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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "How much more does a set of spoons cost than a cutting board?", "modality": "text", "role": "user" }, { "data": "Subtract the price of a cutting board from the price of a set of spoons.\n$19 - $10 = $9\nA set of spoons costs $9 more than a cutting board.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Look at the table. Then answer the question. At a price of $990, is there a shortage or a surplus?", "modality": "text", "role": "user" }, { "data": "At the price of $990, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "A dietitian noted the number of apples eaten by his clients last week. How many clients ate at least 3 apples last week?", "modality": "text", "role": "user" }, { "data": "Find the rows for 3 and 4 apples last week. Add the frequencies for these rows.\nAdd:\n2 + 9 = 11\n11 clients ate at least 3 apples last week.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Each platter has 10 cheese slices. How many cheese slices are on 4 platters?", "modality": "text", "role": "user" }, { "data": "Count by tens. Use the chart: there are 40 cheese slices on 4 platters.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "How much more does a bright blue note card cost than a piece of polka-dotted paper?", "modality": "text", "role": "user" }, { "data": "Subtract the price of a piece of polka-dotted paper from the price of a bright blue note card.\n$0.08 - $0.06 = $0.02\nA bright blue note card costs $0.02 more than a piece of polka-dotted paper.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "The table shows a function. Is the function linear or nonlinear?", "modality": "text", "role": "user" }, { "data": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{9 - 17}{8 - 7}\n = \\frac{-8}{1}\n = -8\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{5 - 17}{9 - 7}\n = \\frac{-12}{2}\n = -6\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Sanjay has two dogs, Sprinkles and Champ. He is concerned because Sprinkles keeps eating Champ's food. Sanjay asks their vet how much each dog's weight has changed since their last visit. Which dog's weight has changed the most?", "modality": "text", "role": "user" }, { "data": "To find which dog's weight changed the most, use absolute value. Absolute value tells you how much each dog's weight has changed.\nSprinkles: |5| = 5\nChamp: |-6| = 6\nChamp's weight has changed the most. He has lost 6 ounces.", "modality": "text", "role": "assistant" }, { "data": "Chase has two dogs, Sprinkles and Champ. He is concerned because Sprinkles keeps eating Champ's food. Chase asks their vet how much each dog's weight has changed since their last visit. Which dog's weight has changed the most?", "modality": "text", "role": "user" }, { "data": "To find which dog's weight changed the most, use absolute value. Absolute value tells you how much each dog's weight has changed.\nSprinkles: |5| = 5\nChamp: |-6| = 6\nChamp's weight has changed the most. He has lost 6 ounces.", "modality": "text", "role": "assistant" }, { "data": "Manny has two dogs, Sprinkles and Champ. He is concerned because Sprinkles keeps eating Champ's food. Manny asks their vet how much each dog's weight has changed since their last visit. Which dog's weight has changed the most?", "modality": "text", "role": "user" }, { "data": "To find which dog's weight changed the most, use absolute value. Absolute value tells you how much each dog's weight has changed.\nSprinkles: |5| = 5\nChamp: |-6| = 6\nChamp's weight has changed the most. He has lost 6 ounces.", "modality": "text", "role": "assistant" }, { "data": "Tanner has two dogs, Sprinkles and Champ. He is concerned because Sprinkles keeps eating Champ's food. Tanner asks their vet how much each dog's weight has changed since their last visit. Which dog's weight has changed the most?", "modality": "text", "role": "user" }, { "data": "To find which dog's weight changed the most, use absolute value. Absolute value tells you how much each dog's weight has changed.\nSprinkles: |5| = 5\nChamp: |-6| = 6\nChamp's weight has changed the most. He has lost 6 ounces.", "modality": "text", "role": "assistant" }, { "data": "Santiago has two dogs, Sprinkles and Champ. He is concerned because Sprinkles keeps eating Champ's food. Santiago asks their vet how much each dog's weight has changed since their last visit. Which dog's weight has changed the most?", "modality": "text", "role": "user" }, { "data": "To find which dog's weight changed the most, use absolute value. Absolute value tells you how much each dog's weight has changed.\nSprinkles: |5| = 5\nChamp: |-6| = 6\nChamp's weight has changed the most. He has lost 6 ounces.", "modality": "text", "role": "assistant" }, { "data": "Ryan has two dogs, Sprinkles and Champ. He is concerned because Sprinkles keeps eating Champ's food. Ryan asks their vet how much each dog's weight has changed since their last visit. Which dog's weight has changed the most?", "modality": "text", "role": "user" }, { "data": "To find which dog's weight changed the most, use absolute value. Absolute value tells you how much each dog's weight has changed.\nSprinkles: |5| = 5\nChamp: |-6| = 6\nChamp's weight has changed the most. He has lost 6 ounces.", "modality": "text", "role": "assistant" }, { "data": "Jerry has two dogs, Sprinkles and Champ. He is concerned because Sprinkles keeps eating Champ's food. Jerry asks their vet how much each dog's weight has changed since their last visit. Which dog's weight has changed the most?", "modality": "text", "role": "user" }, { "data": "To find which dog's weight changed the most, use absolute value. Absolute value tells you how much each dog's weight has changed.\nSprinkles: |5| = 5\nChamp: |-6| = 6\nChamp's weight has changed the most. He has lost 6 ounces.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "How much money does Shane need to buy a coffee table and a hammock?", "modality": "text", "role": "user" }, { "data": "Add the price of a coffee table and the price of a hammock:\n$52.23 + $77.94 = $130.17\nShane needs $130.17.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "A farm equipment company kept a record of the number of tractors made each month. What is the mode of the numbers?", "modality": "text", "role": "user" }, { "data": "Read the numbers from the table.\n35, 35, 61, 35, 61\nFirst, arrange the numbers from least to greatest:\n35, 35, 35, 61, 61\nNow count how many times each number appears.\n35 appears 3 times.\n61 appears 2 times.\nThe number that appears most often is 35.\nThe mode is 35.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Some friends met in New York City for vacation and compared how far they had traveled. How many miles in total did Mona and Paula travel?", "modality": "text", "role": "user" }, { "data": "Find the numbers in the table.\nMona: 6,660\nPaula: 1,136\nNow add: 6,660 + 1,136 = 7,796.\nMona and Paula traveled 7,796 miles.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "How much more does a ticket for a Caribbean cruise cost than a ticket for a South American cruise?", "modality": "text", "role": "user" }, { "data": "Subtract the price of a ticket for a South American cruise from the price of a ticket for a Caribbean cruise.\n$807.00 - $686.00 = $121.00\nA ticket for a Caribbean cruise costs $121.00 more than a ticket for a South American cruise.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Jeffrey works at a coffee shop on weekends. Every now and then, a customer will order a hot tea and ask Jeffrey to surprise them with the flavor. The teas are categorized by flavor and caffeine level. What is the probability that a randomly selected tea is caffeinated and fruity? Simplify any fractions.", "modality": "text", "role": "user" }, { "data": "Let A be the event \"the tea is caffeinated\" and B be the event \"the tea is fruity\".\nTo find the probability that a tea is caffeinated and fruity, first identify the sample space and the event.\nThe outcomes in the sample space are the different teas. Each tea is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the tea is caffeinated and fruity\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\nFind the number of outcomes in the event A and B.\nA and B is the event \"the tea is caffeinated and fruity\", so look at the table to see how many teas are caffeinated and fruity.\nThe number of teas that are caffeinated and fruity is 3.\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of teas.\n7 + 4 + 5 + 3 = 19\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{19}\nThe probability that a tea is caffeinated and fruity is \\frac{3}{19}.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "A machine at the candy factory dispensed different numbers of lemon-flavored candies into various bags. How many bags had exactly 35 lemon-flavored candies?", "modality": "text", "role": "user" }, { "data": "For the number 35, the stem is 3, and the leaf is 5. Find the row where the stem is 3. In that row, count all the leaves equal to 5.\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 bags had exactly 35 lemon-flavored candies.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "A philanthropic organization compared the amounts of money that its members donated to certain causes. Who donated the least money to cancer research?", "modality": "text", "role": "user" }, { "data": "Look at the numbers in the Cancer research column. Find the least number in this column.\nThe least number is $3.00, which is in the Sasha row. Sasha donated the least to cancer research.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "The owner of a bed and breakfast inn recalled how many guests the inn had hosted each day. On which day did the inn have the most guests?", "modality": "text", "role": "user" }, { "data": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 19.\nNow find the corresponding day. Tuesday corresponds to 19.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "An administrator at the Department of Motor Vehicles (DMV) tracked the average wait time from month to month. According to the table, what was the rate of change between June and July?", "modality": "text", "role": "user" }, { "data": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{42 minutes - 8 minutes}{1 month}\n = \\frac{34 minutes}{1 month}\n = 34 minutes per month\nThe rate of change between June and July was 34 minutes per month.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "A grocery store monitored how many paper bags it used each day. How many paper bags did the store use in total on Wednesday and Thursday?", "modality": "text", "role": "user" }, { "data": "Find the numbers in the table.\nWednesday: 1,991\nThursday: 4,839\nNow add: 1,991 + 4,839 = 6,830.\nThe store used 6,830 paper bags on Wednesday and Thursday.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Clara has $52.98. How much money will Clara have left if she buys a scrapbook and a dictionary?", "modality": "text", "role": "user" }, { "data": "Find the total cost of a scrapbook and a dictionary.\n$12.93 + $21.55 = $34.48\nNow subtract the total cost from the starting amount.\n$52.98 - $34.48 = $18.50\nClara will have $18.50 left.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "For a few weeks, a music producer kept track of newly released songs on a music streaming website. He recorded the music genre and number of times the song was played on its release date. What is the probability that a randomly selected song was rock and had 0-500 plays? Simplify any fractions.", "modality": "text", "role": "user" }, { "data": "Let A be the event \"the song was rock\" and B be the event \"the song had 0-500 plays\".\nTo find the probability that a song was rock and had 0-500 plays, first identify the sample space and the event.\nThe outcomes in the sample space are the different songs. Each song is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the song was rock and had 0-500 plays\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\nFind the number of outcomes in the event A and B.\nA and B is the event \"the song was rock and had 0-500 plays\", so look at the table to see how many songs were rock and had 0-500 plays.\nThe number of songs that were rock and had 0-500 plays is 4.\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of songs.\n5 + 4 + 6 + 5 = 20\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{20}\n = \\frac{1}{5}\nThe probability that a song was rock and had 0-500 plays is \\frac{1}{5}.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Jamie was a spectator at his town's air guitar competition. Contestants were allowed to play either the acoustic or electric air guitar, but not both. Jamie recorded which type of guitar each contestant played. He also counted the number of contestants wearing different kinds of pants, as there were some interesting stylistic choices. What is the probability that a randomly selected contestant was dressed in leather and played an acoustic guitar? Simplify any fractions.", "modality": "text", "role": "user" }, { "data": "Let A be the event \"the contestant was dressed in leather\" and B be the event \"the contestant played an acoustic guitar\".\nTo find the probability that a contestant was dressed in leather and played an acoustic guitar, first identify the sample space and the event.\nThe outcomes in the sample space are the different contestants. Each contestant is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the contestant was dressed in leather and played an acoustic guitar\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\nFind the number of outcomes in the event A and B.\nA and B is the event \"the contestant was dressed in leather and played an acoustic guitar\", so look at the table to see how many contestants were dressed in leather and played an acoustic guitar.\nThe number of contestants who were dressed in leather and played an acoustic guitar is 3.\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of contestants.\n3 + 3 + 7 + 7 = 20\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{20}\nThe probability that a contestant was dressed in leather and played an acoustic guitar is \\frac{3}{20}.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "In science class, Layla is measuring the temperature of different chemical mixtures. The temperatures of two mixtures are shown in the table. Which mixture's temperature is closest to zero?", "modality": "text", "role": "user" }, { "data": "A positive number means the temperature is above zero. A negative number means the temperature is below zero.\nTo find the temperature closest to zero, use absolute value. The absolute value of a temperature tells you how far it is from zero.\nBromine mixture: |-4| = 4\nAcetone mixture: |5| = 5\nThe temperature of the bromine mixture is closest to zero. It is only 4 degrees below zero.", "modality": "text", "role": "assistant" }, { "data": "In science class, Sandra is measuring the temperature of different chemical mixtures. The temperatures of two mixtures are shown in the table. Which mixture's temperature is closest to zero?", "modality": "text", "role": "user" }, { "data": "A positive number means the temperature is above zero. A negative number means the temperature is below zero.\nTo find the temperature closest to zero, use absolute value. The absolute value of a temperature tells you how far it is from zero.\nBromine mixture: |-4| = 4\nAcetone mixture: |5| = 5\nThe temperature of the bromine mixture is closest to zero. It is only 4 degrees below zero.", "modality": "text", "role": "assistant" }, { "data": "In science class, Beth is measuring the temperature of different chemical mixtures. The temperatures of two mixtures are shown in the table. Which mixture's temperature is closest to zero?", "modality": "text", "role": "user" }, { "data": "A positive number means the temperature is above zero. A negative number means the temperature is below zero.\nTo find the temperature closest to zero, use absolute value. The absolute value of a temperature tells you how far it is from zero.\nBromine mixture: |-4| = 4\nAcetone mixture: |5| = 5\nThe temperature of the bromine mixture is closest to zero. It is only 4 degrees below zero.", "modality": "text", "role": "assistant" }, { "data": "In science class, Suzie is measuring the temperature of different chemical mixtures. The temperatures of two mixtures are shown in the table. Which mixture's temperature is closest to zero?", "modality": "text", "role": "user" }, { "data": "A positive number means the temperature is above zero. A negative number means the temperature is below zero.\nTo find the temperature closest to zero, use absolute value. The absolute value of a temperature tells you how far it is from zero.\nBromine mixture: |-4| = 4\nAcetone mixture: |5| = 5\nThe temperature of the bromine mixture is closest to zero. It is only 4 degrees below zero.", "modality": "text", "role": "assistant" }, { "data": "In science class, Jessica is measuring the temperature of different chemical mixtures. The temperatures of two mixtures are shown in the table. Which mixture's temperature is closest to zero?", "modality": "text", "role": "user" }, { "data": "A positive number means the temperature is above zero. A negative number means the temperature is below zero.\nTo find the temperature closest to zero, use absolute value. The absolute value of a temperature tells you how far it is from zero.\nBromine mixture: |-4| = 4\nAcetone mixture: |5| = 5\nThe temperature of the bromine mixture is closest to zero. It is only 4 degrees below zero.", "modality": "text", "role": "assistant" }, { "data": "In science class, Olivia is measuring the temperature of different chemical mixtures. The temperatures of two mixtures are shown in the table. Which mixture's temperature is closest to zero?", "modality": "text", "role": "user" }, { "data": "A positive number means the temperature is above zero. A negative number means the temperature is below zero.\nTo find the temperature closest to zero, use absolute value. The absolute value of a temperature tells you how far it is from zero.\nBromine mixture: |-4| = 4\nAcetone mixture: |5| = 5\nThe temperature of the bromine mixture is closest to zero. It is only 4 degrees below zero.", "modality": "text", "role": "assistant" }, { "data": "In science class, Kimberly is measuring the temperature of different chemical mixtures. The temperatures of two mixtures are shown in the table. Which mixture's temperature is closest to zero?", "modality": "text", "role": "user" }, { "data": "A positive number means the temperature is above zero. A negative number means the temperature is below zero.\nTo find the temperature closest to zero, use absolute value. The absolute value of a temperature tells you how far it is from zero.\nBromine mixture: |-4| = 4\nAcetone mixture: |5| = 5\nThe temperature of the bromine mixture is closest to zero. It is only 4 degrees below zero.", "modality": "text", "role": "assistant" }, { "data": "In science class, Pamela is measuring the temperature of different chemical mixtures. The temperatures of two mixtures are shown in the table. Which mixture's temperature is closest to zero?", "modality": "text", "role": "user" }, { "data": "A positive number means the temperature is above zero. A negative number means the temperature is below zero.\nTo find the temperature closest to zero, use absolute value. The absolute value of a temperature tells you how far it is from zero.\nBromine mixture: |-4| = 4\nAcetone mixture: |5| = 5\nThe temperature of the bromine mixture is closest to zero. It is only 4 degrees below zero.", "modality": "text", "role": "assistant" }, { "data": "In science class, Lindsey is measuring the temperature of different chemical mixtures. The temperatures of two mixtures are shown in the table. Which mixture's temperature is closest to zero?", "modality": "text", "role": "user" }, { "data": "A positive number means the temperature is above zero. A negative number means the temperature is below zero.\nTo find the temperature closest to zero, use absolute value. The absolute value of a temperature tells you how far it is from zero.\nBromine mixture: |-4| = 4\nAcetone mixture: |5| = 5\nThe temperature of the bromine mixture is closest to zero. It is only 4 degrees below zero.", "modality": "text", "role": "assistant" }, { "data": "In science class, Kristen is measuring the temperature of different chemical mixtures. The temperatures of two mixtures are shown in the table. Which mixture's temperature is closest to zero?", "modality": "text", "role": "user" }, { "data": "A positive number means the temperature is above zero. A negative number means the temperature is below zero.\nTo find the temperature closest to zero, use absolute value. The absolute value of a temperature tells you how far it is from zero.\nBromine mixture: |-4| = 4\nAcetone mixture: |5| = 5\nThe temperature of the bromine mixture is closest to zero. It is only 4 degrees below zero.", "modality": "text", "role": "assistant" }, { "data": "In science class, Maddie is measuring the temperature of different chemical mixtures. The temperatures of two mixtures are shown in the table. Which mixture's temperature is closest to zero?", "modality": "text", "role": "user" }, { "data": "A positive number means the temperature is above zero. A negative number means the temperature is below zero.\nTo find the temperature closest to zero, use absolute value. The absolute value of a temperature tells you how far it is from zero.\nBromine mixture: |-4| = 4\nAcetone mixture: |5| = 5\nThe temperature of the bromine mixture is closest to zero. It is only 4 degrees below zero.", "modality": "text", "role": "assistant" }, { "data": "In science class, Lauren is measuring the temperature of different chemical mixtures. The temperatures of two mixtures are shown in the table. Which mixture's temperature is closest to zero?", "modality": "text", "role": "user" }, { "data": "A positive number means the temperature is above zero. A negative number means the temperature is below zero.\nTo find the temperature closest to zero, use absolute value. The absolute value of a temperature tells you how far it is from zero.\nBromine mixture: |-4| = 4\nAcetone mixture: |5| = 5\nThe temperature of the bromine mixture is closest to zero. It is only 4 degrees below zero.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Erin counted all the beads in each necklace at the jewelry store where she works. How many necklaces had exactly 58 beads?", "modality": "text", "role": "user" }, { "data": "For the number 58, the stem is 5, and the leaf is 8. Find the row where the stem is 5. In that row, count all the leaves equal to 8.\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 necklaces had exactly 58 beads.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Ms. Green asked her kindergarten students what they want to be when they grow up. She recorded their answers in a frequency chart. How many more students want to be doctors than singers?", "modality": "text", "role": "user" }, { "data": "The frequencies tell you how many students picked each job. Start by finding how many students want to be a doctor and how many students want to be a singer.\n8 students want to be doctors, and 4 students want to be singers. Subtract to find the difference.\n8 − 4 = 4\nSo, 4 more students want to be doctors than singers.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "A health instructor surveyed all her students, and tallied the results. The first survey question asked, \"Do you adhere to a vegetarian diet or omnivorous diet?\" The second question asked, \"If you were to buy a pet today, which animal would it be?\" What is the probability that a randomly selected student adheres to a vegetarian diet and would buy a dog? Simplify any fractions.", "modality": "text", "role": "user" }, { "data": "Let A be the event \"the student adheres to a vegetarian diet\" and B be the event \"the student would buy a dog\".\nTo find the probability that a student adheres to a vegetarian diet and would buy a dog, first identify the sample space and the event.\nThe outcomes in the sample space are the different students. Each student is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the student adheres to a vegetarian diet and would buy a dog\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\nFind the number of outcomes in the event A and B.\nA and B is the event \"the student adheres to a vegetarian diet and would buy a dog\", so look at the table to see how many students adhere to a vegetarian diet and would buy a dog.\nThe number of students who adhere to a vegetarian diet and would buy a dog is 5.\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of students.\n5 + 6 + 3 + 1 = 15\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{15}\n = \\frac{1}{3}\nThe probability that a student adheres to a vegetarian diet and would buy a dog is \\frac{1}{3}.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Burlington University offers six applied majors and monitors the number of students in each. What fraction of the students in applied majors are majoring in mechanical engineering? Simplify your answer.", "modality": "text", "role": "user" }, { "data": "Find how many students are majoring in mechanical engineering.\n350\nFind how many total students are in all the applied majors.\n370 + 460 + 350 + 470 + 80 + 300 = 2,030\nDivide 350 by2,030.\n\\frac{350}{2,030}\nReduce the fraction.\n\\frac{350}{2,030} → \\frac{5}{29}\n\\frac{5}{29} of students are majoring in mechanical engineering.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Each platter has 5 sugar cookies. How many sugar cookies are on 6 platters?", "modality": "text", "role": "user" }, { "data": "Count by fives. Use the chart: there are 30 sugar cookies on 6 platters.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "A restaurant's average food preparation time was tracked from day to day as part of an efficiency improvement program. According to the table, what was the rate of change between Thursday and Friday?", "modality": "text", "role": "user" }, { "data": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{29 minutes - 45 minutes}{1 day}\n = \\frac{-16 minutes}{1 day}\n = -16 minutes per day\nThe rate of change between Thursday and Friday was - 16 minutes per day.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "While looking through an almanac at the library, Garrett noticed some data showing the population density of various states. How many people per square mile lived in Nevada in 1990?", "modality": "text", "role": "user" }, { "data": "First, find the row for Nevada. Then find the number in the 1990 column.\nThis number is 10. In 1990, Nevada had 10 people per square mile.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "How much money does Ellen need to buy 9 pairs of tennis shoes?", "modality": "text", "role": "user" }, { "data": "Find the total cost of 9 pairs of tennis shoes by multiplying 9 times the price of a pair of tennis shoes.\n$20.08 × 9 = $180.72\nEllen needs $180.72.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Several people compared how many Web pages they had visited. What is the median of the numbers?", "modality": "text", "role": "user" }, { "data": "Read the numbers from the table.\n3, 7, 5, 6, 4, 10, 5\nFirst, arrange the numbers from least to greatest:\n3, 4, 5, 5, 6, 7, 10\nNow find the number in the middle.\n3, 4, 5, 5, 6, 7, 10\nThe number in the middle is 5.\nThe median is 5.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "A charity recorded how many donations it received each month. In which month did the charity receive the most donations?", "modality": "text", "role": "user" }, { "data": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 388.\nNow find the corresponding month. February corresponds to 388.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Each tray has 10 chocolate donuts. How many chocolate donuts are on 6 trays?", "modality": "text", "role": "user" }, { "data": "Count by tens. Use the chart: there are 60 chocolate donuts on 6 trays.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Andy found a list of the number of roller coasters at each amusement park in the state. How many amusement parks have at least 10 roller coasters but fewer than 40 roller coasters?", "modality": "text", "role": "user" }, { "data": "Count all the leaves in the rows with stems 1, 2, and 3.\nYou counted 6 leaves, which are blue in the stem-and-leaf plot above. 6 amusement parks have at least 10 roller coasters but fewer than 40 roller coasters.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "A volunteer for the local running club counted the number of participants at each race. How many races had at least 87 participants?", "modality": "text", "role": "user" }, { "data": "Find the row with stem 8. Count all the leaves greater than or equal to 7.\nCount all the leaves in the row with stem 9.\nYou counted 1 leaf, which is blue in the stem-and-leaf plots above. 1 race had at least 87 participants.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "How much more does a microphone cost than a toaster?", "modality": "text", "role": "user" }, { "data": "Subtract the price of a toaster from the price of a microphone.\n$22.31 - $22.27 = $0.04\nA microphone costs $0.04 more than a toaster.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "A veterinarian weighed all the dogs that visited her office last month. How many dogs weighed at least 20 pounds?", "modality": "text", "role": "user" }, { "data": "Count all the leaves in the rows with stems 2, 3, 4, 5, 6, 7, and 8.\nYou counted 23 leaves, which are blue in the stem-and-leaf plot above. 23 dogs weighed at least 20 pounds.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Look at the table. Then answer the question. At a price of $215, is there a shortage or a surplus?", "modality": "text", "role": "user" }, { "data": "At the price of $215, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Look at the following schedule. Which stop does the train depart from at 11.00 A.M.?", "modality": "text", "role": "user" }, { "data": "Find 11:00 A. M. on the schedule. The train departs from downtown at 11:00 A. M.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "The city recorded how many fire hydrants there are on each street. What is the mean of the numbers?", "modality": "text", "role": "user" }, { "data": "Read the numbers from the table.\n10, 4, 5, 2, 3, 3, 8, 5\nFirst, count how many numbers are in the group.\nThere are 8 numbers.\nNow add all the numbers together:\n10 + 4 + 5 + 2 + 3 + 3 + 8 + 5 = 40\nNow divide the sum by the number of numbers:\n40 ÷ 8 = 5\nThe mean is 5.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "The members of the swimming team compared how many laps they swam yesterday. What is the mode of the numbers?", "modality": "text", "role": "user" }, { "data": "Read the numbers from the table.\n53, 51, 33, 41, 41, 53, 41, 51\nFirst, arrange the numbers from least to greatest:\n33, 41, 41, 41, 51, 51, 53, 53\nNow count how many times each number appears.\n33 appears 1 time.\n41 appears 3 times.\n51 appears 2 times.\n53 appears 2 times.\nThe number that appears most often is 41.\nThe mode is 41.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "The members of the local garden club tallied the number of plants in each person's garden. What is the largest number of plants?", "modality": "text", "role": "user" }, { "data": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 8.\nNow find the highest leaf in the last row. The highest leaf is 6.\nThe largest number of plants has a stem of 8 and a leaf of 6. Write the stem first, then the leaf: 86.\nThe largest number of plants is 86 plants.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "How much money does Gabriel need to buy a red kazoo and a yellow toy car?", "modality": "text", "role": "user" }, { "data": "Add the price of a red kazoo and the price of a yellow toy car:\n$0.85 + $0.89 = $1.74\nGabriel needs $1.74.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "The parents running this year's craft sale counted the number of key chains made by volunteers. How many people made fewer than 3 key chains?", "modality": "text", "role": "user" }, { "data": "Find the rows for 1 and 2 key chains. Add the frequencies for these rows.\nAdd:\n7 + 19 = 26\n26 people made fewer than 3 key chains.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Principal Mueller reported the state test scores from some students at his school. What is the lowest score?", "modality": "text", "role": "user" }, { "data": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 4.\nNow find the lowest leaf in the first row. The lowest leaf is 0.\nThe lowest score has a stem of 4 and a leaf of 0. Write the stem first, then the leaf: 40.\nThe lowest score is 40 points.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Some friends went bowling and kept track of their scores. What is the mean of the numbers?", "modality": "text", "role": "user" }, { "data": "Read the numbers from the table.\n76, 77, 72, 75, 80, 82\nFirst, count how many numbers are in the group.\nThere are 6 numbers.\nNow add all the numbers together:\n76 + 77 + 72 + 75 + 80 + 82 = 462\nNow divide the sum by the number of numbers:\n462 ÷ 6 = 77\nThe mean is 77.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Some friends went bowling and kept track of their scores. Who had the lowest score?", "modality": "text", "role": "user" }, { "data": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 118.\nNow find the corresponding name. Seth corresponds to 118.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "How much money does Greg need to buy a yellow T-shirt and a pair of shorts?", "modality": "text", "role": "user" }, { "data": "Add the price of a yellow T-shirt and the price of a pair of shorts:\n$5.00 + $5.00 = $10.00\nGreg needs $10.00.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "The county released data about how many schools there are in each town. What is the mode of the numbers?", "modality": "text", "role": "user" }, { "data": "Read the numbers from the table.\n2, 4, 2, 4, 2\nFirst, arrange the numbers from least to greatest:\n2, 2, 2, 4, 4\nNow count how many times each number appears.\n2 appears 3 times.\n4 appears 2 times.\nThe number that appears most often is 2.\nThe mode is 2.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "A game show viewer monitors how often a wheel numbered 1 through 5 stops at each number. Which number was spun the fewest times?", "modality": "text", "role": "user" }, { "data": "Look at the frequency column. Find the least frequency. The least frequency is 0, which is in the row for 3. 3 was spun the fewest times.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "A survey asked office workers what they like to do when taking a break from work. What fraction of the respondents preferred taking a walk? Simplify your answer.", "modality": "text", "role": "user" }, { "data": "Find how many respondents preferred taking a walk.\n230\nFind how many people responded in total.\n480 + 200 + 400 + 280 + 230 = 1,590\nDivide 230 by1,590.\n\\frac{230}{1,590}\nReduce the fraction.\n\\frac{230}{1,590} → \\frac{23}{159}\n\\frac{23}{159} of respondents preferred taking a walk.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Chandler sells jewelry for a living. He wants to know how well different types of gemstone rings sell. For the month of December, he tracked his ring sales in a frequency chart. Chandler sold 4 times as many diamond rings as emerald rings. How many diamond rings did Chandler sell?", "modality": "text", "role": "user" }, { "data": "The frequencies tell you how many rings with each gemstone Chandler sold. Start by finding how many emerald rings he sold.\nChandler sold 5 emerald rings, and he sold 4 times as many diamond rings. Multiply 5 by 4.\n5 × 4 = 20\nSo, Chandler sold 20 diamond rings.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "The table shows a function. Is the function linear or nonlinear?", "modality": "text", "role": "user" }, { "data": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{11 - 17}{16 - 15}\n = \\frac{-6}{1}\n = -6\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{5 - 17}{17 - 15}\n = \\frac{-12}{2}\n = -6\nThe two rates of change are the same.\n6.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "How much money does Tanner need to buy 7 carrot cakes and 7 chocolate cheesecakes?", "modality": "text", "role": "user" }, { "data": "Find the cost of 7 carrot cakes.\n$16.00 × 7 = $112.00\nFind the cost of 7 chocolate cheesecakes.\n$27.00 × 7 = $189.00\nNow find the total cost.\n$112.00 + $189.00 = $301.00\nTanner needs $301.00.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "The employee at the department store counted the number of ties on each tie rack. How many racks have fewer than 60 ties?", "modality": "text", "role": "user" }, { "data": "Count all the leaves in the rows with stems 2, 3, 4, and 5.\nYou counted 14 leaves, which are blue in the stem-and-leaf plot above. 14 racks have fewer than 60 ties.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Tammy buys 4 kilograms of French rolls and 2 kilograms of English muffins. What is the total cost?", "modality": "text", "role": "user" }, { "data": "Find the cost of the French rolls. Multiply:\n$6 × 4 = $24\nFind the cost of the English muffins. Multiply:\n$7 × 2 = $14\nNow find the total cost by adding:\n$24 + $14 = $38\nThe total cost is $38.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "The table shows a function. Is the function linear or nonlinear?", "modality": "text", "role": "user" }, { "data": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{17 - 14}{2 - 1}\n = \\frac{3}{1}\n = 3\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{20 - 14}{3 - 1}\n = \\frac{6}{2}\n = 3\nThe two rates of change are the same.\nIf you checked the rate of change between rows 2 and 3, you would find that it is also 3.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "A pumpkin patch monitored the number of pumpkins sold each day. What is the range of the numbers?", "modality": "text", "role": "user" }, { "data": "Read the numbers from the table.\n17, 12, 47, 32, 27\nFirst, find the greatest number. The greatest number is 47.\nNext, find the least number. The least number is 12.\nSubtract the least number from the greatest number:\n47 − 12 = 35\nThe range is 35.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Colin buys 0.3 pounds of red seedless grapes. What is the total cost?", "modality": "text", "role": "user" }, { "data": "Find the cost of the red seedless grapes. Multiply the price per pound by the number of pounds.\n$4 × 0.3 = $1.20\nThe total cost is $1.20.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "The parks department compared how many basketball hoops there are at each park. What is the median of the numbers?", "modality": "text", "role": "user" }, { "data": "Read the numbers from the table.\n13, 2, 1, 7, 2, 2, 13\nFirst, arrange the numbers from least to greatest:\n1, 2, 2, 2, 7, 13, 13\nNow find the number in the middle.\n1, 2, 2, 2, 7, 13, 13\nThe number in the middle is 2.\nThe median is 2.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "How much money does Vicky need to buy a parrot, a boa constrictor, and a kinkajou?", "modality": "text", "role": "user" }, { "data": "Find the total cost of a parrot, a boa constrictor, and a kinkajou.\n$1,051.00 + $1,280.00 + $3,008.00 = $5,339.00\nVicky needs $5,339.00.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Zane's classmates recorded how many books they read last year. Who read the fewest books?", "modality": "text", "role": "user" }, { "data": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 31.\nNow find the corresponding name. Zane corresponds to 31.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Kari's Crafts is interested in offering a scarf knitting class, so the store considers how many scarves people already own. How many people have at least 2 scarves?", "modality": "text", "role": "user" }, { "data": "Find the rows for 2 and 3 scarves. Add the frequencies for these rows.\nAdd:\n16 + 0 = 16\n16 people have at least 2 scarves.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "A food industry researcher compiled the revenues of several pizzerias. How much did Pizzeria Italiano make from pepperoni pizza sales?", "modality": "text", "role": "user" }, { "data": "First, find the row for Pizzeria Italiano. Then find the number in the Pepperoni pizzas column.\nThis number is $18.00. Pizzeria Italiano made $18 from pepperoni pizza sales.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Nora has $1.50. Does she have enough to buy an ice cream cone and a bag of pretzels?", "modality": "text", "role": "user" }, { "data": "Add the price of an ice cream cone and the price of a bag of pretzels:\n$0.89 + $0.67 = $1.56\n$1.56 is more than $1.50. Nora does not have enough money.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "How much money does William need to buy a precision balance and a microscope?", "modality": "text", "role": "user" }, { "data": "Add the price of a precision balance and the price of a microscope:\n$3,611.00 + $3,540.00 = $7,151.00\nWilliam needs $7,151.00.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Some pizza restaurants compared their pizza sales. Which restaurant sold the fewest pizza slices?", "modality": "text", "role": "user" }, { "data": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 938.\nNow find the corresponding restaurant. Pizza, Pasta and More corresponds to 938.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Each tin has 10 muffins. How many muffins are in 5 tins?", "modality": "text", "role": "user" }, { "data": "Count by tens. Use the chart: there are 50 muffins in 5 tins.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Kate has $10.50. Does she have enough to buy a toy boat and a trivia game?", "modality": "text", "role": "user" }, { "data": "Add the price of a toy boat and the price of a trivia game:\n$2.94 + $7.84 = $10.78\n$10.78 is more than $10.50. Kate does not have enough money.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "The Clarksville Symphony categorizes its donors as gold, silver, or bronze depending on the amount donated. What fraction of donors are at the gold level? Simplify your answer.", "modality": "text", "role": "user" }, { "data": "Find how many donors are at the gold level.\n75\nFind how many donors there are in total.\n57 + 74 + 75 = 206\nDivide 75 by206.\n\\frac{75}{206}\n\\frac{75}{206} of donors are at the gold level.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "For a math project, students in Mrs. Garrett's class recorded the number of pets that each student has. How many students have more than 2 pets?", "modality": "text", "role": "user" }, { "data": "Find the row for 3 pets and read the frequency. The frequency is 7.\n7 students have more than 2 pets.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "How much more does a bottle of mouthwash cost than a hairbrush?", "modality": "text", "role": "user" }, { "data": "Subtract the price of a hairbrush from the price of a bottle of mouthwash.\n$3.50 - $3.40 = $0.10\nA bottle of mouthwash costs $0.10 more than a hairbrush.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Some friends compared the sizes of their sticker collections. What is the mode of the numbers?", "modality": "text", "role": "user" }, { "data": "Read the numbers from the table.\n9, 5, 5, 9, 9\nFirst, arrange the numbers from least to greatest:\n5, 5, 9, 9, 9\nNow count how many times each number appears.\n5 appears 2 times.\n9 appears 3 times.\nThe number that appears most often is 9.\nThe mode is 9.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Luca has two dogs, Sprinkles and Champ. He is concerned because Sprinkles keeps eating Champ's food. Luca asks their vet how much each dog's weight has changed since their last visit. Which dog's weight has changed the most?", "modality": "text", "role": "user" }, { "data": "To find which dog's weight changed the most, use absolute value. Absolute value tells you how much each dog's weight has changed.\nSprinkles: |5| = 5\nChamp: |-6| = 6\nChamp's weight has changed the most. He has lost 6 ounces.", "modality": "text", "role": "assistant" }, { "data": "Zach has two dogs, Sprinkles and Champ. He is concerned because Sprinkles keeps eating Champ's food. Zach asks their vet how much each dog's weight has changed since their last visit. Which dog's weight has changed the most?", "modality": "text", "role": "user" }, { "data": "To find which dog's weight changed the most, use absolute value. Absolute value tells you how much each dog's weight has changed.\nSprinkles: |5| = 5\nChamp: |-6| = 6\nChamp's weight has changed the most. He has lost 6 ounces.", "modality": "text", "role": "assistant" }, { "data": "Ruben has two dogs, Sprinkles and Champ. He is concerned because Sprinkles keeps eating Champ's food. Ruben asks their vet how much each dog's weight has changed since their last visit. Which dog's weight has changed the most?", "modality": "text", "role": "user" }, { "data": "To find which dog's weight changed the most, use absolute value. Absolute value tells you how much each dog's weight has changed.\nSprinkles: |5| = 5\nChamp: |-6| = 6\nChamp's weight has changed the most. He has lost 6 ounces.", "modality": "text", "role": "assistant" }, { "data": "Latrell has two dogs, Sprinkles and Champ. He is concerned because Sprinkles keeps eating Champ's food. Latrell asks their vet how much each dog's weight has changed since their last visit. Which dog's weight has changed the most?", "modality": "text", "role": "user" }, { "data": "To find which dog's weight changed the most, use absolute value. Absolute value tells you how much each dog's weight has changed.\nSprinkles: |5| = 5\nChamp: |-6| = 6\nChamp's weight has changed the most. He has lost 6 ounces.", "modality": "text", "role": "assistant" }, { "data": "Lamar has two dogs, Sprinkles and Champ. He is concerned because Sprinkles keeps eating Champ's food. Lamar asks their vet how much each dog's weight has changed since their last visit. Which dog's weight has changed the most?", "modality": "text", "role": "user" }, { "data": "To find which dog's weight changed the most, use absolute value. Absolute value tells you how much each dog's weight has changed.\nSprinkles: |5| = 5\nChamp: |-6| = 6\nChamp's weight has changed the most. He has lost 6 ounces.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Tucker's class paid attention to how many bottles each student collected for their recycling project. Who collected the most bottles?", "modality": "text", "role": "user" }, { "data": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 269.\nNow find the corresponding name. Tucker corresponds to 269.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Several people compared how many Web pages they had visited. What is the mean of the numbers?", "modality": "text", "role": "user" }, { "data": "Read the numbers from the table.\n2, 7, 3, 8, 5, 2, 2, 3\nFirst, count how many numbers are in the group.\nThere are 8 numbers.\nNow add all the numbers together:\n2 + 7 + 3 + 8 + 5 + 2 + 2 + 3 = 32\nNow divide the sum by the number of numbers:\n32 ÷ 8 = 4\nThe mean is 4.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "A baseball player paid attention to how many baseballs he hit in practice each day. What is the median of the numbers?", "modality": "text", "role": "user" }, { "data": "Read the numbers from the table.\n3, 4, 9, 9, 3\nFirst, arrange the numbers from least to greatest:\n3, 3, 4, 9, 9\nNow find the number in the middle.\n3, 3, 4, 9, 9\nThe number in the middle is 4.\nThe median is 4.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "An economist tracked the amount of per-capita aid sent from the U.S. to various countries during the 1900s. In 1995, how much more aid per capita did Algeria receive than Pakistan?", "modality": "text", "role": "user" }, { "data": "Find the 1995 column. Find the numbers in this column for Algeria and Pakistan.\nAlgeria: $11.00\nPakistan: $7.00\nNow subtract:\n$11.00 − $7.00 = $4.00\nIn 1995, Algeria received $4 more aid per capita than Pakistan received.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "A pair of Clinton High School hockey fans counted the number of games won by the school each year. According to the table, what was the rate of change between 2014 and 2015?", "modality": "text", "role": "user" }, { "data": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{14 games - 17 games}{2015 - 2014}\n = \\frac{14 games - 17 games}{1 year}\n = \\frac{-3 games}{1 year}\n = -3 games per year\nThe rate of change between 2014 and 2015 was - 3 games per year.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "To figure out how many vacation days she had left to use, Emma looked over her old calendars to figure out how many days of vacation she had taken each year. According to the table, what was the rate of change between 2013 and 2014?", "modality": "text", "role": "user" }, { "data": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{16 vacation days - 20 vacation days}{2014 - 2013}\n = \\frac{16 vacation days - 20 vacation days}{1 year}\n = \\frac{-4 vacation days}{1 year}\n = -4 vacation days per year\nThe rate of change between 2013 and 2014 was - 4 vacation days per year.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Jackson has $84.50. Does he have enough to buy a rolling pin and a set of dishes?", "modality": "text", "role": "user" }, { "data": "Add the price of a rolling pin and the price of a set of dishes:\n$12.24 + $74.11 = $86.35\n$86.35 is more than $84.50. Jackson does not have enough money.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Josh has $37.00. Does he have enough to buy a banana cream pie and a carrot cake?", "modality": "text", "role": "user" }, { "data": "Add the price of a banana cream pie and the price of a carrot cake:\n$14.40 + $23.64 = $38.04\n$38.04 is more than $37.00. Josh does not have enough money.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "A bus driver paid attention to how many passengers her bus had each day. What is the mean of the numbers?", "modality": "text", "role": "user" }, { "data": "Read the numbers from the table.\n38, 36, 45, 55, 37, 53\nFirst, count how many numbers are in the group.\nThere are 6 numbers.\nNow add all the numbers together:\n38 + 36 + 45 + 55 + 37 + 53 = 264\nNow divide the sum by the number of numbers:\n264 ÷ 6 = 44\nThe mean is 44.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Deb counted the total number of shells collected by her friends during a walk on the beach. How many people found at least 2 seashells?", "modality": "text", "role": "user" }, { "data": "Find the rows for 2, 3, 4, and 5 seashells. Add the frequencies for these rows.\nAdd:\n20 + 18 + 8 + 14 = 60\n60 people found at least 2 seashells.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Look at Kasey's pay stub. Kasey lives in a state that has state income tax. How much payroll tax did Kasey pay in total?", "modality": "text", "role": "user" }, { "data": "To find the total payroll tax, add the federal income tax, state income tax, and other taxes.\nThe federal income tax is $266.60. The state income tax is $151.79. The other taxes are $180.31. Add.\n$266.60 + $151.79 + $180.31 = $598.70\nKasey paid a total of $598.70 in payroll tax.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "After growing tired of squinting while driving, Aaron went shopping for a pair of sunglasses. He tried on glasses with different frames and lenses. What is the probability that a randomly selected pair of sunglasses has browline frames and regular lenses? Simplify any fractions.", "modality": "text", "role": "user" }, { "data": "Let A be the event \"the pair of sunglasses has browline frames\" and B be the event \"the pair of sunglasses has regular lenses\".\nTo find the probability that a pair of sunglasses has browline frames and regular lenses, first identify the sample space and the event.\nThe outcomes in the sample space are the different pairs of sunglasses. Each pair of sunglasses is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the pair of sunglasses has browline frames and regular lenses\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\nFind the number of outcomes in the event A and B.\nA and B is the event \"the pair of sunglasses has browline frames and regular lenses\", so look at the table to see how many pairs of sunglasses have browline frames and regular lenses.\nThe number of pairs of sunglasses that have browline frames and regular lenses is 3.\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of pairs of sunglasses.\n7 + 2 + 4 + 3 = 16\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{16}\nThe probability that a pair of sunglasses has browline frames and regular lenses is \\frac{3}{16}.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "How much money does Neil need to buy a polished silver top shell and a purple clam shell?", "modality": "text", "role": "user" }, { "data": "Add the price of a polished silver top shell and the price of a purple clam shell:\n$0.04 + $0.09 = $0.13\nNeil needs $0.13.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "An athlete counted how many autographs he signed each day. What is the range of the numbers?", "modality": "text", "role": "user" }, { "data": "Read the numbers from the table.\n5, 2, 4, 8, 6\nFirst, find the greatest number. The greatest number is 8.\nNext, find the least number. The least number is 2.\nSubtract the least number from the greatest number:\n8 − 2 = 6\nThe range is 6.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Each pond has 5 ducks. How many ducks are in 4 ponds?", "modality": "text", "role": "user" }, { "data": "Count by fives. Use the chart: there are 20 ducks in 4 ponds.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "In a recent election at Olsen University, three people ran for student body president. What fraction of votes were for Melissa? Simplify your answer.", "modality": "text", "role": "user" }, { "data": "Find how many votes were for Melissa.\n550\nFind how many votes there were in total.\n730 + 550 + 710 = 1,990\nDivide 550 by1,990.\n\\frac{550}{1,990}\nReduce the fraction.\n\\frac{550}{1,990} → \\frac{55}{199}\n\\frac{55}{199} of votes were for Melissa.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Each farm has 10 horses. How many horses are on 3 farms?", "modality": "text", "role": "user" }, { "data": "Count by tens. Use the chart: there are 30 horses on 3 farms.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "How much more does a bowl of oatmeal cost than a breakfast burrito?", "modality": "text", "role": "user" }, { "data": "Subtract the price of a breakfast burrito from the price of a bowl of oatmeal.\n$8.00 - $5.00 = $3.00\nA bowl of oatmeal costs $3.00 more than a breakfast burrito.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Shelley buys 1 pound of double chocolate ice cream and 2 pounds of coffee ice cream. How much does she spend?", "modality": "text", "role": "user" }, { "data": "Find the cost of the double chocolate ice cream. Multiply:\n$3 × 1 = $3\nFind the cost of the coffee ice cream. Multiply:\n$2 × 2 = $4\nNow find the total cost by adding:\n$3 + $4 = $7\nShe spends $7.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Some friends played a trivia game and recorded their scores. What is the range of the numbers?", "modality": "text", "role": "user" }, { "data": "Read the numbers from the table.\n4, 10, 7, 8, 7, 6, 4, 7\nFirst, find the greatest number. The greatest number is 10.\nNext, find the least number. The least number is 4.\nSubtract the least number from the greatest number:\n10 − 4 = 6\nThe range is 6.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Employees at Florence's Movies tracked the number of movies that customers rented last month. How many customers rented a movie at least 3 times?", "modality": "text", "role": "user" }, { "data": "Find the rows for 3, 4, and 5 times. Add the frequencies for these rows.\nAdd:\n13 + 12 + 14 = 39\n39 customers rented a movie at least 3 times.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Fernando asked a group of 40 seventh graders and eighth graders what type of books they prefer. mystery or science fiction. This table shows the relative frequencies from the survey. How many more eighth graders than seventh graders prefer science fiction?", "modality": "text", "role": "user" }, { "data": "Find the number of seventh graders who prefer science fiction and the number of eighth graders who prefer science fiction. Then, subtract to find the difference.\nTo start, find the relative frequency of seventh graders who prefer science fiction.\nThe relative frequency is 0.30. To find the number of seventh graders who prefer science fiction, multiply by 40, the total number of students Fernando surveyed.\n0.30 · 40 = 12\nSo, 12 seventh graders prefer science fiction.\nNext, find the relative frequency of eighth graders who prefer science fiction.\nThe relative frequency is 0.45. To find the number of eighth graders who prefer science fiction, multiply by 40, the total number of students Fernando surveyed.\n0.45 · 40 = 18\nSo, 18 eighth graders prefer science fiction.\nLast, find how many more eighth graders than seventh graders prefer science fiction. Subtract.\n18 - 12 = 6\nSo, 6 more eighth graders than seventh graders prefer science fiction.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "The table shows a function. Is the function linear or nonlinear?", "modality": "text", "role": "user" }, { "data": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 11}{13 - 12}\n = \\frac{-1}{1}\n = -1\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{9 - 10}{14 - 13}\n = \\frac{-1}{1}\n = -1\nThe two rates of change are the same.\n1.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Jada graphed the amount of snow that fell in the last 7 days. What is the mean of the numbers?", "modality": "text", "role": "user" }, { "data": "Read the numbers from the table.\n7, 1, 4, 3, 4, 1, 1\nFirst, count how many numbers are in the group.\nThere are 7 numbers.\nNow add all the numbers together:\n7 + 1 + 4 + 3 + 4 + 1 + 1 = 21\nNow divide the sum by the number of numbers:\n21 ÷ 7 = 3\nThe mean is 3.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "The employees at Mateo's Construction monitored the number of cracked window panes in each shipment they received. What is the largest number of cracked window panes?", "modality": "text", "role": "user" }, { "data": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 6.\nNow find the highest leaf in the last row. The highest leaf is 8.\nThe largest number of cracked window panes has a stem of 6 and a leaf of 8. Write the stem first, then the leaf: 68.\nThe largest number of cracked window panes is 68 cracked window panes.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "The houses in Irma's town get their water from a local reservoir. Irma and a group of engineers monitor the water level for safety and health reasons. The change in water level over two months is shown in the table. During which month did the water level change more?", "modality": "text", "role": "user" }, { "data": "A positive change means the water level went up. A negative change means the water level went down.\nTo find the month the water level changed more, use absolute value. Absolute value tells you how much the water level changed each month.\nApril: |-6| = 6\nMay: |4| = 4\nThe water level went down 6 inches in April, and it only went up 4 inches in May. The water level changed more in April.", "modality": "text", "role": "assistant" }, { "data": "The houses in Riley's town get their water from a local reservoir. Riley and a group of engineers monitor the water level for safety and health reasons. The change in water level over two months is shown in the table. During which month did the water level change more?", "modality": "text", "role": "user" }, { "data": "A positive change means the water level went up. A negative change means the water level went down.\nTo find the month the water level changed more, use absolute value. Absolute value tells you how much the water level changed each month.\nApril: |-6| = 6\nMay: |4| = 4\nThe water level went down 6 inches in April, and it only went up 4 inches in May. The water level changed more in April.", "modality": "text", "role": "assistant" }, { "data": "The houses in Barbara's town get their water from a local reservoir. Barbara and a group of engineers monitor the water level for safety and health reasons. The change in water level over two months is shown in the table. During which month did the water level change more?", "modality": "text", "role": "user" }, { "data": "A positive change means the water level went up. A negative change means the water level went down.\nTo find the month the water level changed more, use absolute value. Absolute value tells you how much the water level changed each month.\nApril: |-6| = 6\nMay: |4| = 4\nThe water level went down 6 inches in April, and it only went up 4 inches in May. The water level changed more in April.", "modality": "text", "role": "assistant" }, { "data": "The houses in Stacy's town get their water from a local reservoir. Stacy and a group of engineers monitor the water level for safety and health reasons. The change in water level over two months is shown in the table. During which month did the water level change more?", "modality": "text", "role": "user" }, { "data": "A positive change means the water level went up. A negative change means the water level went down.\nTo find the month the water level changed more, use absolute value. Absolute value tells you how much the water level changed each month.\nApril: |-6| = 6\nMay: |4| = 4\nThe water level went down 6 inches in April, and it only went up 4 inches in May. The water level changed more in April.", "modality": "text", "role": "assistant" }, { "data": "The houses in Sidney's town get their water from a local reservoir. Sidney and a group of engineers monitor the water level for safety and health reasons. The change in water level over two months is shown in the table. During which month did the water level change more?", "modality": "text", "role": "user" }, { "data": "A positive change means the water level went up. A negative change means the water level went down.\nTo find the month the water level changed more, use absolute value. Absolute value tells you how much the water level changed each month.\nApril: |-6| = 6\nMay: |4| = 4\nThe water level went down 6 inches in April, and it only went up 4 inches in May. The water level changed more in April.", "modality": "text", "role": "assistant" }, { "data": "The houses in Victoria's town get their water from a local reservoir. Victoria and a group of engineers monitor the water level for safety and health reasons. The change in water level over two months is shown in the table. During which month did the water level change more?", "modality": "text", "role": "user" }, { "data": "A positive change means the water level went up. A negative change means the water level went down.\nTo find the month the water level changed more, use absolute value. Absolute value tells you how much the water level changed each month.\nApril: |-6| = 6\nMay: |4| = 4\nThe water level went down 6 inches in April, and it only went up 4 inches in May. The water level changed more in April.", "modality": "text", "role": "assistant" }, { "data": "The houses in Samantha's town get their water from a local reservoir. Samantha and a group of engineers monitor the water level for safety and health reasons. The change in water level over two months is shown in the table. During which month did the water level change more?", "modality": "text", "role": "user" }, { "data": "A positive change means the water level went up. A negative change means the water level went down.\nTo find the month the water level changed more, use absolute value. Absolute value tells you how much the water level changed each month.\nApril: |-6| = 6\nMay: |4| = 4\nThe water level went down 6 inches in April, and it only went up 4 inches in May. The water level changed more in April.", "modality": "text", "role": "assistant" }, { "data": "The houses in Emily's town get their water from a local reservoir. Emily and a group of engineers monitor the water level for safety and health reasons. The change in water level over two months is shown in the table. During which month did the water level change more?", "modality": "text", "role": "user" }, { "data": "A positive change means the water level went up. A negative change means the water level went down.\nTo find the month the water level changed more, use absolute value. Absolute value tells you how much the water level changed each month.\nApril: |-6| = 6\nMay: |4| = 4\nThe water level went down 6 inches in April, and it only went up 4 inches in May. The water level changed more in April.", "modality": "text", "role": "assistant" } ]
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[ { "data": "0", "modality": "image", "role": "user" }, { "data": "Look at the table. Then answer the question. At a price of $760, is there a shortage or a surplus?", "modality": "text", "role": "user" }, { "data": "At the price of $760, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "modality": "text", "role": "assistant" } ]