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Algebra / Linear equations in two variables Difficulty: Easy

A teacher is creating an assignment worth 70 points. The assignment will consist of questions worth 1 point and questions worth 3 points. Which equation represents this situation, where x represents the number of 1 -point questions and y represents the number of 3 -point questions?

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Explanation

Choice D is correct. Since x represents the number of 1 -point questions and y represents the number of 3 -point questions, the assignment is worth a total of 1·x+3·y, or x+3y, points. Since the assignment is worth 70 points, the equation x+3y=70 represents this situation.

Choice A is incorrect and may result from conceptual errors.

Choice B is incorrect and may result from conceptual errors.

Choice C is incorrect and may result from conceptual errors.