If 3a = 27, what is a?

If 3a = 27, what is a?

• A. A) 8
• B. B) 9
• C. C) 10
• D. D) 11

Answer: (B)

To determine the value of \( a \) from the equation \( 3a = 27 \), you need to isolate \( a \) on one side of the equation. This is done by dividing both sides of the equation by 3. So, you have: \[ 3a = 27 \] Dividing both sides by 3 yields: \[ a = \frac{27}{3} \] Calculating that gives: \[ a = 9 \] This shows that the correct value of \( a \) is 9, which matches the selected response. Understanding the process of isolating the variable and performing division is key in solving equations like this one.

To determine the value of ( a ) from the equation ( 3a = 27 ), you need to isolate ( a ) on one side of the equation. This is done by dividing both sides of the equation by 3.

So, you have:

[

3a = 27

]

Dividing both sides by 3 yields:

[

a = \frac{27}{3}

]

Calculating that gives:

[

a = 9

]

This shows that the correct value of ( a ) is 9, which matches the selected response. Understanding the process of isolating the variable and performing division is key in solving equations like this one.