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PREP07 Test 1
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Malik's recipe for 4 servings of a certain dish requires 1.5 cups of pasta. According to this recipe, what is the number of cups of pasta that Malik will use the next time he prepares this dish?(1) The next time he prepares this dish, Malik will make half as many servings as he did the last time he prepared the dish.(2) Malik used 6 cups of pasta the last time he prepared this dish.
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If $${b}\neq{0}$$, does a equal b ?1. $${{a}^{{2}^{2}}\over{b}}+{4}={5}$$2. $${{17}{a}+{4}{b}\over{7}}={3}{a}$$
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What is the volume that a certain jar can hold?1. The jar currently holds 5 cups of soup.2. If 2 cups of soup are added to the jar when it is already $$\frac{1}{3}$$ full of soup, the volume of soup in the jar will double.
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A child had 5 friends at her birthday party. The children opened a box containing 21 pieces of candy. Each piece of candy was received by a child. There were no other pieces of candy received by the children at the party. Did each child at the party receive at least 1 piece of candy from the box?1. Each child received a different number of candies.2. The birthday girl received 6 pieces of candy, which was more than any other child.
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If x and y are integers and x< y, what is the value of x + y?(1)$$x^{Y}=4$$(2) |x| = |y|
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In the xy-plane, region Q consists of all points (x, y) such that$$x^{2}+y^{2}\le{100}$$ . Is the point (a, b) in region Q?(1)a + b = 14(2)a>b
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On a certain field trip, the ratio of teachers to students was 3 : 7. What was the number of parents on the field trip?1. On the field trip, the ratio of the number of students to parents was 5:1.2. The number of parents on the trip was less than 20.
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While on straight, parallel tracks, train A and train B are traveling at different constant rates. If train A is currently 2 miles behind train B, how many minutes from now will train A be 4 miles behind train B?1. Three minutes ago, train A was 1 mile behind train B.2. Train A is traveling at 80 miles per hour, and train B is traveling at 100 miles per hour.
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By what percent did the median annual cost of health insurance in City X increase from 1990 to 2000?1. In 1990, the median annual cost of health insurance in City X was$$\frac{2}{3}$$ of the median annual cost of health insurance in City Y.2. In 2000, the median annual cost of health insurance in City X was$$\frac{6}{7}$$ of the median annual cost of health insurance in City Y.
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If a certain factory makes a total of 30,720 wrenches, how many minutes does the factory take to make the wrenches?1. The factory creates the wrenches without interruption at a rate of 32 wrenches per second.2. It takes 4 times as long for the factory to create the wrenches as it does to load them into trucks, and it takes the factory a total of 20 minutes to do both.
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Is abc = 2?1. ab-22. be = 2
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Is x > y?1. 6x > 5y2. xy < 0
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In the xy-coordinate plane, line l passes through the point (-3, 0). Does line I pass through the point $$(0,\frac{3}{4} ) $$?1. The slope of line l is $$\frac{1}{4}$$2. Line l passes through the point (5, 2).
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Is the positive integer n divisible by 6?1. $$n^{2}\over{180}$$ is an integer.2. $${144}\over{n^{2}}$$ is an integer.
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The workers at a large construction company reported x percent fewer safety incidents in 2004 than in 2003, and y percent more incidents in 2005 than in 2004. If the workers reported a total of 1,000 incidents in 2003, how many incidents did the workers report in 2005?1. xy – 502. $$y-x-x\frac{y}{100}=4.5$$
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PREP07 Test 1
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In the xy-plane, at what two points does the graph y = (x + a)(x + b) intersect the x-axis?1. a + b = - 62. The graph contains the point (0, -7).
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If N is a positive, three-digit integer, what is the hundreds digit of N?1. The hundreds digit of N + 120 is 7.2. The tens digit of N + 15 is 9.
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Let u,v, and w denote the lengths of three separate line segments. In order for u,v, and w to represent the lengths of three sides of a triangle, what value must v exceed?1. w= u + 52. u = 2 and w = 7
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What is the value of the two-digit number z?1. The tens digit is twice the units digit.2. The sum of two digits is 6.
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Ice hockey teams R and U played against each other in the final games of numerous championships. Which of the teams won more than $$\frac{1}{2}$$ of these games?1. The total number of games teams R and U played against each other in finals is 30.2. Team R scored 128 goals in these matches, and Team U scored 203 goals in these matches.
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