To solve the problem start by modeling the equation:
"a number" is a unknown so we represent it with x.
We write 1/4 of x as a product:
(1/4)x
If we add that to -45 we get
-45+(1/4)x
is means equal
-45+(1/4)x = -11
Once the sentence is translated into an equation we solve for x to solve for the number it represents using reverse order of operations to solve the equation (SADMEP)
First we address addition/subtraction by adding 45 to each side and we get
-45+45+(1/4)x = -11+45
(1/4)x=34
Then we address multiplication/division by multiplying both sides by the reciprocal of the coefficient of x.
4•(1/4)x=4•34
x=4•34=136
