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Tham khảo tài liệu 'sat math essentials for english_7', ngoại ngữ, anh ngữ phổ thông phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | -------------------------------------- PROBLEM SOLVING ----------------------------------------------- Example The square of the sum of m and n is 25. m n 2 25 Practice Question If squaring the sum of y and 23 gives a result that is 4 less than 5 times y which of the following equations could you use to find the possible values of y a. y 23 2 5y 4 b. y2 23 5y 4 c. y2 23 2 y 4 5 d. y2 23 2 5y 4 e. y 23 2 y 4 5 Answer a. Break the problem into pieces while translating into mathematics squaring translates to raise something to a power of 2 the sum of y and 23 translates to y 23 So squaring the sum of y and 23 translates to y 23 2. gives a result translates to 4 less than translates to something 4 5 times y translates to 5y So 4 less than 5 times y means 5y 4. Therefore squaring the sum of y and 23 gives a result that is 4 less than 5 times y translates to y 23 2 5y - 4. Assigning Variables in Word Problems Some word problems require you to create and assign one or more variables. To answer these word problems first identify the unknown numbers and the known numbers. Keep in mind that sometimes the known numbers won t be actual numbers but will instead be expressions involving an unknown. Examples Renee is five years older than Ana. Unknown Ana s age x Known Renee s age is five years more than Ana s age x 5 Paco made three times as many pancakes as Vince. Unknown number of pancakes Vince made x Known number of pancakes Paco made three times as many pancakes as Vince made 3x Ahmed has four more than six times the number of CDs that Frances has. Unknown the number of CDs Frances has x Known the number of CDs Ahmed has four more than six times the number of CDs that Frances has 6x 4 151 ------------------------------------ PROBLEM SOLVING ------------------------------------------ Practice Question On Sunday Vin s Fruit Stand had a certain amount of apples to sell during the week. On each subsequent day Vin s Fruit Stand had one-fifth the amount of apples than on the .
