1.8 Consecutive Integers Notes on Handout

Consecutive Integers Consecutive Integers: Use: x, x + 1, x + 2, … +1 +1 Consecutive Integers: Use: x, x + 1, x + 2, … x x+1 x+2 +2 +2 Consecutive Odd Integers: Use: x, x + 2, x + 4, … x x+2 x+4 SAME! +2 +2 Consecutive Even Integers: 6 Use: x, x + 2, x + 4, … x x+2 x+4

Consecutive Integers 1) Find two consecutive integers whose sum is 225. a) x = 1st integer x + 1 = 2nd integer 1st + 2nd = 225 b) x + x + 1 = 225 2x + 1 = 225 2x = 224 x = 112 x + 1 = 113 112 & 113

TOO #2 Answer: A) x = 1st even integer x+2= 2nd even integer B) x + x + 2 = 126 C) 62 & 64

Consecutive Integers 3) Find three consecutive odd integers whose sum is 117. a) x = 1st odd integer x + 2 = 2nd odd integer x + 4 = 3rd odd integer b) x + x + 2 + x + 4 = 117 37,39,41 3x + 6 = 117 3x = 111 x = 37 x + 2 = 39 x + 4 = 41

Consecutive Integers 4) Find 2 consecutive integers such that twice the lesser integer increased by the greater is 49. a) x = 1st integer x + 1 = 2nd integer Write an equation smallest largest b) 2x + x + 1 = 49 16 & 17 3x + 1 = 49 3x = 48 x = 16 x + 1 = 17

Homework #7 Factory Worker WS