What is the solution to the equation 1/2 x + 3/2(x + 1) − 1/4 = 5?
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Which of the following expressions is 5 times as much as the sum of r and s?
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The amount of money M, in dollars, Paul earns can be represented by the equation M = 12.5h + 11, where h is the number of hours Paul works. Which of the following is the best interpretation of the number 11 in the equation?
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What is the number of grams in 500 kilograms? (1 kilogram = 1,000 grams)
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Which of the following fractions is equivalent to (−6 − (−9))/8?
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Water runs from a pump at a rate of 1.5 gallons per minute. At this rate, how long would it take to fill a tub with a 150-gallon capacity?
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4(x + 5) + 4x + 8
Which of the following is equivalent to the expression above?
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The volume of a right rectangular prism is found by multiplying the length of the base by the width of the base by the height of the prism. A right rectangular prism has a volume of 30 cubic inches. If the height of the prism is 6 inches, what is the area of the base of the prism?
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In the xy-plane, a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5). Which of the following is an equation of the line?
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The elevation at the summit of Mount Whitney is 4,418 meters above sea level. Climbers begin at a trailhead that has an elevation of 2,550 meters above sea level. What is the change in elevation, to the nearest foot, between the trailhead and the summit? (1 foot = 0.3048 meters)
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L = {0, 20, 40, 80, 100}
M = {5, 10, 15, 20, 25}
N = {10, 20, 30, 40, 50}
Sets L, M, and N are shown above. Which of the following sets represents L ∪ (M ∩ N) (the union of L with the intersection of sets M and N)?
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Jacoby followed a recipe that requires 2 cups of water for every 3 cups of flour. If he used 8 cups of flour, how many cups of water did he use?
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3x − 2y = 15
x = 3
The two lines given by the equations above intersect in the xy-plane. What is the value of the y-coordinate of the point of intersection?
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It took Khalid 90 minutes to complete 40 tasks. Which of the following is an equivalent rate?
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The table above shows a survey of 50 registered voters in a city. Each voter was asked whether they planned to vote “yes” or “no” on two different issues.
Plans to vote “yes” on issue P | yes on issue Q: 8 | no on issue Q: 12 | Total: 20
Plans to vote “no” on issue P | yes on issue Q: 14 | no on issue Q: 16 | Total: 30
Total | yes on issue Q: 22 | no on issue Q: 28 | Total: 50
If a voter who plans to vote “yes” on issue P is randomly selected, what is the probability that voter also plans to vote “yes” on issue Q?
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The table gives the population of the 5 largest countries in the European Union in the year 2014.
Country | Approximate population (millions)
France | 65.9
Germany | 80.8
Italy | 60.8
Spain | 46.5
United Kingdom | 64.3
Which of the following is closest to the mean population of these countries?
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Which of the following values is equivalent to 5⁻³²?
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Which of the following expressions is equivalent to (x³ · x²)⁵?
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