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Linear inequalities in one or two variables SAT question
Math · Algebra · Easy · Answer it here, explanation included.
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 ?
ExplanationShow
Choice C is correct. The mean of the four scores (G, 85, 78, and 98) can be expressed as 
. The inequality that expresses the condition that the mean score is at least 90 can therefore be written as 
.
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.
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