Question

Identify the terms, variables, coefficient, and constant for the following variable expressions. 5x+7z+9

Answer 1

We are given the following expression

$5x+7z+9$

Let us identify the terms, variables, coefficients, and constants in the above expression.

A term can be a single number (like 9) or a single variable (like x) or a constant multiplied with a variable (like 5x) or several constants and variables multiplied (like 5x2yz)

So, in the above expression, we have 3 terms

5x, 7z, and 9

A constant is a number whose value is fixed and does not change (like 1, 2, 5, 30 etc.)

So, in the above expression, we have only 1 constant that is 9

A Variable is a value that is not fixed and can change (like x, y, z etc)

So, in the above expression, we have 2 variables

x and z

A coefficient is a number that is being multiplied by a variable (like 5x here 5 is coefficient)

So, in the above expression, we have 2 coefficients

5 and 7

Therefore, the summary is

Terms = 5x, 7z, 9

Constant = 9

Variables = x, z

Coefficients = 5, 7