Instructor: Diana Stinson Course: Hopkins

Transcription

1 Student: Date: Instructor: Diana Stinson Course: Hopkins Assignment: Summer Assignment students entering 7th grade Hopkins and yale 1. The ratio of lime juice to soy sauce in a salad dressing is : 3. The total of both ingredients is 15 tablespoons. How many tablespoons of each ingredient are used? There are tablespoons of lime juice and tablespoons of soy sauce.. Two business partners, Ellen and Bob, invested money in their business at a ratio of 7 to 8. Bob invested the greater amount. The total amount invested was $ 450. How much did each partner invest? Ellen invested $ and Bob invested $. 3. Tyrone is making 68 cookies for a party. Some will be pecan cookies. Some will be honey ginger cookies. The ratio of pecan to honey ginger cookies will be 11 : 6. Suppose you use systematic guess and check to find the number of each type of cookie. If the total for one of your guesses is half of 68, how might you change your guess? Use pencil and paper to explain your reasoning. If the total for one of your guesses is half of 68, how might you change your guess? A. Multiply each value by. B. Divide each value by. C. Subtract from each value. D. Add to each value. 4. The school drama club sponsored a guessing game at a fair. They put some blue and green marbles in a box. People had to guess how many of each were in the box given two clues. 1. There were 44 marbles total in the box.. The ratio of blue to green marbles was 7 : 4. How many of each color marble were in the box? There were blue marbles and green marbles in the box. 5. A doctor ordered a patient to exercise. The patient walked for 147 minutes in two weeks. The ratio of the time for the first week to the time for the second week is 8 : 13. How many minutes did the patient walk each week? The patient walked minutes the first week and minutes the second week. 6. Challenge Rachel works a day job and an evening job. She works 11 hours every two weeks. The ratio of the hours she works at her day job to the hours she works at her evening job is 11 : 5. The ratio of the hourly pay for her day job to the hourly pay for her evening job is 5 : 4. Rachel earns $ 0 an hour at her day job. How much does she earn every two weeks? Rachel earns $ every two weeks. 7. Three rivers all flow into the same lake. What is the total amount of water that they add to the lake each day? River Flow Rate River A 10 gallons per second River B 1,800 gallons per minute River C,000,000 gallons per day They add a total of gallons to the lake each day. 1/4

2 8. The table shows apple prices. Use pencil and paper. Explain how a customer could find which type of apple is the best buy. Then find the total cost if a customer wants to buy bushels of Red Delicious, 3 half-bushels of Gala, and pecks of Granny Smith. Apples Weight and Price Bushel of Red Delicious 40 pounds for $45 Half-Bushel of Gala 0 pounds for $1 Peck of Granny Smith 10 pounds for $15 The total cost is $. 9. Brandon wants to keep track of his monthly spending. Last month, Brandon shopped, bought 5 meals, and saw movies. He claims his spending totaled $ 79. Is Brandon's claim correct? If not, explain what mistake Brandon likely made. Activity Cost Meals $ 11 per meal Movies $ 8 per movie Shopping $ 60 per month Choose the correct answer below. A. Brandon's claim is correct. B. Brandon's claim is incorrect. He did not multiply $ 8 per meal by 5 meals and $ 11 per movie by movies. C. Brandon's claim is incorrect. He did not divide $ 60 per month by 30 days in a month. D. Brandon's claim is incorrect. He did not multiply $ 11 per meal by 5 meals and $ 8 per movie by movies. 10. Whitney wants to estimate how much liquid she drinks each week. Each day, she has 3 glasses of juice. Each day, she has glasses of milk with dinner. Whitney also drinks water throughout the day. How much liquid does Whitney drink in a week? Drink Amount Juice 6 ounces per glass Milk 8 ounces per glass Water 63 ounces per day Whitney drinks ounces in a week. 11. Think About the Process A movie theater shows 15 movies per day. The theater also holds 7 midnight screenings per month. The manager wants to know the number of movies for the month of September. The first step is to multiply 15 movies per day by 30 days to get 450 movies. What is the second step? Choose the correct answer below. A. Multiply 15 by 7. B. Add 15 to 450. C. Multiply 7 by 450. D. Add 7 to /4

3 1. Challenge Jon wants to find out how many calories he burns in a week by exercising. He swims 3 times per week, runs 3 miles per day, and bikes hours per week. How many total calories does he burn per week by exercising? Activity Calories Burned Swimming 00 calories per swim Running 100 calories per mile Biking 10 calories per hour Jon burns calories per week by exercising. 13. The polygon is made up of a rectangle and a triangle. The area of the rectangle is 70 m. Find the area of the polygon. 7 m Use pencil and paper. Is the result the same if you know that the area of the triangle is 70 m? Explain your reasoning. 7 m x Find the area of the polygon if the area of the rectangle is 70 m. The area of the polygon is m. 14. The school yard has an area of 3,864 ft. The section that is in the shape of a triangle is used for picnic tables. What is the area of the section for picnic tables? 46 ft x x The area of the section for picnic tables is ft. 15. Andrew is building this doll house with a removable roof. He incorrectly says he needs 3,708 square inches of wood to build the doll house. Find the amount of wood he needs to build the doll house. What was his likely mistake? 4 in. 16 in. 7 in. 18 in. 1 in. (The figure is not to scale.) Andrew needs square inches of wood to build the doll house. What was his likely mistake? A. He did not include the roof of the doll house. B. He did not include the base of the doll house. C. He found the volume of the doll house instead of the surface area of the doll house. D. He found the surface area of the doll house instead of the volume of the doll house. 3/4

4 16. You are painting the barn at a local farm. The barn only has one large entrance at the front. One gallon of paint covers 350 square feet. If you paint the four vertical sides and both parts of the roof, how many gallons of paint do you need? You need (Round up to the nearest gallon.) gallons of paint. 4 ft 53 ft 43 ft 14 ft 3 ft 13 ft 8 ft (The figure is not to scale.) 17. A shop would like to use boxes that can fit the most amount of spice packets, but use the least amount of cardboard. Which box should the shop use? 1 Click the icon to view the boxes. The shop should use Box (1) 1: Boxes Box L Box M 15 in. 3 in. 9 in. 3 in. 17 in. 7 in. (These figures are not to scale.) (1) L. M. 4/4

5 18. Challenge A cracker company cares about the environment so they would like to buy boxes that use the least amount of cardboard, but hold the most crackers. Which box should the company buy? Use pencil and paper. Find two boxes that use the same amount of cardboard but cannot hold the same amount of crackers. Click the icon to view the boxes. The company should buy Box (1) : Boxes Box R Box S 15 cm 15 cm 14 cm 3 cm 7 cm (These figures are not to scale.) 6 cm (1) S. R. 19. Jimmy's mother is preparing y gift bags for guests at Jimmy's graduation party. His mother buys times as many gift bags as the number of guests x. Express the relationship with an equation. Is the relationship between x and y proportional? Express the relationship with an equation. y = (Use integers or fractions for any numbers in the expression.) Is the relationship between x and y proportional? Yes No 0. At a cookout, Mr. Crawford makes lb of chicken for each guest. Express the relationship between the number of guests 3 x and the number of pounds of chicken y with an equation. Is the relationship between x and y proportional? Use pencil and paper to explain your reasoning. Express the relationship with an equation. y = (Use integers or fractions for any numbers in the expression.) Is the relationship between x and y proportional? No Yes 5/4

6 1. A recipe calls for 7 oz of flour for every 6 oz of milk. Let x be the amount of milk used. Let y be the amount of flour used. Express the relationship with an equation. Is the relationship between x and y proportional? If you use oz of milk, how much flour should you use? Express the relationship with an equation. y = (Use integers or fractions for any numbers in the expression.) Is the relationship between x and y proportional? Yes No You should use oz of flour. (Simplify your answer. Type an integer, fraction, or mixed number.). Think About the Process The temperature 100 ft below sea level is 33 F. The temperature at sea level is 53 F. The temperature drops 5 F every 1,000 ft above sea level. Let x be the distance above sea level in thousands of feet. Let y be the temperature. Express the relationship between x and y with an equation. Is the relationship between x and y proportional? What is the temperature 7,000 ft above sea level? What given information did you not use to solve this problem? Express the relationship with an equation. y = (Use integers or fractions for any numbers in the expression.) Is the relationship between x and y proportional? No Yes The temperature 7,000 ft above sea level is F. What given information did you not use to solve this problem? A. The temperature at sea level B. The temperature 100 ft below sea level C. The rate of change of the temperature 3. Challenge The value of a baseball player's rookie card began to increase once the player retired. When he retired in 1999 his card was worth $ 6.3. The value has increased by $ 1.54 each year since then. Express the relationship relating the value of the card y in dollars and the number of years x the player has been in retirement with an equation. Is the relationship between x and y proportional? What was the value of the card in 005? Express the relationship with an equation. y = (Use integers or decimals for any numbers in the expression.) Is the relationship between x and y proportional? Yes No The value of the card in 005 was $. 6/4

7 4. Alexander is building a fenced-in pen in his backyard for his dog, as shown. Write an expression that represents the total amount of fencing he will need, in feet. If the longer dimension of the rectangle is 1 feet, how many feet of fencing does Alexander need? x Write an expression that represents the total amount of fencing, in feet. Choose the correct answer below. x+1 A. 4x + 4 B. x + 4 C. 4x + 48 D. x + 1 Alexander needs feet of fencing. 5. An art exhibit is made up of four panels, each with the same height. The width of each panel is shown. Write an expression for the total area in terms of the height, h. If each panel is 10 ft tall, what is the total area of the exhibit? Write an expression for the total area of the exhibit. area = The area of the exhibit is ft. Panel Areas Panel Width (ft) A 5.46 B 6.19 C 4.54 D Use the algebra tiles to help you solve the equation x + 3 = 11. The solution is. (Type the value of x.) 7. Multiple Representations A group of 3 friends went to the movies. In addition to their tickets, they bought a large bag of popcorn to share for $ 6.5. The total was $ Write and solve an equation to find the cost of one movie ticket, m. Use pencil and paper. Draw a picture to model the equation. Write an equation that represents the cost of one movie ticket. Choose the correct answer below. A m = 8.75 B. 6.5 m + 3 = 8.75 C. 3 m = 8.75 D m = 8.75 The cost of one movie ticket is $. 7/4

8 8. 4 Challenge At a party, the amount of people who ate chicken wings was 9 less than of the total number of people. The 5 number of people who ate chicken wings was 39. Write and solve an equation to find the number of people at the party. Let x represent the number of people at the party. Use pencil and paper. Write a one-step equation that has the same solution. Write an equation that represents the number of people at the party. (1) x () = (3) There were people at the party. (1) 39 () 39 (3) How long will it take Stephanie to drive 175 miles if she averages 50 miles per hour on the trip? Use the distance formula d = rt where d represents distance, r represents rate, and t represents time to find your answer. It would take hours for Stephanie to drive 175 miles. (Type an integer or a decimal.) The formula A = LW represents the area of a rectangle. Solve the equation W = 3 for W to find the width of the rectangle 4 in inches. Use pencil and paper. Describe a situation when you could use this equation. What does the value of W represent in your problem? W = inch(es) (Type an integer or a simplified fraction.) Think About the Process The volume of the prism shown is 567 cm. Write an equation for the volume V of the prism. Then solve for x. What is the height of the prism? x+3 cm 7 cm 9 cm Write an equation for the volume V of the prism. Choose the correct answer below. x = A. V = ( 7)( 7 )(x + 3) B. V = x + 3 C. V = ( 7)( 9 )(x + 3) D. V = ( 7)( 9)(x 3) The height of the prism is cm. 8/4

9 3. Write and solve an inequality to find the values of x for which the perimeter of the rectangle is less than 104. x + 4 x Select the correct answer below and fill in the answer box to complete your choice. A. x < B. x > C. x D. x 33. A group of friends went out for lunch. Two people ordered soup. Four people ordered sandwiches. Each sandwich costs twice as much as a bowl of soup. Two people ordered burgers. Each burger costs three times as much as a bowl of soup. The total cost for their lunch was less than $ What was the price of a bowl of soup? The price of a bowl of soup was less than $. 34. The expression 3( 115 x + 146) represents the number of containers of juice sold in x days. How many days would it take to sell at least,163 containers of juice? Use pencil and paper. Explain what the numbers in the given expression could represent. It would take at least days to sell,163 containers of juice. 35. Andrew is making a bracelet and a necklace for himself and a bracelet for his friend. The necklace is going to be 4 times as long as each bracelet. Andrew only has 4 inches of string. How long can the bracelets be? How long can the necklace be? The bracelets can each be at most The necklace can be at most inches long. inches long. 36. Think About the Process Tori bowled 139 and 185 in her first two games. She wants to bowl an average of at least 00 in three games. Let x be her score in the third game. Which inequality symbol should you use for this situation if 00 is on the right side? Write an inequality for this problem. Then solve that inequality and interpret the result. Which inequality symbol should you use for this situation if 00 is on the right side? A. B. < C. D. > Tori must bowl at least in her third game in order to have an average of at least Challenge Andrea went to the store to buy a sweater. The sweater initially went on sale for 5% off the original price. It was then put on clearance at an additional 0% off the sale price. She also used a coupon that saved her an additional $ 3. Andrea did not spend more than $ for the sweater. What are the possible values for the original price of the sweater? The original price of the sweater was no more than $. 9/4

10 38. A block of wood has the shape of a triangular prism. The bases are right triangles. Find its surface area. 4.5 in. 7.5 in. 6 in. 17 in. The surface area is in Writing A triangular prism has a base that is an isosceles right triangle with sides 7 ft, 7 ft, and 9.9 ft. The height of the prism is 16 ft. What is the surface area of this prism? Another triangular prism with height 16 ft has a base that is an isosceles triangle that is not a right triangle. The sides of the base measure 7 ft, 7 ft, and 6.4 ft. Use pencil and paper. Explain why you have enough information to find the lateral area of this prism, but not enough information to find the surface area. The surface area of the prism with the isosceles right triangle base is ft. 40. Find the surface area of the right triangular prism. 6 in in. 48 in in. The surface area is in Challenge Two triangular prisms, each 39 in. long, have bases that are the same size isosceles right triangles. The sides of each triangle are 14 in., 14 in., and 19.8 in. What is the surface area of each triangular prism? Imagine you glue the lateral faces with the 19.8-in. sides together. What is the surface area of the resulting prism? The surface area of each triangular prism is in.. The surface area of the resulting prism is in.. 4. Reasoning Freezer A has interior dimensions 1.5 ft 1.5 ft 5 ft and sells for $ Freezer B has interior dimensions ft ft 4 ft and sells for $ Which freezer is a better buy in terms of dollars per cubic foot? Use pencil and paper. Show your work and explain your reasoning. Which freezer is the better buy? Freezer A Freezer B 10/4

11 43. Think About the Process At a store, a.7 ft by 3 ft by 3.7 ft rectangular container costs $5.00. A 3 ft by 4 ft by.5 ft container costs $5.70. How would you find which container is the better buy? Which container is the better buy? How would you find which container is the better buy? A. The container with the greater volume is always a better buy. B. Divide the volume of each container by its cost to find the price per cubic foot. C. The container with the lower cost is always a better buy. D. Divide the cost of each container by its volume to find the price per cubic foot. The (1) container is the better buy. (1) 3 ft by 4 ft by.5 ft.7 ft by 3 ft by 3.7 ft 44. You cut a piece of paper and fold it into a square pyramid. Find the area of the paper. 3 in. 4 in. The area of the paper is in Open-Ended Use pencil and paper. Think of an object that has the shape of a square pyramid. It could be pointed up, down, or to the left or right. Sketch a square pyramid that has the shape of the object. Then answer the question below. What information could you use to find the surface area of a square pyramid? Select all that apply. A. The lateral area B. The area of the base C. The slant height of the pyramid D. The perimeter of the base E. The height of the pyramid F. The side length of the base 46. Challenge Olivia buys material to make a tent. The tent will have the shape of a square pyramid with canvas material covering all five faces. The canvas material needed to make the tent costs $ 0.95 per square foot. How much does material for the tent cost? 13 ft 14 ft The material for the tent costs $. 11/4

12 47. Think About the Process You want to find whether the question shown below is statistical. What questions should you ask to do this? In what month were your classmates born? Select all of the questions you should ask. A. Are there as many boys as girls in the class? B. How many students are there in the class? C. Could the birth month vary from student to student? D. Could a student have more than one birth month? 48. The data in the table show the number of people in each of 0 households in a neighborhood. Make a dot plot of the data. Which dot plot represents the data? People per Household A. People per Household B. People per Household Number of People Number of People C. People per Household D. People per Household Number of People Number of People 49. Challenge The dot plot shows the scores for 5 students on a 10-point quiz. The lowest passing score is 4. What percent of the students passed the quiz? Quiz Scores Score % of the students passed the quiz. 1/4

13 50. Multiple Representations The table shows the test scores for 14 students on a math test. Make a histogram of the data using an interval width of 0. Use pencil and graph paper. Make at least two more histograms of the data using different interval widths. Explain which histogram best represents the data. Which histogram shows the data with interval width 0? Test Scores A. Frequency Test Scores B. Frequency Test Scores Points Points C. Frequency Test Scores D. Frequency Test Scores Points Points 51. The histogram shows the rainfall amounts from last week for several cities. No city had exactly 1 inch of rain. How many cities had less than 1 inch of rain? Frequency Amount of Rainfall Rainfall (inches) The number of cities that had less than 1 inch of rain is. 5. Challenge The histogram shows the ages of people at a movie. For the ticket prices shown, what was the total value of ticket sales? Ticket Prices Under 10 $5 Regular Price $10 Aged 60 or Over $ Frequency Ages of Moviegoers Years The total value of ticket sales was $. 13/4

14 53. Think About the Process On a school trip, 11 students bought a snack. The data show how much each student spent. After ordering the data set, what is the next step in drawing a box plot that shows the distribution of the amounts spent? Draw a box plot for the given data. $ 1.85, $ 1.90, $ 1.55, $ 1.95, $ 1.35, $ 1.40, $ 1.75, $ 1.00, $ 1.70, $ 1.0, $1.50 After ordering the data set, what is the next step in drawing a box plot that shows the distribution of the amounts spent? A. Plot and connect the end points. B. Write a title for the box plot. C. Find the five boundary values. D. Make a dot plot for comparing. Choose the correct answer below. A. B. C. Amount Spent Amount Spent Amount Spent Dollars Dollars Dollars 54. The data represents cave lengths, in miles. Make a box plot that shows the distribution of cave lengths. One cave is 06 miles long. Is this cave's length in the shortest 5%, the longest 5%, or the middle 50% of the cave lengths? 7, 0, 55, 9, 10, 60, 95, 44, 15, 6, 06 Choose the correct answer below. A. B. C. Cave Lengths Cave Lengths Cave Lengths Miles Miles Miles Is the 06-mile long cave in the shortest 5%, the longest 5%, or the middle 50% of the cave lengths? A. the shortest 5% B. the longest 5% C. the middle 50% 14/4

15 55. Challenge Your teacher asks 15 students, including you, to guess the weight (in ounces) of a basket of fruit. Each student must guess a different decimal value to the tenths place. Your guess is the middle value of the lower half of the data set. The guesses of the other 14 students are shown. 5.6, 7.5, 1.4, 44.7, 40.6, 1.8, 8., 5.4, 31.5, 40.5, 36.9, 38.8, 44.1, 40.4 What is your guess? Find the five boundary values of the data set to verify your answer. Include the number you chose in the data set. The middle value of the lower half of the data set, that is, your guess, is. The minimum value of the data set is. The maximum value of the data set is. The middle value of the data set is. The middle value of the upper half of the data set is. 56. Challenge You and a friend record the heights of 11 shrubs. Make a box plot that shows the distribution of heights, in inches. 51 in. ft 11 in. 60 in. 4 ft 6 in. 57 in. 47 in. 38 in. 58 in. 43 in. 30 in. 4 ft 5 in. Use pencil and paper. Describe what a box plot would look like if you had measured the shrub heights in centimeters. Choose the correct answer below. A. B. C. Shrub Heights Shrub Heights Shrub Heights Inches Inches Inches 57. Your friend is allowed to play video games if he gets mostly high grades. He made a histogram to represent h is test results. Is h is histogram misleading? Explain. Frequency Grades This Year Points Choose the correct answer below. A. Yes, it is misleading. The vertical scale does not start at 0. B. Yes, it is misleading. The intervals are not equal in size. C. Yes, it is misleading. The bars have different colors. D. Yes, it is misleading. The horizontal scale does not start at 0. E. No, it is not misleading. It correctly represents the scores he has gotten this year. 15/4

16 58. For one week, workers recorded wait times at an amusement park ride. They recorded how long visitors waited in line before getting on the ride. The histogram represents these wait times. Adam enjoyed the ride once that week. What would be the best estimate for how long Adam had to wait in line? Use pencil and paper. What additional information about Adam's visit to the park might cause you to change your answer? Explain your reasoning. Frequency 5,000 4,000 3,000,000 1,000 Wait Times Minutes Which of these is the best estimate for how long Adam had to wait in line? A. Between 5 and 30 minutes B. Between 0 and 5 minutes C. Between 10 and 15 minutes D. Between 15 and 0 minutes E. Less than 5 minutes F. Between 5 and 10 minutes 59. A fair coin is just as likely to show heads as it is to show tails when you toss it. Pedro wants to see if a coin is fair. He asks each of 5 friends to toss the coin 18 times. Each friend records the number of heads. Pedro makes this dot plot. Is the coin likely a fair coin? Results of Coin Tosses Number of Heads Use pencil and paper. Draw or describe the dot plot that would represent the numbers of tails that Pedro's friends tossed. Choose the correct answer below. A. No, the coin is likely not fair. It shows heads much less often than it shows tails. B. No, the coin is likely not fair. It shows heads much more often than it shows tails. C. Yes, the coin is likely fair. It shows heads about as often as it shows tails. 16/4

17 60. Challenge Your school's basketball team has played eleven games so far this season. Its score in each game is shown in the table. Make a box plot that represents these scores. The coach promised a team party if the team scored 55 points or more in at least 75% of the games. If the season ended today, would the team get a party? Make a box plot that represents the team's scores. Choose the correct answer below. Scores A. Scores B. Scores Number of Points Number of Points C. Scores D. Scores Number of Points Number of Points If the season ended today, the team (1) get a party. (1) would not would 61. Alejandro works as a waiter on the weekend. The table shows the tips he received in dollars over one weekend. He wants to know which night is less consistent. Compare the interquartile range of both nights to find the answer. Use pencil and paper. Construct a box plot for Alejandro's tips from Friday night. How can you use this plot to find the interquartile range? Tips ($) Friday Saturday Select the correct choice below and fill in the answer boxes to complete your choice. A. Saturday night was less consistent because the interquartile range, $, was greater than the interquartile range for Friday night, $. B. Friday night was less consistent because the interquartile range, $, was less than the interquartile range for Saturday night, $. C. Friday night was less consistent because the interquartile range, $, was greater than the interquartile range for Saturday night, $. D. Saturday night was less consistent because the interquartile range, $, was less than the interquartile range for Friday night, $. 17/4

18 6. You recorded the humidity level in two cities over ten days. Which city has a lower variability in humidity level over these ten days? Why? Humidity Levels (%) City X City Y Select the correct choice below and fill in the answer boxes to complete your choice. A. City X has a lower variability because its mean absolute deviation is, while the mean absolute deviation for City Y is. B. City Y has a lower variability because its mean absolute deviation is, while the mean absolute deviation for City X is. 63. Think About the Process The student council is deciding the winner of a two-classroom running race. The given table shows the race times of the students of Classroom X and Classroom Y. The student council wants to give the prize to the faster class. How can they use the medians to find the winner? Compare the medians of both classes to decide the winner. 3 Click the icon to view the table of race times. How can the student council use the medians to find the winner? A. In a race, the winning time is the longer time, so the winner is the classroom with the greater median race time. B. In a race, the winning time is the longer time, so the winner is the classroom with the lesser median race time. C. In a race, the winning time is the shorter time, so the winner is the classroom with the lesser median race time. D. In a race, the winning time is the shorter time, so the winner is the classroom with the greater median race time. Find the winner. Select the correct choice below and fill in the answer boxes to complete your choice. A. Classroom Y is the winner because its median race time, s, is less than the median race time for Classroom X, s. B. Classroom X is the winner because its median race time, s, is greater than the median race time for Classroom Y, s. C. Classroom Y is the winner because its median race time, s, is greater than the median race time for Classroom X, s. D. Classroom X is the winner because its median race time, s, is less than the median race time for Classroom Y, s. 3: Table of Race times Race Times (s) Classroom X Classroom Y /4

19 64. Think About the Process Your teacher Mr. Croft gives the same history midterm to two different classes. The table shows the scores for each class. Use interquartile range to compare the consistency of the two classes. What are the steps in finding interquartile range? Which class received more consistent scores? Test Scores Period Period Which of these are steps in finding interquartile range? Select all that apply. A. Order the data set from least to greatest. B. Find the median. C. Find the minimum data value. D. Find the first quartile. E. Find the maximum data value. F. Find the third quartile. Select the correct choice below and fill in the answer boxes to complete your choice. A. Period was more consistent because the interquartile range,, was less than the interquartile range for Period 5,. B. Period 5 was more consistent because the interquartile range,, was greater than the interquartile range for Period,. C. Period 5 was more consistent because the interquartile range,, was less than the interquartile range for Period,. D. Period was more consistent because the interquartile range,, was greater than the interquartile range for Period 5,. 65. Hideki and Ariana are looking at the lengths of the movies from their favorite actors. The table shows the lengths in minutes for 1 movies from Hideki's favorite actor and 10 from Ariana's favorite. Compare their mean and median lengths to decide which movies are longer. Movie Lengths (min) Hideki Ariana Compare the mean lengths. Select the correct choice below and fill in the answer boxes to complete your choice. A. The movies from Hideki's favorite actor are longer since their mean, min, is greater than the mean length of movies from Ariana's favorite actor, min. B. The movies from Ariana's favorite actor are longer since their mean, min, is greater than the mean length of movies from Hideki's favorite actor, min. Compare the median lengths. Select the correct choice below and fill in the answer boxes to complete your choice. A. The movies from Ariana's favorite actor are longer since their median, min, is less greater the median length of movies from Hideki's favorite actor, min. B. The movies from Hideki's favorite actor are longer since their median, min, is greater than the median length of movies from Ariana's favorite actor, min. 19/4

20 66. Identify the dependent variable in this relationship. An object falls d meters in t seconds. The dependent variable is (1) the number of () (1) t, d, () seconds the object falls. meters the object falls. 67. The height of a tree and the age of the tree are related. Identify the dependent variable in this relationship. What is the dependent variable? A. The length of the growing season B. The type of tree C. The age of the tree D. The height of the tree 68. Challenge The number of links in a chain and the weight of the chain are related. What is the dependent variable in this relationship? Use pencil and paper. Describe why the other variable is considered to be independent in this situation. What is the dependent variable? A. The number of links in the chain B. The number of links per unit weight of chain C. The weight of each D. The weight of the link chain 69. Suppose you open a bank account and deposit $ 50. Then, every month you deposit $ 10. Write an equation that relates the total number of dollars deposited, T, and the month, m. Which equation below relates the total number of dollars deposited, T, and the month, m? A. T = m B. T = 50 m + 10 C. T = 60m D. T = In a large city, the number of people with the flu, k, increases every day. On the first day, 13 people have the flu. Each day after the first, there are 13 times as many people who have the flu than there were the previous day. Write an equation that relates the number of people who have the flu, k, and the day, d. Which equation relates the number of people who have the flu, k, and the day, d? A. k = 13d B. k = 13 d C. k = d D. k = 13 + d 0/4

21 71. Two cell phone companies start up at the same time. Each wants to model, or represent with an equation, the number of people, T, who have signed up for its services after m months. Company A models its number of people using T = m. Company B models its number of people using T = m. If the models are accurate, which company had more customers after 14 months? Which company had more customers after 14 months? Company A Company B 7. A pet shop has 1,188 animals for sale. The animals are either reptiles or mammals. Identify the unknown and related quantities. Which two unknown quantities in this situation are related? A. The number of mammals B. The number of pet owners C. The number of animals for sale D. The number of reptiles 73. A college student minds pets to cover her weekly expenses. The student charges $ 7 for each hour she spends minding pets. Identify the related and unknown quantities. Which two unknown quantities in this situation are related? A. The amount of money the student earns B. The number of pets the student minds C. The number of hours the student spends minding pets D. The number of college students minding pets 74. An athlete plans to exercise for 90 minutes. He will only swim and jog. Write an equation to represent this situation. Let x be the number of minutes the athlete spends swimming. Let y be the number of minutes jogging. Which equation represents this situation? A x = y B. x y = 90 C. x + y = 90 D y = x 75. Midas has 18 silver coins and 1 gold coins. He wants to stack each kind of coin so that all the stacks have the same number of coins. What is the greatest possible number of coins that he can place in each stack? The greatest possible number of coins in each stack is. 76. Students in an art class cut colored paper into equal-sized squares. The paper measures 14 cm by 98 cm and they do not want to waste any of it. What is the greatest possible side length for each square piece? The greatest possible side length is cm. 1/4

22 77. Think About the Process There are 1 boys and 90 girls working on a community service project. They work in groups where each group has the same number of boys and the same number of girls. What is the first step to finding the greatest number of groups possible? What is the greatest number of groups possible? What is the first step in finding the solution? A. Multiply 1 times 90. B. Divide 90 by 1. C. Find the factors of 1 and 90. D. Subtract 1 from 90. The greatest number of groups possible is. 78. The dimensions of a rectangular community garden are 7 ft by 63 ft. The gardeners plan to divide the garden into equal-sized square plots. What is the greatest possible side length of each square plot? Use pencil and paper. How many square plots will there be with this side length? What will be the total area of the square plots? Explain how you can use the total area to check your work. The greatest possible side length is ft. 79. Challenge You put 10 blue marbles and 35 green marbles into bags. Each bag has the same number of blue marbles and the same number of green marbles. What is the greatest possible number of bags you can make using all the marbles? How many blue marbles are in each bag? How many green marbles? Use pencil and paper. The greatest possible number of bags is. Each bag has blue marbles and green marbles. 80. A game maker asks his assistant to sketch a game piece that is a 4-sided regular polygon with side length units. What is the sketch of the game piece? Choose the correct answer below. A. B. C. Note that these figures are not drawn to scale. /4

23 81. A graphic designer is asked to sketch a pendant of a green isosceles triangle on top of a yellow square. The base of the triangle and the side of the square are units in length. Make figures that represent possible sketches of the pendant. Use pencil and paper. What other information does the graphic designer need to make the correct sketch? Explain your reasoning. Which figures represent possible sketches of the pendant? Select all that apply. A. B. C. D. E. F. Note that the figures are not drawn to scale. 8. A kite maker receives an order. The customer asks that the kite have a yellow isosceles triangle that points upward and a pink isosceles triangle below it that points downward. Both triangles have the same base, 19 units. The yellow triangle has height 9 units and the pink triangle has height 7 units. Make a figure that represents the design of the kite. Choose the correct answer below. A. B. C. D. Note that the figures are not drawn to scale. 83. A pennant maker is asked to make a pennant for your school. The pennant is a navy blue right triangle with dimensions x = 6, y = 8, and z = 10 and a yellow right triangle inside with dimensions q = 4.5, r = 6, and s = 7.5. Make a sketch that represents the design of your school's pennant. Choose the correct answer below. A. B. C. D. Note that the figures are not drawn to scale. 3/4

24 84. Find the surface area of the prism. 15 in. 7 in. 3 in. The surface area is in Find the surface area of the cube. 3 in. 4 The surface area is in.. (Simplify your answer.) 4/4