A linear equation is a math sentence that shows that two expressions are equal, and when you graph it, it makes a straight line. It usually looks like:
y = mx + b
y = mx
"If Mr. B says 'quiet' 100 times per class, how many times does he say it per year?
Total 'quiets' per year = 100 * #classes
y = 100x
y = mx+b
"If Mr. B has already said 'quiet' 1000 times and says 'quiet' 100 times per class, how many times does he say it per year?
Total 'quiets' per year = (100 * #classes) + 1000
y = 100x + 1000
Now that we know what they are, we look to solve them using exactly the same processes we practiced in the 'simplify & solve expression' section of the algebra section earlier. Click HERE for the ppt show.
"What about when there is an 'x' on both sides?"
"That's easy; just start canceling out the 'x'." For example, if we look at question (b), 4x + 5 = x + 14, we can delete an 'X' from both sides, like this: 3x + 5 = 14,
⚠️Also don't forget about BODMAS⚠️