Question

How do you express the phrase “the sum of v and 3” as an algebraic expression?

Answer 1

In mathematics, when we have to convert a statement into a mathematical equation, we take the
help of algebra. An algebraic expression is a mathematical equation that is a combination of both
numerical values and alphabets. In this question, we are given a statement that we have to express
as an algebraic expression. We know that the addition of two numbers is written in statement form
as the sum of two numbers, that is, we are given that v and 3 are in addition. Thus we can easily
frame this statement as a mathematical expression.

Complete step by step answer:
The number 3 and the term “v” are in addition with each other, as we know that the addition of two numbers is represented by a plus sign, so in mathematical expression we have to put the plus sign between these two terms –

Hence, $v + 3$ is the algebraic expression representing the statement “the sum of v and 3”.

Note: In simple words, in algebra we use alphabets to represent numbers to get a more generalized expression or formula or equation, they also involve mathematical operations. For example, we know that each term of an arithmetic sequence is equal to the sum of the previous term, so if we suppose the first term to be “a” and the common difference to be “d”, then the second term is a+d, the third term is a+2d, the fourth term is a+3d and so on, so, we find a generalized expression for obtaining the nth term of the AP that is ${a_n} = a + (n - 1)d$ .