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PREP07 Test 1
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 In the rectangular coordinate system shown above, does the line k (not shown) intersect quadrant II?(1) The slope of k is -1/6(2) The y-intercept of k is -6.
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PREP07 Test 1
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If M is a finite set of negative integers, is the total number of integers in M an odd number?(1) The product of all the integers in M is odd. (2) The product of all the integers in M is negative.
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PREP07 Test 1
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What is the value of x ?(1) y - x = y - 6(2) x + 2y = 10
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PREP07 Test 1
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During a 40-mile trip, Marla traveled at an average speed of x miles per hour for the first y miles of the trip and at an average speed of 1.25x miles per hour for the last 40 - y miles of the trip. The time that Marla took to travel the 40 miles was what percent of the time it would have taken her if she had traveled at an average speed of x miles per hour for the entire trip?(1) x = 48(2) y = 20
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PREP07 Test 1
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The points A, B, C, and D are on a number line, not necessarily in that order. If the distance between A and B is 18 and the distance between C and D is 8, what is the distance between B and D ?(1) The distance between C and A is the same as the distance between C and B.(2) A is to the left of D on the number line.
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PREP07 Test 1
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During a one-day sale, a store sold each sweater of a certain type for $30 more than the store's cost to purchase each sweater. How many of these sweaters were sold during the sale?(1) During the sale, the total revenue from the sale of these sweaters was $270.(2) During the sale, the store sold each of these sweaters at a price that was 50 percent greater than the store's cost to purchase each sweater.
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PREP07 Test 1
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In the xy-plane, does the line with equation y = 3x + 2 contain the point (r, s)?(1) (3r + 2 - s)(4r + 9 - s) = 0(2) (4r - 6 - s)(3r + 2 - s) = 0
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PREP07 Test 1
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If n is a positive integer and r is the remainder when 4 + 7n is divided by 3, what is the value of r ?(1) n + 1 is divisible by 3.(2) n > 20
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PREP07 Test 1
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Each of the 25 balls in a certain box is either red, blue, or white and has a number from 1 to 10 painted on it. If one ball is to be selected at random from the box, what is the probability that the ball selected will either be white or have an even number painted on it?(1) The probability that the ball will both be white and have an even number painted on it is 0.(2) The probability that the ball will be white minus the probability that the ball will have an even number painted on it is 0.2.
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PREP07 Test 1
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Linda put an amount of money into each of two new investments, A and B, that pay simple annual interest. If the annual interest rate of investment B is 1.5 times that of investment A, what amount did Linda put into investment A ?(1) The interest for 1 year is $50 for investment A and $150 for investment B.(2) The amount that Linda put into investment B is twice the amount that she put into investment A.
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PREP07 Test 1
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Of the 1,400 college teachers surveyed, 42 percent said that they considered engaging in research an essential goal. How many of the college teachers surveyed were women?(1) In the survey, 36 percent of the men and 50 percent of the women said that they considered engaging in research an essential goal.(2) In the survey, 288 men said that they considered engaging in research an essential goal.
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PREP07 Test 1
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If x, y, and z are integers and xy + z is an odd integer, is x an even integer?(1) xy + xz is an even integer.(2) y + xz is an odd integer.
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PREP07 Test 1
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On the number line, the distance between x and y is greater than the distance between x and z. Does z lie between x and y on the number line?(1) xyz < 0(2) xy < 0
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PREP07 Test 1
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Is |x - y | > |x | - |y | ?(1) y < x(2) xy < 0
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PREP07 Test 1
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If m, k, x, and y are positive numbers, is mx + ky > kx + my ?(1) m > k(2) x > y
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PREP07 Test 1
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The sum of the integers in list S is the same as the sum of the integers in list T. Does S contain more integers than T ?(1) The average (arithmetic mean) of the integers in S is less than the average of the integers in T.(2) The median of the integers in S is greater than the median of the integers in T.
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PREP07 Test 1
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The positive integers x, y, and z are such that x is a factor of y and y is a factor of z. Is z even?(1) xz is even.
(2) y is even.
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PREP07 Test 1
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Jack and Mark both received hourly wage increases of 6 percent. After the wage increases, Jack's hourly wage was how many dollars per hour more than Mark's? (1) Before the wage increases, Jack's hourly wage was $5.00 per hour more than Mark's.(2) Before the wage increases, the ratio of Jack's hourly wage to Mark's hourly wage was 4 to 3.
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PREP07 Test 1
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Martha bought an armchair and a coffee table at an auction and sold both items at her store. Her gross profit from the purchase and sale of the armchair was what percent greater than her gross profit from the purchase and sale of the coffee table?(1) Martha paid 10 percent more for the armchair than for the coffee table.(2) Martha sold the armchair for 20 percent more than she sold the coffee table.
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PREP07 Test 1
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If k is an integer and 2 < k < 8, what is the value of k ?(1) k is a factor of 30(2) k is a factor of 12.
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