I don't get it...

Question

how do i factor out the coefficient of the variable ex. 1/2q+5/2

Answer 1

In this expression, 1/2 is the coefficient of the variable "q":

1/2q + 5/2

term with the variable: 1/2q

variable: q

coefficient of the variable: 1/2

constant term (without a variable): 5/2

To factor out the coefficient of the variable, you need to divide each term by 1/2:

1/2q + 5/2 = 1/2 (q + 10/2) = 1/2 (q + 5)

Answer 2

find the co efficient of the variable (1/2)q +(5/2)

the variable here is q.

the co efficient of a variable is nothing but the constant number factor of the term with the variable.

so in the given expression the coefficient of variable q is 1/2.

Answer 3

Suppose you have an equation with the left-hand side as you have above, and the right-hand side as some quantity x:

1/2q + 5/2 = x

We can multiply every term by 2 to get:

q + 5 = 2x

Then you have that q = 2x - 5.