Question

Write a verbal expression for the algebraic expression $5x + 8$.

Answer 1

Hint:Algebraic expressions are expressions which is made up of variables and constants along with mathematical algebraic operations which are addition, subtraction, multiplication, division etc.Verbal expressions are mathematical statements expressed in simple understandable words.So by using the above two standard definitions we can solve the question.

Complete step by step answer:
Given algebraic expression: The quotient of $5x + 8....................................\left( i \right)$.
Now we know that in mathematics the algebraic expressions are those expressions which are made up of variables and constants along with mathematical algebraic operations which are addition, subtraction, multiplication, division etc.Also Verbal expressions are mathematical statements which are expressed in simple understandable words.

So here we have to convert the given algebraic statement $5x + 8$ to a verbal statement.
For that we have to take analyze part by part of the given statement:
Let’s take the first part:
$5x = 5 \times \left( x \right)........................\left( {ii} \right)$
On analyzing (ii); we can say that ‘$5x$’ in simple language means 5 times a number \[x\].

Now take the second part:
$ + \,8...............................\left( {iii} \right)$
On analyzing (iii) we can say that ‘$ + \,8$’ in simple language means plus 8.
Now we have to write the verbal expression altogether by joining both the parts:
Such that on joining we can write: 5 times a number \[x\] plus 8.

Therefore the verbal expression for the algebraic expression $5x + 8$ is 5 times a number \[x\] plus 8.

Note:Algebraic expressions are widely useful and popular since it represents the value of an expression for all of the values a variable can take on. While writing an algebraic or a verbal expression some of the commonly used words and their corresponding mathematical operations are given below:
1. Addition : plus, sum, more than
2. Subtraction : subtracted, minus, less than, decreased by
3. Multiplication : times, product
4. Division : divided, quotient
Also care must be taken while identifying the mathematical operations given in a question.