Lesson 122 Consec Int (Day 2 Odd-Even)
Lesson: Solving Consecutive Integer Quadratics (Day 2)
Consecutive Odd & Even Integers
Do Now:
1) If x represents an even integer, represent the next integer in terms of x.
______________
2) If 2n represents a positive integer, represent in terms of n, the next integer.
_________________
3) If n is an odd integer, is 3n even or odd? ___________
Lesson 122 Consec Int (Day 2 Odd-Even)
Lesson 122 Consec Int (Day 2 Odd-Even)
Write the next three consecutive even integers
a) 22,24,26, _________
b) n, n+2, n+4, _______________
Write the next three consecutive odd integers
a) 15, 17, 19, ___________
b) n, n+2, n +4, _____________
Lesson 122 Consec Int (Day 2 Odd-Even)
Directions: Solve algebraically.
1) Find two negative consecutive even integers whose product is 120.
Lesson 122 Consec Int (Day 2 Odd-Even)
Regents Question
___2) Nick and Joe have ages that are consecutive odd integers. The
product of their ages is 783. Which equation could be used to find
j, if he is the younger man?
(1)
(2)
(3)
(4)
j2 + 2 = 783
j2 − 2 = 783
j2 + 2j = 783
j2 − 2j = 783
Lesson 122 Consec Int (Day 2 Odd-Even)
Directions: Solve algebraically.
3) The product of two consecutive positive even integers is 14 more than their sum.
Set up an equation that can be used to find the two numbers and solve it.
Lesson 122 Consec Int (Day 2 Odd-Even)
Directions: Solve algebraically.
4) If the squares of two positive consecutive even integers are added, the result is 100.
Find the integers.
Lesson 122 Consec Int (Day 2 Odd-Even)
Directions: Solve algebraically.
5) Find three consecutive positive integers such that the product of the
first and the third is 29 more than the second.
Lesson 122 Consec Int (Day 2 Odd-Even)
Directions: Solve algebraically.
6) The product of two consecutive even integers is 48. What are the integers
that can satisfy this situation?
Lesson 122 Consec Int (Day 2 Odd-Even)
Regents Prep
1)
2)