# Distributive Property Notes

```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?
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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
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Numeric Examples:
1.) 3(2+5)
2.) 4(9-7)
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Algebraic Examples:
1.) 5(g-9)
2.) 3(2x +4x-1)
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THE BOX METHOD
1.) 4(x+3)
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2.) 3(2x +4x-1)
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TIME TO PRACTICE!!!
1.) 6(12-2)
2.) 2(4+t)
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3.) 4(3g+2)
4.) 3(5x -4x+1)
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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