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2.5 Apply the Distributive Property

Author: Brendan R

Using the Distributive Property

Deffinition- The equation 3(x+2) = 3(x) + 3(2) illustrates the distributive property, which can be used to find the product of a number and a sum or difference.

Equation:      4(5+2)

Step 1:         Distribute 4 with the 5

Step 2:         Distribute 4 with the 2

Step 3:         So it will now look like this

                    20+10

Step4:          add

                    20+10 = 30

Answer:       =30

 

Terms- the parts of an expression that are added together

Coefficient- the number being multiplied to the variable

Constant Term- a term of an expression that only contains a number

Like Terms- terms that have the same variable and same power

Equation:       5x2 + 8y - 3 + 2x - 13x2

Terms- 5x2, 8y, 2x, -3, -13x2

Coefficients- 5, 8, 2, -13

Constant- -3

Like Terms- 5x2 , -13x2

Source: ClassZone

Distributive Property Video

Source: Youtube

Distributive Property Slide Show