1. Solving Proportions with Algebraic Expressions A review of the cross-products property and the distributive property

2. The Cross-Products Property

4. The Distributive Property What is the distributive property? a(b + c) = ab + ac HERE is the PROOF:

5. The Distributive Property For this one we will use a geometric proof Begin with: a(b + c) Create a rectangle with lengths a, b, c similar to the following: b + c a

6. The Distributive Property a(b + c) Find the Area of each piece of the rectangle: b + c aab ac

7. The Distributive Property a(b + c) Add the Areas to Find the Answer: ab + ac SO… a(b + c) = ab + ac b + c aab ac

8. Putting it All Together

9. Example 2