Question

Jacob is solving the equation 9² = 27 for q. His work is shown below.

9² = 27
81 = 27
3q = A
q = B

What are the correct values for A and B?

A) A = 3, B = 1

B) A = 9, B = 3

C) A = 18, B = 6

D) A = 81, B = 27

Answer 1

To solve for q in the equation 9² = 27, we need to isolate q and correct the given work. The correct values for A and B are A = 18 and B = 6.

Step-by-step explanation:

To solve for q in the equation 9² = 27, we need to isolate q. The given work is incorrect as it does not follow the rules of arithmetic.

The correct solution to the equation is:

• 9² = 81
• 81 = 27 + 3q (expanded expression)
• 81 - 27 = 3q
• 54 = 3q
• 54/3 = q
• q = 18

Therefore, the correct values for A and B are A = 18 and B = 6.