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Published byCarmel Rose Modified over 7 years ago

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1.7 The Distributive Property

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You can use the distributive property to simplify algebraic expressions We can use the distributive property to re-write an expression in simplest form Use the distributive property to simplify the product of a number and a sum or difference

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Simplify each expression using the distributive property 3( h-5) = (6+9v)6 = -1(14+x) = 20( 8-a)= 3h-15 36 +54v -14-x 160-20a

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Simplify each expression using the distributive property ½( 4h-6) = -(6+9v) = 1.1(6+x) = 2h-3 -6-9v 6.6+1.1x

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Like Terms: remember that like terms have the same variable raised to the same power 12x + 4x = 16x 4b+ 4a+4b= 8b + 4a

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Simplify each expression 2(2h+1)+3(4h+7) 5(n-8)+ 6(7-2n) 4h+2 + 12h+ 21 = 16h+23 5n-40 + 42-12n= -7n+2

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