Question

Classrooms on one side of the language arts building are all numbered with consecutive even integers. If the first room, the room with the smallest classroom number, on this side of the building is numbered ​x, write an expression in x for the sum of the first three classroom numbers in a row. Then simplify this expression.

The sum of the first three classroom numbers in a row is -----

Answer 1

Let x = the first class

Let x +2 = the second class

Let x + 4 = the third class

x + (x + 2) + (x +4) or

x + x +2 + x + 4

3x + 6

Explanation:

Consecutive just means in order

integers are the whole numbers 0,1,2,3... and their opposites ...-3,-2,-1.

Think of any even integer. Let's use 12, for example, what would be the next even integer? 14. And the next? 16.

The second integer is 2 more than the first integer. The third integer is 4 more than the first.