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February 27, 2015 The Distributive Property 3.A.2 -> I can use the distributive property to simplify expressions. February 27, 2015 Essential Question: How can I use the distributive property to evaluate and simplify expressions? February 27, 2015 What do you know about distribution? What does the word mean? DRAW IT!!! February 27, 2015 Formal Definition: For any numbers a, b, and c,.... a(b+c) = ab+ac February 27, 2015 Numeric Examples: 1.) 3(2+5) 2.) 4(9-7) February 27, 2015 Algebraic Examples: 1.) 5(g-9) 2.) 3(2x +4x-1) February 27, 2015 THE BOX METHOD **Distribute & add them up! 1.) 4(x+3) February 27, 2015 2.) 3(2x +4x-1) February 27, 2015 TIME TO PRACTICE!!! 1.) 6(12-2) 2.) 2(4+t) February 27, 2015 3.) 4(3g+2) 4.) 3(5x -4x+1) February 27, 2015 APPLICATION The Hernandez family owns two cars. In 2009, they drive the first care 18,000 miles and the second car 16,000 miles. If it costs 65¢, on average, per mile to own and operate a vehicle, find the total cost of operating both cars. a.) What is the important information? b.) Set up a distribution problem to find the answer. It should look like this... a(b+c) February 27, 2015 Google: Quia Pre-Algebra Super Challenge