Marilee wants to earn an "A" in a class and needs an overall average of at least 92. Her test grades are 98, 98, 95, and 91. The average of her quizzes is 83 and counts as one test grade. The final exam counts as 2 test grades. What scores on the final exam would result in Marilee's overall average of 92 or greater?
Let F be the grade Marilee needs on the final exam.
Marilee's total number of test points is 2 * F + 98 + 98 + 95 + 91.
Her total number of points is 4 * 92 = 368.
Marilee needs the sum of her points divided by the number of tests, which is 7, to be greater than or equal to 92.
Thus the equation is (2F + 382) / 7 ≥ 92
Multiply both sides of the equation by 7.
2F + 382 ≥ 644
Subtract 382 from both sides of the equation.
2F ≥ 262
Divide both sides of the equation by 2.
F ≥ 131
Marilee needs to score 131 or greater on the final exam to achieve her desired grade. Answer: \boxed{131}.