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OG16 OG17 OG18 OG19 OG20 OG2022
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Which of the following expressions can be written as an integer?(1) $$(\sqrt{82}+\sqrt{82})^{2}$$(2) $$({82})(\sqrt{82})$$(3) $$\frac{(\sqrt{82})(\sqrt{82})}{82}$$
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Of the 32 students in a certain class, 15 are in a music club and 20 are in a dance club. If 10 of the students are not in either club, how many of the students are in only one of the two clubs?
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If P and R are positive, is 25 percent of P equal to 10 percent of R?(1) R is 150 percent greater than P.(2) P is 60 percent less than R.
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Each week John earns X dollars per hour for the first 40 hours that he works that week and Y dollars for each additional hour. How much does John earn per hour for the first 40 hours?(1) Y=15X(2) If John works 45 hours in a week, he earns a total of $570 that week.
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$$\frac{(\frac{1}{2})^{-2}}{2^{-2}}$$
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Each side of a certain parallelogram has length 6. if the area of the parallelogram is 18. which of the following is the measure of one of its angles?
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If ¼ of the larger of two numbers is greater than 5 times the smaller of the same two numbers, is the smaller number less than 4?(1) The larger number is greater than 70.(2) The larger number is less than 80.
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If n is a member of the set {33, 36, 38, 39, 41, 42}, what is the value of n?(1)n is even.(2)n is a multiple of 3.
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A rabbit on a controlled diet is fed daily 300 grams of a mixture of two foods, food X and food Y. Food X contains 10 percent protein and food Y contains 15 percent protein. If the rabbit's diet provides exactly 38 grams of protein daily, how many grams of food X are in the mixture?
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PREP07 Test 1
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 A vending machine is designed to dispense 8 ounces of coffee into a cup. After a test that recorded the number of ounces of coffee in each of 1,000 cups dispensed by the vending machine, the 12 listed amounts, in ounces, were selected from the data. If the 1,000 recorded amounts have a mean of 8.1 ounces and a standard deviation of 0.3 ounce, how many of the 12 listed amounts are within 1.5 standard deviations of the mean?
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PREP07 Test 1
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A certain theater has a total of 884 seats, of which 500 are orchestra seats and the rest are balcony seats. When tickets for all the seats in the theater are sold, the total revenue from ticket sales is $34,600. What was the theater's total revenue from ticket sales for last night's performance?(1) The price of an orchestra seat ticket is twice the price of a balcony seat ticket.(2) For last night's performance, tickets for all the balcony seats were sold, but only 80 percent of the tickets for the orchestra seats were sold.
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PREP07 Test 1
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 In the rectangular coordinate system above, the area of △PQR is what fraction of the area of △LMN ?
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PREP07 Test 1
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If x is a negative integer, which of the following expressions has the LEAST value?
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PREP07 Test 1
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Each year Mark works 40 hours per week for 50 weeks. Last year Mark was paid a total of $20,000. If this year his hourly pay rate is raised by $0.50, what is the total amount that Mark will be paid this year?
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PREP07 Test 1
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What is the remainder when the positive integer n is divided by 6 ?(1)n is a multiple of 5.(2)n is a multiple of 12.
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 In the figure above, if x and y are each less than 90 and PS || QR, is the length of segment PQ less than the length of segment SR?(1) x > y(2) x + y> 90
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OG17 OG16 OG18 OG19 OG20 OG2022
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Each person who attended a company meeting was either a stockholder in the company, an employee of the company, or both. If 62 percent of those who attended the meeting were stockholders and 47 percent were employees, what percent were stockholders, who were not employees?
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$$(\frac {1}{4-\sqrt{15}})^{2}=$$
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代数
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If x > 0, is $$x^{2}\lt{x}$$ ?(1) 0.1 < x < 0.4(2) $$x^{3}\lt{x^{2}}$$
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The sum of the first k positive integers is equal to $$\frac{k(k+1)}{2}$$. What is the sum of the integers from n to m, inclusive, where $$0<{n}<{m}$$?
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