Lesson 1.1 Examples: Let n = a number 1) twelve less than twice some number 2) eight more than the ratio of twice a number and five 3) the difference of 45% of a number and one Translating to Algebraic Expressions per of less than more ratio twicedecreased increased quotient times minus plus divided product ofdifference sum of divide multiply subtract add DivisionMultiplicationSubtractionAddition Key Words Exponential Notation The expression an, in which n is a counting number means aaaaa •••• ..... n factors In an, a is called the base and n is called the exponent, or power. When no exponent appears, it is assumed to be 1. Thus a1 = a. Rules for Order of Operations 1. Simplify within any grouping symbols. 2. Simplify all exponential expressions. 3. Perform all multiplication and division working from left to right. 4. Perform all addition and subtraction working from left to right.Examples: 1) )21(4)7(642+−+ = 2) )13(4)16(413)12(22−−+++= To EVALUATE an expression or formula, substitute the given value(s) for the variable(s) and follow the order of operations. 1) 3,7,2for 8===− zyxyxz 2) 2,3for 4322==− maamma 3) 22])(2[ abbax −+− for 1,2,12===bax 4) 8,2,3for 242===−+ zyxzxyx 5) Find the area of a trapezoid if 8,18,1221===hbb )(2121bbhA += h
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