Question

How do you write an algebraic expression for the word phrase: the sum of 15 and ‘w’?

Answer 1

Hint: Algebra refers to the representation of numbers by alphabets in a formula or equation involving mathematical operations. In algebra we take an alphabet that represents a variable unknown quantity, just like a statement tells us the relation between specific words, algebraic equations tell us the relationship between the unknown variables, algebra helps in converting a mathematical statement into an equation. In the question, we are given a mathematical statement and we have to convert it into an algebraic expression using the information given above.

Complete step-by-step solution:
Given, the sum of 15 and ‘w’.
Here 15 is a number and ‘w’ is a variable which is unknown.
If we have sum in the word formation we need to apply the operation addition.
That is the algebraic expression of “the sum of 15 and ‘w’ is
\[ \Rightarrow 15 + w\]

Note: Algebra is used to define more generalized terms; it is a very vast branch of mathematics and is used in all the branches of mathematics like polynomials, linear equations, graphs, etc. and in daily life too. For example in an arithmetic progression, each term is the sum of the previous term and the common difference, so with the help of algebra, we found out a generalized expression for the nth term of the sequence and the sum of all the terms in the sequence; we can find many more examples of algebra used in various branches of mathematics.