Question1

The difference of a number and 7 is -8

I put n-7=-8
Is that correct?

Question 2
Six less than the product of four and a number is -5
I put 6-4n= -5

I do not know for question 1. It could be + or -. My guess is that you are right.

question 2 is
4 n - 6 = -5

Thanks

For the second equation

N= 23/4?

4 n = 6-5 = 1

n = 1/4

Thanks a lot

No problem :)

Question 1:

To solve the equation "The difference of a number and 7 is -8," you are on the right track, but there is a small mistake in your equation. Instead of n-7=-8, it should be written as n - 7 = -8. The subtraction operator makes the 7 negative in the equation.

So, the correct equation to represent the situation is:
n - 7 = -8

To solve this equation, you want to isolate the variable n. You can do that by moving the constant term (-7) to the other side of the equation by adding 7 to both sides. This will give you:

n - 7 + 7 = -8 + 7

Simplifying further, you get:

n = -1

Therefore, the value of the number is -1.

Question 2:

For the equation "Six less than the product of four and a number is -5," your equation should be adjusted to represent the situation accurately. Instead of 6 - 4n = -5, it should be written as 4n - 6 = -5.

The correct equation to represent the situation is:
4n - 6 = -5

To solve this equation, you want to isolate the variable n. You can do that by moving the constant term (-6) to the other side of the equation by adding 6 to both sides. This will give you:

4n - 6 + 6 = -5 + 6

Simplifying further, you get:

4n = 1

To isolate n, divide both sides by 4:

4n/4 = 1/4

Simplifying further, you get:

n = 1/4

Therefore, the value of the number is 1/4.