College Math Placement Practice Test

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Prepare for the College Math Placement Test. Use quizzes and practice questions, complete with hints and explanations, to develop your problem-solving skills. Get ready to succeed!

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

The correct answer is: 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 $.