Unit Rates and Conversions
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1 I. Converting Within Systems A. Complete each customary measurement conversion. 1. There are 4 quarts in 1 gallon. How many quarts are in 4 gallons? 2. There are 16 ounces in 1 pound. How many pounds are in 48 ounces? 3. There are 12 inches in 1 foot. How many feet are in 174 inches? 4. There are 3 feet in 1 yard. How many yards are in 12 feet? 5. There are 5280 feet in 1 mile. How many feet are in 3.5 miles? 6. There are 2000 pounds in 1 ton. How many tons is 7500 pounds? B. Complete each metric measurement conversion. 1. There are 10 meters in 1 dekameter. How many meters are in 5 dekameters? 2. There are 100 dekameters in 1 kilometer. How many dekameters are in 8.5 kilometers? 3. There are 10 centimeters in 1 decimeter. How many decimeters are in 37 centimeters? 4. There are 100 meters in 1 hectometer. How many hectometers are in 201 meters? : Skills Practice 49
2 PAGE There are 1000 milligrams in 1 gram. How many grams is 25 milligrams? 6. There are 1000 millimeters in 1 meter. How many meters are in 350 millimeters? C. Multiply by a unit rate to determine each measurement conversion using unit analysis. 1. How many feet are in 3 miles? 2. How many pounds are in 5 tons? 3. How many fluid ounces are in 8 cups? 4. How many yards are in 504 inches? 5. How many pounds are in 480 ounces? 6. How many gallons are in 200 quarts? 7. How many ounces are in 1 ton? 8. How many yards are in 2 miles? 9. How many inches are in 1 mile? 10. How many fluid ounces are in 2 pints? 11. How many pints are in 3 gallons? 12. How many fluid ounces are in 4 quarts? 50 Module 2: Relating Quantities
3 Percents PAGE 51 II. Converting Between Systems A. Use the table to complete each measurement conversion. Length Mass Capacity 1 ft cm 1 lb kg 1 ml fl oz 1 mi km 1 kg lb 1 pt L 1 km mi 1 kg oz 1 L gal 1 m in. 1 in m 1 m yd 1. How many inches are in 32 centimeters? 2. How many feet are in 26 meters? 3. How many kilometers are in 57 yards? 4. How many ounces are in 26 grams? 5. How many liters are in 19 quarts? 6. How many grams are in 5 pounds? 7. How many cups are in 40 liters? 8. How many gallons are in 800 milliliters? : Skills Practice 51
4 PAGE 52 B. Use the table and scale up or down to calculate each measurement conversion. Round your answer to the nearest hundredth, if necessary. 1. Rosa drove 175 miles to visit her grandparents. How many kilometers did she travel? 2. Franco weighs 165 pounds. What is his mass in kilograms? 3. Ronna is making dinner for her family. The recipe she is using calls for 0.5 kilogram of ground chicken. How many pounds of ground chicken does she need? 4. Hector needs to refill his lawn mower gas tank. The tank holds 4.2 liters of gas. How many gallons of gas does the tank hold? 5. Lee is going to compete in a 5000 meter Race Walk. How long is the race in yards? 6. Lavon s favorite basketball player is 2.1 meters tall. How tall is Lavon s favorite basketball player in feet? III. Fractional Rates A. A common error in advertising occurs when announcing prices less than $1.00. Read the scenario and then answer each question. 1. Sue s Stop-n-Shop advertises that 12-ounce sodas are 0.99 cents each and programs this price into her cash registers. Using the advertised price, determine the income generated by selling 500 sodas. 2. Wesley s Wings and More advertises a wing special on Monday nights. The advertisement states that wings are 0.25 cents each. Elias and his two friends each ordered 20 wings. Using the advertised price, determine how much Elias and his two friends should pay. 52 Module 2: Relating Quantities
5 Percents PAGE A cell phone company advertises that their data plan costs 0.02 cents for every kilobyte of data. Corinne used 1000 kilobytes of data. Using the advertised price, determine how much Corinne owes on the data plan. 4. A carnival game advertises 0.50 cents for a ring toss. Sarah wants to toss the ring 12 times. Using the advertised price, determine how much Sarah should pay for her ring tosses. 5. At a yard sale, Enzo sees a sign that advertises 0.05 cents per used book. Using the advertised price, determine the cost of 40 used books. 6. School Supplies R Us is having a backto-school sale and advertises in the local paper that pencils are 0.88 cents a pack. Using the advertised price, determine the income generated by selling 200 packs of pencils. IV. Comparing Rates A. Solve each problem by determining and then comparing the rates in each situation. 1. Kordell is able to complete 14 math problems in 21 minutes. Gabriel is able to complete 6 math problems in 10 minutes. Determine how many problems each student can complete per minute. Who can complete problems more quickly? 2. Bashir drove 64 miles and used 2 gallons of gas. Rebecca drove 36 miles and used 1 gallon of gas. Determine how many miles each person drove per 1 gallon of gas. Who drove more fuel-efficiently? : Skills Practice 53
6 PAGE Pia s home computer downloads a 3-megabyte program in 10 seconds. Estelle s home computer takes 42 seconds to download a 10-megabyte program. Determine how many megabytes each computer downloads per second. Whose computer downloads faster? 4. Howard went fishing and caught 28 fish in 7 hours. Santo went fishing for 9 hours and caught 27 fish. Determine how many fish each person caught per hour. Who caught fish more quickly? 5. Lydia travels for 81 minutes to visit a friend who lives 6 miles away. Tonya travels 5 miles to visit a friend. It takes 81 minutes to get there. Determine how many miles each person travels in one minute. Who travels more rapidly? 6. Margarita baked 49 cookies in 4 hours. Edward was baking for 5 hours and made 63 cookies. Determine how many cookies each person baked per hour. Who baked cookies faster? 7. Chelsea and Justin have a reading assignment for English class. Chelsea takes 54 minutes to read 27 pages. Justin takes 16 minutes to read 8 pages. Determine how many pages each student can read per minute. Who can read more quickly? 8. Darius biked for 2 hours and traveled 21 miles. Kala biked 42 miles in 5 hours. Determine how many miles each person biked in one hour. Who biked more quickly? 9. During the basketball season, Terrell scored a total of 54 points in 9 games. Marvin scored a total of 45 points in 6 games. Determine how many points each player scored per game. Which player scored more points per games? 10. Alvin is able to complete 6 math problems in 15 minutes. Fernando takes 49 minutes to complete 14 math problems. Determine how many problems each student can complete per minute. Who can complete problems more quickly? 54 Module 2: Relating Quantities
7 Percents PAGE Vivian drove 84 miles and used 7 gallons of gas. Pauline used 3 gallons of gas to drive 45 miles. Determine how many miles each person drove per 1 gallon of gas. Who drove more fuel-efficiently? 12. Emily went fishing and caught 36 fish in 5 hours. Juan went fishing for 8 hours and caught 48 fish. Determine how many fish each person caught per hour. Who caught fish more quickly? : Skills Practice 55
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8.1 Volumes of Cylinders How can you find the volume of a cylinder? 1 ACTIVITY: Finding a Formula Experimentally Work with a partner. a. Find the area of the face of a coin. b. Find the volume of a stack
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Decimals and Volume. Topic 3. I. Converting Fractions to Decimals. A. Convert each fraction to a decimal
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Class: Date: Fall 2014 Academic Semester Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. The numbers in each set shown below have a common characteristic.
month. Altogether she drove 2,376 miles. How far is it from Chicago to St. Louis?
5-1 Homework Name Date Complete each division. Check your answer. 1 5 4,820 2 8 7,548 3 9 7,535 4 3 2,958 5 7 5,857 6 6 5,556 7 7 6,945 8 8 5,624 9 4 3,254 Use estimation to check the solution. 10 Mrs.
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Name: Weekly Math Homework - Q1:1 Teacher: Monday Tuesday Wednesday Thursday Use Order of Operations to simplify. Use Order of Operations to simplify. Use Order of Operations to simplify. Use Order of
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