classrooms on one side of the science building are all numbered with consecutive odd intregers. 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 four classroom numbers in a row
To find the sum of the first four classroom numbers in a row, we need to determine the consecutive odd integers starting from the given number x.
Since the classrooms on one side of the science building are all numbered with consecutive odd integers, we know that the next odd integer will be x + 2. Similarly, the following odd integer will be x + 4, and the fourth odd integer will be x + 6.
So, the expression for the sum of the first four classroom numbers in a row is:
x + (x + 2) + (x + 4) + (x + 6)
Now, we can simplify the expression:
x + x + 2 + x + 4 + x + 6
By combining like terms, we get:
4x + 12
Therefore, the expression in terms of x for the sum of the first four classroom numbers in a row is 4x + 12.