Download 3.4 - Consecutive Integer Problems.notebook

3.4 ­ Consecutive Integer Problems.notebook
October 18, 2016
Aim: Consecutive Integer Problems
Warm-UP:
1. Solve for x: x + (x + 1) = 95
2. Write down:
a) 5 consecutive numbers
b) 5 consecutive even numbers
c) 5 consecutive odd numbers
Aim: Consecutive Integer Problems
Consecutive Integers – integers that follow one another in order.
-Ex: 1, 2, 3
What if my first number is x?
-Write the next two consecutive integers after x.
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3.4 ­ Consecutive Integer Problems.notebook
October 18, 2016
Aim: Consecutive Integer Problems
Ex. 1: Find three consecutive integers
whose sum is 24.
Aim: Consecutive Integer Problems
Consecutive Even Integers – even integers that follow one another in order.
-Ex: 2, 4, 6
What if my first number is x?
-Write the next two consecutive even integers after x.
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3.4 ­ Consecutive Integer Problems.notebook
October 18, 2016
Aim: Consecutive Integer Problems
Consecutive Odd Integers – odd integers that follow one another in order.
-Ex: 1, 3, 5
What if my first number is x?
-Write the next two consecutive odd integers after x.
Aim: Consecutive Integer Problems
Ex. 2 : Find three consecutive odd integers such that the sum of the first
and third results in three times the second, increased by 1.
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3.4 ­ Consecutive Integer Problems.notebook
October 18, 2016
Aim: Consecutive Integer Problems
1. Find two consecutive integers whose sum is 91.
2. Find three consecutive even integers whose sum is -12.
3. Find two consecutive odd integers whose sum is 28.
Aim: Consecutive Integer Problems
4. Find four consecutive integers such that the sum of the second and fourth is 132.
5. Find three consecutive integers such that the sum of the first two is 24 more than the third.
6. Find two consecutive integers such that four times the larger exceeds 3 times the smaller by 23.
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3.4 ­ Consecutive Integer Problems.notebook
October 18, 2016
Aim: Consecutive Integer Problems
7. Find two consecutive even integers such that twice the smaller is 26 less than 3 times the larger.
8. Find three consecutive odd integers such that the largest decreased by 3 times the second is 48.
Aim: Consecutive Integer Problems
9. Find four consecutive odd integers such that the sum of the first three exceeds the fourth by 18.
10. Find three consecutive integers such that the first increased by twice the second exceeds the third by 24.
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3.4 ­ Consecutive Integer Problems.notebook
October 18, 2016
Homework
1. Find two consecutive integers whose sum is -17.
2. Find four consecutive even integers whose sum is 44.
3. Find two consecutive odd integers such that 4 times the larger is 29 more than 3 times the smaller.
Homework
4. Find three consecutive even integers such that the sum of the smallest and
twice the second is 20 more than the third.
5. Two consecutive odd integers have a sum of 48. What are the two odd integers?
6. What three consecutive odd integers have a sum of 27?
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