Here are the answers to your questions based on the statements provided.
Question 1
Responses:
- The word “is” means equals.
- This is an equation because it is written as a complete sentence.
- The operation is addition.
- This is an equation because two expressions are set equal to each other.
Note: “A number” is not a constant; it represents an unknown variable.
Question 2
Responses:
- 8 = j - 4
- Twelve is the sum of a number and six.
- 5x = 45
Note: "30y" and "k + 46" are not complete equations.
Question 3
Responses: Replace “is” with =, “less than” with –, and “a number” with n to get 16 = n - 5.
Question 4
This statement represents: Eight is the quotient of a number and five.
The correct equation is: 8 = n / 5 (or alternatively, n / 5 = 8)
Question 5
Since you haven't provided the responses or options for the students, I can't evaluate them. If you provide the student responses, I can help determine which one correctly applied substitution.