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According to a car dealer's sales report, $$\frac{1}{3}$$ of the cars sold during a certain period were sedans and $$\frac{1}{5}$$ of the other cars sold were station wagons. If N station wagons were sold during that period, how many sedans, in terms of N, were sold?
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OG12 OG15 OG16 OG17
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It would take one machine 4 hours to complete a large production order and another machine 3 hours to complete the same order. How many hours would it take both machines, working simultaneously at their respective constant rates, to complete the order?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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 Which of the following inequalities is an algebraic expression for the shaded part of the number line above?
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OG12 OG15 OG16 OG17
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A certain country had a total annual expenditure of $$$1.2 \times {10}^{12}$$ last year. If the population of the country was 240 million last year, what was the per capita expenditure?
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OG12 OG15
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A certain rectangular window is twice as long as it is wide. If its perimeter is 10 feet, then its dimensions in feet are
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If $$x(x - 5)(x + 2) = 0$$, is x negative?(1) $${x}^{2}-{7}{x}\neq{0}$$(2) $${x}^{2}-{2}{x}-{15}\neq{0}$$
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If x percent of 40 is y, then 10x equals
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PREP07 Test 2
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If n is a positive integer and r is the remainder when (n – 1)(n + 1) is divided by 24, what is the value of r?(1) 2 is not a factor of n.(2) 3 is not a factor of n.
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If n is an integer and $${x}^{n}-{x}^{-n}={0}$$, what is the value of x ?(1) x is an integer.(2) $$n \neq 0$$
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In the sequence of nonzero numbers $${t}_{1}$$, $${t}_{2}$$, $${t}_{3}$$, ..., $${t}_{n}$$, ..., $${t}_{n+1}=\frac{{t}_{n}}{2}$$ for all positive integers n. What is the value of $${t}_{5}$$?(1) $${t}_{3}=\frac{1}{4}$$(2) $${t}_{1}-{t}_{5}=\frac{15}{16}$$
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According to a survey, 93 percent of teenagers have used a computer to play games, 89 percent have used a computer to write reports, and 5 percent have not used a computer for either of these purposes. What percent of the teenagers in the survey have used a computer both to play games and to write reports?
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Of the students in a certain school, 15 percent are enrolled in an art class and 10 percent are enrolled in a music class. What percent of the students in the school are enrolled in neither an art class nor a music class?(1) 2/3 of the students who are enrolled in an art class are also enrolled in a music class.(2) There are more than 100 students in the school.
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The value of $$-{3}+\sqrt{9-k}$$ is positive for which of the following values of k ? I. -1 II. 0 III. 1
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A total of 100 customers purchased books at a certain bookstore last week. If these customers purchased a total of 200 books, how many of the customers purchased only 1 book each?(1) None of the customers purchased more than 3 books.(2) 20 of the customers purchased only 2 books each.
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If n = 3k, is k an integer?(1) n is an integer.(2) n/6 is an integer.
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Is y – x positive?(1) y>0(2) x = 1 - y
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OG16 OG17 OG18 OG19 OG20 OG2022
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On a certain nonstop trip, Marta averaged x miles per hour for 2 hours and y miles per hour for the remaining 3 hours. What was her average speed, in miles per hour, for the entire trip?(1) 2x + 3y = 280(2) y = x + 10
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If p, r, s, and t are nonzero integers, is $$\frac{p}{r}=\frac{s}{t}$$? (1) s = 3p and t = 3r. (2) 3p = 2r and 3s = 2t.
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A toy store's gross profit on a computer game was 10 percent of the cost of the game. If the store increased the selling price of the game from $44 to $46 and the cost of the game remained the same, then the store's gross profit on the game after the price increase was what percent of the cost of the game?
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OG16 OG17 OG18 OG19 OG20 OG2022
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Four extra-large sandwiches of exactly the same size were ordered for m students, where m>4. Three of the sandwiches were evenly divided among the students. Since 4 students did not want any of the fourth sandwich, it was evenly divided among the remaining students. If Carol ate one piece from each of the four sandwiches, the amount of sandwich that she ate would be what fraction of a whole extra-large sandwich?
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