math week 1 - Running head SIMPLIFYING EXPRESSIONS...

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Running head: SIMPLIFYING EXPRESSIONSSimplifying ExpressionsMAT 221 Introduction to AlgebraInstructor: Gary WithersNovember 8, 2012Simplifying Expressions1
22a(a – 5) + 4(a – 5)2a(a – 5) + 4(a – 5)Given2a(a) – 2a(5) + 4(a) + 4(5)Left Distributive Property of Addition Over Multiplication2(aa) – 2a(5) + 4(a) + 4(5)Associative Property of Multiplication2(aa) – 2(5)a + 4(a) + 4(5)Commutative Property of Multiplication2(aa) – (2*5)a + 4(a) + 4(5)Associative Property of Multiplication2a2– 10a + 4a + 20Multiplication Property2a26a + 20Subtraction PropertyOn the left side is the step-by-step of the mathematical reasoning for 2a(a – 5) + 4(a – 5) to be simplifiedas 2a26a + 20. On the right side is the step-by-step logical reasoning. The middle part is combined because the termsare likewhile the extreme terms are unlike each of the other three terms. The parenthesesare used to show associative property and then removedvia multiplication and subtraction. The numerical coefficient

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