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Warm- Up #1 Ch1: Evaluate for x = 6 and y = 4 Try these: 1 5x 2 4x 3 3 4 5 4y x 31 3 x 3 y 9 26 2 : Evaluate for x = 6 and y = 4 Try these 1 5x 2 4x 3 30 8 15 4y x 31 41 3 x 3 y 5 9 26 2 3 19 6 1.2 Simplifying Expressions • We will be able to reduce all fractions to simplest terms! Vocabulary: Simplest Form: The only common factor between the numerator and denominator is 1. We call this process simplifying. Factor: When two or more numbers are multiplied to form a product, each of those numbers are called a factor. (A factor is also a divisor) To “simplify fractions”: Factor, and cancel common factors. 12 21 To “simplify fractions”: Factor, and cancel common factors. 12 3 2 2 21 3 7 To “simplify fractions”: Factor, and cancel common factors. 12 3 2 2 4 21 3 7 7 Divisibility Rules: These are simple rules to make simplifying, factoring and dividing take less time! 2- Rule: even number? 3-Rule: sum of digits divisible by 3? 4-Rule: last 2 digits divisible by 4? 5-Rule: last digit 5 or 0? 6-Rule: follows rules for 2 &3 Nike Rule: “just do it” (÷7) 9-Rule:sum of digits divisible by 9? 10-Rule: Ends in a 0 To “simplify fractions”: Factor, and cancel common factors. 3ab 3a 5bc 5c To “simplify fractions”: Factor, and cancel common factors. 7 6 1 63 9 ? You cannot “cancel” when it is an addition expression!!! Homework: Page 14 (15 – 29)