy_jdcq

This comprehensive guide covers various aspects of solving equations, including solving equations with variables on both sides worksheets PDF and solving multi-step equations with variables on both sides worksheets PDF. It provides step-by-step instructions, examples, and practice problems to... Show more

A warm up
1. 5 (y + 3)-6.
5y + 15 6 5 -5
SNVT NON
2. 3 (x + 1) + 4 (8 - x) -18
-3x
- 3 +32 - 4 x-18
-7x + 29 - 18
= 7x + 11.
9
5y + 9
p=add

Sign up to see the contentIt'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 2: Solving Equations with Variables on Both Sides

This page delves deeper into solving equations with x on both sides worksheet problems. It covers:

  • Step-by-step process for solving equations with variables on both sides
  • Identifying and handling equations with no solution or infinite solutions

Example: 32x+12x + 1 = 6x Solve by distributing, simplifying, and isolating the variable: 6x + 3 = 6x 3 = 0 This equation has no solution.

Highlight: The page introduces the concept of equations with no solution or infinite solutions, which is crucial for understanding more complex algebraic problems.

A warm up
1. 5 (y + 3)-6.
5y + 15 6 5 -5
SNVT NON
2. 3 (x + 1) + 4 (8 - x) -18
-3x
- 3 +32 - 4 x-18
-7x + 29 - 18
= 7x + 11.
9
5y + 9
p=add

Sign up to see the contentIt'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 3: Mathematical Operations and Vocabulary

This page focuses on essential mathematical vocabulary and operations used in solving equations. It covers:

  • Terms for addition, subtraction, multiplication, and division
  • Definitions of key algebraic concepts

Vocabulary:

  • Coefficient: The number in front of a variable understoodtobe1ifnotwrittenunderstood to be 1 if not written
  • Constant term: A number with no variable
  • Like terms: Terms that share the same variable and exponents

Highlight: Understanding these terms is crucial for effectively solving equations with variables on both sides activity.

A warm up
1. 5 (y + 3)-6.
5y + 15 6 5 -5
SNVT NON
2. 3 (x + 1) + 4 (8 - x) -18
-3x
- 3 +32 - 4 x-18
-7x + 29 - 18
= 7x + 11.
9
5y + 9
p=add

Sign up to see the contentIt'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 4: Prime Factorization and Fractions

This page introduces prime factorization and its application in working with fractions. Key topics include:

  • Writing numbers as products of prime factors
  • Using prime factorization to simplify fractions

Example: Prime factorization of 420 = 2² × 3 × 5 × 7

Highlight: Prime factorization is a fundamental skill for simplifying expressions in equations with variables on both sides.

A warm up
1. 5 (y + 3)-6.
5y + 15 6 5 -5
SNVT NON
2. 3 (x + 1) + 4 (8 - x) -18
-3x
- 3 +32 - 4 x-18
-7x + 29 - 18
= 7x + 11.
9
5y + 9
p=add

Sign up to see the contentIt'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 5: Introduction to Fractions

This page provides an overview of fractions, including:

  • Definition of fractions and mixed numbers
  • Converting between improper fractions and mixed numbers

Definition: A fraction is a numerical quantity that represents a part of a whole, consisting of a numerator and denominator.

Highlight: Understanding fractions is essential for solving multi-step equations with variables on both sides worksheets PDF.

A warm up
1. 5 (y + 3)-6.
5y + 15 6 5 -5
SNVT NON
2. 3 (x + 1) + 4 (8 - x) -18
-3x
- 3 +32 - 4 x-18
-7x + 29 - 18
= 7x + 11.
9
5y + 9
p=add

Sign up to see the contentIt'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 6: Equivalent Fractions

This page focuses on equivalent fractions and their applications in solving equations. It covers:

  • Definition of equivalent fractions
  • Methods for generating equivalent fractions

Example: 1/2 = 2/4 = 3/6 = 4/8

Highlight: Equivalent fractions are crucial for simplifying and solving equations with fractional coefficients.

A warm up
1. 5 (y + 3)-6.
5y + 15 6 5 -5
SNVT NON
2. 3 (x + 1) + 4 (8 - x) -18
-3x
- 3 +32 - 4 x-18
-7x + 29 - 18
= 7x + 11.
9
5y + 9
p=add

Sign up to see the contentIt'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 7: Solving Equations with Fractions

This page demonstrates techniques for solving equations involving fractions. Key points include:

  • Eliminating fractions by multiplying both sides by the least common denominator
  • Solving multi-step equations with fractional coefficients

Example: 3/2x = 7x - 11 Multiply both sides by 2 to eliminate fractions: 3x = 14x - 22

Highlight: This page provides essential skills for solving equations with variables on both sides corbettmaths problems.

A warm up
1. 5 (y + 3)-6.
5y + 15 6 5 -5
SNVT NON
2. 3 (x + 1) + 4 (8 - x) -18
-3x
- 3 +32 - 4 x-18
-7x + 29 - 18
= 7x + 11.
9
5y + 9
p=add

Sign up to see the contentIt'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 8: Complex Equation Solving

This page covers more advanced equation-solving techniques, including:

  • Solving equations with variables on both sides and multiple terms
  • Verifying solutions

Example: 61+5y1 + 5y = 30y - 2 Distribute: 6 + 30y = 30y - 2 Simplify: 6 = -2 This equation has no solution.

Highlight: This page reinforces the importance of checking for no solution or infinite solution scenarios.

A warm up
1. 5 (y + 3)-6.
5y + 15 6 5 -5
SNVT NON
2. 3 (x + 1) + 4 (8 - x) -18
-3x
- 3 +32 - 4 x-18
-7x + 29 - 18
= 7x + 11.
9
5y + 9
p=add

Sign up to see the contentIt'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 9: Greatest Common Factor (GCF)

This page introduces the concept of greatest common factor and its applications. It covers:

  • Definition of common factors and greatest common factor
  • Methods for finding the GCF of two or more numbers

Definition: The greatest common factor GCFGCF is the largest whole number that is a factor of two or more numbers.

Example: GCF of 27, 18, 36, and 45 is 9

Highlight: Understanding GCF is crucial for simplifying expressions in equations with variables on both sides.

A warm up
1. 5 (y + 3)-6.
5y + 15 6 5 -5
SNVT NON
2. 3 (x + 1) + 4 (8 - x) -18
-3x
- 3 +32 - 4 x-18
-7x + 29 - 18
= 7x + 11.
9
5y + 9
p=add

Sign up to see the contentIt'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 10: Fraction Hacks

This page provides useful tricks and shortcuts for working with fractions in equations. It includes various techniques to simplify fraction-related calculations.

Highlight: These fraction hacks can significantly speed up the process of solving equations with variables on both sides answer key problems.

A warm up
1. 5 (y + 3)-6.
5y + 15 6 5 -5
SNVT NON
2. 3 (x + 1) + 4 (8 - x) -18
-3x
- 3 +32 - 4 x-18
-7x + 29 - 18
= 7x + 11.
9
5y + 9
p=add

Sign up to see the contentIt'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 11: Exponents and Powers

This page focuses on exponents and powers in the context of equation solving. It covers:

  • Basic exponent rules
  • Evaluating expressions with exponents

Example: 0.20.2² = 0.04

Highlight: Understanding exponents is essential for solving more complex equations with variables on both sides.

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

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I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

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Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

Thomas R

iOS user

Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user