College Math CLEP Prep Practice Exam

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What is the standard form of the equation 4x – 3y = 12?

4x - 12 = 3y
y = 4x - 12
3y = 4x + 12
y = 4x + 3

The correct answer is: 3y = 4x + 12

The standard form of a linear equation is Ax + By = C, where A, B, and C are constants. In this equation, 4x - 3y = 12, the coefficients of x and y are not in the correct order (A should be positive and greater than B). Option A is the inverse of the correct answer, where the constant is on the same side as the y variable, violating the standard form. Option B correctly has the constant on the right side, but still does not follow the correct order of the coefficients. Option D has the incorrect constant, as it should be positive 12 instead of positive 3. Only option C correctly follows the standard form of the equation.