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Solving Proportions with Algebraic Expressions

Solving Proportions with Algebraic Expressions. A review of the cross-products property and the distributive property. The Cross-Products Property. What is the cross-products property? If HERE is the PROOF :. The Cross-Products Property. Begin with:

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Solving Proportions with Algebraic Expressions

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

  2. The Cross-Products Property What is the cross-products property? If HERE is the PROOF:

  3. The Cross-Products Property Begin with: Multiply both sides by b Simplify Multiply both sides by d Simplify

  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 ac a ab

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

  8. Putting it All Together Solve the equation: Use Cross-Products Property:24 Divide both sides by 5: Leave as a fraction or write as a decimal

  9. Example 2 Solve the equation: Use Cross-Products Property: Use the Distributive Property: Subtract 2x from each side: Subtract 12 from each side:

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