Question

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

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**