Question

How do you write “the product of 18 and q” as an algebraic expression?

Answer 1

Hint: Here we will observe the keyword and identify the mathematical operation required. Then using this we will express the given phrase as an algebraic expression. An algebraic expression is an expression which is made up of variables and constants and is connected with the help of mathematical operations such as addition, subtraction, multiplication and division.

Complete step-by-step answer:
The statement given to us is “the product of 18 and \[q\]”.
That means we have to use multiplication operations or we can say we have to multiply the two values given to us.
So, the product of 18 and \[q\] \[ = 18 \times q = 18q\]

Therefore, the algebraic expression of the given word phrase can be written as \[18q\].

Additional Information:
We have many keywords to represent the arithmetic operation where some of the keywords are listed here. The keywords to represent addition are plus, added to, increased by, more than, a total of, the sum of. The keywords to represent subtraction are minus, the difference of, subtracted from, decreased by, less than. The keywords to represent multiplication are times, the product of two terms. The keywords to represent division are divided by, the quotient of, the ratio of, divided into.

Note:
We have many ways to represent an algebraic expression into the word phrase. We should know that there is no single strategy for converting an algebraic expression into a word phrase and vice versa. Word phrase is a way of representing the algebraic expression or mathematical expression in the form of sentences using the keywords. We should remember it is enough for us to write only the expression rather than evaluating the expression.