College Algebra CLEP Prep Practice Exam

Disable ads (and more) with a membership for a one time $2.99 payment

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!

Each practice test/flash card set has 50 randomly selected questions from a bank of over 500. You'll get a new set of questions each time!

Practice this question and more.

Which of the following is an equation of the circle with center (3,2) and a radius of 5?

x^2 + y^2 = 7
(x - 3)^2 + (y - 2)^2 = 7
(x - 3)^2 + (y - 2)^2 = 25
x^2 + y^2 = 25

The correct answer is: (x - 3)^2 + (y - 2)^2 = 25

Option A is incorrect because the radius is not squared and does not match the given circle's radius of 5. Option B is also incorrect because the equation is missing the radius and it is not centered at (3,2). Option D is incorrect because the equation is not centered at (3,2). The correct equation must have the center coordinates, followed by the radius squared. Therefore, option C, (x-3)^2 + (y-2)^2 = 25, is the correct equation. This allows for a circle with the center at (3,2) and a radius of 5, because when the coordinates are substituted in, the equation becomes (3-3)^2 + (2-2)^2 = 0 + 0 = 25, which satisfies the equation of a circle, (x-h)^2 + (y-k