Let's identify the operations based on each statement:
-
One third of a number is twelve.
- This can be represented as \(\frac{1}{3}x = 12\)
- Operation: Multiplication (implicitly, because we can multiply both sides by 3 to solve for x)
-
Seven less than a number is sixteen.
- This can be expressed as \(x - 7 = 16\)
- Operation: Subtraction
-
The sum of a number and two is eleven.
- This can be represented as \(x + 2 = 11\)
- Operation: Addition
-
The quotient of a number and three is eight.
- This can be expressed as \(\frac{x}{3} = 8\)
- Operation: Division
To summarize:
- Multiplication
- Subtraction
- Addition
- Division