# How do you identify the terms, like terms, coefficients, and constants in 5n-2n-3+n?

Dec 19, 2016

Like Terms: $5 n$,$- 2 n$ and $n$.

Coefficients: $5$, $- 2$ and $1$.

Constants: $- 3$

#### Explanation:

Like terms are numbers with similar attributes that can be combined. In this case we are given $3$. See below:

5n-2n+n=?

These are like terms and can be combined to get the final number.

$5 n - 2 n + n = 4 n$

The number in front of the variable is called the coefficient. In this case, the coefficient in front of first, second and third $n$ are:

$5 , 2 \mathmr{and} 1$.

There is an invisible $1$ in front of the third coefficient. Do not forget that it will always be $1$ if there is no designated numeral already in front of the coefficient.

A variable is a value that is able to change over the course of an equation.

A constant is a number that that is on it's own. In this example we are given only $1$ constant. See below:

Constants: $- 3$.

Therefore we can re-write this expression simply as:

5n-2n+n-3=?

Now simplify:

$4 n - 3$. Since we aren't solving for $n$, this is our simplified expression.

Simplified Expression: $4 n - 3$
Like Terms: $5 n$,$- 2 n$ and $n$.
Coefficients: $5$, $- 2$ and $1$.
Constants: $- 3$.