Question

How do you translate word phrases to algebraic expression: five more than twice a number?

Answer 1

Hint: Questions in which we have to convert word phrases to algebraic expression. We will look for words like ‘more than’, ‘less than’, ‘twice’, ‘half’ and similar words. Here by ‘more than’ we mean ‘$ + $’, by ‘less than’ we mean ‘$ - $’, by ‘twice’ we mean multiply by $2$ and by ‘half’ we mean divide by $2$. Try to do it by yourself before looking at a complete solution once.

Complete step by step solution:
In this question we need to translate a word phrase into an algebraic equation. So this is the given word phrase which we have to convert to an algebraic expression is
“Five more than twice a number”
Let us first assume that the number to be $x$.
The given word phrase contains “twice a number” which means multiplying the number by $2$.
So algebraic expression will be of form $2x$. Now in the word phrase by “more than” we mean we are adding something.
So our algebraic expression will be of form $2x + $ . Now we are left only with what to add in algebraic expression.
Now in the word phrase by “five” we mean numeral $5$ .
So our final algebraic expression from the word phrase is $2x + 5$.
Word phrase “Five more than twice a number” in the form algebraic expression will be written as $2x + 5$.

Note: This kind of question is too easy, you just need to focus on the word phrase. Just do what the word phrase says. Students make mistakes by confusing with “more than” and “less than”, “More than” means ‘$ + $’ and “less than” means “$ - $”.