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{
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"data": "The members of the local garden club tallied the number of plants in each person's garden. How many gardens have at least 47 plants?",
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"data": "Find the row with stem 4. Count all the leaves greater than or equal to 7.\nCount all the leaves in the rows with stems 5, 6, 7, and 8.\nYou counted 13 leaves, which are blue in the stem-and-leaf plots above. 13 gardens have at least 47 plants.",
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{
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"data": "The transportation company tracked the number of train tickets sold in the past 4 days. On which day were the fewest train tickets sold?",
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"data": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 71.\nNow find the corresponding day. Friday corresponds to 71.",
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"data": "The Burlington Symphony categorizes its donors as gold, silver, or bronze depending on the amount donated. What fraction of donors are at the bronze level? Simplify your answer.",
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"data": "Find how many donors are at the bronze level.\n58\nFind how many donors there are in total.\n15 + 68 + 58 = 141\nDivide 58 by141.\n\\frac{58}{141}\n\\frac{58}{141} of donors are at the bronze level.",
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"data": "Employees at Eve's Movies tracked the number of movies that customers rented last month. How many customers are there in all?",
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"data": "Add the frequencies for each row.\nAdd:\n1 + 18 + 12 + 13 + 0 = 44\nThere are 44 customers in all.",
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"data": "A hardware store monitored how many hammers it sold in the past 6 days. What is the range of the numbers?",
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"data": "Read the numbers from the table.\n7, 6, 6, 9, 4, 2\nFirst, find the greatest number. The greatest number is 9.\nNext, find the least number. The least number is 2.\nSubtract the least number from the greatest number:\n9 − 2 = 7\nThe range is 7.",
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{
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"data": "A city planner counted the number of floors per building in the downtown area. How many buildings have at least 26 floors but fewer than 74 floors?",
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"data": "Find the row with stem 2. Count all the leaves greater than or equal to 6.\nCount all the leaves in the rows with stems 3, 4, 5, and 6.\nIn the row with stem 7, count all the leaves less than 4.\nYou counted 7 leaves, which are blue in the stem-and-leaf plots above. 7 buildings have at least 26 floors but fewer than 74 floors.",
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{
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"data": "A food critic counted the number of menu items at each restaurant in town. How many restaurants have fewer than 70 menu items?",
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"data": "Count all the leaves in the rows with stems 3, 4, 5, and 6.\nYou counted 15 leaves, which are blue in the stem-and-leaf plot above. 15 restaurants have fewer than 70 menu items.",
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"data": "The table shows a function. Is the function linear or nonlinear?",
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"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{8 - 17}{10 - 9}\n = \\frac{-9}{1}\n = -9\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{4 - 17}{11 - 9}\n = \\frac{-13}{2}\n = -6\\frac{1}{2}\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.",
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"data": "How much money does Jayla need to buy 5 orders of pasta with meat sauce and 3 orders of pasta with mushrooms?",
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"data": "Find the cost of 5 orders of pasta with meat sauce.\n$6.49 × 5 = $32.45\nFind the cost of 3 orders of pasta with mushrooms.\n$9.05 × 3 = $27.15\nNow find the total cost.\n$32.45 + $27.15 = $59.60\nJayla needs $59.60.",
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"data": "Colette's Candies has been studying how much chocolate people have been eating in different countries. How much chocolate was consumed per capita in Germany in 2005?",
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"data": "First, find the row for Germany. Then find the number in the 2005 column.\nThis number is 11. In 2005, people in Germany consumed 11 kilograms of chocolate per capita.",
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{
"data": "0",
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"data": "The table shows a function. Is the function linear or nonlinear?",
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"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{12 - 20}{11 - 10}\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{7 - 20}{12 - 10}\n = \\frac{-13}{2}\n = -6\\frac{1}{2}\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.",
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"data": "The school district compared how many swings each elementary school has. What is the mean of the numbers?",
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"data": "Read the numbers from the table.\n4, 5, 7, 7, 2\nFirst, count how many numbers are in the group.\nThere are 5 numbers.\nNow add all the numbers together:\n4 + 5 + 7 + 7 + 2 = 25\nNow divide the sum by the number of numbers:\n25 ÷ 5 = 5\nThe mean is 5.",
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{
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"data": "For a fundraiser, the children in the art club made greeting cards and kept track of how many they produced. How many children made exactly 4 greeting cards?",
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"data": "Find the row for 4 greeting cards and read the frequency. The frequency is 11.\n11 children made exactly 4 greeting cards.",
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{
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"data": "Erin graphed the daily low temperature for 4 days. Which day had the lowest temperature?",
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"data": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 11.\nNow find the corresponding day. Sunday corresponds to 11.",
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"data": "Look at the following schedule. Which event ends at 1.35 P.M.?",
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"data": "Find 1:35 P. M. on the schedule. The tiger lecture ends at 1:35 P. M.",
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"data": "A sociology teacher asked his students to complete a survey at the beginning of the year. One survey question asked, \"How responsible are you?\" Another question asked, \"How many siblings do you have?\" What is the probability that a randomly selected student is responsible and has 1 sibling? Simplify any fractions.",
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"data": "Let A be the event \"the student is responsible\" and B be the event \"the student has 1 sibling\".\nTo find the probability that a student is responsible and has 1 sibling, 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 is responsible and has 1 sibling\".\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 is responsible and has 1 sibling\", so look at the table to see how many students are responsible and have 1 sibling.\nThe number of students who are responsible and have 1 sibling is 2.\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of students.\n1 + 3 + 5 + 2 = 11\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{2}{11}\nThe probability that a student is responsible and has 1 sibling is \\frac{2}{11}.",
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"data": "How much money does Laura need to buy 6 waffle makers and 5 radios?",
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"data": "Find the cost of 6 waffle makers.\n$34.33 × 6 = $205.98\nFind the cost of 5 radios.\n$16.31 × 5 = $81.55\nNow find the total cost.\n$205.98 + $81.55 = $287.53\nLaura needs $287.53.",
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"data": "Dwayne's class recorded how many cans of food each student collected for their canned food drive. Who collected the fewest cans?",
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"data": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 646.\nNow find the corresponding name. Regan corresponds to 646.",
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"data": "A magazine editor looked at her sales figures for the past 4 months. How many more copies were sold in February than in November?",
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"data": "Find the numbers in the table.\nFebruary: 5,211\nNovember: 3,874\nNow subtract: 5,211 - 3,874 = 1,337.\n1,337 more copies were sold in February.",
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"data": "Terrence likes to make lemonade using the lemons from his grandmother's trees. There is a proportional relationship between the number of pitchers of lemonade Terrence wants to make, x, and the number of lemons he needs, y. What is the constant of proportionality? Write your answer as a whole number or decimal.",
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"data": "To find the constant of proportionality, calculate the ratio of y to x.\n8 / 2 = 4\n12 / 3 = 4\n16 / 4 = 4\n20 / 5 = 4\nThe ratio for each pair of x- and y-values is 4. So, the variables have a proportional relationship.\nSo, the constant of proportionality is 4 lemons per pitcher.",
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"data": "William has $16.00. Does he have enough to buy a crossword puzzle book and a picture book?",
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"data": "Add the price of a crossword puzzle book and the price of a picture book:\n$8.00 + $7.00 = $15.00\n$15.00 is less than $16.00. William does have enough money.",
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"data": "How much money does Gabrielle need to buy 7 oil paintings and 8 chandeliers?",
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"data": "Find the cost of 7 oil paintings.\n$82.70 × 7 = $578.90\nFind the cost of 8 chandeliers.\n$88.58 × 8 = $708.64\nNow find the total cost.\n$578.90 + $708.64 = $1,287.54\nGabrielle needs $1,287.54.",
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"data": "Look at the table. Then answer the question. At a price of $995, is there a shortage or a surplus?",
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"data": "At the price of $995, 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",
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"data": "How much money does Jen need to buy a book about cats, a book about airplanes, and a book about Australia?",
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"data": "Find the total cost of a book about cats, a book about airplanes, and a book about Australia.\n$17 + $16 + $10 = $43\nJen needs $43.",
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"data": "Dr. Patel, a zoo director, researched ticket prices at other zoos around the country. How much more does a senior ticket cost at the Denver Zoo than at the Oakland Zoo?",
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"data": "Find the Senior column. Find the numbers in this column for Denver and Oakland.\nDenver: $9.00\nOakland: $7.00\nNow subtract:\n$9.00 − $7.00 = $2.00\nA senior cost $2 more at the Denver Zoo than at the Oakland Zoo.",
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"data": "Emmy has $0.06. Does she have enough to buy an orange glass bead and a round silver bead?",
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"data": "Add the price of an orange glass bead and the price of a round silver bead:\n$0.02 + $0.04 = $0.06\nSince Emmy has $0.06, she has just enough money.",
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"data": "Brenda baked cookies each day for a bake sale. How many more cookies did Brenda bake on Sunday than on Friday?",
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"data": "Find the numbers in the table.\nSunday: 262\nFriday: 104\nNow subtract: 262 - 104 = 158.\nBrenda baked 158 more cookies on Sunday.",
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"data": "Mrs. Watson, the biology teacher, asked her students how many times they went to the science museum last year. How many students went to the science museum more than 3 times?",
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"data": "Find the row for 4 times and read the frequency. The frequency is 17.\n17 students went to the science museum more than 3 times.",
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"data": "Lauren recently emptied her coin jar and counted the coins. What fraction of the coins were gold coins? Simplify your answer.",
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"data": "Find how many coins were gold coins.\n28\nFind how many coins there were in total.\n98 + 28 + 63 = 189\nDivide 28 by189.\n\\frac{28}{189}\nReduce the fraction.\n\\frac{28}{189} → \\frac{4}{27}\n\\frac{4}{27} of coins were gold coins.",
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"data": "During a lab exercise, students in Professor Acosta's class rolled a 6-sided die and recorded the results. How many students rolled a number greater than 2?",
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"data": "Find the rows for 3, 4, 5, and 6. Add the frequencies for these rows.\nAdd:\n6 + 14 + 18 + 7 = 45\n45 students rolled a number greater than 2.",
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"data": "A farmer wrote down how many kilograms of cherries were sold in the past 4 days. On which day were the fewest kilograms of cherries sold?",
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"data": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 338.\nNow find the corresponding day. Friday corresponds to 338.",
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"data": "Abdul's classmates recorded how many books they read last year. What is the mean of the numbers?",
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"data": "Read the numbers from the table.\n89, 88, 87, 84, 83, 90, 82, 77\nFirst, count how many numbers are in the group.\nThere are 8 numbers.\nNow add all the numbers together:\n89 + 88 + 87 + 84 + 83 + 90 + 82 + 77 = 680\nNow divide the sum by the number of numbers:\n680 ÷ 8 = 85\nThe mean is 85.",
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"data": "The members of the track team compared how many miles they ran last week. What is the median of the numbers?",
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"data": "Read the numbers from the table.\n8, 8, 8, 7, 5\nFirst, arrange the numbers from least to greatest:\n5, 7, 8, 8, 8\nNow find the number in the middle.\n5, 7, 8, 8, 8\nThe number in the middle is 8.\nThe median is 8.",
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"data": "A machine dispensed red gumdrops into bags of various sizes. What is the smallest number of red gumdrops?",
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"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 3.\nNow find the lowest leaf in the first row. The lowest leaf is 0.\nThe smallest number of red gumdrops has a stem of 3 and a leaf of 0. Write the stem first, then the leaf: 30.\nThe smallest number of red gumdrops is 30 red gumdrops.",
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"data": "Each year, the campers at Darnel's summer camp try to set that summer's record for finishing the obstacle course as quickly as possible. According to the table, what was the rate of change between 2016 and 2017?",
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"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{26 minutes - 30 minutes}{2017 - 2016}\n = \\frac{26 minutes - 30 minutes}{1 year}\n = \\frac{-4 minutes}{1 year}\n = -4 minutes per year\nThe rate of change between 2016 and 2017 was - 4 minutes per year.",
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"data": "Laura looked at her e-mail outbox to see how many e-mails she sent each day. What is the mean of the numbers?",
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"data": "Read the numbers from the table.\n6, 8, 4, 8, 9\nFirst, count how many numbers are in the group.\nThere are 5 numbers.\nNow add all the numbers together:\n6 + 8 + 4 + 8 + 9 = 35\nNow divide the sum by the number of numbers:\n35 ÷ 5 = 7\nThe mean is 7.",
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"data": "How much money does Tommy need to buy a purple pen and a box of colored pencils?",
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"data": "Add the price of a purple pen and the price of a box of colored pencils:\n$0.31 + $0.95 = $1.26\nTommy needs $1.26.",
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"data": "The Millersburg Tourism Office researched how often people played miniature golf last summer. How many people are there in all?",
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"data": "Add the frequencies for each row.\nAdd:\n20 + 5 + 14 + 15 + 18 = 72\nThere are 72 people in all.",
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"data": "How much money does Maggie need to buy a math book and a coloring book?",
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"data": "Add the price of a math book and the price of a coloring book:\n$25.00 + $12.00 = $37.00\nMaggie needs $37.00.",
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"data": "An actor was informed how many fan letters he received each day. What is the range of the numbers?",
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{
"data": "Read the numbers from the table.\n5, 4, 8, 7, 10\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": "For an economics project, Anita determined the cost of ferry rides for bicycles and cars. How much does it cost to take a car on the Ocracoke ferry?",
"modality": "text",
"role": "user"
},
{
"data": "First, find the row for Ocracoke. Then find the number in the Car column.\nThis number is $15.00. It costs $15 to take a car on the Ocracoke ferry.",
"modality": "text",
"role": "assistant"
}
] |
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[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "Megan counted the number of peanuts in each bag of trail mix. How many bags had at least 40 peanuts but fewer than 100 peanuts?",
"modality": "text",
"role": "user"
},
{
"data": "Count all the leaves in the rows with stems 4, 5, 6, 7, 8, and 9.\nYou counted 11 leaves, which are blue in the stem-and-leaf plot above. 11 bags had at least 40 peanuts but fewer than 100 peanuts.",
"modality": "text",
"role": "assistant"
}
] |
|
[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "An environmental agency examined how many trees were planted by different organizations. Which organization planted the fewest trees?",
"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 436.\nNow find the corresponding organization. Acorns to Oaks corresponds to 436.",
"modality": "text",
"role": "assistant"
}
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[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "How much more does a set of bunk beds cost than a desk?",
"modality": "text",
"role": "user"
},
{
"data": "Subtract the price of a desk from the price of a set of bunk beds.\n$119 - $115 = $4\nA set of bunk beds costs $4 more than a desk.",
"modality": "text",
"role": "assistant"
}
] |
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[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "Each tin has 2 sugar cookies. How many sugar cookies are in 5 tins?",
"modality": "text",
"role": "user"
},
{
"data": "Count by twos. Use the chart: there are 10 sugar cookies in 5 tins.",
"modality": "text",
"role": "assistant"
}
] |
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[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "Ronald kept a log of how many pages he read each month. What is the mean of the numbers?",
"modality": "text",
"role": "user"
},
{
"data": "Read the numbers from the table.\n86, 89, 91, 87, 92\nFirst, count how many numbers are in the group.\nThere are 5 numbers.\nNow add all the numbers together:\n86 + 89 + 91 + 87 + 92 = 445\nNow divide the sum by the number of numbers:\n445 ÷ 5 = 89\nThe mean is 89.",
"modality": "text",
"role": "assistant"
}
] |
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[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "A pretzel stand owner kept track of the number of pretzels sold during the past 4 days. How many pretzels in total did the stand sell on Wednesday and Thursday?",
"modality": "text",
"role": "user"
},
{
"data": "Find the numbers in the table.\nWednesday: 653\nThursday: 187\nNow add: 653 + 187 = 840.\nThe stand sold 840 pretzels on Wednesday and Thursday.",
"modality": "text",
"role": "assistant"
}
] |
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[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "A museum curator counted the number of paintings in each exhibit at the art museum. What is the smallest number of paintings?",
"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 2.\nNow find the lowest leaf in the first row. The lowest leaf is 0.\nThe smallest number of paintings has a stem of 2 and a leaf of 0. Write the stem first, then the leaf: 20.\nThe smallest number of paintings is 20 paintings.",
"modality": "text",
"role": "assistant"
}
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[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "Valeria baked cookies each day for a bake sale. What is the median of the numbers?",
"modality": "text",
"role": "user"
},
{
"data": "Read the numbers from the table.\n39, 47, 49, 48, 32\nFirst, arrange the numbers from least to greatest:\n32, 39, 47, 48, 49\nNow find the number in the middle.\n32, 39, 47, 48, 49\nThe number in the middle is 47.\nThe median is 47.",
"modality": "text",
"role": "assistant"
}
] |
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[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "Look at the following schedule. Jeffrey just missed the 12.00 P.M. train at Hillcrest Boulevard. What time is the next train?",
"modality": "text",
"role": "user"
},
{
"data": "Find 12:00 P. M. in the row for Hillcrest Boulevard.\nLook for the next train in that row.\nThe next train is at 12:15 P. M.",
"modality": "text",
"role": "assistant"
}
] |
|
[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "Some candy companies compared how many pieces of candy they have produced. Which company has produced the most candy?",
"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 396.\nNow find the corresponding company. Tasty Treats corresponds to 396.",
"modality": "text",
"role": "assistant"
}
] |
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[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "Justin looked at his calendar to figure out how much time he spent babysitting each month. What is the mean of the numbers?",
"modality": "text",
"role": "user"
},
{
"data": "Read the numbers from the table.\n3, 3, 7, 2, 7, 2\nFirst, count how many numbers are in the group.\nThere are 6 numbers.\nNow add all the numbers together:\n3 + 3 + 7 + 2 + 7 + 2 = 24\nNow divide the sum by the number of numbers:\n24 ÷ 6 = 4\nThe mean is 4.",
"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 - 2}{4 - 3}\n = \\frac{7}{1}\n = 7\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{19 - 9}{5 - 4}\n = \\frac{10}{1}\n = 10\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": "Brandon wrote down how many cups of lemonade he sold in the past 4 days. On which day did the stand sell the fewest cups of lemonade?",
"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 21.\nNow find the corresponding day. Thursday corresponds to 21.",
"modality": "text",
"role": "assistant"
}
] |
|
[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "How much money does Bernie need to buy pasta with white sauce and pasta with tomato sauce?",
"modality": "text",
"role": "user"
},
{
"data": "Add the price of pasta with white sauce and the price of pasta with tomato sauce:\n$8.00 + $7.00 = $15.00\nBernie needs $15.00.",
"modality": "text",
"role": "assistant"
}
] |
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[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "A researcher recorded the number of cows on each farm in the county. How many farms have exactly 64 cows?",
"modality": "text",
"role": "user"
},
{
"data": "For the number 64, the stem is 6, and the leaf is 4. Find the row where the stem is 6. In that row, count all the leaves equal to 4.\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 farms have exactly 64 cows.",
"modality": "text",
"role": "assistant"
}
] |
|
[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "Greta looked at her calendar to figure out how much time she spent babysitting each month. What is the mean of the numbers?",
"modality": "text",
"role": "user"
},
{
"data": "Read the numbers from the table.\n5, 10, 6, 5, 8, 5, 3, 6\nFirst, count how many numbers are in the group.\nThere are 8 numbers.\nNow add all the numbers together:\n5 + 10 + 6 + 5 + 8 + 5 + 3 + 6 = 48\nNow divide the sum by the number of numbers:\n48 ÷ 8 = 6\nThe mean is 6.",
"modality": "text",
"role": "assistant"
}
] |
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[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "How much money does Edgar need to buy 8 rides on the Swinging Ship?",
"modality": "text",
"role": "user"
},
{
"data": "Find the total cost of 8 rides on the Swinging Ship by multiplying 8 times the price of a ride on the Swinging Ship.\n$1.16 × 8 = $9.28\nEdgar needs $9.28.",
"modality": "text",
"role": "assistant"
}
] |
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[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "Julia, a doctor's office receptionist, tracked the average waiting time at the office each month. According to the table, what was the rate of change between March and April?",
"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{27 minutes - 20 minutes}{1 month}\n = \\frac{7 minutes}{1 month}\n = 7 minutes per month\nThe rate of change between March and April was 7 minutes per month.",
"modality": "text",
"role": "assistant"
}
] |
|
[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "Deion kept track of how long it took to finish his homework each day. 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{15 minutes - 20 minutes}{1 day}\n = \\frac{-5 minutes}{1 day}\n = -5 minutes per day\nThe rate of change between Thursday and Friday was - 5 minutes per day.",
"modality": "text",
"role": "assistant"
}
] |
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[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "Look at the following schedule. Which event ends at 3.05 P.M.?",
"modality": "text",
"role": "user"
},
{
"data": "Find 3:05 P. M. on the schedule. The men's basketball game ends at 3:05 P. M.",
"modality": "text",
"role": "assistant"
}
] |
|
[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "An ice cream shop kept track of how many ice cream cones it sold in the past 4 days. On which day did the shop sell the fewest ice cream cones?",
"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 924.\nNow find the corresponding day. Saturday corresponds to 924.",
"modality": "text",
"role": "assistant"
}
] |
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[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "Chase has $0.44. Does he have enough to buy a piece of striped paper and a piece of red and purple stationery?",
"modality": "text",
"role": "user"
},
{
"data": "Add the price of a piece of striped paper and the price of a piece of red and purple stationery:\n$0.26 + $0.19 = $0.45\n$0.45 is more than $0.44. Chase does not have enough money.",
"modality": "text",
"role": "assistant"
}
] |
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[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "An author recorded how many words she wrote in the past 3 days. How many words in total did the author write on Tuesday and Wednesday?",
"modality": "text",
"role": "user"
},
{
"data": "Find the numbers in the table.\nTuesday: 2,864\nWednesday: 1,675\nNow add: 2,864 + 1,675 = 4,539.\nThe author wrote 4,539 words on Tuesday and Wednesday.",
"modality": "text",
"role": "assistant"
}
] |
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[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "Tracy graphed the daily low temperature for 7 days. What is the mean of the numbers?",
"modality": "text",
"role": "user"
},
{
"data": "Read the numbers from the table.\n7, 6, 4, 10, 4, 10, 8\nFirst, count how many numbers are in the group.\nThere are 7 numbers.\nNow add all the numbers together:\n7 + 6 + 4 + 10 + 4 + 10 + 8 = 49\nNow divide the sum by the number of numbers:\n49 ÷ 7 = 7\nThe mean is 7.",
"modality": "text",
"role": "assistant"
}
] |
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[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "Gary has $6,900. Does he have enough to buy a Clydesdale horse and a Pinto horse?",
"modality": "text",
"role": "user"
},
{
"data": "Add the price of a Clydesdale horse and the price of a Pinto horse:\n$3,242 + $3,570 = $6,812\n$6,812 is less than $6,900. Gary does have enough money.",
"modality": "text",
"role": "assistant"
}
] |
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[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "How much money does Leslie need to buy 2 TV ads?",
"modality": "text",
"role": "user"
},
{
"data": "Find the total cost of 2 TV ads by multiplying 2 times the price of a TV ad.\n$6,798 × 2 = $13,596\nLeslie needs $13,596.",
"modality": "text",
"role": "assistant"
}
] |
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[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "Look at the following schedule. Marvin just missed the 8.15 A.M. boat at Ocean City. What time is the next boat?",
"modality": "text",
"role": "user"
},
{
"data": "Find 8:15 A. M. in the row for Ocean City.\nLook for the next boat in that row.\nThe next boat is at 9:45 A. M.",
"modality": "text",
"role": "assistant"
}
] |
|
[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "Each desk has 5 pink highlighters. How many pink highlighters are in 5 desks?",
"modality": "text",
"role": "user"
},
{
"data": "Count by fives. Use the chart: there are 25 pink highlighters in 5 desks.",
"modality": "text",
"role": "assistant"
}
] |
|
[] | [] | [
{
"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. She 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 5.\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of songs.\n2 + 5 + 2 + 7 = 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{5}{16}\nThe probability that a song was rock and had 0-500 plays is \\frac{5}{16}.",
"modality": "text",
"role": "assistant"
}
] |
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[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "The players on a quiz show received the following scores. What is the range of the numbers?",
"modality": "text",
"role": "user"
},
{
"data": "Read the numbers from the table.\n2, 4, 10, 1, 6, 4, 8, 4\nFirst, find the greatest number. The greatest number is 10.\nNext, find the least number. The least number is 1.\nSubtract the least number from the greatest number:\n10 − 1 = 9\nThe range is 9.",
"modality": "text",
"role": "assistant"
}
] |
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[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "Each tin has 2 chocolates. How many chocolates are in 6 tins?",
"modality": "text",
"role": "user"
},
{
"data": "Count by twos. Use the chart: there are 12 chocolates in 6 tins.",
"modality": "text",
"role": "assistant"
}
] |
|
[] | [] | [
{
"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 - 16}{8 - 7}\n = \\frac{-7}{1}\n = -7\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{2 - 9}{9 - 8}\n = \\frac{-7}{1}\n = -7\nThe two rates of change are the same.\n7.\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": "Mr. Clarke, a P.E. teacher, wrote down how much weight each of his students could lift. What is the lowest weight lifted?",
"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 1.\nNow find the lowest leaf in the first row. The lowest leaf is 2.\nThe lowest weight lifted has a stem of 1 and a leaf of 2. Write the stem first, then the leaf: 12.\nThe lowest weight lifted is 12 pounds.",
"modality": "text",
"role": "assistant"
}
] |
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[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "A pizza delivery driver paid attention to how many pizzas he delivered over the past 5 days. What is the median of the numbers?",
"modality": "text",
"role": "user"
},
{
"data": "Read the numbers from the table.\n10, 1, 8, 0, 7\nFirst, arrange the numbers from least to greatest:\n0, 1, 7, 8, 10\nNow find the number in the middle.\n0, 1, 7, 8, 10\nThe number in the middle is 7.\nThe median is 7.",
"modality": "text",
"role": "assistant"
}
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[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "Destiny has $12.00. Does she have enough to buy a book of crossword puzzles and a mystery novel?",
"modality": "text",
"role": "user"
},
{
"data": "Add the price of a book of crossword puzzles and the price of a mystery novel:\n$6.95 + $5.31 = $12.26\n$12.26 is more than $12.00. Destiny does not have enough money.",
"modality": "text",
"role": "assistant"
}
] |
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[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "Each coat has 2 buttons. How many buttons are on 3 coats?",
"modality": "text",
"role": "user"
},
{
"data": "Count by twos. Use the chart: there are 6 buttons on 3 coats.",
"modality": "text",
"role": "assistant"
}
] |
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[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "How much money does Sadie need to buy 7 diamond bracelets?",
"modality": "text",
"role": "user"
},
{
"data": "Find the total cost of 7 diamond bracelets by multiplying 7 times the price of a diamond bracelet.\n$534 × 7 = $3,738\nSadie needs $3,738.",
"modality": "text",
"role": "assistant"
}
] |
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[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "Some scooter companies compared how many scooters they sold. Which company sold the most scooters?",
"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 195.\nNow find the corresponding company. Scooters Galore corresponds to 195.",
"modality": "text",
"role": "assistant"
}
] |
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[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "Each locker has 10 volleyballs. How many volleyballs are in 4 lockers?",
"modality": "text",
"role": "user"
},
{
"data": "Count by tens. Use the chart: there are 40 volleyballs in 4 lockers.",
"modality": "text",
"role": "assistant"
}
] |
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[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "Mona's P.E. class participated in a push-up competition, and Mona wrote down how many push-ups each person could do. How many people did exactly 50 push-ups?",
"modality": "text",
"role": "user"
},
{
"data": "For the number 50, the stem is 5, and the leaf is 0. Find the row where the stem is 5. In that row, count all the leaves equal to 0.\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 people did exactly 50 push-ups.",
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{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "Reba's classmates recorded how many books they read last year. Who read the fewest books?",
"modality": "text",
"role": "user"
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{
"data": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 92.\nNow find the corresponding name. Reba corresponds to 92.",
"modality": "text",
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{
"data": "0",
"modality": "image",
"role": "user"
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{
"data": "Omar has $159. How much money will Omar have left if he buys a crystal sculpture and a chandelier?",
"modality": "text",
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{
"data": "Find the total cost of a crystal sculpture and a chandelier.\n$62 + $79 = $141\nNow subtract the total cost from the starting amount.\n$159 - $141 = $18\nOmar will have $18 left.",
"modality": "text",
"role": "assistant"
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{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "A gymnast jotted down the number of cartwheels she did each day. What is the median of the numbers?",
"modality": "text",
"role": "user"
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{
"data": "Read the numbers from the table.\n8, 3, 7, 9, 3\nFirst, arrange the numbers from least to greatest:\n3, 3, 7, 8, 9\nNow find the number in the middle.\n3, 3, 7, 8, 9\nThe number in the middle is 7.\nThe median is 7.",
"modality": "text",
"role": "assistant"
}
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{
"data": "0",
"modality": "image",
"role": "user"
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{
"data": "Each year the Riverside School District publishes its annual budget, which includes information on the sports program's per-student spending. According to the table, what was the rate of change between 2017 and 2018?",
"modality": "text",
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{
"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{$36 - $29}{2018 - 2017}\n = \\frac{$36 - $29}{1 year}\n = \\frac{$7}{1 year}\n = $7 per year\nThe rate of change between 2017 and 2018 was $7 per year.",
"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. What is the median of the numbers?",
"modality": "text",
"role": "user"
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{
"data": "Read the numbers from the table.\n23, 22, 18, 17, 21, 16, 20\nFirst, arrange the numbers from least to greatest:\n16, 17, 18, 20, 21, 22, 23\nNow find the number in the middle.\n16, 17, 18, 20, 21, 22, 23\nThe number in the middle is 20.\nThe median is 20.",
"modality": "text",
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{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "Teachers at Newberry Elementary School asked students to name their favorite desserts. What fraction of the votes were for candy? Simplify your answer.",
"modality": "text",
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"data": "Find how many students voted for candy.\n490\nFind how many votes there were in total.\n70 + 490 + 440 + 320 = 1,320\nDivide 490 by1,320.\n\\frac{490}{1,320}\nReduce the fraction.\n\\frac{490}{1,320} → \\frac{49}{132}\n\\frac{49}{132} of students voted for candy.",
"modality": "text",
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{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "Look at the following schedule. Ernest is at Oyster Lighthouse. If he wants to arrive at Sea Town at 1.30 P.M., what time should he get on the boat?",
"modality": "text",
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"data": "Look at the row for Sea Town. Find the boat that arrives at Sea Town at 1:30 P. M.\nLook up the column until you find the row for Oyster Lighthouse.\nErnest should get on the boat at 9:30 A. M.",
"modality": "text",
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[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "Arianna spent a week at the beach and recorded the number of shells she found each day. According to the table, what was the rate of change between Tuesday and Wednesday?",
"modality": "text",
"role": "user"
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{
"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{1 shell - 5 shells}{1 day}\n = \\frac{-4 shells}{1 day}\n = -4 shells per day\nThe rate of change between Tuesday and Wednesday was - 4 shells per day.",
"modality": "text",
"role": "assistant"
}
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[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "Mrs. Hampton told students how many rounds to expect in the spelling bee based on previous years. According to the table, what was the rate of change between 2009 and 2010?",
"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{10 rounds - 19 rounds}{2010 - 2009}\n = \\frac{10 rounds - 19 rounds}{1 year}\n = \\frac{-9 rounds}{1 year}\n = -9 rounds per year\nThe rate of change between 2009 and 2010 was - 9 rounds per year.",
"modality": "text",
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{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "Look at the following schedule. Which event ends at 5.55 P.M.?",
"modality": "text",
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{
"data": "Find 5:55 P. M. on the schedule. The otter feeding ends at 5:55 P. M.",
"modality": "text",
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{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "A car dealership tracked the number of cars sold each month. What is the range of the numbers?",
"modality": "text",
"role": "user"
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{
"data": "Read the numbers from the table.\n96, 95, 99, 99, 96, 98, 100, 99\nFirst, find the greatest number. The greatest number is 100.\nNext, find the least number. The least number is 95.\nSubtract the least number from the greatest number:\n100 − 95 = 5\nThe range is 5.",
"modality": "text",
"role": "assistant"
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{
"data": "0",
"modality": "image",
"role": "user"
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{
"data": "Worried about going over his storage limit, Franco monitored the number of undeleted voicemail messages stored on his phone each day. According to the table, what was the rate of change between Tuesday and Wednesday?",
"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{12 voicemail messages - 8 voicemail messages}{1 day}\n = \\frac{4 voicemail messages}{1 day}\n = 4 voicemail messages per day\nThe rate of change between Tuesday and Wednesday was 4 voicemail messages per day.",
"modality": "text",
"role": "assistant"
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[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "Mrs. Shaw told students how many rounds to expect in the spelling bee based on previous years. According to the table, what was the rate of change between 2018 and 2019?",
"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{10 rounds - 11 rounds}{2019 - 2018}\n = \\frac{10 rounds - 11 rounds}{1 year}\n = \\frac{-1 rounds}{1 year}\n = -1 rounds per year\nThe rate of change between 2018 and 2019 was - 1 rounds per year.",
"modality": "text",
"role": "assistant"
}
] |
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[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "Each bus has 10 empty seats. How many empty seats are on 6 buses?",
"modality": "text",
"role": "user"
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{
"data": "Count by tens. Use the chart: there are 60 empty seats on 6 buses.",
"modality": "text",
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{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "Each desk has 2 envelopes. How many envelopes are on 6 desks?",
"modality": "text",
"role": "user"
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{
"data": "Count by twos. Use the chart: there are 12 envelopes on 6 desks.",
"modality": "text",
"role": "assistant"
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[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "Look at the following schedule. Which activity ends at 2.05 P.M.?",
"modality": "text",
"role": "user"
},
{
"data": "Find 2:05 P. M. on the schedule. The bluegrass concert ends at 2:05 P. M.",
"modality": "text",
"role": "assistant"
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[] | [] | [
{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "A college professor asked his Psychology students to complete a personality test. He paid special attention to his students' career goals and their greatest fears. What is the probability that a randomly selected student has a fear of heights and wants to be a social worker? Simplify any fractions.",
"modality": "text",
"role": "user"
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{
"data": "Let A be the event \"the student has a fear of heights\" and B be the event \"the student wants to be a social worker\".\nTo find the probability that a student has a fear of heights and wants to be a social worker, 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 has a fear of heights and wants to be a social worker\".\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 has a fear of heights and wants to be a social worker\", so look at the table to see how many students have a fear of heights and want to be a social worker.\nThe number of students who have a fear of heights and want to be a social worker is 3.\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of students.\n3 + 3 + 4 + 2 = 12\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}{12}\n = \\frac{1}{4}\nThe probability that a student has a fear of heights and wants to be a social worker is \\frac{1}{4}.",
"modality": "text",
"role": "assistant"
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{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "Some teachers compared how many years they have been teaching. What is the range of the numbers?",
"modality": "text",
"role": "user"
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{
"data": "Read the numbers from the table.\n3, 1, 4, 6, 9, 3, 5, 3\nFirst, find the greatest number. The greatest number is 9.\nNext, find the least number. The least number is 1.\nSubtract the least number from the greatest number:\n9 − 1 = 8\nThe range is 8.",
"modality": "text",
"role": "assistant"
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{
"data": "0",
"modality": "image",
"role": "user"
},
{
"data": "Trudy counted the number of words per page in her new book. How many pages have at least 10 words but fewer than 20 words?",
"modality": "text",
"role": "user"
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{
"data": "Count all the leaves in the row with stem 1.\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 pages have at least 10 words but fewer than 20 words.",
"modality": "text",
"role": "assistant"
}
] |
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