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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

752

<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 5(3x - 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 + 4(w + 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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SuSSan, iOS User

Love this App ❤️, I use it basically all the time whenever I'm studying

Subjects

/

Arithmetic

/

Combining like Terms

/

Combining like Terms

Learn Pre Algebra: Fun Worksheets and Easy Examples!

user profile picture

Shanmukha Polu

@shanmukha

·

37 Followers

Follow

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

752

 

6th/7th

 

Arithmetic

124

<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

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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 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

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 5(3x - 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 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

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 + 4(w + 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 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

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 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

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 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

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 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 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 (like addition/subtraction and multiplication/division).

Similar Content

Arithmetic - Multistep equations

notes+problems on how to solve multi-step equations

26

206

0

Know Multistep equations thumbnail

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

20 M

Students use Knowunity

#1

In Education App Charts in 17 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