Question

How do you write an algebraic expression for the phrase: the sum of eighty-nine and a number?

Answer 1

Hint: To expression a verbal phrase as an algebraic expression, we need to break the phrase into different parts. Write the mathematical expression for each part, and finally combine the expressions for all the parts, we get the algebraic expression for the given phrase. For this question, we should know that sum is the addition operation in mathematics.

Complete step-by-step solution:
The given phrase is the sum of eighty-nine and a number. We will break this phrase into three parts.
The first part is ‘the sum of’. We know that the sum is mathematical operation performed between two entities. This means that we have to take addition of the quantities.
The second part of the phrase is ‘eighty-nine’. We already know that we need to take the sum, one of the given quantities is 89.
The third part of the phrase is ‘and a number’. We will take variable x as the number for this number.
Now that we have converted both parts into mathematical expressions, we need to combine them to form the expression for the given phrase. By doing this we get
\[89+x\]
Hence, the expression for the given phrase is \[89+x\].

Note: We can do a similar thing to convert an algebraic expression to a verbal phrase. We need to break the equation into different parts and write verbal meaning for each part. After this after combining the verbal meaning of each phrase, we get the verbal expression.