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Equations with Variables on Both Sides: 20-7x=6x-6

Let's Solve Multi-Step Linear Equations: Step-by-Step Guide for Kids!

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Let's Solve Multi-Step Linear Equations: Step-by-Step Guide for Kids!
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Chelsea

@zuncho

·

625 Followers

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Multi-step equations mastery guide breaks down essential techniques for solving various types of linear equations, from basic to complex.

Key points:

  • Understanding inverse operations is fundamental for solving one-step equations
  • Two-step equations require systematic approach of removing constants then coefficients
  • Combining like terms and using distributive property are crucial for more complex equations
  • Methods for solving equations with variables on both sides
  • Applications to real-world problems and geometric concepts

6/26/2023

201

I can solve one and two-step equations vocabulary One-Step Equations Two-Step Equations 1. 3. When solving equations, you will need to use i

View

Two-Step Equations

This section focuses on how to solve 2-step equations with a clear, step-by-step approach:

  1. Draw a line through the equal sign to show balance
  2. Undo the addition or subtraction to remove the constant term
  3. Undo the multiplication or division to remove the coefficient

Example: Solving a two-step equation: 4x - 8 = 16 4x = 24 (Add 8 to both sides) x = 6 (Divide both sides by 4)

The page provides numerous examples of two-step equations examples with answers, allowing students to practice and reinforce their understanding of the solving process.

Highlight: Remember to perform operations in the correct order to maintain the equation's balance.

I can solve one and two-step equations vocabulary One-Step Equations Two-Step Equations 1. 3. When solving equations, you will need to use i

View

Multi-Step Equations with Variables on One Side

This page introduces more complex equations, focusing on how to solve multi-step linear equations with variables on one side of the equation.

Definition: Like terms are terms that contain the same letter variables raised to the same powers. Only the coefficients may differ.

Example: Combining like terms: 7x + 2x - 5 + x - 2x + 9 = 45 8x + 4 = 45

The page also covers the distributive property, an essential technique for simplifying expressions within equations.

Highlight: To distribute, multiply the term outside the parentheses by each term inside the parentheses.

Example: Applying the distributive property: 3(x - 5) = 3x - 15

Several practice problems are provided, offering multi-step equations examples with answers to help students master these techniques.

I can solve one and two-step equations vocabulary One-Step Equations Two-Step Equations 1. 3. When solving equations, you will need to use i

View

Multi-Step Equations with Variables on One Side (Continued)

This page delves deeper into solving multi-step equations worksheets with answers, focusing on more complex problems and their applications.

Example: Solving a multi-step equation: 2(5 - x) = 9 10 - 2x = 9 -2x = -1 x = 1/2

The page also demonstrates how to apply these equation-solving skills to geometry problems, such as finding supplementary angles.

Highlight: In supplementary angles, the sum of the two angles is always 180 degrees.

Example: Solving for supplementary angles: x + 4(x + 3) = 17 5x + 12 = 17 5x = 5 x = 1

I can solve one and two-step equations vocabulary One-Step Equations Two-Step Equations 1. 3. When solving equations, you will need to use i

View

Solving Equations with Variables on Both Sides

This section introduces how to solve multi-step equations with two variables on different sides of the equal sign.

The page presents an exploratory activity to help students understand the concept visually before moving on to algebraic solutions.

Highlight: Steps for solving equations with variables on both sides:

  1. Move all variables to the same side using inverse operations
  2. Add or subtract constants to isolate the variable term
  3. Multiply or divide to solve for the variable

Example: Solving an equation with variables on both sides: 3x + 1 = 2x + 7 x + 1 = 7 x = 6

The page provides several practice problems, serving as solving multi-step equations worksheets with answers to reinforce the concept.

I can solve one and two-step equations vocabulary One-Step Equations Two-Step Equations 1. 3. When solving equations, you will need to use i

View

Analyzing Solution Strategies

This final page compares different approaches to solving equations with variables on both sides, encouraging students to think critically about solution strategies.

Example: Two different approaches to solving 5x + 3 = 2x + 5: Teddy's approach: 5x + 3 = 2x + 5 3 = -3x + 5 -2 = -3x x = 2/3

Topher's approach: 5x + 3 = 2x + 5 3x + 3 = 5 3x = 2 x = 2/3

Highlight: Different solution strategies can lead to the same correct answer. Students should choose the method they find most comfortable and efficient.

The page concludes with additional practice problems, including applications to geometry concepts like alternate interior angles and corresponding angles.

I can solve one and two-step equations vocabulary One-Step Equations Two-Step Equations 1. 3. When solving equations, you will need to use i

View

Page 6 compares different solution strategies for equations with variables on both sides.

Example: For equation 5x + 3 = 2x + 5, two valid approaches are shown:

  1. Teddy's method: Subtracting 5x first
  2. Topher's method: Subtracting 2x first

Highlight: Different solution strategies can be equally valid, though some may be more efficient.

I can solve one and two-step equations vocabulary One-Step Equations Two-Step Equations 1. 3. When solving equations, you will need to use i

View

Solving Linear Equations

This page introduces the basics of solving one-step and two-step equations, emphasizing the importance of balance in equation solving.

Definition: One-step equations require a single operation to solve, while two-step equations involve two operations.

Highlight: When solving equations, use inverse operations to isolate the variable:

  • Addition is the inverse of subtraction
  • Multiplication is the inverse of division

Example: Solving a one-step equation: 3a = 12 a = 12 ÷ 3 a = 4

Vocabulary:

  • Coefficient: The number multiplied by a variable (e.g., 3 in 3x)
  • Constant: A fixed numerical value in an equation (e.g., 5 in x + 5 = 10)

The page also provides several examples of how to solve multi-step linear equations for beginners, demonstrating the step-by-step process for both one-step and two-step equations.

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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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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

/

Arithmetic

/

Equations with One Unknown

/

Equations with Variables on Both Sides

/

Equations with Variables on Both Sides: 20-7x=6x-6

Let's Solve Multi-Step Linear Equations: Step-by-Step Guide for Kids!

user profile picture

Chelsea

@zuncho

·

625 Followers

Follow

Multi-step equations mastery guide breaks down essential techniques for solving various types of linear equations, from basic to complex.

Key points:

  • Understanding inverse operations is fundamental for solving one-step equations
  • Two-step equations require systematic approach of removing constants then coefficients
  • Combining like terms and using distributive property are crucial for more complex equations
  • Methods for solving equations with variables on both sides
  • Applications to real-world problems and geometric concepts

6/26/2023

201

 

8th

 

Arithmetic

16

I can solve one and two-step equations vocabulary One-Step Equations Two-Step Equations 1. 3. When solving equations, you will need to use i

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

Two-Step Equations

This section focuses on how to solve 2-step equations with a clear, step-by-step approach:

  1. Draw a line through the equal sign to show balance
  2. Undo the addition or subtraction to remove the constant term
  3. Undo the multiplication or division to remove the coefficient

Example: Solving a two-step equation: 4x - 8 = 16 4x = 24 (Add 8 to both sides) x = 6 (Divide both sides by 4)

The page provides numerous examples of two-step equations examples with answers, allowing students to practice and reinforce their understanding of the solving process.

Highlight: Remember to perform operations in the correct order to maintain the equation's balance.

I can solve one and two-step equations vocabulary One-Step Equations Two-Step Equations 1. 3. When solving equations, you will need to use i

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

Multi-Step Equations with Variables on One Side

This page introduces more complex equations, focusing on how to solve multi-step linear equations with variables on one side of the equation.

Definition: Like terms are terms that contain the same letter variables raised to the same powers. Only the coefficients may differ.

Example: Combining like terms: 7x + 2x - 5 + x - 2x + 9 = 45 8x + 4 = 45

The page also covers the distributive property, an essential technique for simplifying expressions within equations.

Highlight: To distribute, multiply the term outside the parentheses by each term inside the parentheses.

Example: Applying the distributive property: 3(x - 5) = 3x - 15

Several practice problems are provided, offering multi-step equations examples with answers to help students master these techniques.

I can solve one and two-step equations vocabulary One-Step Equations Two-Step Equations 1. 3. When solving equations, you will need to use i

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

Multi-Step Equations with Variables on One Side (Continued)

This page delves deeper into solving multi-step equations worksheets with answers, focusing on more complex problems and their applications.

Example: Solving a multi-step equation: 2(5 - x) = 9 10 - 2x = 9 -2x = -1 x = 1/2

The page also demonstrates how to apply these equation-solving skills to geometry problems, such as finding supplementary angles.

Highlight: In supplementary angles, the sum of the two angles is always 180 degrees.

Example: Solving for supplementary angles: x + 4(x + 3) = 17 5x + 12 = 17 5x = 5 x = 1

I can solve one and two-step equations vocabulary One-Step Equations Two-Step Equations 1. 3. When solving equations, you will need to use i

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

Solving Equations with Variables on Both Sides

This section introduces how to solve multi-step equations with two variables on different sides of the equal sign.

The page presents an exploratory activity to help students understand the concept visually before moving on to algebraic solutions.

Highlight: Steps for solving equations with variables on both sides:

  1. Move all variables to the same side using inverse operations
  2. Add or subtract constants to isolate the variable term
  3. Multiply or divide to solve for the variable

Example: Solving an equation with variables on both sides: 3x + 1 = 2x + 7 x + 1 = 7 x = 6

The page provides several practice problems, serving as solving multi-step equations worksheets with answers to reinforce the concept.

I can solve one and two-step equations vocabulary One-Step Equations Two-Step Equations 1. 3. When solving equations, you will need to use i

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

Analyzing Solution Strategies

This final page compares different approaches to solving equations with variables on both sides, encouraging students to think critically about solution strategies.

Example: Two different approaches to solving 5x + 3 = 2x + 5: Teddy's approach: 5x + 3 = 2x + 5 3 = -3x + 5 -2 = -3x x = 2/3

Topher's approach: 5x + 3 = 2x + 5 3x + 3 = 5 3x = 2 x = 2/3

Highlight: Different solution strategies can lead to the same correct answer. Students should choose the method they find most comfortable and efficient.

The page concludes with additional practice problems, including applications to geometry concepts like alternate interior angles and corresponding angles.

I can solve one and two-step equations vocabulary One-Step Equations Two-Step Equations 1. 3. When solving equations, you will need to use i

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 compares different solution strategies for equations with variables on both sides.

Example: For equation 5x + 3 = 2x + 5, two valid approaches are shown:

  1. Teddy's method: Subtracting 5x first
  2. Topher's method: Subtracting 2x first

Highlight: Different solution strategies can be equally valid, though some may be more efficient.

I can solve one and two-step equations vocabulary One-Step Equations Two-Step Equations 1. 3. When solving equations, you will need to use i

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

Solving Linear Equations

This page introduces the basics of solving one-step and two-step equations, emphasizing the importance of balance in equation solving.

Definition: One-step equations require a single operation to solve, while two-step equations involve two operations.

Highlight: When solving equations, use inverse operations to isolate the variable:

  • Addition is the inverse of subtraction
  • Multiplication is the inverse of division

Example: Solving a one-step equation: 3a = 12 a = 12 ÷ 3 a = 4

Vocabulary:

  • Coefficient: The number multiplied by a variable (e.g., 3 in 3x)
  • Constant: A fixed numerical value in an equation (e.g., 5 in x + 5 = 10)

The page also provides several examples of how to solve multi-step linear equations for beginners, demonstrating the step-by-step process for both one-step and two-step equations.

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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