Question

a phrase is shown.
seven times the sum of a number, n, and four
which expression represents the phrase?
a. 4(n + 7)
b. 7(n + 4)
c. 7n + 4
d. n(4 + 7)

Explanation:

Step1: Analyze the phrase structure

The phrase is "seven times the sum of a number, \( n \), and four". First, we find the sum of \( n \) and four, which is \( n + 4 \).

Step2: Multiply the sum by seven

Then, we multiply this sum by seven. So the expression is \( 7(n + 4) \).

Now let's check the options:

• Option A: \( 4(n + 7) \) represents 4 times the sum of \( n \) and 7, which does not match the phrase.
• Option B: \( 7(n + 4) \) matches our derived expression.
• Option C: \( 7n + 4 \) represents seven times \( n \) plus 4, not seven times the sum of \( n \) and 4.
• Option D: \( n(4 + 7) \) represents \( n \) times the sum of 4 and 7, which does not match the phrase.

Answer:

B. \( 7(n + 4) \)