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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!
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Eva Maxy

@vaaxy_jdcq

·

2 Followers

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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

99

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 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 1: Introduction to Solving Equations

This page introduces the concept of solving equations with variables on both sides. It covers the following key points:

  • Basic equation-solving techniques
  • Simplifying expressions within equations
  • Using inverse operations to isolate variables

Vocabulary: Expression - A mathematical phrase that combines numbers, variables, and operations.

Example: 5(y + 3) - 6 = 5y + 15 - 6 = 5y + 9

Highlight: The page emphasizes the importance of simplifying expressions before solving equations.

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.

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 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 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 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 12: Least Common Multiple (LCM)

This page introduces the concept of least common multiple and its applications in equation solving. It covers:

  • Definition of multiples and common multiples
  • Methods for finding the LCM of two or more numbers

Definition: The least common multiple (LCM) is the smallest shared multiple of two or more numbers.

Example: LCM of 4, 5, and 15 is 60

Highlight: LCM is crucial for working with fractions in equations, especially when dealing with solving 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 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.

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

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Download in

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

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Average App Rating

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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

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

99

 

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

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

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

Page 1: Introduction to Solving Equations

This page introduces the concept of solving equations with variables on both sides. It covers the following key points:

  • Basic equation-solving techniques
  • Simplifying expressions within equations
  • Using inverse operations to isolate variables

Vocabulary: Expression - A mathematical phrase that combines numbers, variables, and operations.

Example: 5(y + 3) - 6 = 5y + 15 - 6 = 5y + 9

Highlight: The page emphasizes the importance of simplifying expressions before solving equations.

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

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.

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

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

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

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

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

Page 12: Least Common Multiple (LCM)

This page introduces the concept of least common multiple and its applications in equation solving. It covers:

  • Definition of multiples and common multiples
  • Methods for finding the LCM of two or more numbers

Definition: The least common multiple (LCM) is the smallest shared multiple of two or more numbers.

Example: LCM of 4, 5, and 15 is 60

Highlight: LCM is crucial for working with fractions in equations, especially when dealing with solving 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

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.

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

13 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