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Published byTimothy Horn Modified over 9 years ago

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1.2 Algebraic Expressions

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PROPERTIES - REVIEW a+b=b+a or a∙b=b·a a+(b+c) = (a+b)+c a ∙ (b ∙ c) = (a ∙ b) ∙ c a ∙ (b ∙ c) = (a ∙ b) ∙ c a+0=a a ∙1=a a+-a = 0 a ∙(1/a) = 1 a(b + c) = ab + ac COMMUTATIVE ASSOCIATIVE IDENTITY INVERSE DISTRIBUTIVE

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PROPERTIES cont’d SUBTRACTION DIVISION OPP of SUM OPP of DIFF OPP of PRODUCT a – b = a + (-b) –(a+b) = – a + (– b) –(a – b) = –a + b = b – a – (–a) = a

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ALGEBRAIC EXPRESSIONS EX - Expressions

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ALGEBRAIC EXPRESSIONS EX – Formulas Evaluate for x = 5 and y = -3

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ALGEBRAIC EXPRESSIONS Simplify ALWAYS WRITE VARIABLES IN ALPHABETICAL ORDER GOINGS FROM LEFT TO RIGHT

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FIND PERIMETER Perimeter = add all sides Perimeter = add all sides 3x + 2x + (3x – y – 1 ) + y + (y+1) + (2x - y) 3x + 2x + (3x – y – 1 ) + y + (y+1) + (2x - y) 10x 10x 3x 2x y+1 y NEED THESE SIDES 3x – (y+1) = 3x – y – 1 2x - y

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