Conquer the College Math Placement Challenge 2025 – Step Up and Shine!

Question: 1 / 400

When combining like terms in the expression 4x(2y) + 3y(2−x), what is the coefficient of the term involving xy?

5

To find the coefficient of the term involving \( xy \) in the expression \( 4x(2y) + 3y(2 - x) \), we first need to simplify the expression by distributing each term.

1. Start with the first term:

\[

4x(2y) = 8xy

\]

2. Now, simplify the second term by distributing \( 3y \):

\[

3y(2) - 3y(x) = 6y - 3xy

\]

Putting it all together, we combine these results:

\[

8xy + 6y - 3xy

\]

Next, we combine the like terms involving \( xy \):

\[

(8xy - 3xy) + 6y = 5xy + 6y

\]

The coefficient of the term involving \( xy \) is therefore \( 5 \).

This result aligns with the chosen answer, confirming that the coefficient of the \( xy \) term in the expression is indeed \( 5 \).

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