Q40. - Algebra 1

Question

Consuelo and James are writing an algebraic expression for three times the sum of n squared and 3. Is either of them correct? Explain your reasoning.

Step-by-Step Solution

Answer

Consuelo is correct for writing $3(n^2+3)$.

Step 1. Apply the concept of Verbal expression.

A mathematical statement expressed in words is known as a verbal expression.

Step 2. Write the equation for the given statement.

The given statement is Three times the sum of $n$ squared and 3.

According to the statement we need to multiply three with the sum of $n$ squared and 3.

This can be written as $3(n^2+3)$.

Step 3. Check whether Consuelo is correct or James.

Consuelo and James are writing an algebraic expression as $3(n^2+3)and3n^2+3$.

Now by comparing, we can observe that Consuelo is correct.