College Algebra CLEP Prep Practice Exam

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Prepare for the College Algebra CLEP Test with our comprehensive practice exam. Study with flashcards and multiple choice questions, each offering clues and detailed explanations. Achieve your best score and excel in your exam!

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Simplify the expression (3x^2 + 5xy + y^2)/(2x + y).

(3x + 5y)(x + y)/2
(3x + 5y)/(2x + y)
x + y/2
(3x + 5y)x/2

The correct answer is: (3x + 5y)/(2x + y)

The given expression is a fraction with terms in the numerator and denominator. In order to simplify it, we need to factor both the numerator and denominator. Option A is incorrect because it is missing a whole term from the numerator. Option C is incorrect because it only simplifies one term and the other term remains unchanged. Option D is incorrect because it simplifies the numerator too much and removes the term with "y" completely. Option B is the correct answer as it factors the numerator and denominator, and only removes the common factor of (3x+5y) from the numerator leaving (2x+y) in the denominator. This is the simplest form of the expression.