Download Sheet #15-‐03 Topic: Consecutive Integers Quadratic Wo

Name: ________________________ Sheet #15-­‐03 Topic: Consecutive Integers Quadratic Word Problems Aim: How do we set up and solve consecutive integer problems? Do Now: Julie has three children whose ages are consecutive odd integers. If x represents the youngest child's age, write an expression to represent the sum of their ages. ____________________________________________________________________________________________________________________________ #1) Write an expression that represents the product of 2 consecutive odd integers. #2) Write an expression such that the first and second consecutive integer is equal to four times the third consecutive integer. #3) Find two consecutive negative even integers whose product is 80. #3) Marsha and Billy have ages that are consecutive odd integers. The product of their ages is 99. If Marsha is the youngest, find both of their ages. #4) Sam, Jimmy, and Joe are each one year apart. Joe is the youngest and Jimmy is the oldest. If the product of Joe’s and Jimmy’s age is 15, find the ages of all three. #5) Find three consecutive positive integers such that the product of the first and second is two more than three times the third. MIXED NUMBER WORD PROBLEMS: #1) A man is 35 years older than his son. The product of their ages is 884. Write an equation that can be used to solve for the man’s age. #4) The sum of two numbers is 16. Their product is 63. Find the two numbers. #2) Joe has three more cookies than Antonio. The product of Joe and Antonio’s cookies is 40. How many cookies did they each have? #3) The sum of two numbers is 23. Their product is 90. Find the two numbers. #5) The square of a number decreased by 8 times the number equals 9. Find the two numbers. #6) The square of a number decreased by 4 times the number equals 21. Find the two numbers.