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DISTRIBUTIVE PROPERTY & COMBINING LIKE TERMS NOTES-9/_9__

DISTRIBUTIVE PROPERTY & COMBINING LIKE TERMS NOTES-9/_9__. DISTRIBUTIVE PROPERTY OF _____________ OVER _________. multiplication. addition. a (b + c) = __ __ + __ __. a b. a c. xy + xz = ___ ( ___ + ____ ). x. y. z. 5 ( x - y) = 5 __ - 5 ___. x. y. - (2 - a) = -2 - ___ = _______.

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DISTRIBUTIVE PROPERTY & COMBINING LIKE TERMS NOTES-9/_9__

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  1. DISTRIBUTIVE PROPERTY&COMBINING LIKE TERMSNOTES-9/_9__

  2. DISTRIBUTIVE PROPERTY OF _____________ OVER _________. multiplication addition a (b + c) = __ __ + __ __ a b a c xy + xz = ___(___ + ____) x y z 5 ( x - y) = 5 __ - 5 ___ x y - (2 - a) = -2 - ___ = _______ 1 (-1a) -2 + 1a = -2 + a

  3. 5(2x-3) (3x+5) + - - 1 5 * 2x - 5 * 3 + -1 * 3x + -1 * 5 10x - 15 + -3x + -5 7x - 20

  4. TERM • Any part of an expression or equation that is ___________ by __________ or ________ ________ . separated addition subtraction signs EXAMPLES 2x + 1x 5 + 4x - y 3a2 + b - 5a2b - 2 2 terms 3 terms 4 ________terms 1 2 3 4

  5. LIKE TERMS Terms that have the same _____________parts variable or no variable parts. EXAMPLES OF LIKE TERMS EXAMPLES OF NON-LIKE TERMS 5x2,3x2 6, 8 4a2b, 3a2b 5x, 5x2 6a, 8 4ab, 3a2b

  6. COEFFICIENTS Numerical ____________part of a term. 5x2 5 is the coefficient 3a2b 3 is the coefficient 1 x 1 is the coefficient

  7. COMBINING LIKE TERMS _________ or __________ the coefficients of _________ _________. Adding subtracting like terms EXAMPLES 2x + 4x = 6x (2 + 4) x or 6x distributive property 2w + w = 1 3w 5r - 3r = 2r (5 - 3) r = 2r distributive property 3y + 7y - 6 = 10 y - 6 8x + 2y + 5x - y = 8x + 2y + 5x - y = 1 13x + 1 y 1y 13x Hooray!

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