Subjects

Algebra 1

Expressions

Combining like Terms

Easy Algebra: Using Distributive Property and Combining Like Terms

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Easy Algebra: Using Distributive Property and Combining Like Terms

Mojeb Rahman Zameeri

@mojebrz

196 Followers

Using distributive property in algebra and simplifying algebraic expressions are fundamental skills for solving mathematical problems effectively.

• The distributive property allows multiplying a number by a sum by multiplying each term separately and then adding the results

• Combining like terms in expressions involves identifying terms with identical variables and powers, then combining their coefficients

• Mental math can be enhanced by strategically applying the distributive property to break down complex calculations

• Understanding how to simplify expressions using these properties is crucial for advancing in algebra

9/20/2023

Notes for Lesson 1-7: Distributive Property
1-7.1 Using the distributive property
Words
Distributive Property - You can
multiply a number by

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Page 2: Advanced Applications of Algebraic Simplification

This page builds upon the previous concepts by demonstrating more complex applications of the distributive property and expression simplification.

Example: The expression 2(x+6) + 3x simplifies to 5x+12 through distributing and combining like terms.

Highlight: The distributive property can also be applied to fractions, allowing for simplified calculations and cleaner expressions.

Example: When simplifying 4a-2(a-1), distribute the negative 2 first: 4a-2a+2, then combine like terms to get 6a+2.

Definition: Algebraic expressions can be simplified by systematically applying the distributive property and combining like terms in a step-by-step process.

View

Page 1: Understanding Distributive Property and Like Terms

The page introduces fundamental concepts of algebraic manipulation through the distributive property and like terms. Students learn how to apply these principles to simplify expressions effectively.

Definition: The distributive property states that multiplying a number by a sum equals multiplying by each number in the sum and then adding the results.

Example: 3(x + 8) = 3x + 24 demonstrates how to distribute the factor 3 to each term inside the parentheses.

Vocabulary: Like terms are expressions that contain the same variables raised to the same powers, while coefficients are numbers multiplied by variables.

Highlight: Mental math can be improved by using the distributive property to break down larger numbers, such as calculating 15(103) as 15(100) + 15(3) = 1500 + 45 = 1545.

Example: When combining like terms, -12x - 5x + 3a + x simplifies to -16x + 3a because only terms with the same variable can be combined.

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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.

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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

Subjects

Algebra 1

Expressions

Combining like Terms

Easy Algebra: Using Distributive Property and Combining Like Terms

Mojeb Rahman Zameeri

@mojebrz

196 Followers

Using distributive property in algebra and simplifying algebraic expressions are fundamental skills for solving mathematical problems effectively.

• The distributive property allows multiplying a number by a sum by multiplying each term separately and then adding the results

• Combining like terms in expressions involves identifying terms with identical variables and powers, then combining their coefficients

• Mental math can be enhanced by strategically applying the distributive property to break down complex calculations

• Understanding how to simplify expressions using these properties is crucial for advancing in algebra

9/20/2023

9th

Algebra 1

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Page 2: Advanced Applications of Algebraic Simplification

This page builds upon the previous concepts by demonstrating more complex applications of the distributive property and expression simplification.

Example: The expression 2(x+6) + 3x simplifies to 5x+12 through distributing and combining like terms.

Highlight: The distributive property can also be applied to fractions, allowing for simplified calculations and cleaner expressions.

Example: When simplifying 4a-2(a-1), distribute the negative 2 first: 4a-2a+2, then combine like terms to get 6a+2.

Definition: Algebraic expressions can be simplified by systematically applying the distributive property and combining like terms in a step-by-step process.

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 1: Understanding Distributive Property and Like Terms

The page introduces fundamental concepts of algebraic manipulation through the distributive property and like terms. Students learn how to apply these principles to simplify expressions effectively.

Definition: The distributive property states that multiplying a number by a sum equals multiplying by each number in the sum and then adding the results.

Example: 3(x + 8) = 3x + 24 demonstrates how to distribute the factor 3 to each term inside the parentheses.

Vocabulary: Like terms are expressions that contain the same variables raised to the same powers, while coefficients are numbers multiplied by variables.

Highlight: Mental math can be improved by using the distributive property to break down larger numbers, such as calculating 15(103) as 15(100) + 15(3) = 1500 + 45 = 1545.

Example: When combining like terms, -12x - 5x + 3a + x simplifies to -16x + 3a because only terms with the same variable can be combined.

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.

Download in

Google Play

Download in

App Store

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

Easy Algebra: Using Distributive Property and Combining Like Terms

Similar Content

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.

4.9+

15 M

#1

950 K+

Still not sure? Look at what your fellow peers are saying...

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

The application is very simple and well designed. So far I have found what I was looking for :D

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

Easy Algebra: Using Distributive Property and Combining Like Terms

Sign up to see the content. It's free!

Sign up to see the content. It's free!

Similar Content

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.

4.9+

15 M

#1

950 K+

Still not sure? Look at what your fellow peers are saying...

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

The application is very simple and well designed. So far I have found what I was looking for :D

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