6.3 Solve Equations Using the Distributive Property

Students will be able to:

The Distributive Property can be used to solve equations in the form

p(x + q) = r. These types of equations can be used to represent situations

and solve problems.

6.3 Blank Notes

7.3

SOLVING EQUATIONS USING THE DISTRIBUTIVE PROPERTY

When solving equations written in the form p(x + q) = r, you can use the

Distributive Property to multiply the two terms in the parentheses by the

term outside the parentheses.

Example:

6(x + 8.5) = 123

6x + 51 = 123

6x = 72

x = 12

DIAGRAM DESCRIPTION

An area model shows a rectangle of height 6 divided into two sections with

widths x and 8.5. The total area is 123. The model represents the equation

6(x + 8.5) = 123.

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