Elise Middleton

2023-03-14

How to identify the terms, like terms, coefficients and constants in each expression: 8 + 6t - 3t + t?

jumanivitavir

Mathematical terms are similar to the words in an English phrase.
They are separated from one another by + and signs.
$8+6t-3t+t$ has 4 terms before it is simplified.
Similar terms are ones that share all of the same variables.
$6t-3t+t$ are all like terms, because they are have $t$
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 , $8$ 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 $5{x}^{2}$, the numerical coefficient is 5. The literal coefficient is ${x}^{2}$
$5{x}^{2}=5×x×x$
The coefficient of $x$ is $5x$
In $3x{y}^{2}$, 3 is the coefficient, $x{y}^{2}$ is the literal coefficient.
$3x{y}^{2}=3×x×y×y$
When asking for a coefficient, it should be specified which coefficient is required.
The coefficient of x is $3{y}^{2}$
The coefficient of y is $3xy$
The coefficient of xy is $3y$
The coefficient of 3x is ${y}^{2}$
The coefficient of 3y is $3xy$

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