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Adding and Subtracting Linear Expressions Worksheet & Examples

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Adding and Subtracting Linear Expressions Worksheet & Examples

Adding and subtracting linear expressions is a fundamental algebraic concept that helps students understand how to manipulate mathematical expressions. This guide covers the basics of working with linear expressions, including combining like terms and solving word problems involving buying and selling.

• Linear expressions are algebraic expressions where variables have an exponent of 1
• The guide demonstrates how to add and subtract expressions using the commutative and associative properties
• Examples include working with variables, integers, and real-world applications
• Word problems show practical applications in business scenarios with price calculations
• Step-by-step solutions are provided for better understanding

5/15/2023

202

<h2 id="addingsubtractinglinearexpressions">Adding &amp; Subtracting Linear Expressions</h2>
<p>A linear expression is an algebraic expressi

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Page 2: Subtracting Linear Expressions and Word Problems

This page extends the concepts to subtraction and real-world applications, particularly focusing on linear profit function problems and practical scenarios.

Example: A word problem involving a cowboy hat demonstrates how to calculate earnings using linear expressions: Original price: d dollars Purchase price with coupon: (d-2) dollars Selling price: (2d-4) dollars Earnings = (2d-4)-(d-2) = d-2

Highlight: The page emphasizes how linear equations money word problems can be solved by breaking down the problem into smaller steps and using linear expressions.

Definition: Earnings in this context are calculated as the difference between selling price and purchase price, demonstrating a practical application of linear profit function formula.

The page concludes with additional practice problems focusing on subtracting linear expressions and solving more complex equations involving coefficients and decimals.

<h2 id="addingsubtractinglinearexpressions">Adding &amp; Subtracting Linear Expressions</h2>
<p>A linear expression is an algebraic expressi

View

Page 1: Adding Linear Expressions

This page introduces the concept of simplifying linear expressions and demonstrates how to add them effectively. The content focuses on combining like terms and using mathematical properties to solve problems.

Definition: A linear expression is an algebraic expression where the highest exponent on any variable is 1.

Example: Adding linear expressions: 1(x-2) + 1(3x + 8) = 4x + 6 The solution demonstrates combining like terms and using the commutative property.

Highlight: When adding linear expressions, it's crucial to identify like terms and combine them appropriately.

The page includes multiple practice problems for adding and subtracting linear expressions with fractions and integers, helping students build confidence in solving various types of expressions.

Vocabulary: Commutative Property - The order of addition doesn't affect the result Like Terms - Terms with the same variables raised to the same powers

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

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Adding and Subtracting Linear Expressions Worksheet & Examples

Adding and subtracting linear expressions is a fundamental algebraic concept that helps students understand how to manipulate mathematical expressions. This guide covers the basics of working with linear expressions, including combining like terms and solving word problems involving buying and selling.

• Linear expressions are algebraic expressions where variables have an exponent of 1
• The guide demonstrates how to add and subtract expressions using the commutative and associative properties
• Examples include working with variables, integers, and real-world applications
• Word problems show practical applications in business scenarios with price calculations
• Step-by-step solutions are provided for better understanding

5/15/2023

202

 

7th

 

Arithmetic

60

<h2 id="addingsubtractinglinearexpressions">Adding &amp; Subtracting Linear Expressions</h2>
<p>A linear expression is an algebraic expressi

Page 2: Subtracting Linear Expressions and Word Problems

This page extends the concepts to subtraction and real-world applications, particularly focusing on linear profit function problems and practical scenarios.

Example: A word problem involving a cowboy hat demonstrates how to calculate earnings using linear expressions: Original price: d dollars Purchase price with coupon: (d-2) dollars Selling price: (2d-4) dollars Earnings = (2d-4)-(d-2) = d-2

Highlight: The page emphasizes how linear equations money word problems can be solved by breaking down the problem into smaller steps and using linear expressions.

Definition: Earnings in this context are calculated as the difference between selling price and purchase price, demonstrating a practical application of linear profit function formula.

The page concludes with additional practice problems focusing on subtracting linear expressions and solving more complex equations involving coefficients and decimals.

<h2 id="addingsubtractinglinearexpressions">Adding &amp; Subtracting Linear Expressions</h2>
<p>A linear expression is an algebraic expressi

Page 1: Adding Linear Expressions

This page introduces the concept of simplifying linear expressions and demonstrates how to add them effectively. The content focuses on combining like terms and using mathematical properties to solve problems.

Definition: A linear expression is an algebraic expression where the highest exponent on any variable is 1.

Example: Adding linear expressions: 1(x-2) + 1(3x + 8) = 4x + 6 The solution demonstrates combining like terms and using the commutative property.

Highlight: When adding linear expressions, it's crucial to identify like terms and combine them appropriately.

The page includes multiple practice problems for adding and subtracting linear expressions with fractions and integers, helping students build confidence in solving various types of expressions.

Vocabulary: Commutative Property - The order of addition doesn't affect the result Like Terms - Terms with the same variables raised to the same powers

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