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Fun Worksheets for Solving Equations with Variables on Both Sides!

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Fun Worksheets for Solving Equations with Variables on Both Sides!
user profile picture

Eva Maxy

@vaaxy_jdcq

·

2 Followers

Follow

Top of the class Student

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

105

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: 3(2x + 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 (understood 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: 6(1 + 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 (GCF) 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.

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 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: (0.2)² = 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.

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.

Ranked #1 Education App

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

Fun Worksheets for Solving Equations with Variables on Both Sides!

user profile picture

Eva Maxy

@vaaxy_jdcq

·

2 Followers

Follow

Top of the class Student

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

105

 

8th

 

Arithmetic

12

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 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 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: 3(2x + 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.

Sign up for free!

Learn faster and better with thousand of available study notes

App

By signing up you accept Terms of Service and Privacy Policy

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 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 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 (understood 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.

Sign up for free!

Learn faster and better with thousand of available study notes

App

By signing up you accept Terms of Service and Privacy Policy

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 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 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.

Sign up for free!

Learn faster and better with thousand of available study notes

App

By signing up you accept Terms of Service and Privacy Policy

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 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 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.

Sign up for free!

Learn faster and better with thousand of available study notes

App

By signing up you accept Terms of Service and Privacy Policy

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 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 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.

Sign up for free!

Learn faster and better with thousand of available study notes

App

By signing up you accept Terms of Service and Privacy Policy

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 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 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.

Sign up for free!

Learn faster and better with thousand of available study notes

App

By signing up you accept Terms of Service and Privacy Policy

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 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 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: 6(1 + 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.

Sign up for free!

Learn faster and better with thousand of available study notes

App

By signing up you accept Terms of Service and Privacy Policy

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 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 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 (GCF) 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.

Sign up for free!

Learn faster and better with thousand of available study notes

App

By signing up you accept Terms of Service and Privacy Policy

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 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 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.

Sign up for free!

Learn faster and better with thousand of available study notes

App

By signing up you accept Terms of Service and Privacy Policy

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 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 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: (0.2)² = 0.04

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

Sign up for free!

Learn faster and better with thousand of available study notes

App

By signing up you accept Terms of Service and Privacy Policy

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.

Ranked #1 Education App

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