Question

1. use \the product of 6 and the sum of 3 times a number n and 5\ to answer the questions below.

a. write an expression that represents the statement.

b. explain how you decided what operation symbols to use in your expression.

Explanation:

Part A

Step1: Identify the sum part

The sum of 3 times a number \( n \) and 5. "3 times a number \( n \)" is \( 3n \), and the sum with 5 is \( 3n + 5 \).

Step2: Find the product with 6

The product of 6 and the sum from Step 1. So we multiply 6 by \( (3n + 5) \), giving \( 6(3n + 5) \).

• "Sum" implies addition, so we add \( 3n \) (3 times \( n \)) and 5, forming \( 3n + 5 \).
• "Product" implies multiplication, so we multiply 6 by the sum \( 3n + 5 \), hence using parentheses to group the sum first (order of operations) and the multiplication symbol (implied by the parentheses or \( \times \), but parentheses are standard here).

Answer:

\( 6(3n + 5) \)

Part B