Question

Write an algebraic equation for the following.



The difference of a number squared and the number is one less than four times the number.

A. (x-x)^2=4x-1
B. x-x^2=4x-1
C. x^2-x=1-4x
D. x^2-x=4x-1

Answer 1

If your number is x, the first thing you do to it is square it, so now you have

x^2

Then it says it is the difference (difference indicates subtraction) between the number squared and itself, so if your number is x, then you have

x^2-x

The next thing it says is that it is equal to something else

x^2-x=

Then it says that it is equal to one less than something

x^2-x=___-1

Finally, it says that it is one less than four times your number, x

x^2-x=4x-1

So your answer is d. x^2-x = 4x-1