Let's analyze the given questions and answers.

The two equations are:

• Equation A: $3(x + 2) = 18$
• Equation B: $x + 2 = 6$

Question 1: How can we get Equation B from Equation A?

To transform Equation A into Equation B, we can simplify it as follows:

1. Start with Equation A: $3(x + 2) = 18$
2. Divide both sides by 3 to isolate $x + 2$: $x + 2 = 6$

So, the correct answer is C. Multiply/divide both sides by the same non-zero constant, as dividing by 3 on both sides transforms Equation A into Equation B.

Question 2: Based on the previous answer, are the equations equivalent? Do they have the same solution?

Since dividing both sides by 3 does not change the solution of the equation, Equation A and Equation B are equivalent. They represent the same relationship and, therefore, have the same solution for $x$.

So, the correct answer is A. Yes.

If you have any questions or would like further clarification, let me know.

Here are 5 related questions for further practice:

1. How would you solve for $x$ in Equation A directly?
2. What is the value of $x$ that satisfies both equations?
3. If Equation A were $3(x + 2) = 21$, how would you derive the new equivalent equation?
4. Why is dividing by the same constant on both sides of an equation valid for maintaining equivalence?
5. How would adding or subtracting the same quantity from both sides affect the equation’s solution?

Tip: Always verify equivalency by testing if operations applied to both sides maintain the same solution set.