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Algebra / Linear inequalities in one or two variables Difficulty: Easy

Tom scored 85, 78, and 98 on his first three exams in history class. Solving which inequality gives the score, G, on Tom’s fourth exam that will result in a mean score on all four exams of at least 90 ?

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Explanation

Choice C is correct. The mean of the four scores (G, 85, 78, and 98) can be expressed as $the fraction with numerator G, plus 85, plus 78, plus 98, and denominator 4$ . The inequality that expresses the condition that the mean score is at least 90 can therefore be written as $the fraction with numerator G, plus 85, plus 78, plus 98, and denominator 4, is greater than or equal to 90$ .

Choice A is incorrect. The sum of the scores (G, 85, 78, and 98) isn’t divided by 4 to express the mean. Choice B is incorrect and may be the result of an algebraic error when multiplying both sides of the inequality by 4. Choice D is incorrect because it doesn’t include G in the mean with the other three scores.