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Published byFrank Holtzer Modified over 6 years ago
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Bell Ringer #4 (2-5-16) Try and define these terms or say what they mean: 1. distribute 2. factor 3. constant 4. coefficient 5. variable
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2.7 The Distributive Property
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Simplify by using the Distributive Property
6 ( 3x ) 6 ● 3x = + 6 ● 5 = 18x + 30
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Simplify by using the Distributive Property
5 ● 2 = + 5 ● 7y = + 35y 10 = 35y + 10
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Simplify by using the Distributive Property
-4 ( 8a )
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Simplify by using the Distributive Property
-5(x – 3y +8z)
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Simplify by using the Distributive Property
4( s – t + w ) 3
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Simplify by using the Distributive Property
5( x – 3y + 8z) 6
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Factoring The reverse of multiplying
Factor out the greatest common factor (GCF) of all terms
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Factor 5 x + 5 y = 5(x + y)
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Factor 9x y = 9x + 9 (3y) = 9 (x + 3y)
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Factor 18a b = 3(6a) + 3(7b) = 3 (6a + 7b)
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Factor 5x – 35y – 10
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Try on your own… Factor - 25y w + 5
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What are these terms called?
What is a term? Terms are separated by addition or subtraction What are these terms called? x - 15 + 8y coefficient Variable term Variable Term Constant Term
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same VARIABLE and same EXPONENT
What are “like terms”? same VARIABLE and same EXPONENT 2x + 5x z NOT LIKE TERMS LIKE TERMS
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What are “like terms”? 3m + m - 20m w² + w NOT LIKE TERMS LIKE TERMS
same VARIABLE and same EXPONENT 3m + m m w² + w NOT LIKE TERMS LIKE TERMS
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Combine like terms 5x + 4x + 2x add coefficients = 11x
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Combining Like Terms Change all subtraction to adding the opposite.
Combine like terms. 5x - (-9) + 2x + 7 = 5x x + 7 = 7x
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Bell Ringer #6 Now explain these terms after what you have learned:
1. distribute 2. factor 3. constant 4. coefficient 5. variable
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