Question

How do you write: “ $ 5 $ more than $ 5 $ times a number” in Algebraic form?

Answer 1

Hint: Here, we need to rewrite the given sentence in algebraic form. An algebraic expression is an expression where the variables and the constants are combined. First, we need to separate the given sentence for our convenience so that we are able to express it in algebraic form.

Complete step by step answer:
The given sentence is“ $ 5 $ more than $ 5 $ times a number” and we need to write it in Algebraic form.
Let the unknown number be $ x $ .
Generally, the word “times” refers to multiplying the numbers.
Here it is given that” $ 5 $ times a number”. So we need to multiply five with the unknown number.
Thus we have, $ 5 \times x $ or in simple terms, we can write $ 5x $ .
Also, the word “more than” refers to adding the numbers.
Since it is given” $ 5 $ more than $ 5 $ times a number”, we need to add five and $ 5 $ times a number.
Since we got $ 5x $ for the phrase $ 5 $ times a number, we shall add five and $ 5x $ .
Hence, we have $ 5 + 5x $ .
Therefore, we can write the sentence “ $ 5 $ more than $ 5 $ times a number” in Algebraic form as $ 5 + 5x $

Note:
Since it is asked to represent in algebraic form, we can either represent it as an algebraic expression or an algebraic equation. An algebraic equation is equating a combination of variables and constants to another combination whereas an algebraic expression is an expression where the variables and the constants are combined. In this question, we have not given any information about the equation. So, we expressed it as an algebraic expression.