GWD 28-32 Q5. Is |x| < 1 ? (1) |x+1| = 2|x-1| (2) |x-3| not equal to 0 Q10. Six card numbered from 1 to 6 are place in an empty bowl. First one card is drawn and then put back into the bowl; then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 8, what is the probability that one of the two cards drawn is numbered 5 ? A. 1/6 B. 1/5 C. 1/3 D.2/5 E. 2/3 Q18. The function f is defined by f(x)= ˇx-10 for all positive numbers x. If u = f(t) for some positive number t and u. What is t in terms of u? A. ˇ(u+10) B. (ˇu+10)^2 C. ˇ(u^2+10) D. (u+10)^2 E. (u^2+10)^2 Q30. A rectangular photograph is surrounded by a border that is 1 inch wide on each side. The total area of the photograph and the border is M square inches. If the border gad been 2 inches wide on each side, the total area would have been (M+52) square inches. What is the perimeter of the photograph, in inches? Q32. Seven different numbers are selected from the integers 1 to 100, and each number is divided by 7. What is the sum of the remainders? (1) The range of the seven remainders is 6. (2) The seven number selected are consecutive integers. Q34. The operation θ is defined by x θ y = 1/x + 1/y for all nonzero numbers x and y. If z is a number greater than 1, which of the following must be true? A. x θ (-z) = 0 B. z θ z/z-1 = 1 C. 2/z θ 2/z = z 拜託大家了~真的很感激~ 謝謝^^ --

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