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Which of the following is equal to $$({2}^{k})({5}^{k-1})$$?
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If $$\sqrt x=25$$, then $$x^3-x^2=$$
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At a certain company, each employee has a salary grade s that is at least 1 and at most 5. Each employee receives an hourly wage p, in dollars, determined by the formula p = 9.50 + 0.25(s - 1). An employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 1?
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A car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 75 kilometers per hour. At what speed, in kilometers per hour, is the car traveling?
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OG17
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The numbers x and y are three-digit positive integers, and x + y is a four-digit integer. The tens digit of x equals 7 and the tens digit of y equals 5. If x < y, which of the following must be true?I.The units digit of x + y is greater than the units digit of either x or y.II.The tens digit of x + y equals 2.III.The hundreds digit of y is at least 5.
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A teacher gave the same test to three history classes: A, B, and C. The average (arithmetic mean) scores for the three classes were 65, 80, and 77, respectively. The ratio of the numbers of students in each class who took the test was 4 to 6 to 5, respectively. What was the average score for the three classes combined?
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If an automobile averaged 22.5 miles per gallon of gasoline, approximately how many kilometers per liter of gasoline did the automobile average? (1 mile = 1.6 kilometers and 1 gallon = 3.8 liters, both rounded to the nearest tenth.)
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OG12 OG15 OG16 OG17 OG18
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A student's average (arithmetic mean) test score on 4 tests is 78. What must be the student's score on a 5th test for the student's average score on the 5 tests to be 80?
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If x and y are positive integers and 1 + x + y + xy = 15, what is the value of x + y?
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KMFPS
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Which of the following fractions has a decimal equivalent that is a terminating decimal?
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For any integer k greater than 1, the symbol $${k}^\ast$$ denotes the product of all the fractions of the form $$\frac1 t$$, where t is an integer between 1 and k, inclusive. What is the value of $$\frac{{5}^\ast} {{4}^\ast}$$?
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If $${5}^{x}-{5}^{x-3}=({124})({5}^{y})$$, what is y in terms of x?
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On a map Town G is 10 centimeters due east of Town H and 8 centimeters due south of Town J. Which of the following is closest to the straight-line distance, in centimeters, between Town H and Town J on the map?
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If $$\frac{7x} 3+a=8$$ and $$a > 8$$, then, in terms of a, $$\frac{3x} 7=$$
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If a committee of 3 people is to be selected from among 5 married couples so that the committee does not include two people who are married to each other, how many such committees are possible?
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PREP07 Test 2
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A certain business produced x rakes each month from November through February and shipped $$\frac x 2$$ rakes at the beginning of each month from March through October. The business paid no storage costs for the rakes from November through February, but it paid storage costs of $0.10 per rake each month from March through October for the rakes that had not been shipped. In terms of x, what was the total storage cost, in dollars, that the business paid for the rakes for the 12 months from November through October?
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A driver completed the first 20 miles of a 40-mile trip at an average speed of 50 miles per hour. At what average speed must the driver complete the remaining 20 miles to achieve an average speed of 60 miles per hour for the entire 40-mile trip? (Assume that the driver did not make any stops during the 40-mile trip.)
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OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the store sold no other newspapers that day. If r percent of the store's revenues from newspaper sales was from Newspaper A and if p percent of the newspapers that the store sold were copies of newspaper A, which of the following expresses r in terms of p?
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Enrollment in City College in 1980 was $${83}\frac1 3$$ percent of enrollment in 1990. What was the percent increase in the college's enrollment from 1980 to 1990?
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The operation $$O$$ is defined by the equation $$x O y$$ = $$\frac{x-y} {x+y}$$, where $${y}!=-{x}$$. If $$3 O y = 5 O 4$$, then y =
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