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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Evaluate the expression worksheets, expand the expression worksheets, factorize the expression worksheets.
- Distributive Property Mixed Worksheets
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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.
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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.
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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
IMAGES
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They will then use the distributive property to solve six practice problems. Designed for fourth graders, this worksheet offers scaffolded practice for students as they learn to use the distributive property to solve multiplication problems with one- and two-digit factors. Download Free Worksheet. See in a Lesson Plan.
Free worksheet(pdf) and answer key on the distributive property. 23 scaffolded questions that start relatively easy and end with some real challenges. Plus model problems explained step by step
With this worksheet generator, you can make customizable worksheets for the distributive property and factoring. These worksheets are especially meant for pre-algebra and algebra 1 courses (grades 6-9).. The generator includes only very simple problems with linear expressions.
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. Answers. PDF version. 6th Grade Distributive Property Sheet 6:2. Answers.
Shade It In. I follow the cut and paste with a distributive property worksheet that gives students a multiplication problem and students shade in squares to represent that problem. This is scaffolded for students, because the first three problems are started for students. In the last three problems, students must determine how to break apart ...
Distributive Property of Multiplication The Distributive Property of Multiplication is used when we divide a multiplication array into two parts, making two smaller multiplication facts. When you add to find the sum of the two smaller products, you have the amount of the original array. This array shows 3 x 5 The array was broken into two ...
A Simple Example. Let A = 3, B = 5, and C= 8. The equation then become: 3 x (5 + 8) = (3 x 5) + (3 x 8). Solving the left-hand side will give us 3 x 13 = 39. Solving the right-hand side will give us 15 + 25 = 39. Hence, Left hand side = right hand side. The distributive property can make it easier to solve complex problems.
We will distribute a factor as a sum or difference of two numbers. For example, you can simplify 8 × 27 by splitting 27 into 20 + 7. The distributive property of multiplication over addition: 8 × ( 20 + 7 ), 8 × 20 + 8 × 7. The distributive property of multiplication over subtraction: 8 × ( 30 - 3 ), 8 × 30 - 8 × 3, 240 - 4 = 216.
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. distributive property. Algebra: Distributive Property. 13 Q. 8th - 12th.
The Distributive Property - Word Docs & PowerPoint. 1-7 Assignment - The Distributive Property. 1-7 Bell Work - The Distributive Property. 1-7 Exit Quiz - The Distributive Property. 1-7 Guide Notes SE - The Distributive Property. 1-7 Guide Notes TE - The Distributive Property. 1-7 Lesson Plan - The Distributive Property.
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K5 Learning offers free worksheets, flashcards and inexpensive workbooks for kids in kindergarten to grade 5. Become a member to access additional content and skip ads. Distributive property worksheets. Students explicitly rewrite and answer multiplication equations using the distributive property. Multiplicands up to 30.
Google Classroom. The distributive property tells us how to solve expressions in the form of a (b + c). The distributive property is sometimes called the distributive law of multiplication and division. Normally when we see an expression like this …. we just evaluate what's in the parentheses first, then solve it:
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.
These distributive property of multiplication worksheets break down the property for students in a more engaging method. The worksheets are great for introducing 3rd-grade students to the property or 4th-grade students that need practice.What's Included:Worksheet 1: This worksheet provides the definition of the distributive property of multiplication as well as step-by-step instruction ...
The primary learning target for this unit pack is "I can use the distributive property to simplify algebraic expressions." This pack includes the following: - Student handout "how to use distributive property" - 4 distributive property worksheets and answer keysSolving algebraic equations can be difficult for some students.
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.