Question

How do you write the word phrases into an algebraic expression? ‘ The number of students interested is twice last year’s group’.

Answer 1

Hint: In this problem, we have to write the given expression into its algebraic expression . We should know some mathematical words to find the required answer. We can first analyse the question, then we can proceed to write the statement. We can first assume x as the number of students and y as the last year’s students. We can see that there is a product where we are given twice the students, we can combine them to get the answer.

Complete step by step solution:
We know that the given statement is,
‘The number of students interested is twice last year’s group’.
We should convert the given expression into its algebraic form.
We can assume x for the number of students.
We can assume y for the number of last year’s students.
Here we have a term ‘twice than’ which means we have to multiply 2 in the required place.
We can then combine the terms with an ‘=’ equal sign, which equate the given expression.
We can now write the algebraic form,
\[\Rightarrow x=2y\]

Therefore, the algebraic expression for ‘The number of students interested is twice last year’s group’ is \[x=2y\].

Note: Students make mistakes while writing the correct word for the respective mathematical expression. We should remember that we can combine the terms with an ‘=’ equal sign, which equate the given expression. The term ‘twice than’ which means we have to multiply 2 in the required place.