Okay so, I'm really confused. I don't know what the question is asking me to do... One of them is says "Fifteen times a number is decreased by fifteen. This result is then increased by two times the number. The result is negative 5 times the original number minus the opposite of ten" I'm so lost! Help please
Break it down piece by piece and write as you do. Here, like this:
"Fifteen times a number"
Ok, I'll call my number Q, just because I'm tired of X. So, I write 15Q, because that's "fifteen times a number". Next:
"decreased by fifteen." Um, ok.
15Q - 15 (right? You see what I did there?)
"This result is then increased"
15Q - 15 +
"by two times the number."
15Q - 15 + 2Q
Now here it gets a little wonky. I'm interpreting it like so:
"The result is"
15Q - 15 + 2Q = (So, I'm seeing this as building an equation)
"negative 5 times the original number"
15Q - 15 + 2Q = -5Q
"minus the opposite of ten"
Here, recall that "opposite" simply refers to the one on the other side of 0. So the opposite of 10 is -10. The opposite of -4 is 4. So watch closely:
15Q - 15 + 2Q = -5Q - (-10)
From here, you can solve for Q on your own. :)
Hope this helps!