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

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

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Answer 1 · 2016-12-19T00:19:27

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

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

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:

$5,2 and 1$ .

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:

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

Answers: (See Below)

Simplified Expression: $4n-3$

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

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

Constants: $-3$ .

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

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