Question

How do you write phrases for each algebraic expression: $142-19t$?

Answer 1

Hint: The given linear equation of the variable t, $142-19t$ can be expressed both as a binary operation of addition and subtraction. We also break the term $19t$ as the multiplication of an integer and a variable.

Complete step by step answer:
The given expression $142-19t$ is a linear equation of the variable t.
We have a binary operation of subtraction of $19t$ from 142.
We don’t have any information about the characteristics of t.
So, explaining the situation about a subtraction we can write that the subtraction of $19t$ from 142 is mathematically expressed as $142-19t$.
We can also break the multiplication part as the multiplication of integer 19 and a variable t.
Therefore, rephrasing we get the term $142-19t$ describes the subtraction of the multiplication of integer 19 and a variable t, from 142.
We can also explain it as a process of addition. We can write the equation as
$142-19t=142+\left( -19 \right)t$.
Here we changed the integer from 19 to $-19$. Then we take the addition of $-19t$ with 142.
We can also break the multiplication part as the multiplication of integer -19 and a variable t.
Therefore, rephrasing we get the term $142-19t$ describes the addition of the multiplication of integer -19 and a variable t, with 142.

Note: The use of 142 first and taking it to the end doesn’t change the main equation. Both $142-19t$ and $-19t+142$ are the same. The expressions do not change. Also, we need to remember that the phrasing for the equation has to be exactly what is given. We can’t solve the equation to make it easier.