The sum of two consecutive integers is -15. what is the product of the two integers?

x + x+1 =-15

2x = -16
x = -8

so the two numbers are -8 and -7
their product = 56

how did you figure out all of that? how did you get -16? and -8?

As you can see in my post , I solved the equation that I formed from the English sentences.

At what grade level are you studying this ?

I'm in 8th grade and this is a 9th grade class. I was just wondering because she gave it to us without going over it slowly...

To find the product of two consecutive integers, we first need to determine the two consecutive integers.

Let's assume the first integer is represented by 'x'. Since the integers are consecutive, the second integer can be represented as 'x + 1', as it will be one unit greater than the first integer.

According to the given information, the sum of the two integers is -15. Therefore, we can write the equation as:

x + (x + 1) = -15

Now, let's solve this equation to find the value of 'x':

Combine like terms:
2x + 1 = -15

Subtract 1 from both sides:
2x = -16

Divide both sides by 2:
x = -8

Now that we have found the first integer, we can find the second integer by adding 1 to the value of 'x':

x + 1 = -8 + 1 = -7

So, the two consecutive integers are -8 and -7.

To find the product of these integers, simply multiply them:

Product = -8 * -7 = 56

Therefore, the product of the two consecutive integers -8 and -7 is 56.