# Question #caff4

Mar 7, 2017

$- 3 x + 17$

#### Explanation:

It is important to know and use the correct terminology in Algebra.

Variables are unknowns which can change their values - we use letters to show them.
$a , b , m , p , t , x , y , z$ are all variables.

Constants are values which stay the same and always have the same value. We call them numbers:

$17 , - 51 , 72 , \frac{1}{2} , - 27 , - 2 \frac{3}{4}$ are all constants.

The numerical coefficient is the number part of a term.
The literal coefficient is the letter(variable) part of a term

In the term $3 {x}^{2} y , \text{ } 3$ is the numerical coefficient.
$\textcolor{w h i t e}{\ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots .} {x}^{2} y$ is the literal coefficient.

So in this case, we want a variable with a coefficient of $- 3$ and a constant of 17. We will write two separate terms.

$- 3 x + 17$