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

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Chelsea

6/26/2023

Arithmetic

Solving Linear Equations

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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!

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

242

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 Add8tobothsidesAdd 8 to both sides x = 6 Dividebothsidesby4Divide 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: 3x−5x - 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: 25−x5 - 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 + 4x+3x + 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.

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Subjects

Arithmetic

Equations with One Unknown

Equations with Variables on Both Sides

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

 

Arithmetic

•

242

•

Jun 26, 2023

•

7 pages

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

user profile picture

Chelsea

@zuncho

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... Show more

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 contentIt's free!

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Improve your grades

Join milions of students

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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 Add8tobothsidesAdd 8 to both sides x = 6 Dividebothsidesby4Divide 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 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

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: 3x−5x - 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 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

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: 25−x5 - 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 + 4x+3x + 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 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

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 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

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 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 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 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

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.,3in3xe.g., 3 in 3x
  • Constant: A fixed numerical value in an equation e.g.,5inx+5=10e.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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Paul T

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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

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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