Question

How do you write the phrase as a variable expression: the product of \[ - 6\] and the sum of a number and \[ - 1\]?

Answer 1

Hint: Here, we will use the keyword of the phrase to write the expression in parts. We will then combine each part to form the required algebraic expression. An Algebraic expression is defined as an expression with both the numbers and the variables and the arithmetic operators like plus, minus, etc.

Complete Step by Step Solution:
We are given the phrase the product of \[ - 6\] and the sum of a number and \[ - 1\].
Let the unknown number be represented in the form of variable as \[x\].
We know that the keyword “the sum of a number and \[ - 1\]” represents the arithmetic operation of addition.
So, the sum of a number and \[ - 1\] can be written as \[x + \left( { - 1} \right)\].
We know that the keyword “the product of” represents the arithmetic operation of multiplication.
So, the phrase the product of \[ - 6\] and the sum of a number and \[ - 1\] can be written as \[ - 6 \times \left( {x + \left( { - 1} \right)} \right)\].

Therefore, the phrases the product of \[ - 6\] and the sum of a number and \[ - 1\] can be represented in the form of a variable expression as \[ - 6 \times \left( {x + \left( { - 1} \right)} \right)\].

Note:
We know that Arithmetic expression or Mathematical expression is defined as an expression with the numbers and the arithmetic operators like plus, minus etc. We have many ways to represent an algebraic expression into the word phrase. Word phrase is a way of representing the algebraic expression or mathematical expression in the form of sentences using the keywords. We should know that there is no single strategy for converting an algebraic expression into a word phrase and vice versa.