Download 3.4 - Consecutive Integer Problems PARTIAL.notebook

3.4 ­ Consecutive Integer Problems PARTIAL.notebook
November 02, 2015
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
Oct 18­6:39 AM
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3.4 ­ Consecutive Integer Problems PARTIAL.notebook
November 02, 2015
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.
Oct 18­6:39 AM
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3.4 ­ Consecutive Integer Problems PARTIAL.notebook
November 02, 2015
Aim: Consecutive Integer Problems
Ex. 1: Find three consecutive integers
whose sum is 24.
Oct 18­6:39 AM
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3.4 ­ Consecutive Integer Problems PARTIAL.notebook
November 02, 2015
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.
Oct 18­6:39 AM
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3.4 ­ Consecutive Integer Problems PARTIAL.notebook
November 02, 2015
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.
Oct 18­6:39 AM
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3.4 ­ Consecutive Integer Problems PARTIAL.notebook
November 02, 2015
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.
Oct 18­6:39 AM
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3.4 ­ Consecutive Integer Problems PARTIAL.notebook
November 02, 2015
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.
Oct 18­6:39 AM
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3.4 ­ Consecutive Integer Problems PARTIAL.notebook
November 02, 2015
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.
Oct 18­6:39 AM
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3.4 ­ Consecutive Integer Problems PARTIAL.notebook
November 02, 2015
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.
Oct 18­6:39 AM
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3.4 ­ Consecutive Integer Problems PARTIAL.notebook
November 02, 2015
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.
Oct 18­6:39 AM
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3.4 ­ Consecutive Integer Problems PARTIAL.notebook
November 02, 2015
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.
Oct 18­6:39 AM
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3.4 ­ Consecutive Integer Problems PARTIAL.notebook
November 02, 2015
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?
Oct 18­6:39 AM
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