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Learn Pre Algebra: Fun Worksheets and Easy Examples!

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Shanmukha Polu

10/10/2023

Arithmetic

Basics of Pre-Algebra - Part 1

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Arithmetic

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Combining like Terms

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Combining like Terms

Learn Pre Algebra: Fun Worksheets and Easy Examples!

Pre-algebra fundamentals explained through step-by-step guides covering equations, like terms, and algebraic expressions. This comprehensive resource helps students master essential pre algebra concepts through detailed examples and clear explanations.

• Covers fundamental topics including two-step equations, combining like terms, and distributing in pre algebra
• Provides detailed explanations of variable expressions and equation solving techniques
• Includes multiple worked examples demonstrating pre algebra examples for better understanding
• Features specialized sections on equations with variables on both sides
• Incorporates key vocabulary and mathematical terminology essential for pre algebra for beginners

...

10/10/2023

753

<h2 id="twostepequations">Two-Step Equations</h2> <p>Equations act like a balance where both sides are equal. To solve for x, the order of

View

Combining Like Terms

This section explores the concept of combining like terms in algebraic expressions, a crucial skill in pre algebra curriculum.

Definition: Like terms are terms that have the exact same variable and exponent.

Vocabulary: A term is a mathematical expression separated by addition or subtraction signs.

Example: In the expression 6x - 3 + 5x + 8, the like terms are 6x and 5x, which combine to 11x.

Highlight: Standard form requires writing terms in alphabetical order with highest exponents first and constants last.

<h2 id="twostepequations">Two-Step Equations</h2> <p>Equations act like a balance where both sides are equal. To solve for x, the order of

View

Distributing in Algebra

This section covers the distributive property, an essential concept in pre algebra 7th grade and beyond.

Definition: Distribution involves multiplying a number outside parentheses by each term inside the parentheses.

Example: For 53x−43x - 4, distribute 5 to get 15x - 20.

Highlight: The distributive property is crucial for simplifying algebraic expressions and solving equations.

<h2 id="twostepequations">Two-Step Equations</h2> <p>Equations act like a balance where both sides are equal. To solve for x, the order of

View

Multi-Step Equations

This section details the process of solving multi-step equations in pre algebra online course format.

Definition: Multi-step equations require three or more steps to solve, including distributing and combining like terms.

Example: Solving -w + 4w+3w + 3 = -12 requires distribution, combining like terms, and then solving.

Highlight: The systematic approach involves distributing first, then combining like terms, and finally solving the resulting equation.

<h2 id="twostepequations">Two-Step Equations</h2> <p>Equations act like a balance where both sides are equal. To solve for x, the order of

View

Equations with Variables on Both Sides

This section explains how to handle equations with variables appearing on both sides of the equal sign.

Definition: These equations contain variables in terms on both sides of the equal sign.

Example: In 3a + 1 = 4a + 9, variables appear on both sides and must be consolidated.

Highlight: The key strategy is to get all variables on one side and all constants on the other.

<h2 id="twostepequations">Two-Step Equations</h2> <p>Equations act like a balance where both sides are equal. To solve for x, the order of

View

Variables on Both Sides (Part 2)

This section continues with advanced concepts regarding equations with variables on both sides.

Definition: Special cases include equations with infinite solutions or no solutions.

Highlight: When the same terms appear on both sides, the equation may have infinite solutions.

Example: In 3x + 8 = 8 + 2x + x, combining like terms helps determine the nature of the solution.

<h2 id="twostepequations">Two-Step Equations</h2> <p>Equations act like a balance where both sides are equal. To solve for x, the order of

View

Variable Expressions

This section covers the translation between words and algebraic expressions.

Vocabulary: Key mathematical terms include sum, product, quotient, and difference.

Example: "7 increased by x" translates to 7 + x.

Highlight: Understanding mathematical vocabulary is crucial for translating word problems into algebraic expressions.

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Subjects

Arithmetic

Combining like Terms

Combining like Terms

 

Arithmetic

•

753

•

Jul 7, 2025

•

7 pages

Learn Pre Algebra: Fun Worksheets and Easy Examples!

user profile picture

Shanmukha Polu

@shanmukha

Pre-algebra fundamentals explained through step-by-step guides covering equations, like terms, and algebraic expressions. This comprehensive resource helps students master essential pre algebra concepts through detailed examples and clear explanations.

• Covers fundamental topics including two-step equations, combining like terms,... Show more

<h2 id="twostepequations">Two-Step Equations</h2> <p>Equations act like a balance where both sides are equal. To solve for x, the order of

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

Combining Like Terms

This section explores the concept of combining like terms in algebraic expressions, a crucial skill in pre algebra curriculum.

Definition: Like terms are terms that have the exact same variable and exponent.

Vocabulary: A term is a mathematical expression separated by addition or subtraction signs.

Example: In the expression 6x - 3 + 5x + 8, the like terms are 6x and 5x, which combine to 11x.

Highlight: Standard form requires writing terms in alphabetical order with highest exponents first and constants last.

<h2 id="twostepequations">Two-Step Equations</h2> <p>Equations act like a balance where both sides are equal. To solve for x, the order of

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

Distributing in Algebra

This section covers the distributive property, an essential concept in pre algebra 7th grade and beyond.

Definition: Distribution involves multiplying a number outside parentheses by each term inside the parentheses.

Example: For 53x−43x - 4, distribute 5 to get 15x - 20.

Highlight: The distributive property is crucial for simplifying algebraic expressions and solving equations.

<h2 id="twostepequations">Two-Step Equations</h2> <p>Equations act like a balance where both sides are equal. To solve for x, the order of

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

This section details the process of solving multi-step equations in pre algebra online course format.

Definition: Multi-step equations require three or more steps to solve, including distributing and combining like terms.

Example: Solving -w + 4w+3w + 3 = -12 requires distribution, combining like terms, and then solving.

Highlight: The systematic approach involves distributing first, then combining like terms, and finally solving the resulting equation.

<h2 id="twostepequations">Two-Step Equations</h2> <p>Equations act like a balance where both sides are equal. To solve for x, the order of

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

Equations with Variables on Both Sides

This section explains how to handle equations with variables appearing on both sides of the equal sign.

Definition: These equations contain variables in terms on both sides of the equal sign.

Example: In 3a + 1 = 4a + 9, variables appear on both sides and must be consolidated.

Highlight: The key strategy is to get all variables on one side and all constants on the other.

<h2 id="twostepequations">Two-Step Equations</h2> <p>Equations act like a balance where both sides are equal. To solve for x, the order of

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

Variables on Both Sides (Part 2)

This section continues with advanced concepts regarding equations with variables on both sides.

Definition: Special cases include equations with infinite solutions or no solutions.

Highlight: When the same terms appear on both sides, the equation may have infinite solutions.

Example: In 3x + 8 = 8 + 2x + x, combining like terms helps determine the nature of the solution.

<h2 id="twostepequations">Two-Step Equations</h2> <p>Equations act like a balance where both sides are equal. To solve for x, the order of

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

Variable Expressions

This section covers the translation between words and algebraic expressions.

Vocabulary: Key mathematical terms include sum, product, quotient, and difference.

Example: "7 increased by x" translates to 7 + x.

Highlight: Understanding mathematical vocabulary is crucial for translating word problems into algebraic expressions.

<h2 id="twostepequations">Two-Step Equations</h2> <p>Equations act like a balance where both sides are equal. To solve for x, the order of

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

Two-Step Equations

This section introduces the fundamental concept of solving two-step equations in pre algebra. The content explains how equations work like balances, with both sides being equal.

Definition: Two-step equations are mathematical statements that require two operations to solve for the variable.

Example: In the equation 5x + 3 = 28, you first subtract 3 from both sides, then divide by 5 to solve for x.

Highlight: The key to solving these equations is working backwards using inverse operations.

Vocabulary: Inverse operations are opposite mathematical operations that undo each other likeaddition/subtractionandmultiplication/divisionlike addition/subtraction and multiplication/division.

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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

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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