PREP07 Test 1
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Are x and y both positive?(1) 2x – 2y = 1(2) $$\frac{x}{y}>1$$
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PREP07 Test 1
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Three boxes of supplies have an average (arithmetic mean) weight of 7 kilograms and a median weight of 9 kilograms. What is the maximum possible weight, in kilograms, of the lightest box?
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PREP07 Test 1
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In the figure shown, what is the value of x ?(1) The length of line segment QR is equal to the length of line segment RS.(2) The length of line segment ST is equal to the length of line segment TU.
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PREP07 Test 1
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The table shows the number of shares of each of the 5 stocks owned by Mr. Sami. If Mr.Sami was to sell 20 shares of Stock X and buy 24 shares of Stock Y, what would be the increase in the range of the numbers of shares of the 5 stocks owned by Mr. Sami?
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PREP07 Test 1
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In a certain year, the difference between Mary's and Jim's annual salaries was twice the difference between Mary's and Kate's annual salaries. If Mary's annual salary was the highest of the 3 people, what was the average (arithmetic mean) annual salary of the 3 people that year?(1) Jim's annual salary was $30,000 that year.(2) Kate's annual salary was $40,000 that year.
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PREP07 Test 1
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A certain company charges $6 per package to ship packages weighing less than 2 pounds each. For a package weighing 2 pounds or more, the company charges an initial fee of $6 plus $2 per pound. If the company charged $38 to ship a certain package, which of the following was the weight of the package, in pounds?
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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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A certain kennel will house 24 dogs for 7 days. Each dog requires 10 ounces of dog food per day. If the kennel purchases dog food in cases of 30 cans each and if each can holds 8 ounces of dog food, how many cases will the kennel need to feed all of the dogs for 7 days?
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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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Each year Mark works 40 hours per week for 50 weeks. Last year Mark was paid a total of $20,000. If this year his hourly pay rate is raised by $0.50, what is the total amount that Mark will be paid this year?
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PREP07 Test 1
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Is x between 0 and 1 ?(1) x is between $$-\frac{1}{2}$$ and $$\frac{3}{2}$$(2)$$\frac{3}{4}$$ is $$\frac{1}{4}$$ more than x.
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PREP07 Test 1
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A retailer sold an appliance for $80. If the retailer's gross profit on the appliance was 25 percent of the retailer's cost for the appliance, how many dollars was the retailer's gross profit?
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PREP07 Test 1
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If 0 < x < y, what is the value of $$(x+y)^2\over(x-y)^2$$(1) $$x^2 + y^2 = 3xy$$(2) xy = 3
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PREP07 Test 1
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If 0 < r < 1 < s < 2, which of the following must be less than 1?I. $$\frac{r}{s}$$II. rsIII. s - r
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PREP07 Test 1
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If x, y, and z are integers greater than 1, what is the value of x + y + z ?(1) xyz = 70(2) $$\frac{x}{yz} = \frac{7}{10}$$
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PREP07 Test 1
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Is p + pz = p?(1)P = 0(2)z = 0
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PREP07 Test 1
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Last month 15 homes were sold in Town X. The average (arithmetic mean) sale price of the homes was $150,000 and the median sale price was $130,000. Which of the following statements must be true?I. At least one of the homes was sold for more than $165,000.II. At least one of the homes was sold for more than $130,000 and less than $150,000.III. At least one of the homes was sold for less than $130,000.
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PREP07 Test 1
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A certain company sold 800 units of its product for $8 each and 1,000 units of its product for $5 each. If the company's cost of producing each unit of its product was $6, what was the company's profit or loss on the 1,800 units of its product?
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PREP07 Test 1
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If the operation △ is one of the four arithmetic operations addition, subtraction, multiplication, and division, is (6 △ 2) △ 4 = 6 △ (2 △ 4) ?(1) 3 △ 2 > 3(2) 3 △ 1 = 3
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PREP07 Test 1
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On the number line shown, is zero halfway between r and s ?(1) s is to the right of zero.(2) The distance between t and r is the same as the distance between t and -s.
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