2.7 Problem Solving: Consecutive Integers

• Objective: To write equations to represent relationships among integers.

• Warm – up: Evaluate each expression if n = 7.1) n + 1 2) n + 23) 2n 4) 2n + 15) 2n – 1 6) n + (n + 1) + (n + 2)7) n + (n + 2) + (n + 4)

2.7 Problem Solving: Consecutive Integers

Explanationo What does the word

“consecutive” mean?o When you go to the deli at the

grocery store, what do you do?o When you count by ones from

any number in the set of integers, you obtain consecutive integers.o {4, 5, 6, 7, 8, 9, 10}o {-2, -1, 0, 1}

Write the next four integers in natural order after…

o 15

o -6

o 102

o n

o d

2.7 Problem Solving: Consecutive Integers

Examples:o If w = 3, what are the values

of w + 1, w + 2, w + 3?o If x = 15, represent 14 and

16 in terms of x.o If y = 12, represent 8, 10, 14

and 16 in terms of y.o If m is and odd number, is

m + 1 even or odd? m + 2?o If m is even and n is odd, is

m + n even or odd? mn?

Write the equation to represent the given relationship.

o The sum of three consecutive integers is 68.

o The sum of four consecutive integers is -25.

o The sum of two consecutive even integers is 80.

o The sum if three consecutive odd integers is -175.

2.7 Problem Solving: Consecutive Integers

• Homework:– Pg. 77 Written Exercises

#1 – 11 odd