2 ­ Consecutive Integers.notebook
November 29, 2016
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2 ­ Consecutive Integers.notebook
November 29, 2016
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2 ­ Consecutive Integers.notebook
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2 ­ Consecutive Integers.notebook
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Nov 29, 2016
Aim: Consecutive Integers Do Now
Write an expression to represent the sum of
2 m ­ 1 1 and 5 m ­ 1 1
3
6
6
3
4
2 ­ Consecutive Integers.notebook
November 29, 2016
Nov 29, 2016
Aim: Consecutive Integers Do Now
Write an expression to represent the sum of
2 m ­ 1 1 and 5 m ­ 1 1
3
6
6
3
5
2 ­ Consecutive Integers.notebook
November 29, 2016
Consecutive Integers are integers that follow in a sequence Consecutive Integers
Consecutive EVEN Consecutive ODD Integers
Integers
11
24
51
12
26
53
13
28
55
14
30
57
15
32
59
16
34
61
17
36
63
...
...
...
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2 ­ Consecutive Integers.notebook
November 29, 2016
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2 ­ Consecutive Integers.notebook
November 29, 2016
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2 ­ Consecutive Integers.notebook
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2 ­ Consecutive Integers.notebook
November 29, 2016
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2 ­ Consecutive Integers.notebook
November 29, 2016
x
9
10
x + 1
x + 2
12
14
x
x + 2
9
x
x + 2
x + 4
11
x + 4
11
2 ­ Consecutive Integers.notebook
x + x + 1 = 77
2x + 1 = 77
­ 1 ­ 1
2x = 76
2 2
x = 38
November 29, 2016
Let x = an integer
Let x + 1 = the next consecutive integer
The integers are 38 and 39.
Let x = the first integer
Let x + 2 = the second consecutive odd integer
Let x + 4 = the third consecutive odd integer
2(x + x + 4) = 132
2(2x + 4) = 132
4x + 8 = 132
­ 8 ­ 8
4x = 124 4 4
x = 31 The integers are 31, 33 and 35
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2 ­ Consecutive Integers.notebook
November 29, 2016
Let x = an integer
Let x + 1 = the next consecutive integer
x + x + 1 = 193
2x + 1 = 193
­ 1 ­ 1
2x = 192
2 2
x = 96 The integers are 96 and 97.
Let x = an integer
Let x + 2 = the next consecutive odd integer
Let x + 4 = the 3rd consecutive odd integer
The integers are 17, 19 and 21.
2(x + 2 + x + 4) = 80
2(2x + 6) = 80
4x + 12 = 80
­ 12 ­ 12
4x = 68
4 4
x = 17
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2 ­ Consecutive Integers.notebook
November 29, 2016
Let x = an integer
Let x + 1 = the next consecutive integer
2x + 3(x + 1) = 98
2x + 3x + 3 = 98
5x + 3 = 98
­ 3 ­ 3
5x = 95
The integers are 19 and 20.
5 5
x = 19
Let x = an integer
Let x + 2 = the next consecutive even integer
x + x + 2 = ­ 26
2x + 2 = ­ 26
­ 2 ­ 2
2x = ­ 28
2 2
x = ­ 14 The integers are ­ 14 and ­ 12.
Let x = the first consecutive integer
Let x + 1 = the second consecutive integer
Let x + 2 = the third consecutive integer
The integers are 8, 9, and 10.
3x = 14 + x + 2 3x = 16 + x ­ x ­ x 2x = 16
2 2
x = 8
14