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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When solving the equation (x – 2)^2 = 36, what is the value of x?

The correct answer is: 10

When solving this equation, we first need to isolate the variable x by taking the square root of both sides. Since the equation is already in the form of a perfect square, we can take the square root of both sides without needing to further simplify the equation. √(x-2)^2=√36 |x-2|=6 Next, we need to solve for both the positive and negative values of x, so we need to set up two equations x-2=6 and x-2=-6 Solving for x in each equation, we get: x=8 and x=-4 However, the only value of x that satisfies the original equation is x=10. Therefore, the correct answer is C. Option A is incorrect because it does not take into account the negative solution of x=-4. Option B is incorrect because