College Math CLEP Prep Practice Exam

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Which of the following is a linear equation?

3x - 2y = 7
4x – 2 = 2
y2 + 3x = 4
2y/x = 9

The correct answer is: 3x - 2y = 7

A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable. It involves a linear relationship between two variables, where the graph of the equation forms a straight line. In this case, the equation 3x - 2y = 7 satisfies these conditions, making it the only linear equation option among the four choices. Option B is incorrect because the x and constant terms are on the same side, creating a non-linear equation. Option C is incorrect because of the squared term, which makes it a quadratic equation, not a linear one. Option D is incorrect because of the division of variables, which also creates a non-linear equation. Overall, only option A fits the definition of a linear equation, making it the correct answer.