Multiple Choice Question

Question

Lee scored 25 points in yesterday's game. That was 3 more than twice the number of points Alex scored.

Which equation can be used to find, a, the number of points Alex scored?
A.
25 + 3 = 2a

B.
25 = 3 + 2a

C.
2(25) + 3 = a

D.
2(25) = 3 + a

Answer 1

To find the correct equation to determine the number of points Alex scored (represented by \( a \)), we start with the information provided:

Lee's score is given as 25 points, and it's stated that this is 3 more than twice the number of points Alex scored. We can break this down as follows:

1. Twice the number of points Alex scored is \( 2a \).
2. Adding 3 to that gives us: \( 2a + 3 \).

According to the problem, this total (which combines Alex's score and the additional 3 points) is equal to Lee's score of 25 points. Thus, we can set up the equation:

\[ 2a + 3 = 25 \]

Now, if we rearrange this equation, we get:

\[ 25 = 2a + 3 \]

We can rewrite it as:

\[ 25 = 3 + 2a \]

Now looking at the options provided:

A. \( 25 + 3 = 2a \) (incorrect) B. \( 25 = 3 + 2a \) (correct) C. \( 2(25) + 3 = a \) (incorrect) D. \( 2(25) = 3 + a \) (incorrect)

The correct answer is:

B. \( 25 = 3 + 2a \)