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. 

Grade 6
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

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