Demarco wrote two correct variable expressions to represent the phrase “the product of a number and 7”.

Question

Which variable expressions could Demarco have written?

Select each correct answer.



Responses

n⋅7
n times 7

7n
7 n

7n
7 over n

n7

Answer 1

The phrase "the product of a number and 7" can be represented mathematically as the multiplication of a variable (let's denote it as \( n \)) and the number 7.

Here are the correct variable expressions that represent this phrase:

1. n⋅7 (which represents \( n \times 7 \))
2. 7n (which also represents \( 7 \times n \))
3. n times 7 (which is a verbal description, but effectively means the same as the above)

The incorrect options are:

• 7 n (this is incorrect because it is not a standard format; there should be no space, it should be 7n)
• 7 over n (this represents division, not multiplication)
• n7 (although it can be interpreted as \( n \times 7 \), it is unconventional to write the variable next to the number without an operator, which might lead to confusion).

Thus, the correct answers are:

• n⋅7
• 7n