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PREP07 Test 1
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If $$\frac{x}{y}=\frac{2}{3}, then \frac{(x-y)}{x}=$$
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PREP07 Test 1
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If xy + z = x(y + z), which of the following must be true?
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PREP07 Test 1
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If -3 is 6 more than x, what is the value of $$\frac{x}{3}$$
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PREP07 Test 1
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A list of measurements in increasing order is 4, 5, 6, 8, 10, and x. If the median of these measurements is 6/7 times their arithmetic mean, what is the value of x ?
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PREP07 Test 1
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Two water pumps, working simultaneously at their respective constant rates, took exactly 4 hours to fill a certain swimming pool. If the constant rate of one pump was 1.5 times the constant rate of the other, how many hours would it have taken the faster pump to fill the pool if it had worked alone at its constant rate?
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PREP07 Test 1
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In the arithmetic sequence $${t}_{1}$$, $${t}_{2}$$, $${t}_{3}$$, ..., $${t}_{n}$$,..., $${t}_{1}= 23$$ and $${t}_{n} = {t}_{n-1}- 3$$ for each $$n > 1$$. What is the value of n when $${t}_{n}=-4$$ ?
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PREP07 Test 1
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 What is the sum of the integers in the table above?
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PREP07 Test 1
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A certain junior class has 1,000 students and a certain senior class has 800 students.Among these students, there are 60 sibling pairs, each consisting of 1 junior and 1 senior.If 1 student is to be selected at random from each class, what is the probability that the 2 students selected will be a sibling pair?
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PREP07 Test 1
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Which of the following is closest to the value of $${999}\over{100+{\frac{1}{999}}}$$?
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PREP07 Test 1
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Of the 12 temporary employees in a certain company, 4 will be hired as permanent employees. If 5 of the 12 temporary employees are women, how many of the possible groups of 4 temporary employees consist of 3 women and 1 man?
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PREP07 Test 1
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If d is the standard deviation of x, y, and z, what is the standard deviation of x + 5, y + 5, and z + 5 ?
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PREP07 Test 1
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 A student worked for 20 days. For each of the amounts shown in the first row of the table,the second row gives the number of days that the student earned that amount. What is the
median amount of money that the student earned per day for the 20 days?
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PREP07 Test 2
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For all numbers x such that $$x \neq 1$$, if g(x) is defined by $$g(x)={{x^2+2}\over{x-1}}$$, then ($${{1}\over{g(2)}}$$)($${{1}\over{g(x)}})$$=?
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PREP07 Test 2
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In May Mrs. Lee's earnings were 60 percent of the Lee family's total income. In June Mrs. Lee earned 20 percent more than in May. If the rest of the family's income was the same both months, then, in June, Mrs. Lee's earnings were approximately what percent of the Lee family's total income?
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PREP07 Test 2
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A certain car averages 25 miles per gallon of gasoline when driven in the city and 40 miles per gallon when driven on the highway. According to these rates, which of the following is closest to the number of miles per gallon that the car averages when it is driven 10 miles in the city and then 50 miles on the highway?
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PREP07 Test 2
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An athlete runs R miles in H hours, then rides a bicycle Q miles in the same number of hours. Which of the following represents the athlete's average speed, in miles per hour, for these two activities combined?
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PREP07 Test 2
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The temperatures in degrees Celsius recorded at 6 in the morning in various parts of a certain country were 10, 5, -2, -1, -5, and 15. What is the median of these temperatures?
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PREP07 Test 2
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A certain roller coaster has 3 cars, and a passenger is equally likely to ride in any 1 of the 3 cars each time that passenger rides the roller coaster. If a certain passenger is to ride the roller coaster 3 times, what is the probability that the passenger will ride in each of the 3 cars?
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PREP07 Test 2
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A certain manufacturer of cake, muffin, and bread mixes has 100 buyers, of whom 50 purchase cake mix, 40 purchase muffin mix, and 20 purchase both cake mix and muffin mix. If a buyer is to be selected at random from the 100 buyers, what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix?
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PREP07 Test 2
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There are 8 magazines lying on a table; 4 are fashion magazines and the other 4 are sports magazines. If 3 magazines are to be selected at random from the 8 magazines, what is the probability that at least one of the fashion magazines will be selected?
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