Consecutive Even and Odd Integer Problems

Presentation

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Mathematics

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8th - 10th Grade

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Practice Problem

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Medium

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CCSS

8.EE.C.7B, HSA.CED.A.3

Standards-aligned

Maria Cruz Farooqi

Used 9+ times

FREE Resource

5 Slides • 8 Questions

Consecutive Even and Odd Integer Problems

Consecutive even numbers

2, 4, 6, 8, 10. 12. 14, etc...
Notice that if the first number is x, then the second number is x+2
The third number is x+4.

Consecutive Odd Integers

3, 5, 7, 9, 11, 13, 15, 17, 19, 21, etc
Just like the even integers, the first number is x
The second number is x+2
The third number is x+4
The fourth number would be x+6 and so on.

Multiple Choice

The sum of three consecutive even integers is 138. Find the integers. Which is the correct way to represent the three consecutive even integers?

Let x = first integer

Let x+1 = the 2nd even integer

Let x+2 = the 3rd even integer

Let x = first integer

Let x+2 = the 2nd even integer

Let x+4 = the 3rd even integer

Poll

I am good at setting up and solving consecutive integer problems.

I strongly agree

I agree

I kind of agree

I don't agree

Open Ended

Twice the larger of two consecutive integers is equal to fifteen less than three times the smaller.

$Let\ x\ =\ 1st\ \ con\sec utive\ integer$

Let\ x+1\ =\ 2nd\ \left(l\arg er\right)\ con\sec utive\ integer

What are the two consecutive integers?

Type response here

Multiple Choice

The sum of three consecutive even integers is 138. Find the integers. Which is the correct equation to solve this problem?

$x+x+1+x+2=138$

$x+x+2+x+4=138$

Multiple Choice

The sum of three consecutive even integers is 138. Find the integers.

$x+x+2+x+4=138$

$3x+6=138$

$\left\{44,\ 46,\ 48\right\}$

$\left\{42,\ 44,\ 46\right\}$

$\left\{40,\ 42,\ 44\right\}$

$\left\{24,\ 44,\ 48\right\}$

Fill in the Blanks

Type answer...

Multiple Choice

The sum of three consecutive odd integers is 17 less than four times the smallest integer. Which is the correct equation?

$x+x+1+x+3=17$

$x+x+2+x+4=4x-17$

Multiple Choice

The sum of three consecutive odd integers is 17 less than four times the smallest integer.

$x+x+2+x+4=4x-17$

$3x+6=4x-17$

What are the three consecutive odd integers?

$\left\{21,\ 22,\ 23\right\}$

$\left\{21,\ 23,\ 25\right\}$

$\left\{23,\ 25,\ 27\right\}$

$\left\{22,\ 24,\ 26\right\}$

Consecutive Even and Odd Integer Problems

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