Question

The sum of seven times a number and 1 is equal to six times the number. Write the above sentence as an equation.

A. 7n + 1 = 6n
B. 7n - 1 = 6n
C. 7n = 6n + 1
D. 7n = 6n - 1

Answer 1

The sum of seven times a number and 1 is equal to six times the number. Write the above sentence as an equation.

Answer:

A. 7n + 1 = 6n

Answer 2

The correct equation to represent the statement is '7n + 1 = 6n', which matches option A. In this equation, 'n' represents the unknown number.

Step-by-step explanation:

The student is asking to represent a given statement as a mathematical equation. The statement says that the sum of seven times a number and 1 is equal to six times the number. We can represent 'a number' as 'n'. Thus, the equation that represents the statement is: 7n + 1 = 6n.

Breaking it down step by step:

• Let 'n' represent the unknown number.
• 'Seven times a number' can be written as 7n.
• The sum of 7n and 1 is written as 7n + 1.
• Then, since this sum equals 'six times the number', we set 7n + 1 equal to 6n.

Therefore, the correct option to choose is A. 7n + 1 = 6n.