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Regents Exam Questions CC.A.CED.1: Modeling Linear Equations 4 Page 1 www.jmap.org Name: __________________________________ CC.A.CED.1: Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. 1 Find three consecutive numbers whose sum is 9 greater than twice the largest number. 2 What number is that which being multiplied by 7 gives a product as much greater as the number itself is less than 20? 5 A person expends $240 in the purchase of wheat. If he had paid 20 cents a bushel less he could have obtained 100 bushels more for the same money. How many bushels did he buy? 6 A who travels 4 miles an hour, starts from a certain place two hours in advance of B who travels 5 miles an hour in the same direction. How many hours must B travel to overtake A? 3 What number is that, the treble of which, increased by 12, shall as much exceed 54 as that treble is less than 144? 4 Find the number such that if 16 be subtracted from it, of the remainder will be equal to of the number. 7 It took a man 12 hours to make a certain journey. Had he traveled 1 mile an hour faster he would have required 2 hours less time. What was his rate an hour and how long was the journey? Regents Exam Questions CC.A.CED.1: Modeling Linear Equations 4 www.jmap.org 1 ANS: 10, 11, 12 REF: 010606al 2 ANS: 5 REF: 019008al 3 ANS: 31 REF: 019107al 4 ANS: 72 REF: 010504al 5 ANS: 120,000 REF: 019714al 6 ANS: 8 REF: 090405al 7 ANS: 5 and 60 miles REF: 039512al