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Created by Master Student

Quantitative Reasoning Practice Test #5

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A line, m, is parallel to a plane, X, and is 6 inches from X. The set of points that are 6 inches from m and 1 inch from X form

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The distance between two points in space, P (x,-1,-1) and Q (3,-3,1), is 3. Find the possible values of x .

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The length, width, and height of a rectangular solid are 5 cm, 3 cm, and 7 cm, respectively. What is the length of the longest segment whose endpoints are vertices of the rectangular solid?

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What is the value of x: logx125 = 3?

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If Pis a point on the line y = 2x in the first quadrant, and the distance from the origin to point P is 5, what are the approximate coordinates of point P?

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If 4x + 2 = 48, then 4x =

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Coach Hathaway is arranging 9 players in a batting order that will include all9 of his players. How many dIf ferent arrangements are possible?

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What is the median of the frequency distribution shown below?

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The region in the first quadrant bounded by the line 3x + 2y = 7 and the coordinate axes is rotated about the x-axis. What is the volume of the resulting solid?

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There are 50 people in a room. Twenty-eight are male, and 32 are under the age of 30. Twelve are males under the age of 30. How many women over the age of 30 are in the group?

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The inverse of f = {(1,2),(2,3),(3,4),(4,1),(5,2)} would be a function if the domain of f is limited to

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P(x) = ax4 + x3 - bx2 - 4x + c. If P(x) increases without bound as x increases without bound, then, as x decreases without bound, P(x)

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If 2y2 + x - 4 = 0 and then x =

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A U.S. dollar equals 0.716 European euros, and a Japanese yen equals 0.00776 European euros. How many U.S. dollars equal a Japanese yen?

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In an engineering test, a rocket sled is propelled into a target. If the sled's distance d in meters from the target is given by the formula d = -1.5t2 + 120, where t is the number of seconds after rocket ignition, then how many seconds have passed since rocket ignition when the sled is 10 meters from the target?

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On a number line, the coordinate of point A is 0, and the coordinate of pointB is 6. If point P is located on the number line so that the distance from P to A is twice the distance fromP to B, which of the following could be the coordinate of point P?

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If the perimeter of a square is 60, what is the area of the square?

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If f(x) = x2 - 4x + 1,f(x) crosses the x-axis closest to which of the following points?

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If g(x) = |5x2 - x3|, then g(6) =

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If f(x) = x2 - 5x and f(n) = -4, then which of the following could be the value of n ?

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A 3-digitcode is made up of three dIf ferent digits from the set {2, 3, 4, 5, 6}.If 4 is always the first digit in the code, how many 3-digit codes can be formed using each digit only once?

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If x = i - 1, then x2 + 2x + 2 =

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Points and C are collinear. If B is the midpoint of line segment AC, approximately what are the (x, y) coordinates of point C?

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Which of the following ordered pairs is the solution to the equations 2y - 4x = 4 and y + x + 1 = 0?

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If f(x) = 2 for all real numbers x, then f(x + 2) =

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A plumbing company charges \$42.50 plus x dollars per hour to make a house call. Which expression below represents the cost of a 90-minute house call?

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For what positive value of a does a - equal -4 ?

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Jackie uses30 percent of her monthly earnings for rent and 50 percent of the remaining amount for food and transportation. If she spends \$525 for food and transportation, how much does she pay for rent?

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Solve forx to the nearest hundredth:

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If f(x) = 5 - 2x and g(x) = x2 + 7, then f(g(2)) =

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If f(x) = x - 7 and g(x) = , what is the domain of gof?

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If f(x) = 4x2 + 4x + 4, which of the following is equal to f(-3.5) ?

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A fair cube is one that is labeled with the numbers 1, 2, 3, 4, 5, and 6, such that there is an equal probability of rolling each of those numbers. If Jade rolls two fair cubes at the same time, then what is the probability that the product of the two numbers she rolls will be greater than 18 ?

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Which of the following has the greatest value?

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Which of the following statements is logically equivalent to: "If he studies, he will pass the course."

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As , find the limit of the product .

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If the mean of the set of data 1, 2, 3, 1, 2, 5, x is what is the value of x ?

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If f(x) = 2x2 + 2, then what is the value of f(x + 4)?

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Which of the following is a zero of f(x) = x2 + 6x - 12 ?

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Dick and Suzanne drove for 13 hours at 55 miles per hour. If the y had traveled ata rate of 65 miles per hour, how much time, in hours, would the y have saved?