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Day 15 Consecutive Integer Word Problems Day #2.notebook 9/30 Aim: How do we solve consecutive integer word problems? Do Now: Look over quiz, try to figure out your mistakes Hw: Pgs. 1415 GET QUIZZES SIGNED, IF NEEDED September 30, 2016 Day 15 Consecutive Integer Word Problems Day #2.notebook September 30, 2016 Day 15 Consecutive Integer Word Problems Day #2.notebook September 30, 2016 Day 15 Consecutive Integer Word Problems Day #2.notebook September 30, 2016 Day 15 Consecutive Integer Word Problems Day #2.notebook September 30, 2016 Write an equation and solve. 5) Find three consecutive integers such that their sum is 99. Solve x + x + 1 + x + 2 = 99 algebraically. Let... x = 1st integer 3x + 3 = 99 x + 1 = 2nd integer 3 3 x + 2 = 3rd integer 3x = 96 3 3 The numbers are 32, 33 and 34. x = 32 6) Find three consecutive even integers such that their sum is 42. Solve x + x + 2 + x + 4 = 42 algebraically. x = 1st integer x + 2 = 2nd integer x = 4 = 3rd integer The numbers are 12, 14 and 16. 3x + 6 = 42 6 6 3x = 36 3 3 x = 12 7) April paid $3 per soda and a popcorn for $4.50. If April paid a total of $16.50, how many sodas did April purchase? 3x + 4.50 = 16.50 x = # of sodas April bought 4 sodas 4.50 4.50 3x = 12.00 3 3 x = 4 Day 15 Consecutive Integer Word Problems Day #2.notebook September 30, 2016 n 6 = 4 4(3x + 5) = 50 2x 5 3m + 2 Five times a number decreased by three is equal to seven times a number increased by six. Day 15 Consecutive Integer Word Problems Day #2.notebook September 30, 2016 Review: Jacob's dad is 5 years older than 3 times Jacob's age. If Jacob's dad is 32 years old, how old is Jacob? Day 15 Consecutive Integer Word Problems Day #2.notebook September 30, 2016 1) Find two consecutive integers such that the larger is nine more than twice the smaller. Solve algebraically. Day 15 Consecutive Integer Word Problems Day #2.notebook September 30, 2016 2) Find two consecutive integers such that twice the smaller diminished by twenty is equal to the larger. Day 15 Consecutive Integer Word Problems Day #2.notebook September 30, 2016 3) Find three consecutive integers such that the sum of twice the second and three times the third is five less than six times the first. Day 15 Consecutive Integer Word Problems Day #2.notebook September 30, 2016 4) Find three consecutive even integers such that the sum of twice the first and three times the third is fourteen more than four times the second.