NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 8 145 Course 2 Explain whether the scatter plot of the data for each of the following shows a positive, negative, or no relationship. 1. 100 200 300 400 500 6 4 2 8 10 Games Won Average Game Attendance 0 y x 2. 30 20 10 40 50 60 70 80 90 100 Car Value (% cost new) Car Age (yr) 0 y x 2 8 10 4 6 3. 30 20 10 40 50 Pumpkin Weight (pounds) Growth Time (days) 0 y x 30 120150 60 90 4. RIVER Construct a scatter plot of the river’s width and the water’s speed. River Width (m) 15 18 20 28 30 32 38 40 42 45 Water Speed (km/h) 12.6 10.7 11.2 9.7 8.1 8.7 6.9 5.4 3.9 4.1 5. DONATIONS Construct a scatter plot of the number of cars donated to a local charity over the past five years since 2004. Years Since 2004 12345 Number of Cars 14 21 30 28 35 Get Connected Get Connected For more examples, go to glencoe.com. 8-3 C Homework Practice Scatter Plots 133_150_HPC3C8_892764.indd 145 33_150_HPC3C8_892764.indd 145 2/2/10 10:08:28 PM /2/10 10:08:28 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 8 146 Course 2 WAGES For Exercises 1 and 2, use the table below. Years Since 2002 Average Hourly Wage 1 $12.25 2 $12.75 3 $13.50 4 $14.00 5 $14.75 6 $15.25 BRICKS For Exercises 3 and 4, use the table below. Time (minutes) Bricks Remaining 0 600 10 565 20 530 30 495 40 460 50 425 1. Construct a scatter plot of the data. 3. Construct a scatter plot of the data. 2. a. Does the scatter plot show a positive, negative, or no relationship? Explain. b. If a relationship exists, make a conjecture about the hourly wages in 2009. 4. a. Does the scatter plot show a positive, negative, or no relationship? Explain. b. If a relationship exists, make a conjecture about the number of bricks remaining to be loaded after 1 hour and 10 minutes has passed. 8-3 C Problem-Solving Practice Scatter Plots 133_150_HPC3C8_892764.indd 146 33_150_HPC3C8_892764.indd 146 2/2/10 10:08:34 PM /2/10 10:08:34 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 8 147 Course 2 1. BALLOONS Salina is having a surprise party for her friend Ernie. The table shows how many balloons she has been able to blow up by the end of each 10-minute segment. Time (min) 10 20 30 40 50 Balloons 3 12 15 16 21 a. Construct a scatter plot of the data. Then draw a line that seems to best represent the data. b. Use the line of best fit to make a conjecture about the number of balloons she will have blown up at the end of 70 minutes. 2. COMIC BOOKS Sidney is selling his comic book collection on the Internet. The scatter plot shows how many comic books he has left at the end of each day. a. Write an equation in slope-intercept form for the line that is drawn. b. Use the equation to make a conjecture about the number of comic books he will have at the end of the seventh day. 3. ICE RINK Maury has an ice rink in his back yard. The scatter plot shows the thickness of the ice relative to the temperature. a. Write an equation in slope-intercept form for the line that is drawn. b. Use the equation to make a conjecture about the temperature if the thickness of the ice is 2 1 − 3 inches. Comic Books Left 20 10 0 40 30 80 90 70 60 50 13579 2468 Days y x Temperature (°F) -4 -5 -6 -7 -8 -9 0 -3 -1 -2 123 Ice Thickness (in.) y x Number of Balloons 8 4 0 16 12 32 34 28 24 20 10 30 50 70 90 20 40 60 80 Time y x Get Connected Get Connected For more examples, go to glencoe.com. 8-3 E Homework Practice Lines of Best Fit 133_150_HPC3C8_892764.indd 147 33_150_HPC3C8_892764.indd 147 2/2/10 10:08:38 PM /2/10 10:08:38 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 8 148 Course 2 FALL Haley has a leaf-raking company to help offset school costs. The table shows how many bags of leaves Haley was able to fill each hour. Use the information in the table to answer Exercises 1 and 2. Hour 1234 5 Bags Filled 3 4 5 8 14 1. Construct a scatter plot of the data. Then draw a line that represents the data. Bags Filled 2 0 4 8 10 12 14 16 18 6 123456789 Hours y x 2. Use the line of best fit to make a conjecture as to how many bags of leaves Haley will have filled at the end of 7 hours of raking. BABY POOL Cleo’s baby pool has a leak. The scatter plot shows the amount of water left in the pool at the end of each 5-minute segment. Use the information in the scatter plot to answer Exercises 3 and 4. 3. Write an equation in slope-intercept form for the line that is drawn. 4. Use the equation to make a conjecture about the amount of water left in the pool after 40 minutes. Water Left in Pool (gal) 5 0 15 45 35 25 5 15 25 35 45 Time y x 8-3 E Problem-Solving Practice Lines of Best Fit 133_150_HPC3C8_892764.indd 148 33_150_HPC3C8_892764.indd 148 2/2/10 10:08:45 PM /2/10 10:08:45 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 8 149 Course 2 Select an appropriate display for each situation. Justify your reasoning. 1. prices of athletic shoes in the store arranged by intervals 2. the numbers of teens who spend Saturdays doing homework, playing, and/or doing chores 3. the number of each of four kinds of trees found in the forest 4. the spread of the run times for the first 1 − 4 of the runners completing a marathon Select an appropriate display for each situation. Justify your reasoning. Then construct the display. 5. Heights of Mountains on the Moon Height Percent of the Mountains Less than 1 km 11.8 1-2 km 17.7 2-3 km 17.7 3-4 km 35.3 More than 4 km 17.7 6. WORK Jim worked 1 hour on Monday. On Tuesday, he worked 2 more hours than he worked on Monday. On Wednesday, he worked 2 more hours than he worked on Tuesday. The pattern continued through Friday. Get Connected Get Connected For more examples, go to glencoe.com. 8-3 G Homework Practice Select an Appropriate Display 133_150_HPC3C8_892764.indd 149 33_150_HPC3C8_892764.indd 149 2/2/10 10:08:50 PM /2/10 10:08:50 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 8 150 Course 2 AGE For Exercises 1–4, use the following information. Cosmic, Inc. is a software company with 30 employees. The ages of the employees are displayed below using both a histogram and a stem-and-leaf plot. 1. Can you tell from the histogram how many employees are between the ages of 30 and 39? If so, how many are there? If not, explain your reasoning. 2. Can you tell from the stem-and-leaf plot how many employees are between the ages of 20 and 29? If so, how many are there? If not, explain your reasoning. 3. Can you tell from the histogram how many employees are between the ages of 36 and 43? If so, how many are there? If not, explain your reasoning. 4. Can you tell from the stem-and-leaf plot how many employees are between the ages of 36 and 43? If so, how many are there? If not, explain your reasoning. 5. CARS What percent of cars sold were small, medium, or large? Explain how you found your answer. 6. CARS Construct a circle graph using the data in the table in question 5. What benefit does the circle graph have? The circle graph shows how each size compares to the whole. 2 0 4 6 8 10 12 14 10–19 20–29 30–39 40–49 50–59 Age Number of Employees Employee Age Stem Leaf 1 9 2 1 2 2 4 4 4 4 5 5 6 6 8 9 3 0 0 0 1 2 3 3 7 8 8 9 4 2 5 7 7 5 3 1|9 = 19 Type/Size of Cars Sold in the U.S. Type/Size Percent Type/Size Percent Small 37% Large 13% Medium 33% Premium 17% Type/Size of Cars Sold in the U.S. 8-3 G Problem-Solving Practice Select an Appropriate Display 133_150_HPC3C8_892764.indd 150 33_150_HPC3C8_892764.indd 150 2/2/10 10:08:55 PM /2/10 10:08:55 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 9 151 Course 2 9-1 A Solve each equation for the indicated variable. 1. V = bwh, for b 2. I = prt, for p 3. L = 2πrh, for h 4. V = 1 − 3 πr2 h, for h 5. Ax + By = C, for y 6. A = P + Prt, for t 7. T = πrℓ + πr2 , for ℓ 8. a2 + b2 = c2 , for b 9. FIRE PIT The circumference C of Billy’s fire pit is 11.9 meters. a. Solve the equation C = 2πr for r. b. Find the radius r of Billy’s fire pit to the nearest tenth. 10. ROAD SALT The city keeps its road salt in a building shaped like a pyramid. The volume V of this building is 2,400 cubic meters. a. Solve the equation V = 1 − 3 Bh for h. b. Find the height h of the building if the area of the base B is 400 square meters. 11. TABLES The area of the round tables Moira is using at her party is 30.2 square feet. a. Solve the equation A = πr2 for r. b. Find the radius r of each table to the nearest tenth. Get Connected Get Connected For more examples, go to glencoe.com. Homework Practice Literal Equations 151_162_HPC3C9_892764.indd 151 51_162_HPC3C9_892764.indd 151 2/2/10 10:09:55 PM /2/10 10:09:55 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 9 152 Course 2 9-1 A 1. OATMEAL Oatmeal often comes in a container shaped like a cylinder. Suppose the volume V of an oatmeal container is 4,618.1 cubic centimeters. Solve the equation V = πr2 h for h. Then find the height h of the container if the radius is 7 centimeters. Round to the nearest tenth. 2. SIMPLE INTEREST George invested p dollars earning simple interest. Solve the equation I = prt for p. If the interest earned I was $11, invested at an interest rate r of 5% for a period t of 2 years, how much did he invest? 3. SNARE DRUM Harriet’s snare drum is shown below. Solve the equation A = πr2 for r. Find the radius r of her drum. Round to the nearest tenth. 4. DESK TOP Rio’s new desk in her bedroom has a desk top perimeter P of 152 inches. Solve the equation P = 2(ℓ + w) for w. Find the width w of her desk top if its length ℓ is 46 inches. 5. MIDPOINT The midpoint M of a line segment graphed on a number line is -3. Solve the equation M = − a + b 2 for b. Find the left endpoint b if the right endpoint a is 7. 6. THREE-DIMENSIONAL FIGURES Riaz is studying volume in geometry. An example from his book is shown below. Solve V = 1 − 3 πr2 h for r. Then find the radius r of the cone if the volume is 87.7 cubic centimeters. Round to the nearest tenth. 7. TESTS Mr. Tuttle’s first question on his test is to solve the equation y = mx + b for the variable b. a. Solve the equation for b. b. Find the value of b when y = 12, m = 2, and x = -3. 8. FLOOR TILES Ben is tiling his floor using floor tiles in the shape of a parallelogram. a. Solve the equation A = bh for h. b. Find the height h of one tile if the area A of the tile is 156 square centimeters and the base b is 12 centimeters. "= 153.9 in2 r = ? h = 4 cm Problem-Solving Practice Literal Equations 151_162_HPC3C9_892764.indd 152 51_162_HPC3C9_892764.indd 152 2/2/10 10:10:08 PM /2/10 10:10:08 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 9 153 Course 2 9-1 Complete each conversion. Round to the nearest hundredth if necessary. 1. 25°C = °F 2. 90°C = °F 3. 65°C = °F 4. -77°F = °C 5. 104.5°F = °C 6. 131.2°F = °C 7. 68°C = °F 8. -40°F = °C 9. -5.8°C = °F 10. 84°F = °C 11. 32°F = °C 12. -38°C = °F 13. 106.5°F = °C 14. 72°C = °F 15. -4°C = °F 16. EVERGLADES The maximum surface temperature ever recorded in the water of the Everglades in Miami-Dade County was 35.8°C. About what temperature is this in degrees Fahrenheit? Round to the nearest hundredth if necessary. 17. DOGS The average core body temperature of a dog is about 38°C. About what temperature is this in degrees Fahrenheit? Round to the nearest hundredth if necessary. 18. PRECIPITATION Whether precipitation reaches the ground as rain or snow depends on if the ground level temperature is 32 degrees Fahrenheit or less. About what would this temperature be in degrees Celsius? Round to the nearest hundredth if necessary. Get Connected Get Connected For more examples, go to glencoe.com. B Homework Practice Convert Temperatures 151_162_HPC3C9_892764.indd 153 51_162_HPC3C9_892764.indd 153 2/2/10 10:10:14 PM /2/10 10:10:14 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 9 154 Course 2 9-1 WEATHER Use the information in the table at Average Annual Temperature City Low High Daytona Beach 61°F 80°F Fort Myers 64°F 84°F Pensacola 59°F 77°F the right for Exercises 1 and 2. 1. Find the average annual low temperature in Fort Myers in degrees Celsius. Round to the nearest hundredth if necessary. 2. Find the average annual high temperature in Pensacola in degrees Celsius. Round to the nearest hundredth if necessary. 3. GRILLING According to a cookbook, beef cooked medium rare must be at a temperature of 63°C. About what temperature is this in degrees Fahrenheit? Round to the nearest hundredth if necessary. 4. BOILING POINT Water boils at 100°C. About what temperature is this in degrees Fahrenheit? Round to the nearest hundredth if necessary. 5. LAVA The temperature of molten lava varies depending on the kind of rock material it is made from. The temperature range is from 1,300°F to 2,000°F. When molten lava is at its highest temperature, at about what temperature is this in degrees Celsius? Round to the nearest hundredth if necessary. 6. SNAKES Corn snakes like a temperature no lower than 25°C in the daytime. About what temperature is this in degrees Fahrenheit? Round to the nearest hundredth if necessary. 7. BURNS The following table shows the time it takes to cause a burn at certain temperatures. What is the temperature of water in degrees Fahrenheit that it takes to cause a burn in 6 seconds? Round to the nearest hundredth if necessary. Temperature of Water Time to Cause a Burn 66°C 2 seconds 60°C 6 seconds 52°C 2 minutes B Problem-Solving Practice Convert Temperatures 151_162_HPC3C9_892764.indd 154 51_162_HPC3C9_892764.indd 154 2/2/10 10:10:18 PM /2/10 10:10:18 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 9 155 Course 2 9-1 Determine reasonable answers to solve Exercises 1 and 2. 1. POPULATION About 9.5% of the population of New Mexico is Native American. If the population of New Mexico is 1,874,614, would the number of Native Americans living in New Mexico be about 180,000, 360,000, or 900,000? Explain. 2. HOMES Mr. and Mrs. Whatley want to buy a new home for $245,000. The bank requires 20% of the price of the home as a down payment for the loan. Should the Whatleys plan to pay $5,000, $25,000, or $50,000 as the down payment? Explain. Use any strategy to solve Exercises 3–6. Some strategies are shown below. Problem-Solving Strategies • Determine reasonable answers. • Work backward. • Look for a pattern. • Choose an operation. 3. SPORTS Three teams participating in a track meet have 25 members, 29 members, and 33 members. The coach of the hosting team wants to have three bottles of water for each athlete. If each case of water contains 24 bottles, should the coach buy 4, 12, or 20 cases of water? 4. MONEY After Latoya gave 35% of her allowance to her brother and 25% of her allowance to her sister, she had $12 left. How much was Latoya’s allowance? 5. ELECTIONS A county with 31,500 registered voters is buying new voting machines. State law requires that the county have one polling place for every 750 registered voters and 4 voting machines per polling place. How many new voting machines should the county order? 6. GEOMETRY Kejal is drawing a rectangle similar to the one below except that each side of his rectangle is 2 1 − 2 times longer. Find the area of Kejal’s rectangle. Get Connected Get Connected For more examples, go to glencoe.com. Mixed Problem Solving 8 cm 2.4 cm C Homework Practice Problem-Solving Investigation: Determine Reasonable Answers 151_162_HPC3C9_892764.indd 155 51_162_HPC3C9_892764.indd 155 2/4/10 7:23:08 PM /4/10 7:23:08 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 9 156 Course 2 9-1 For Exercises 1 –8, determine a reasonable answer. 1. SHOPPING A coat that normally costs $90 is on sale at 45% off. If Daniel brings $45 with him, will he have enough to purchase the coat? Explain. 2. MONEY Mindy took $100 to the store. She spent $44.56 on a video game. She wants to buy a CD for $18.79 and a book for $32.89. Does she have enough money with her to make these two purchases? Explain. 3. SCHOOL There are 438 students at Newton Middle School. If 38% of the students participate in after-school sports, would the number of students involved in sports be about 110, 170, or 220? Explain. 4. JOBS Fredrick is paid $12.35 per hour at his part-time job at a landscaping company. If he is saving to buy a new MP3 player that costs $289, will he have to work 20, 25, or 30 hours? Explain. 5. INTEREST A savings account earns 5.23% interest in one year. If the account holds $4,978 for the entire year, about how much will it earn in interest? Explain. 6. SURVEY In a recent survey, 22% of students at Belletown Middle School participate in music programs at the school. If there are 1,417 students in the school, is 280, 420, or 560 a reasonable estimate for the number of students who participate in music programs? Explain. 7. CARS Maryanne is saving to buy a car. She wants to have a down payment of 10% for a car that costs $11,783. So far, she has saved $487. If she saves $125 each week for the down payment, how soon can she buy the car? 8. GAS Lucie’s car averages about 34.7 miles per gallon. If a full tank holds 14.3 gallons of gas, about how far can she drive on a full tank of gas? C Problem-Solving Practice Problem-Solving Investigation: Determine Reasonable Answers 151_162_HPC3C9_892764.indd 156 51_162_HPC3C9_892764.indd 156 2/2/10 10:10:25 PM /2/10 10:10:25 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 9 157 Course 2 A Complete. 1. 7,920 ft = mi 2. 47.5 g = mg 3. 14 qt = gal 4. 60 h = d 5. 15,000 L = kL 6. 6.4 m = cm Complete each conversion. Round to the nearest hundredth if necessary. 7. 4.4 L ≈ pt 8. 4 gal ≈ L 9. 15 ft ≈ m 10. 6 1 − 2 kg ≈ lb 11. 2.7 m ≈ yd 12. 40 qt ≈ L Order each set of measurements from least to greatest. 13. 1.1 ft, 5 in., 0.1 m, 19 cm 14. 1.5 pt, 0.5L, 0.8 qt, 400 mL 15. MARATHON The Chicago marathon is run in October. The distance is 26.2 miles. How far is this in kilometers? Round to the nearest hundredth if necessary. 16. ASTRONOMY The Earth rotates at a speed of 25,000 miles in 24 hours. How fast is this in kilometers per second? Get Connected Get Connected For more examples, go to glencoe.com. 9-2 Homework Practice Convert Length, Weight/Mass, Capacity, and Time 151_162_HPC3C9_892764.indd 157 51_162_HPC3C9_892764.indd 157 2/2/10 10:10:28 PM /2/10 10:10:28 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 9 158 Course 2 A 1. TIME Carrick wants to know how many seconds are in one day. He knows that there are 24 hours in a day. How many seconds are in one day? 2. MARKET Haroon went to the market and saw the sign shown below. If he wants a 16-ounce roast, what will it cost? Meat Weight (lb) Cost ($) Chops 2 6.90 Roast 4 19.50 Chicken 1.5 4.70 3. RAIN After waking up, Delman saw that it had rained overnight. His rain gauge showed that 6.35 centimeters of rain had fallen. How much rain is this in inches? 4. BUTTERFLY Melanie caught a butterfly and needed to keep it in a jar that had the capacity of at least 3 liters. How big does the jar have to be if its capacity is measured in gallons? Round to the nearest hundredth if necessary. 5. CANNED VEGETABLES Reid found that a can of green beans weighed 250 grams. What is the weight in kilograms? 6. TRAVEL Penelope lives in Chicago, Illinois, and is planning a trip to Florida. In her travel book, she found the information shown below. How far is it from Chicago to Jacksonville, Florida, in kilometers? Round to the nearest hundredth if necessary. Chicago to: Miles Tallahassee 965 Jacksonville 1,058 Miami 1,373 7. GARBAGE CAN A typical outdoor garbage can holds 30 gallons. How many cups does it hold? 8. FOOT Matt used a ruler to measure the length of his foot. He found it to be 25 centimeters long. How long is this in inches? Round to the nearest hundredth if necessary. 9-2 Problem-Solving Practice Convert Length, Weight/Mass, Capacity, and Time 151_162_HPC3C9_892764.indd 158 51_162_HPC3C9_892764.indd 158 2/2/10 10:10:32 PM /2/10 10:10:32 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 9 159 Course 2 Complete each conversion. Round to the nearest hundredth if necessary. 1. 16.2 cm/min = m/h 2. 49 oz/s = lb/min 3. 29 L/s = qt/min 4. 102 km/h = mi/min 5. 44 lb/min = kg/h 6. 97 cm/h = in./h 7. 39.5 fl oz/min ≈ mL/s 8. 400 pt/h ≈ L/min 9. 90 yd/s ≈ m/min Order each set of rates from least to greatest. 10. 20 qt/h, 1 oz/min, 1 L/min 11. 50 in./s, 2 mi/h, 5 yd/min 12. WIND One night there were wind gusts of up to 65 miles per hour. How fast is this in kilometers per minute? Round to the nearest hundredth if necessary. 13. LION A lion has a top speed of about 80 kilometers per hour. How fast is this in miles per hour? Round to the nearest hundredth if necessary. Get Connected Get Connected For more examples, go to glencoe.com. 9-2 B Homework Practice Convert Rates 151_162_HPC3C9_892764.indd 159 51_162_HPC3C9_892764.indd 159 2/2/10 10:10:35 PM /2/10 10:10:35 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 9 160 Course 2 1. FOOD Recently a study showed that the average amount of beef consumed per person in the U.S. was 64.9 pounds per year. How many pounds of beef does the average American consume on average per day? Round to the nearest hundredth if necessary. 2. SPEED OF LIGHT In a vacuum, the speed of light is approximately 3 × 108 meters per second. What is the approximate speed of light in kilometers per second? Round to the nearest hundredth if necessary. 3. ANIMALS The table shows the speed of several animals. What is the speed of an ostrich in feet per minute? Round to the nearest hundredth if necessary. Animal Speed (mph) Cheetah 70 Quarter Horse 47.5 Ostrich 40 Kangaroo 30 4. FAUCETS Suppose your bathroom faucet is dripping at a rate of 10 drips per minute. According to some calculations this amounts to about 3 liters per day. What is this volume of water in gallons per year? Round to the nearest hundredth if necessary. 5. NIAGARA FALLS The volume of water passing over the Canadian portion of Niagara Falls, known as Horseshoe Falls, is approximately 600,000 gallons of water per second. What is this volume of water in kiloliters per minute? Round to the nearest hundredth if necessary. 6. SPEED OF SOUND Sound travels through dry air at a temperature of 20°C, at 343 meters per second. What is the speed of sound in miles per hour? Round to the nearest hundredth if necessary. 7. GREAT LAKES A recent study claims that over the past few decades the volume of water lost was 845 million gallons per day. How many gallons is this per year? Round to the nearest hundredth if necessary. 8. GASOLINE CONSUMPTION The average amount of gasoline used per person in the U.S. was 1,635.2 liters per year. How many gallons did the average person use per year? Round to the nearest hundredth if necessary. 9-2 B Problem-Solving Practice Convert Rates 151_162_HPC3C9_892764.indd 160 51_162_HPC3C9_892764.indd 160 2/2/10 10:10:38 PM /2/10 10:10:38 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 9 161 Course 2 Complete each conversion. Round to the nearest hundredth if necessary. 1. 500 i n 2 = f t 2 2. 9.1 cm 2 = m m 2 3. 12.5 y d 3 = f t 3 4. 3,100,000 c m 3 = m 3 Complete each conversion. Round to the nearest hundredth if necessary. 5. 8.2 yd 2 = m 2 6. 512 c m 2 = i n 2 7. 27 m 3 = f t 3 8. 9.2 mi 2 = k m 2 9. CEILING TILES The area of the ceiling in Henry’s den is 600 square feet. How big is Henry’s ceiling in square meters? Round to the nearest hundredth if necessary. 10. SOUP Sudarsan’s soup pot holds 550 cubic centimeters of broth. How many cubic inches does it hold? Round to the nearest hundredth if necessary. 11. COOKING The volume of Gail’s slow cooker is 5,100 cubic centimeters. How many liters does it hold? Round to the nearest hundredth if necessary. 12. BREADBOX The inside of Fuad’s breadbox is 4,320 cubic inches. The width of the breadbox is 20 inches and the depth is 12 inches. How tall is the breadbox? Round to the nearest hundredth if necessary. Get Connected Get Connected For more examples, go to glencoe.com. 9-2 C Homework Practice Convert Units of Area and Volume 151_162_HPC3C9_892764.indd 161 51_162_HPC3C9_892764.indd 161 2/2/10 10:10:41 PM /2/10 10:10:41 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 9 162 Course 2 1. HOME Olivia’s home is 1,400 square feet. How big is her home in square yards? Round to the nearest hundredth if necessary. 2. WADING POOL Grayson’s wading pool holds 20,500 cubic centimeters of water. How many liters does it hold? Round to the nearest hundredth if necessary. 3. ROOFING TAR One gallon of roofing tar can cover 75 square feet. How many square meters will one gallon can cover? Round to the nearest hundredth if necessary. 4. RAIN BARREL A rain barrel holds 8,294.4 cubic inches of water. How many liters does it hold? Round to the nearest hundredth if necessary. 5. LAWNS Bonnie is comparing two bags of lawn fertilizer. Which bag of fertilizer will cover more of her lawn? Explain your reasoning. Brand Coverage Zott’s 700 sq yd Greener’s 600 sq m 6. PITCHER A pitcher holds 3.7 liters of tomato juice. How many cubic centimeters of tomato juice does it hold? Round to the nearest hundredth if necessary. 7. BALLOONS Meta bought a large balloon for her friend Greta’s birthday. The balloon holds 540 cubic centimeters of helium. How many cubic inches of helium does it hold? Round to the nearest hundredth if necessary. 8. YARD The area of Cornelius’ yard is 9,000 square meters. How big is his yard in square yards? Round to the nearest hundredth if necessary. 9-2 C Problem-Solving Practice Convert Units of Area and Volume 151_162_HPC3C9_892764.indd 162 51_162_HPC3C9_892764.indd 162 2/2/10 10:10:45 PM /2/10 10:10:45 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 10 163 Course 2 10-1 Find the circumference of each circle. Round to the nearest tenth. 1. 10 in. 2. 14 mm 3. 22 yd 4. 25 m Find the area of each circle. Round to the nearest tenth. 5. 25 m 6. 8.5 ft 7. 6.75 mi 8. 5.25 cm Find the exact circumference and area of each circle. 9. The diameter is 8 centimeters. 10. The radius is 4.7 inches. 11. The radius is 0.9 feet. 12. The diameter is 6.8 kilometers. 13. The diameter is 14 yards. 14. The radius is 1 1 − 6 millimeters. 15. WINDMILL Each sail on a windmill is 5 meters in length. How much area do the sails cover as they turn from the force of the wind? 16. ALGEBRA Find the radius of a circle if its area is 314 square miles. Get Connected Get Connected For more examples, go to glencoe.com. B Homework Practice Circumference and Area of Circles 163_178_HPC3C10_892764.indd 163 63_178_HPC3C10_892764.indd 163 2/2/10 10:11:09 PM /2/10 10:11:09 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 10 164 Course 2 10-1 1. FOUNTAINS The circular fountain in front of the courthouse has a radius of 9.4 feet. What is the circumference of the fountain? Round to the nearest tenth. 2. PETS A dog is leashed to a point in the center of a large yard, so the area the dog is able to explore is circular. The leash is 20 feet long. What is the area of the region the dog is able to explore? Round to the nearest tenth. 3. GARDENING A flowerpot has a circular base with a diameter of 27 centimeters. Find the circumference of the base of the flowerpot. Round to the nearest tenth. 4. WINDOWS Find the area of the window shown below. Round to the nearest tenth. 36 in. 5. BICYCLES A bicycle tire has a radius of 13 1 − 4 inches. How far will the bicycle travel in 40 rotations of the tire? Round to the nearest tenth. 13 in. 1 4 6. LANDSCAPING Joni has a circular garden with a diameter of 14 1 − 2 feet. If she uses 2 teaspoons of fertilizer for every 25 square feet of garden, how much fertilizer will Joni need for her entire garden? Round to the nearest tenth. B Problem-Solving Practice Circumference and Area of Circles 163_178_HPC3C10_892764.indd 164 63_178_HPC3C10_892764.indd 164 2/4/10 5:41:32 PM /4/10 5:41:32 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 10 165 Course 2 10-1 Mixed Problem Solving For Exercises 1 and 2, solve using the make a model strategy. 1. QUILTS Mrs. Renoir has completed the interior portion of a quilt top measuring 4 feet by 6 feet. She is outlining this with squares measuring 4 inches on each side. How many such squares will she need? 2. GEOMETRY Sunhee has four plastic shapes: a circle, a square, a triangle, and a pentagon. In how many ways can she line up the four shapes if the circle cannot be next to the square? Use any strategy to solve Exercises 3–7. Some strategies are shown below. PROBLEM-SOLVING STRATEGIES • Make a model. • Draw a diagram. • Guess, check, and revise. • Choose an operation. 3. FOOTBALL The attendance at the first two football games of the season are shown in the table. Did the attendance increase by about 1% or about 10%? Football Attendance Game 1 5,049 Game 2 5,582 4. GAMES Jonas has a deck of 40 cards. After giving each player in the game an equal number of cards, he has four cards left over, which is not enough to give each player another card. How many players could be in the game? 5. CLOTHING Salome has 5 T-shirts, 3 pairs of jeans, and 2 pairs of sneakers. In how many ways can she choose one T-shirt, one pair of jeans, and one pair of sneakers to wear today? 6. NUMBER THEORY After adding 8 to a number and then dividing by 3, the result is 19. What is the number? 7. TRAVEL Celia begins saving $28 each week from her paycheck to put toward a trip to Sicily. Airfare will be $942 including taxes and fees. How many weeks will it take Celia to save for the airfare? Get Connected Get Connected For more examples, go to glencoe.com. D Homework Practice Problem-Solving Investigation: Make a Model 163_178_HPC3C10_892764.indd 165 63_178_HPC3C10_892764.indd 165 2/3/10 12:00:26 AM /3/10 12:00:26 AM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 10 166 Course 2 10-1 1. How many large shipping boxes can be filled with cocoa tins? How many cocoa tins will be left over? 2. What are the dimensions of the smallest box that could be used to ship the remaining cocoa tins? 3. GAMES A hollow tower is built of 1-inch cubes with dimensions of 4 inches wide by 4 inches long by 15 inches high. How many 1-inch cubes would it take to fill the tower? 4. STAMPS Dina wants to display her stamp collection on a poster. Each stamp is a 1-inch square. She wants to arrange the stamps in a 24-by-48 array with one-half inch between each stamp and leave a 2-inch border around the outer edges of the array. What should the length and width of the poster board be? 5. TILING A wooden box is to be covered with 1-inch square tiles. The dimensions of the box are 10 inches by 6 inches by 4 inches. There is an opening in the top of the box that measures 8 inches by 4 inches. How many 1-inch tiles are needed to cover the sides and the top of the box? 6. PICTURE DISPLAY Julia is arranging pictures of her mother, her father, her brother, and herself on a shelf. If she wants to keep the pictures of her parents next to each other, how many different ways can she arrange the four pictures? Make a model to solve each problem. SHIPPING COCOA For Exercises 1 and 2, use the information at the right. This table gives information about cocoa tins that a distributor needs to box up and ship to various stores around the country. Sure-Safe Cocoa Tins dimensions diameter: 4 in. height: 8 in. quantity to be shipped 153 tins dimensions of large shipping boxes 18 in. × 18 in. × 24 in. high D Problem-Solving Practice Problem-Solving Investigation: Make a Model 163_178_HPC3C10_892764.indd 166 63_178_HPC3C10_892764.indd 166 2/2/10 10:11:34 PM /2/10 10:11:34 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 10 167 Course 2 10-1 Find the area of each figure. Round to the nearest tenth if necessary. 1. 5 mi 12 mi 8 mi 18 mi 2. 5.9 cm 3.6 cm 1.1 cm 4.8 cm 3. 5 ft 4 ft 4. 8 m 6 m 10 m 6 m 20 m 5. 8 yd 9 yd 6. 4 in. 12 in. 7 in. 9 in. In each diagram, one square unit represents 10 square centimeters. Find the area of each figure. Round to the nearest tenth if necessary. 7. 8. 9. GAZEBO The Parks and Recreation department is building a gazebo in the local park with the dimensions shown in the figure. What is the area of the floor? 10. DECK The Pueyo family wants to paint the deck around their swimming pool with the dimensions shown in the figure. If a gallon covers 200 square feet, how many gallons of paint are needed to apply two coats of paint? 24 ft 36 ft 24 ft 12 ft 30 ft 18 ft 5 m 11 m 4 m Get Connected Get Connected For more examples, go to glencoe.com. E Homework Practice Area of Composite Figures 163_178_HPC3C10_892764.indd 167 63_178_HPC3C10_892764.indd 167 2/2/10 10:11:38 PM /2/10 10:11:38 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 10 168 Course 2 10-1 LANDSCAPING For Exercises 1 and 2 use the diagram of a yard and the following information. The figure shows the measurements of Buzz’s yard which he intends to sod. 15 ft 20 ft 30 ft 50 ft 1. Find the area of the yard. 2. One pallet of sod covers 400 square feet. How many full pallets of sod will Buzz need to buy to have enough for his entire yard? 3. ICE CREAM Leeor was asked to repaint the sign for his mother’s ice cream shop, so he needs to figure out how much paint he will need. Find the area of the ice cream cone on the sign. Round to the nearest tenth. 4. HOME IMPROVEMENT Ward is planning to install a new countertop in his kitchen, as shown in the figure. Find the area of the countertop. 5. SCHOOL PRIDE Cindy has a jacket with the first letter of her school’s name on it. Find the area of the letter on Cindy’s jacket. 2 in. 10 in. 2 in. 2 in. 6 in. 6 in. 6. SWIMMING POOLS The Cruz family is buying a custom-made cover for their swimming pool, shown below. The cover costs $2.95 per square foot. How much will the cover cost? Round to the nearest cent. 15 ft 25 ft 6 in. 12 in. 3 ft 6 ft 3 ft 2.5 ft 2 ft 3 ft 2 ft 2 ft 2.5 ft E Problem-Solving Practice Area of Composite Figures 163_178_HPC3C10_892764.indd 168 63_178_HPC3C10_892764.indd 168 2/2/10 10:11:45 PM /2/10 10:11:45 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 10 169 Course 2 A Identify each figure. Then name the bases, faces, edges, and vertices. 1. " 5 # $ % 2. 3 4 5 1 7 6 3. " # $ : 8 ; % 9 4. Describe the shape resulting from a vertical, angled, and horizontal cross section of a rectangular prism. 5. Describe the shape resulting from a vertical, angled, and horizontal cross section of a triangular prism. 6. Describe the shape resulting from a vertical, angled, and horizontal cross section of a cone. Get Connected Get Connected For more examples, go to glencoe.com. 10-2 Homework Practice Three-Dimensional Figures 163_178_HPC3C10_892764.indd 169 63_178_HPC3C10_892764.indd 169 2/2/10 10:11:50 PM /2/10 10:11:50 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 10 170 Course 2 A ARCHITECTURE For Exercises 1–4, refer to the drawing of a wooden table. Side Front Each square has a side length of 5 inches. 1. Draw and label the top, front, and side views of the table. 2. Find the height of the table in inches. 3. Find the area of the table top. 4. Find the area of the wood that is touching the floor. 5. PUBLIC SPEAKING A pedestal used in an auditorium is shaped like a rectangular prism that is 1 unit high, 5 units wide, and 5 units long. Sketch the pedestal using isometric dot paper. 6. PETS Dora has four pet fish that she keeps in an aquarium. The aquarium is shaped like a triangular prism that is 4 units high. Sketch what this aquarium might look like using isometric dot paper. 10-2 Problem-Solving Practice Three-Dimensional Figures 163_178_HPC3C10_892764.indd 170 63_178_HPC3C10_892764.indd 170 2/2/10 10:11:56 PM /2/10 10:11:56 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 10 171 Course 2 Find the volume of each solid. Round to the nearest tenth if necessary. 1. 4 m 5 m 2. 7 in. 3 in. 2 in. 3. 7 cm 11 cm 4 cm 4. 1.1 yd 2.1 yd 0.8 yd 5. 10 ft 4.2 ft 6. 3 mm 12 mm 3 mm 7. rectangular prism: base, 10 meters; width, 5 meters; height, 5 meters 8. triangular prism: base of triangle, 8 inches; altitude, 8 inches; height of prism, 6 inches 9. cylinder: radius, 7 feet; height, 4 feet 10. cylinder: diameter, 6.4 centimeters; height, 4.9 centimeters 11. ALGEBRA Find the base of the triangle of a triangular prism with a height of 8 yards, altitude of 4 yards, and a volume of 16 cubic yards. 12. ALGEBRA Find the height of a cylinder with a diameter of 5 meters and a volume of 49.1 cubic meters. 13. WATER TANK About 7.5 gallons of water occupy one cubic foot. About how many gallons 100 ft 40 ft of water are in a cylindrical water tank with dimensions shown in the figure? Get Connected Get Connected For more examples, go to glencoe.com. 10-2 B Homework Practice Volume of Prisms and Cylinders 163_178_HPC3C10_892764.indd 171 63_178_HPC3C10_892764.indd 171 2/2/10 10:12:02 PM /2/10 10:12:02 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 10 172 Course 2 1. CAMPING A tent used for camping is shown below. Find the volume of the tent. 5 ft 6 ft 8 ft 2. CONSTRUCTION The dimensions of a new tree house are shown below. How many cubic feet of space will the tree house contain? 2 m 6 m 3 m 5 m 2 3 3. FOAM The figure below shows a piece of foam packaging. Find the volume of the foam. 1 ft 7 ft 3 ft 1 ft 2 ft 2 ft 4. DONATIONS Anderson is donating some outgrown clothes to charity. The dimensions of the box he is using are shown below. How many cubic feet of clothes will fit in the box? 2 ft 2.5 ft 3 ft 5. FARM LIFE A trough used for watering horses is shown in the figure. The trough is half of a cylinder. How many cubic feet of water will the trough hold? Round to the nearest tenth. 15 ft 1 ft 6. FARM LIFE If the volume of the water in the trough in Exercise 5 decreases by 5.6 cubic feet per day, after how many days will the trough be empty? Round to the nearest tenth if necessary. 10-2 B Problem-Solving Practice Volume of Prisms and Cylinders 163_178_HPC3C10_892764.indd 172 63_178_HPC3C10_892764.indd 172 2/2/10 10:12:09 PM /2/10 10:12:09 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 10 173 Course 2 Find the volume of each solid. Round to the nearest tenth if necessary. 1. 3 ft 3 ft 5 ft 2. 5.1 cm 3. 3 yd 2 yd 2 3 4 yd 1 3 4. 8.4 in. 5. 18 mm 20 mm 6. 10 in. 5 in. 7. 2 mm 8 mm 8 mm 6 mm 8. 3 ft 2 ft 4 ft 5 ft 9. 1.5 yd 2 yd 0.9 yd 10. PYRAMIDS The Great Pyramid has an astounding volume of about 84,375,000 cubic feet above ground. At ground level the area of the base is about 562,500 square feet. What is the approximate height of the Great Pyramid? Get Connected Get Connected For more examples, go to glencoe.com. 10-2 C Homework Practice Volume of Pyramids, Cones, and Spheres 163_178_HPC3C10_892764.indd 173 63_178_HPC3C10_892764.indd 173 2/2/10 10:12:14 PM /2/10 10:12:14 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 10 174 Course 2 1. DESSERT Find the volume of the ice cream cone shown below. Round to the nearest tenth if necessary. 1 in. 4 in. 2. SOUVENIRS On a trip to Egypt, Myra bought a small glass pyramid as a souvenir. Find the volume of the glass used to make the pyramid. Round to the nearest tenth. 4 in. 4 in. 4 in. 3. AUTO REPAIR A funnel used to fill the transmission on a car is shown below. Find the volume of the funnel. Round to the nearest tenth. 2 in. 9 in. 4. ART An artist created a commemorative marker in the shape of a triangular pyramid. Find the volume of the stone used to make the marker. Round to the nearest tenth. 12 ft A = 15.6 ft2 5. FARMING The top of a silo is a cone, as shown in the figure. Find the volume of the cone. Round to the nearest tenth. 7 ft 10 ft 6. TENNIS BALLS Find the volume of the tennis balls packed tightly in the can. 20.1 cm 10-2 C Problem-Solving Practice Volume of Pyramids, Cones, and Spheres 163_178_HPC3C10_892764.indd 174 63_178_HPC3C10_892764.indd 174 2/2/10 10:12:22 PM /2/10 10:12:22 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 10 175 Course 2 Find the lateral and total surface areas of each solid. Round to the nearest tenth if necessary. 1. 1 in. 4 in. 5 in. 2. 1.3 mm 0.9 mm 1.5 mm 1.1 mm 2.1 mm 3. 5 ft 7 ft 4. 7 yd 5 yd 5 yd 8 yd 4.3 yd 5. 9 cm 13 cm 6. 3 m 2 m 2 m1 2 7. ALGEBRA A rectangular prism has height 4 millimeters and width 5 millimeters. If the total surface area is 166 square millimeters, what is the base of the prism? 8. WATER A cylindrical-shaped water storage tank with diameter 60 feet and height 20 feet needs to be painted on the outside. If the tank is on the ground, find the surface area that needs painting. 9. CONCRETE Find the total surface area of the hollow concrete casing shown, including the interior. 8 in. 12 in. 8 in. 4 in. Get Connected Get Connected For more examples, go to glencoe.com. 10-3 B Homework Practice Surface Area of Prisms and Cylinders 163_178_HPC3C10_892764.indd 175 63_178_HPC3C10_892764.indd 175 2/2/10 10:12:26 PM /2/10 10:12:26 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 10 176 Course 2 1. BAKING The top and sides of the cake shown below are to be covered in frosting. Calculate the area that will be covered with frosting. 12 in. 9 in. 2 in. 2. GIFTS A birthday gift is placed inside the box shown below. What is the minimum amount of wrapping paper needed to wrap this gift? 10 in. 14 in. 7 in. 3. FARMING Phil is planning to shingle the roof on his barn shown below. How many square feet will he be shingling? 41.6 ft 27 ft 24 ft 24 ft 12 ft 4. FARMING Refer to Exercise 3. If one package of shingles covers 325 square feet, how many packages will Phil need to buy? 5. LIGHT SHOW A mirrored cylinder used in a light show is shown below. Only the curved side of the cylinder is covered with mirrors. Find the area of the cylinder covered in mirrors. Round to the nearest tenth. 22 cm 30 cm 6. SOUP Emily has the flu, so she decides to make chicken noodle soup. How many square inches of metal were used to make Emily’s can of soup? Round to the nearest tenth. 3 in. 4 in. 1 2 10-3 B Problem-Solving Practice Surface Area of Prisms and Cylinders 163_178_HPC3C10_892764.indd 176 63_178_HPC3C10_892764.indd 176 2/2/10 10:12:33 PM /2/10 10:12:33 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 10 177 Course 2 Find the lateral and total surface areas of each solid. Round to the nearest tenth if necessary. 1. 2.1 cm 2.1 cm 4.2 cm 2. 15 ft 15 ft 3. 3 yd 2.6 yd 3 yd 3 yd 3 yd 4. " = 9π in2 6 in. 5. 20 mm 16 mm 16 mm 6. 5 cm 12 cm 7. ALGEBRA A cone has a lateral surface area of 20π square yards. If the slant height is 2 yards, what is the total surface area of the cone? 8. PYRAMIDS When the Great Pyramid was built, the slant height was about 610 feet and the length of the base was about 750 feet. Find the approximate lateral surface area of the Great Pyramid when it was built. 10-3 D Homework Practice Surface Area of Pyramids and Cones 163_178_HPC3C10_892764.indd 177 63_178_HPC3C10_892764.indd 177 2/2/10 10:12:37 PM /2/10 10:12:37 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 10 178 Course 2 1. ROOFS A farmer is planning to put new roofing material on the pyramidal roof of a work shed as shown below. Calculate the number of square feet of roofing material needed. Round to the nearest tenth. 8 ft 10 ft 10 ft 2. TRAFFIC CONES A 12-inch highway traffic cone is a “truncated cone”. That is, a small cone is cut off the top. Calculate the lateral area of the truncated cone. Round to the nearest tenth. radius 0.625 in. 2.1 in. 14.7 in. 8.75 in. 12 in. 3. HOBBIES When the butterfly net shown below is fully extended, it forms the shape of a pyramid with a slant height of 26 inches. The sides of the square base are 12 inches. Calculate the amount of mesh material needed to make the butterfly net. 26 in. 12 in. 4. HORTICULTURE The local college has a greenhouse that is shaped like a square pyramid, as shown below. The lateral faces of the greenhouse are made of glass. Find the surface area of the glass on the greenhouse. 12 m 9 m 9 m 5. ART Find the surface area of the sculpture shown below. 12 ft 4 ft 6. COSTUMES The top of a costume hat is shaped like a triangular pyramid, as shown below. How much black felt is needed to cover the sides of the pyramid? 9 in. 11 in. 11 in. 11 in. 10-3 D Problem-Solving Practice Surface Area of Pyramids and Cones 163_178_HPC3C10_892764.indd 178 63_178_HPC3C10_892764.indd 178 2/2/10 10:12:44 PM /2/10 10:12:44 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 11 179 Course 3 11-1 A Name the property shown by each statement. 1. 1 · (a + 3) = a + 3 2. 2p + (3q + 2) = (2p + 3q) + 2 3. (ab)c = c (ab) 4. 2t · 0 = 0 5. m (nr) = (mn)r 6. 0 + 2s = 2s State whether the following conjectures are true or false. If false, provide a counterexample. 7. The product of an odd number and an even number is always odd. 8. The sum of two whole numbers is always larger than either whole number. Simplify each expression. Justify each step. 9. 2d (3) 10. 2y + (4 + 5y) 11. FAXES Marcellus sent four faxes to Gem. The first fax took 14 seconds to send, the second fax 19 seconds, the third 16 seconds, and the fourth 11 seconds. Use mental math to find out how many seconds it took to fax all four documents to Gem. Explain your reasoning. 12. SNOW The first four snowfalls of the year in Shawnee’s hometown measured 1.6 inches, 2.2 inches, 1.8 inches, and 1.4 inches. Use mental math to find the total amount of snow that fell. Explain your reasoning. Get Connected Get Connected For more examples, go to glencoe.com. Homework Practice Properties 179_192_HPC3C11_892764.indd 179 79_192_HPC3C11_892764.indd 179 2/2/10 10:13:03 PM /2/10 10:13:03 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 11 180 Course 3 11-1 A 1. PROPERTY Alana’s house sits on a rectangular lot with dimensions 62.4 feet by 108.6 feet. Use mental math to find the perimeter. 2. SHOPPING Sera went to the mall and made four purchases. She spent $2.85, $5.11, $7.89, and $4.15. Use mental math to determine how much money Sera spent at the mall. 3. VIDEO GAME Porsche bought a new video game. The first time she played, it took her 24 minutes to reach level 2, the second time it took 18 minutes, the third time it took 16 minutes, and the fourth time it took 12 minutes. Use mental math to determine how many minutes she spent at level 1 while playing these four games. 4. FLOWERS Bethany placed a bouquet of roses in a vase full of water. Each day she recorded how much water had evaporated from the vase before refilling it. The results are shown in the table below. Over the course of five days how much water had evaporated? Use mental math to find your answer. Day 12345 Evaporation (in.) 0.8 0.2 1.1 0.9 1 5. RECORDS Olympia listened to some old records. The first song lasted 2 minutes and 12 seconds, the second lasted 2 minutes and 16 seconds, the third 2 minutes and 18 seconds, and the fourth 3 minutes and 4 seconds. Use mental math to determine the total playing time for all four records. 6. DISTANCE Anza gave Angela directions to her house from school. Angela was to head south for 2.2 miles, then west for 3.5 miles, then south again for 5.8 miles. Use mental math to determine how far school is from Anza’s house. Explain your reasoning. 7. GROCERIES Tayshawn saw the following sign in a grocery store. If he buys one of each item, how much will he spend? Use mental math to help find your answer. Explain your reasoning. SALE Roast - $7.19 Bread - $1.56 Milk - $2.81 Yogurt - $0.44 Problem-Solving Practice Properties 179_192_HPC3C11_892764.indd 180 79_192_HPC3C11_892764.indd 180 2/4/10 5:46:02 PM /4/10 5:46:02 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 11 181 Course 3 11-1 Use the Distributive Property to evaluate each expression. 1. (16 – 6)2 2. 4 (12 + 3) 3. –3 (–7 + 2) 4. (8 + 3)(–1) 5. 5 (7 + 3) 6. –2 (8 – 5) Use the Distributive Property to rewrite each expression. 7. (2 + g)8 8. 4 (h – 5) 9. –7 (5 – n) 10. m(2m + 1) 11. 6x(y – z) 12. –3b(2b – 2a) 13. DINING OUT The table shows the different prices at a diner. a. Write two equivalent expressions for the total cost if two customers order each of the items. b. What is the total cost for both customers? 14. SUNDAES Carmine bought 5 ice cream sundaes for his friends. If each sundae costs $4.95, how much did he spend? Justify your answer by using the Distributive Property. Item Cost ($) Sandwich $5 Drink $2 Dessert $3 Get Connected Get Connected For more examples, go to glencoe.com. B Homework Practice The Distributive Property 179_192_HPC3C11_892764.indd 181 79_192_HPC3C11_892764.indd 181 2/2/10 10:13:20 PM /2/10 10:13:20 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 11 182 Course 3 11-1 1. SCHOOL PLAY Marika and her three friends attended the school play. Tickets cost $5.75 each, and Marika paid for everyone. Find the total cost of the tickets. Justify your answer by using the Distributive Property. 2. LUNCH Althea buys a carton of milk each day at school. The milk costs $0.90. How much does she spend on milk during a typical 5-day week? Justify your answer by using the Distributive Property. 3. BOOKSTORE The sign below indicates the cost for several items at Ting’s middle school bookstore. If Ting wants to buy two of each item, how much will it cost? Justify your answer by using the Distributive Property. Item Price ($) Pencil 1.00 Pen 2.50 Notebook 3.00 4. HOCKEY The table shows the price of a ticket and food items at a hockey game. a. Suppose Coleman and two of his friends go to the game. Write an expression that could be used to find the total cost for them to go to the game and buy one of each item. b. What is the total cost for all three people? Item Cost ($) Ticket 7.00 Hot dog 3.00 Fries 2.25 Candy bar 1.50 5. PICTURES Belinda wants to buy 5 pictures to hang in her family room. If each picture costs $30.90, how much will it cost her to buy all five? Justify your answer by using the Distributive Property. 6. FLASH DRIVES Mr. Kaplan is ordering 30 flash drives for the students in his class. If each one costs $11.95, how much will he pay? Justify your answer by using the Distributive Property. 7. FORMULA Mr. and Mrs. Newby are buying baby formula. Each case of formula costs $59.89. If they want to purchase four cases, how much will they pay? Justify your answer by using the Distributive Property. 8. TIRES Mao needs four new tires for his car. Each tire costs $88.70. How much will it cost him to buy the tires? Justify your answer by using the Distributive Property. B Problem-Solving Practice The Distributive Property 179_192_HPC3C11_892764.indd 182 79_192_HPC3C11_892764.indd 182 2/2/10 10:13:24 PM /2/10 10:13:24 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 11 183 Course 3 11-1 Identify the terms, like terms, coefficients, and constants in each expression. 1. 4b + 7b + 5 2. 8 + 6t – 3t + t 3. –5x + 4 – x –1 4. 2z – z + 6 5. 4 + h – 8 – h 6. y – y – 2 + 2 Write each expression in simplest form. 7. h + 6h 8. 10k - k 9. 3b + 8 + 2b 10. - 3 − 4 x - 1 − 3 + 7 − 8 x - 1 − 2 11. 5c - 3d - 12c + d 12. -y + 9z - 16y - 25z MEASUREMENT Write an expression in simplest form for the perimeter of each figure. 13. 14. 15. 3a - 1 2a + 3 a 4x - 3 4h + 6 5h 2x 2y + 2 3y - 2 2y - 2 2y -1 y 16. SHOPPING Maggie bought c CDs for $12 each, b books for $7 each, and a purse costing $24. a. Write an expression to show the total amount of money Maggie spent. b. If Maggie bought 4 CDs and 3 books, how much money did she spend? Get Connected Get Connected For more examples, go to glencoe.com. C Homework Practice Simplify Algebraic Expressions 179_192_HPC3C11_892764.indd 183 79_192_HPC3C11_892764.indd 183 2/2/10 10:13:28 PM /2/10 10:13:28 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 11 184 Course 3 11-1 1. GAMES At the Beltway Outlet store, you buy x computer games for $13 each and a magazine for $4. Write an expression in simplest form that represents the total amount of money you spend. 2. TENNIS Two weeks ago, Star bought 3 cans of tennis balls. Last week, she bought 4 cans of tennis balls. This week, she bought 2 cans of tennis balls. The tennis balls cost d dollars per can. Write an expression in simplest form that represents the total amount that Star spent. 3. AMUSEMENT PARKS Sari and her friends played miniature golf. There were p people in the group. Each person paid $5 for a round of golf and together they spent $9 on snacks. Write an expression in simplest form that represents the total amount that Sari and her friends spent. 4. BICYCLING The bicycle path at the park is a loop that covers a distance of m miles. Dot biked 2 loops each on Monday and Wednesday and 3 loops on Friday. On Sunday, Dot biked 10 miles. Write an expression in simplest form that represents the total distance that Dot biked this week. 5. GEOMETRY Write an expression in simplest form for the perimeter of the triangle below. 2x + 3 4x - 2 2x 6. SIBLINGS Mala is y years old. Her sister is 4 years older than Mala. Write an expression in simplest form that represents the sum of the ages of the sisters. C Problem-Solving Practice Simplify Algebraic Expressions 179_192_HPC3C11_892764.indd 184 79_192_HPC3C11_892764.indd 184 2/2/10 10:13:37 PM /2/10 10:13:37 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 11 185 Course 3 11-1 Use the solve a simpler problem strategy to solve Exercises 1 and 2. 1. ASSEMBLY A computer company has two locations that assemble computers. One location assembles 13 computers in an hour and the other location assembles 12 computers in an hour. Working together, how long will it take both locations to assemble 80 computers? 2. AREA Determine the area of the shaded region if the radii of the six circles are 1, 2, 3, 4, 5, and 10 centimeters. Round to the nearest tenth if necessary. Use any strategy to solve Exercises 3–6. Some strategies are shown below. PROBLEM-SOLVING STRATEGIES Solve a simpler problem. Look for a pattern. Work backward. Choose an operation. • • • • 3. NUMBER SENSE Find the sum of all the even numbers from 2 to 50, inclusive. 4. ANALYZE TABLES Mr. Brown has $1,050 to spend on computer equipment. Does Mr. Brown have enough money to buy the computer, scanner, and software if a 20% discount is given and the sales tax is 5%? Explain. Item Cost Computer $899 Scanner $54 Software $278 5. COPIER The counter on a business copier read 18,678 at the beginning of the week and read 20,438 at the end of the week. If the business was in operation 40 hours that week, what was the average number of copies made each hour? 6. HUMMINGBIRD In normal flight a hummingbird can flap its wings 75 times each second. At this rate, how many times does a hummingbird flap it wings in a 20-minute flight? Mixed Problem Solving Get Connected Get Connected For more examples, go to glencoe.com. D Homework Practice Problem-Solving Investigation: Solve a Simpler Problem 179_192_HPC3C11_892764.indd 185 79_192_HPC3C11_892764.indd 185 2/2/10 10:13:40 PM /2/10 10:13:40 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 11 186 Course 3 11-1 1. GEOMETRY Alejandro has a large pizza. What is the maximum number of pieces that can be made using 12 cuts? 2. TABLES A picnic area has 21 square tables that can be pushed together to form one long table for a large group. Each square table can seat 4 people per side. How many people can be seated at the combined tables? 3. PACKAGES Postcards come in packages of 12 and stamps come in packages of 20. How many of each type of package will Jessica need to buy in order to send 300 postcards with no stamps or postcards left over? 4. JOBS Larry can stuff 150 envelopes in one hour. Harold can stuff 225 envelopes in one hour. About how long will it take them to stuff 10,000 envelopes? 5. BUILDING Alexy can lay 40 bricks in one hour. Vashawn can lay 30 bricks in one hour. Jesse can lay 20 bricks in one hour. About how long will it them to build a wall that uses 900 bricks? 6. GEOMETRY How many squares of any size are in the figure? For Exercises 1 –6, use the solve a simpler problem strategy. D Problem-Solving Practice Problem-Solving Investigation: Solve a Simpler Problem 179_192_HPC3C11_892764.indd 186 79_192_HPC3C11_892764.indd 186 2/2/10 10:13:45 PM /2/10 10:13:45 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 11 187 Course 3 Solve each equation. Check your solution. 1. 9m + 14 = 2m 2. 13x = 32 + 5x 3. 8d - 25 = 3d 4. t - 27 = 4t 5. 7p - 5 = 6p + 8 6. 11z - 5 = 9z + 7 7. 12 - 5h = h + 6 8. 4 - 7f = f -12 9. -6y + 17 = 3y -10 10. 3x - 32 = -7x + 28 11. 3.2a - 16 = 4a 12. 16.8 - v = 6v Define a variable, write an equation, and solve to find each number. 13. Fourteen less than five times a number is three times the number. 14. Twelve more than seven times a number equals the number less six. Write an equation to find the value of x so that each pair of polygons has the same perimeter. Then solve. 15. Y + Y + Y + Y + Y + 16. Y + Y + Y + Y Y Y Y Y Y Write and solve an equation to solve each exercise. 17. GOLF For an annual membership fee of $500, Mr. Bailey can join a country club that would allow him to play a round of golf for $35. Without the membership, the country club charges $55 for each round of golf. How many rounds of golf would Mr. Bailey have to play for the cost to be the same with and without a membership? 18. MUSIC Marc has 45 CDs in his collection, and Corinna has 61. If Marc buys 4 new CDs each month and Corinna buys 2 new CDs each month, after how many months will Marc and Corinna have the same number of CDs? Get Connected Get Connected For more examples, go to glencoe.com. 11-2 B Homework Practice Solve Equations with Variables on Each Side 179_192_HPC3C11_892764.indd 187 79_192_HPC3C11_892764.indd 187 2/2/10 10:13:49 PM /2/10 10:13:49 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 11 188 Course 3 Write and solve an equation to solve each exercise. 1. PLUMBING A1 Plumbing Service charges $35 per hour plus a $25 travel charge for a service call. Good Guys Plumbing Repair charges $40 per hour for a service call with no travel charge. How long must a service call be for the two companies to charge the same amount? 2. EXERCISE Mike’s Fitness Center charges $30 per month for a membership. All-Day Fitness Club charges $22 per month plus an $80 initiation fee for a membership. After how many months will the total amount paid to the two fitness clubs be the same? 3. SHIPPING The Lone Star Shipping Company charges $14 plus $2 a pound to ship an overnight package. Discount Shipping Company charges $20 plus $1.50 a pound to ship an overnight package. For what weight is the charge the same for the two companies? 4. MONEY Deanna and Lise are playing games at the arcade. Deanna started with $15, and the machine she is playing costs $0.75 per game. Lise started with $13, and her machine costs $0.50 per game. After how many games will the two girls have the same amount of money remaining? 5. MONEY The Wayside Hotel charges its guests $1 plus $0.80 per minute for long distance calls. Across the street, the Blue Sky Hotel charges its guests $2 plus $0.75 per minute for long distance calls. Find the length of a call for which the two hotels charge the same amount. 6. COLLEGE Duke is a part-time student at Horizon Community College. He currently has 22 credits, and he plans to take 6 credits per semester until he is finished. Duke’s friend Kila is also a student at the college. She has 4 credits and plans to take 12 credits per semester. After how many semesters will Duke and Kila have the same number of credits? 11-2 B Problem-Solving Practice Solve Equations with Variables on Each Side 179_192_HPC3C11_892764.indd 188 79_192_HPC3C11_892764.indd 188 2/2/10 10:13:56 PM /2/10 10:13:56 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 11 189 Course 3 Get Connected Get Connected For more examples, go to glencoe.com. Solve each equation. Check your solution. 1. 5(x - 3) + 2x = 41 2. 4a - 3(a - 2) = 2(3a - 2) 3. (7t - 2) - (-3t + 1) = –3(1 – 3t) 4. 14 - 2(3p + 1) = 6(4 + p) 5. 2 − 7 (14q + 7 − 2) - 3q = 9 6. x - (4x - 7) = 5x - (x + 21) 7. BACKPACKING Guido and Raoul each went backpacking in Glacier National Park. The expressions 4(d + 2) – 2d and 3(2 + d) represent the respective distances Guido and Raoul hiked each day. On what day number d will their distance hiking be the same? 8. SAVINGS The table at the right shows the savings Sibling Account Balance Cindy s Petros 2(s + 3) Nila 4s – 5 account balance of each of the Alvarez siblings. a. Write an equation to find the amount of money in Petros’s account if the total of all of their accounts is $148. b. Solve the equation from part a to find the amount of money in Petros’s account. 9. LAWNS Luisa mows lawns during the summer. She charges $15 if she cuts the grass but charges $5 more if she also trims the grass. Last week she trimmed 5 more yards than she cut. If she made $415 last week, how many yards did she trim? 11-2 C Homework Practice Solve Multi-Step Equations 179_192_HPC3C11_892764.indd 189 79_192_HPC3C11_892764.indd 189 2/2/10 10:13:59 PM /2/10 10:13:59 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 11 190 Course 3 1. AGES Mel is 3 years older than Rahfat and Aurelio is twice as old as Mel. The sum of their ages is 57. How old is Mel? 2. SALES Ye has his own business. He checks his sales receipts three times a day. One day, his afternoon sales were $50 more than his morning sales, and his evening sales were three times his afternoon sales. If his total sales for the day were $1,000, what were his evening sales? 3. POLYGONS The triangle and square shown below have the same perimeter. What is the length of one side of the square? x + 2 x + 2 3x 4x 5x 4. PRESENTS Torrance is buying presents for members of his family. He wants to spend $10 less on his brother than he spends on his sister, and six dollars more than twice the amount he spends on his sister on his mother. If Torrance has $100 to spend, how much does he intend to spend on his brother? 5. NUMBERS Pasha is thinking of a number such that when twice the number is added to three times one more than the number she gets the same result as when she multiplies four times one less than the number. What number is Pasha thinking about? 6. SAVINGS Garland put 2b + 3 dollars in the bank in the first week. The following week he doubled the first week’s savings and put that amount in the bank. The next week he doubled what was in the bank and put that amount in the bank. If he now has $477 in the bank, how much did he put in the bank the first week? 7. FOOD Nendell saw the following sign at a diner. If he bought one of each item and spent $7.50, how much did the drink cost? Item Cost ($) Burger 3x + 0.05 Fries x Drink x + 0.10 8. WORK Colby worked three more hours on Tuesday than he did on Monday. On Wednesday, he worked one hour more than twice the number of hours that he worked on Monday. If the total number of hours is two more than five times the number of hours worked on Monday, how many hours did he work on Monday? 11-2 C Problem-Solving Practice Solve Multi-Step Equations 179_192_HPC3C11_892764.indd 190 79_192_HPC3C11_892764.indd 190 2/2/10 10:14:02 PM /2/10 10:14:02 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 11 191 Course 3 Solve each inequality. Graph the solution set on a number line. 1. -3(2b - 1) ≤ 45 2. -1(4 - 2c) > 18 3. 4(3m + 2) < 56 4. 2(3p + 1) ≥ 5(p - 2) 5. -2(n − 3) > -4(-1 - n) 6. 5(1 - 2e) ≤ -11(e - 2) 7. DIVING Fredrico has earned a score of 7.2, 8.4, and 8.4 on his first three dives. He has one dive left. What score must he get on his last dive to have an average of at least 7.4 on all four dives? 8. PERIMETER A square has side lengths of x + 3 inches. If the perimeter of the square is at least 100 inches, what is the minimum length of each side of the square? 9. CARS Neva is renting a motor home to use while she is on vacation. The rental store charges a $200 deposit plus a $90 rental fee per day. If Neva has at most $1,100 to spend on a motor home rental, how many days can she go on vacation? Get Connected Get Connected For more examples, go to glencoe.com. 11-2 D Homework Practice Solve Multi-Step Inequalities 179_192_HPC3C11_892764.indd 191 79_192_HPC3C11_892764.indd 191 2/2/10 10:14:07 PM /2/10 10:14:07 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 11 192 Course 3 1. BOWLING Hardy and his brother Ralph went bowling. Ralph’s average score for his three games is 110. Hardy scored 101 and 113 in his first two games. If Hardy wants his average score for three games to be greater than his brother’s average, what is the least score for the third game? 2. LOANS Carmen borrowed money from her sister. Each month she makes four payments, with an average payment of no more than $200. This month she has already paid her sister $225, $245, and $235. What is the maximum amount she can pay for the fourth payment? 3. BUDGET Kjel has budgeted no more than $55 a week for lunches. The table shows how much he spent for lunch on four of five days last week. If Kjel stayed within his budget, what is the maximum cost for lunch on Wednesday? Day Lunch ($) Monday $12.00 Tuesday $10.50 Wednesday ? Thursday $11.25 Friday $10.00 4. GROCERIES Lila wants to spend no more than $22 at the grocery store. The receipt below shows what Lila bought and what each item cost. The price of the last item is missing. What is the maximum cost of the pizza? 5. RENTALS Breana is renting skis. The rental store charges $30 plus $9 for each hour or partial hour. If she has $92 dollars to spend, how many hours can she rent the skis? 6. BASEBALL Jacob plays on his high school baseball team. Jacob got 42, 53, and 47 hits for the first three seasons. If Jacob wants to average at least 50 hits per season over his high school career, what is the minimum number of hits he needs to fulfill his goal? Sales Recepit Bread $2.79 Roast $9.11 Coffee $6.50 Pizza 11-2 D Problem-Solving Practice Solve Multi-Step Inequalities 179_192_HPC3C11_892764.indd 192 79_192_HPC3C11_892764.indd 192 2/2/10 10:14:16 PM /2/10 10:14:16 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 12 193 Course 3 12-1 Graph each function. 1. y = x2 2. y = -x2 3. y = x2 + 3 x y O O x y x y O 4. y = -x2 + 3 5. y = x2 - 5 6. y = 3x2 - 4 x y O x y O x y O 7. y = -2x2 - 3 8. y = 6x2 9. y = -3x2 - 2 y 0 x y 0 x y 0 x 10. BALL The function h = -16t2 + 25t + 5 can be used h t 0 2 4 6 8 10 12 14 16 2 4 6 8 10 12 14 16 Height (ft) Time (s) to represent the height h in feet of a juggler’s ball after t seconds of being tossed in the air by a juggler 5 feet tall. Graph the function. Use your graph to estimate the height of a juggler’s ball that has been in the air for 1.5 seconds. Get Connected Get Connected For more examples, go to glencoe.com. A Homework Practice Graph Quadratic Functions 193_212_HPC3C12_892764.indd 193 93_212_HPC3C12_892764.indd 193 2/2/10 10:14:48 PM /2/10 10:14:48 PM
NAME ________________________________________ DATE _____________ PERIOD _____ 1st pass Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 12 194 Course 3 12-1 1. Graph the equation. Explain why you only need to graph the function in the upper right quadrant. A x 0 12345 10 20 30 40 50 2. Explain how to find the area of the triangle when x = 3 inches. Then find the area. 3. Explain how to use your graph to determine the value of x when the area is 24 square inches. Then find the base and height of the triangle when its area is 24 square inches. 4. PHYSICS The quadratic equation K = 500s2 models the kinetic energy in joules of a 1,000-kilogram car moving at a speed of s meters per second. Graph this function. Then use your graph to estimate the kinetic energy at a speed of 8 meters per second. K s 0 2 4 6 8 10 10,000 20,000 30,000 40,000 50,000 Kinetic Energy (joules) Speed (m/s) 5. CARS The quadratic equation d = s2 − 20 models the stopping distance in feet of a car moving at a speed of s feet per second. Graph this function. Then use your graph to estimate the stopping distance at a speed of 40 feet per second. 6. BUSINESS The quadratic equation p = 50 + 2r2 models the gross profit made by a factory that produces r ovens. Graph this function. Then use your graph to estimate the profit for 5 ovens. GEOMETRY For Exercises 1–3, use the following information. The quadratic equation A = 6x2 models the area of a triangle with base 3x and height 4x. P r 0 2 4 6 8 10 50 100 150 200 250 Profit (dollars) Number of Ovens d s 0 10 20 30 40 50 25 50 75 100 125 Stopping Distance (feet) Speed (ft/s) A Problem-Solving Practice Graph Quadratic Functions 193_212_HPC3C12_892764.indd 194 93_212_HPC3C12_892764.indd 194 2/2/10 10:15:03 PM /2/10 10:15:03 PM