Question

How do you write the variable expression \[2p + 3\] represents the word phrase?

Answer 1

Hint: Here, we will write each term as a word phrase and then combine it to make a complete statement. An algebraic expression is defined as an expression that is a combination of variables, constants and operators. The algebraic expression has no signs or equal signs like an algebraic equation.

Complete step by step solution:
We are given with an algebraic expression \[2p + 3\].
We know that an unknown number is usually represented by a variable.
\[2p\] can be represented in the word phrase as “twice the number”.
\[ + 3\] can be represented in the word phrase by the keywords as “the sum of three” or “three more than”.

Therefore, the variable expression \[2p + 3\] can be represented in the word phrase as “the sum of three and twice the number” or “three more than twice a number”.

Additional Information:
We should know that there is no single strategy for converting an algebraic expression into a word phrase. We have many keywords to represent the arithmetic operation. 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 know that a number of terms will add up to form an expression. A term is a product of its factors and factors are defined as a number or a variable. Variables are represented by the alphabets whereas constants are the numerical part. We have many ways to represent an algebraic expression into the word phrase. Word phrase is a way of representing the algebraic expression in the form of sentences using the keywords. We have many keywords to represent the algebraic expression as word phrases.