Question

1 L1 Consecutive Integer Word Problemsoper, Sha'NiyaThe sum .of 2 consecutive integers is -33. If n is the 1st Integer, which equation best models the situation?

Answer 1

The sum of two consecutive integers is -33. We can pose this as follows:

$n+(n+1)=-33$

Then, we can solve for n:

$2n+1=-33\Rightarrow2n=-33-1\Rightarrow2n=-34\Rightarrow n=\frac{-34}{2}\Rightarrow n=-17$

Then, the integers are:

n = -17,

n+1 = -17+1 = -16.

If we sum them, we have:

-17 - 16= -33.

The equation that best models the situation is:

$n+(n+1)=-33$