Final answer:
The correct sentence that represents the equation 834 = 17 - x is option b) x = 834 - 17, as subtracting 17 from both sides isolates x on one side of the equation.
Step-by-step explanation:
The sentence that represents the equation 834 = 17 - x is option b) x = 834 - 17. To arrive at this answer, we perform two steps. First, we acknowledge the given equation is a subtraction equation where x is subtracted from 17 to yield 834. To find the value of x, we need to isolate it on one side of the equation. We can do this by subtracting 17 from 834. This is a demonstration of the principle of balancing equations, where the same operation is applied to both sides of the equation.
Therefore, subtracting 17 from both sides of the equation will give us the value of x. Mathematically, this is written as x = 834 - 17. This means option b is correct as it correctly displays the operation needed to find the value of x given the initial equation.