LP8­ ConsecInt.Peri.notebook
October 13, 2016
Warm Up:
The length of the second side of a triangle is 2 inches less than the length of the
first side. The length of the third side of the triangle is 12 inches more than the
length of the first side. The perimeter of the triangle is 73 inches. Find the
length of each side of the triangle.
1
LP8­ ConsecInt.Peri.notebook
October 13, 2016
Consecutive Integers
...what are they???
List 4 consecutive positive integers:
______, _____, ______, ______
Now list 4 consecutive negative integers:
______, _____, ______, ______
If x is the first consecutive integer, what are the next 3 consecutive integers
(in terms of x):
______, _____, ______, ______
x
2
LP8­ ConsecInt.Peri.notebook
October 13, 2016
List 4 consecutive ODD integers:
______, _____, ______, ______
Now list 4 consecutive EVEN integers:
______, _____, ______, ______
If x is the first consecutive integer, who are the next 3 consecutive ODD
integers (in terms of x):
______, _____, ______, ______
x
If x is the first consecutive integer, who are the next 3 consecutive EVEN
integers (in terms of x):
______, _____, ______, ______
x
3
LP8­ ConsecInt.Peri.notebook
October 13, 2016
Example #1: Find 3 consecutive integers whose sum is 147
Example #2: Two consecutive integers have a sum of 91. What are the two integers?
4
LP8­ ConsecInt.Peri.notebook
Example #3: October 13, 2016
Find three consecutive odd integers whose sum is 45.
Example #4: Two consecutive even integers have a sum of -26. What are the two integers?
5
LP8­ ConsecInt.Peri.notebook
October 13, 2016
Example #5: Find two consecutive integers whose sum is eleven less
than three times the smaller integer.
Example #6: I'm thinking of three consecutive odd integers.
When I add the larger two the result is nine less than three times the smallest
of them. What are the three consecutive odd integers?
6
LP8­ ConsecInt.Peri.notebook
October 13, 2016
Warm Up:
The length of the shortest side of a right triangle is 8 inches. The lengths of
the other two sides are represented by consecutive odd integers. Which
equation could be used to find the lengths of the other sides of the triangle?
(a)
(c)
(b)
(d)
7
LP8­ ConsecInt.Peri.notebook
October 13, 2016
Regents Practice
Sam and Jeremy have ages that are consecutive odd integers. The product of
their ages is 783. Which equation could be used to find Jeremy’s age, j, if he is
the younger man?
(a)
(c)
(b)
(d)
Sarah was asked to solve this word problem: "The product of two consecutive
integers is 156. What are the integers?" Write the equation Sarah will need to
solve for the integers.
8
LP8­ ConsecInt.Peri.notebook
t
e
k
c
Ti
t
i
x
E
October 13, 2016
To be completed on a SEPARATE piece of paper to be turned
in!!!!!!!!!!!!!
Find three consecutive odd integers that have a sum of 81?
9
October 13, 2016
Homework
LP8­ ConsecInt.Peri.notebook
10