How to identify the terms, like terms, coefficients and constants in each expression: 8 +...

Mathematical terms are similar to the words in an English phrase.
They are separated from one another by + and signs.
${\displaystyle 8+6t-3t+t}$ has 4 terms before it is simplified.
Similar terms are ones that share all of the same variables.
${\displaystyle 6t-3t+t}$ are all like terms, because they are have ${\displaystyle t}$
A variable represents a number and can change its value.
The integers we employ in mathematics are called constants because their value never changes. A constant is a number.
In this expression , ${\displaystyle 8}$ is the constant.
A term's coefficient is the portion that stands alongside another portion.
The variable portion is referred to as the literal coefficient, and the number up front is typically referred to as the numerical coefficient.
In ${\displaystyle 5x^2}$, the numerical coefficient is 5. The literal coefficient is ${\displaystyle x^2}$
${\displaystyle 5x^2=5\times x\times x}$
The coefficient of ${\displaystyle x}$ is ${\displaystyle 5x}$
In ${\displaystyle 3x{y}^2}$, 3 is the coefficient, ${\displaystyle x{y}^2}$ is the literal coefficient.
${\displaystyle 3x{y}^2=3\times x\times y\times y}$
When asking for a coefficient, it should be specified which coefficient is required.
The coefficient of x is ${\displaystyle 3y^2}$
The coefficient of y is ${\displaystyle 3xy}$
The coefficient of xy is ${\displaystyle 3y}$
The coefficient of 3x is ${\displaystyle y^2}$
The coefficient of 3y is ${\displaystyle 3xy}$