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Distributive Property Worksheet (pdf) and Answer Key

Students will practice applying the distributive property of multiplication over addition.

This worksheet has 23 problems.

This is a 4 part worksheet

• Part I. Model Problems
• Part II. Practice
• Part III. Challenge Problems
• Part IV. Answer Key

Example Worksheet Questions

Directions: Simplify by applying the distributive property .

Visual Aids

• Distributive Property Quiz

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6th Grade Distributive Property

Welcome to our 6th Grade Distributive Property Worksheets.

Here you will find a range of algebra worksheets to help you learn how to use the distributive property to expand and factorize a range of expressions.

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Distributive Property Support

Evaluate the expression worksheets, expand the expression worksheets, factorize the expression worksheets.

• Distributive Property Mixed Worksheets
• More recommended resources

6th Grade Distributive Property Online Quiz

This page is all about using the distributive property to expand and factorize a range of expressions.

We have split the worksheets up into 4 different sections:

• Evaluate the expression - work out the value of different algabraic expressions;
• Expand the expression - use the distributive property to multiply out the brackets;
• Factorize the expression - use the distributive property to factorize different expressions.
• Mixed questions involving all 3 of the above.

By splitting the algebra up into sections, you only need to concentrate on one aspect at a time!

Each question sheet comes with its own separate answer sheet.

Want to test yourself to see how well you have understood this skill?.

• Try our NEW quick quiz at the bottom of this page.

What is an algebraic expression?

An expression is a mathematical statement where variables and operations are combined.

• 2a + 5 is an expression involving the variable a
• 5(y 2 - 6) is another expression

How to Evaluate an Expression

When we are evaluating the value of an expression, we work out the value of the expression when we give a value to the variable.

• 2(p + 5) has a value of 22 when p = 6 because 2(6 + 5) = 2 x 11 = 22
• 3(12 - q) has a value of 21 when q = 5 because 3(12 - 5) = 3 x 7 = 21
• 8(n - 2) has a value of 64 when n = 10 because 8 (10 - 2) = 8 x 8 = 64
• 8(n - 2) has a value of 0 when n = 2 because 8 (0 ) = 8 x 0 = 0

How to Expand an Expression

When we are expanding an expression, we multiply out the factors.

• 2(p + 5) = 2 x p + 2 x 5 = 2p + 10
• 3(12 - q) = 3 x 12 - 3 x q = 36 - 3q
• 8(n - 2) = 8 x n - 8 x 2 = 8n - 16
• 5(y + 3z) = 5 x y + 5 x 3z = 5y + 15z

How to Factorize an Expression

When we are factorizing an expression, we try to find the greatest common factor of all the numbers and take it out as a factor.

• 3n + 15 = 3(n + 5) - greatest common factor of 3 and 15 is 3.
• 4p + 32 = 4(p + 8) - the greatest common factor of 4 and 32 is 8.
• 20 - 8y = 4(5 - 2y) - the greatest common factor of 20 and 8 is 4.
• 4a - 10b + 6c = 2(2a - 5b + 3c) - the greatest common factor of 4, 10 and 6 is 2.
• 35d + 42 = 7(5d + 6) - the greatest common factor of 35 and 42 is 7.

6th Grade Distributive Property Worksheets

These sheets involve working out the value of the expression using PEMDAS and order of operations.

The first sheets is a multiple choice sheet with only numbers in the expressions.

The second sheet involves finding the value of the expression with only numbers in the expression.

The third sheet involves finding the value of the expression with numbers and variables in the expression.

• Evaluate the Expression Sheet 6:1
• PDF version
• Evaluate the Expression Sheet 6:2
• Evaluate the Expression Sheet 6:3

Sheet 1 is a multiple choice sheet where you match the factorized expression with the correct expanded expression.

Sheet 2 involes writing the factorized expression as an expanded expression.

• Expand the Expression Sheet 6:1
• Expand the Expression Sheet 6:2

Expand the Expression Walkthrough Video

This short video walkthrough shows several problems from our Expand the Expression Worksheet 6:1 being solved and has been produced by the West Explains Best math channel.

If you would like some support in solving the problems on these sheets, please check out the video below!

Sheet 1 is a multiple choice sheet where you match the expression with the correct factorized expression.

Sheet 2 involes writing the expression as a factorized expression.

• Factorize the Expression Sheet 6:1
• Factorize the Expression Sheet 6:2

6th Grade Distributive Property Mixed Worksheets

These questions involve expanding, factorizing and evaluating different expressions..

They are a combination of questions from all the above categories.

• 6th Grade Distributive Property Sheet 6:1
• 6th Grade Distributive Property Sheet 6:2

More Recommended Math Worksheets

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More 6th Grade Algebra Worksheets

If you are looking for some basic algebra worksheets to use with your child to help them understand simple equations then try our selection of basic algebra worksheets.

There are a range of 6th grade math worksheets covering the following concepts:

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There are also lots of worksheets designed to practice and learn about PEMDAS.

Using these worksheets will help your child to:

• know and understand how parentheses works;
• understand how exponents work in simple calculations.
• understand and use PEMDAS to solve a range of problems.
• PEMDAS Problems Worksheets 5th Grade
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Interactive Equality Explorer

This interactive equality explorer has been produced by PhET Interactive Simulations at the University of Colorado.

It is a useful tool for exploring different ideas including negative numbers and algebra equations and equality.

Probably the most useful part of the app is to use the 'Solve It' section once you are confident how it works.

You can then select your level of difficulty and start solving some algebraic equations by getting your variables onto one side of the equation and the numerical values on the other, and then multiplying or dividing the equation until you find the value of the required variable.

• Interactive Equality Explorer by PhET

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Free Printable distributive property worksheets

Distributive property worksheets offer a valuable resource for math teachers to help students discover and master this essential concept. Download and print these free, high-quality materials to enhance your lesson plans and support student learning.

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Explore printable distributive property worksheets

Distributive property worksheets are an essential tool for teachers to help their students grasp the fundamental concepts of Math, particularly in the areas of arithmetic and number theory. These worksheets provide a structured and engaging way for students to practice and apply the distributive property, which is a critical skill in solving various mathematical problems. By incorporating distributive property worksheets into their lesson plans, teachers can ensure that their students have a solid foundation in Math, enabling them to tackle more complex problems with confidence. Furthermore, these worksheets cater to different grade levels, ensuring that the content is appropriate and challenging for each student. In conclusion, distributive property worksheets are an invaluable resource for teachers who are committed to helping their students excel in Math.

Quizizz is an innovative platform that offers a wide range of educational resources, including distributive property worksheets, to support teachers in delivering engaging and effective Math lessons. This platform allows teachers to create interactive quizzes and games that can be easily integrated into their lesson plans, providing a fun and interactive way for students to learn and practice arithmetic and number theory concepts. In addition to distributive property worksheets, Quizizz also offers a plethora of other Math resources, catering to various grade levels and topics. Teachers can easily track their students' progress and identify areas for improvement, ensuring that each student receives the support they need to succeed in Math. Overall, Quizizz is an invaluable tool for teachers, offering a comprehensive suite of resources to enhance their students' learning experience and help them achieve their full potential in Math.

1-7 The Distributive Property

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4th grade foundations (Eureka Math/EngageNY)

Course: 4th grade foundations (eureka math/engageny)   >   unit 3.

• Intro to distributive property

Distributive property explained

• Division word problem: school building
• Relate division to multiplication word problems
• The idea of division
• Intro to division
• Division with groups of objects
• We usually use the distributive property because the two terms inside the parentheses can’t be added because they’re not like terms
• Make sure you apply the outside number to all of the terms inside the parentheses/brackets

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Distributive property

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Use the distributive property to make multiplication easier

The distributive property of multiplication tells us that 5 x (2 + 3)  is the same as 5 x 2 + 5 x 3 .  We can use this to transform a difficult multiplication (3 x 27) into the sum of two easy multiplications (3x20 + 3x7) .  In these worksheets, students use the distributive property to multiply 1 by 2 digit numbers .

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distributive property algebra worksheets

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Distributive Property Worksheets

Students learn the various properties involved in multiplying an equation such as commutative, associative, and distributive property. The distributive property worksheets help in building a solid foundation in understanding the distributive property, i.e., splitting the numbers in the equation. Initially, it might be tough but with practice through these worksheets, students can understand the topic better.

Benefits of Distributive Property Worksheets

The main benefit of distributive property worksheets is that students learn to solve a diverse set of questions like word problems, use of a variable, simple equation format, etc. The structure of these worksheets ensures that a student also has fun while solving problems. These math worksheets come with a detailed answer key that provides a step-by-step solution for every problem that, in turn, helps students learn clearly and understand the concept better.

Download Distributive Property Worksheet PDFs

Students can practice problems by downloading the distributive property worksheets in PDF format for free.

☛ Check Grade wise Distributive Property Worksheets

• 4th Grade Distributive Property Worksheets
• Distributive Property Worksheets for Grade 5
• 7th Grade Distributive Property Worksheets