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# Distributive Property (Expanding) Worksheet

## 8 problems   In a distributive property, we multiply a given number with the sum or difference of two or more terms. This results in obtaining an equal result that would be obtained if you multiply the terms separately.

For example, 5 (3 + 5) = 5 (8) = 40 = 48. Likewise, (5 * 3) + (5 * 5) = 40. We get the same result for both methods. The distributive property holds true or applies to the sum or difference of two or more terms.

Expressions, Equations, And Inequalities
6.EE.A.3

## Teaching Problems Based on Distributive Property(Expanding) Easily

Things to keep in mind while solving a problem involving distributive property:

• Firstly, multiply or distribute the outer term with the inner terms.
• Second, combine the like terms.
• Thirdly, arrange the terms in a way that the constants and variables are placed on the opposite sides of the equal sign.
• Finally, Solve the equation and, if needed, simplify.

Here is an example of how to solve a problem based on the distributive property. Let’s consider the given example to learn how to solve a distributive property problem.

A (B + C) = AB + AC is the distributive formula.

Solve for ‘x’: 3 (x + 3) = 15

Using the distributive property,

Step 1: Distribute (Multiply 3 with the values in brackets).

3(x + 3) = 15

3x + 9 = 15.

Step 2: Subtract 12 from both sides now. The equation will look like this:

3x + 9 = 15.

3x + 12-9= 16 - 9.

3x = 7

Step 3: Simplify the Equation

3x = 7

x = 7/3

## Why Should You Use a Worksheet on Distributive Property(Expanding) Worksheet for Your Students?

Solving problems based on a distributive property with the help of worksheets, will help your students understand and grasp the concept.

• Solving these questions will help students to solve different multiplication problems with ease.
• These worksheets help students apply the distributive property of multiplication operations.

You can download and print these super fun distributive property expanding worksheet pdf from here for your students. You can also try our Distributive Property (Expanding) Problems and Distributive Property (Expanding) Quiz as well for a better understanding of the concepts.

## Teaching Problems Based on Distributive Property(Expanding) Easily

Things to keep in mind while solving a problem involving distributive property:

• Firstly, multiply or distribute the outer term with the inner terms.
• Second, combine the like terms.
• Thirdly, arrange the terms in a way that the constants and variables are placed on the opposite sides of the equal sign.
• Finally, Solve the equation and, if needed, simplify.

Here is an example of how to solve a problem based on the distributive property. Let’s consider the given example to learn how to solve a distributive property problem.

A (B + C) = AB + AC is the distributive formula.

Solve for ‘x’: 3 (x + 3) = 15

Using the distributive property,

Step 1: Distribute (Multiply 3 with the values in brackets).

3(x + 3) = 15

3x + 9 = 15.

Step 2: Subtract 12 from both sides now. The equation will look like this:

3x + 9 = 15.

3x + 12-9= 16 - 9.

3x = 7

Step 3: Simplify the Equation

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