Name Period Date 6th grade Preap Math Test Review on Chapter Lessons,, 3, 4, 5, 6, 7 and 8. This is just a sample of what is on the test. Any skills which we have done this year, may be on test. Review is due Thursday,October 6. Test is Monday, October 0, 04. All work should be shown and attached if on a separate sheet of paper. Highlight your final answer! annex Commutative Property denominator fraction greatest common factor improper fraction mixed number numerator reciprocal simplest form Choose from the terms above to complete each sentence.. A number that represents part of a whole or part of a set is called a(n).. When dividing fractions, it is most helpful to change a mixed number into a(n) 3. The of a fraction is the part that tells how many units the fraction contains. 4. The states that the order in which numbers are multiplied does not change the product. 5. A(n) is made up of a whole number and a fraction. o,. 6. In ÿ, 5 is the 7. The of is -. 6.. Define each term in your own words. 8. greatest common factor 9. simplest form 0. annex
Lesson Problem-Solving Practice Multiply Decimals by Decimals. Colin is making soap for gifts. The table shows the cost of the scented oils needed to make each kind of soap. He needs.5 ounces of scented oil to make a batch of soap. If he wants to make batches of lavender soap and batches of vanilla soap, how much money will he need for the oils?. Iona's favorite peaches are $.50 per pound at the local farmers' market. She bought 3.5 pounds of the peaches. How much did she spend? : Oil. - Cost almond lavender vanilla melon $.3 per ounce $.54 per ounce $.65 per ounce $. per ounce 3. Jennifer is buying new school clothes. The items she wants to buy add up to $3.50 before sales tax. Sales tax is calculated by multiplying the total amount by 0.08. What is the amount of sales tax for the items? 4. Ana bought a van that holds 0.75 gallons of gas and gets an average of 5.5 miles per gallon. How many miles can she expect to go on a full tank? 5. Ishi makes $8.50 an hour rolling sushi at a restaurant. His paycheck shows that he worked 0.88 hours over the past two weeks. How much did Ishi make before taxes? 6. Manny is on vacation in France. He has rented a car to drive 33.3 kilometers from Paris to Brussels and wants to figure out the distance in miles. Since kilometer is equal to about 0.6 mile, he needs to multiply the total kilometers by 0.6. About how many miles will Manny drive? Course Chapter Multiply and Divide Rational Numbers
Lesson Problem-Solving Practice Divide Decimals by Decimals For Exercises and, use the table that shows course records for the Boston Marathon. Course Records for the Boston Marathon Division Record Holder Year Time (h) Men's Open Geoffrey Mutai 0.050 Women's Open Margaret Okayo 00.345 Men's Wheelchair Joshua Cassidy 0.307 Women's Wheelchair Wakaka Tsuchida 0.568. The Boston Marathon is 6. miles. Use the times shown in the table to calculate the miles per hour for each division winner. Round to the nearest thousandth.. To the nearest hundredth, how many times as great was the men's open time as the women's wheelchair time? 3. The Martinez family drove 48.7 miles to the river. It took them. hours to get there. How fast did they drive? Round to the nearest whole number. 4. Nikki is buying some refrigerator magnets for her friends. Her total bill is $6.80. If magnets are $0.80 each, how many magnets is she buying? 5. Matt is making a scale model of a building. The model is 3.4 feet tall. The actual building is 4.48 feet tall. How many times as great is the actual building as the model? 6. Yori has 4.5 cups of cupcake batter. If each cupcake uses 0.75 cup of batter, how many cupcakes can Yori make? Course. Chapter Multiply and Divide Rational Numbers
Lesson 4 Problem-Solving Practice Multiply Fractions For Exercises and, use the recipe for chocolate frosting. cup butter Chocolate Frosting Recipe ounces melted unsweetened chocolate cups powdered sugar teaspoon vanilla tablespoons milk. Georgia wants to cut the recipe for chocolate fiosting in half for a small cake that she is making. How much of each ingredient will she need?. Suppose Georgia wanted to double the recipe; what would be the measurements for each ingredient? 3. One-fifth of today's college students began using computers between the ages of 5 and 8. If a college has 3,500 students, how many of the students began using computers between the ages of 5 and 8? 4. A paper published in a medical journal reported that about of girls ages 6 to 7 do not exercise at all. 5 The entire study consisted of about,500 girls. About how many did not exercise? a mile every day. How far does 5. Catherine walks her dog 7 she walk each week? 6. If you practice a musical instrument each day for ÿ of an hour, how many hours of practice will you get in each week? Course. Chapter Multiply and Divide Rational Numbers
Lesson 6 Problem-Solving Practice Divide Fractions For Exercises -3, use the table. The table represents the distances from Nashita's vacation house to the various shops in town. Distance in Miles Sam's Surfboards 3_ 4 Mick's Riverside Tours s Pete's Parasailing _3 5 Beachside Clothiers _z 7. Nashita walks to Sam's Surfboards. As she walks, she stops every ) mile to take a sip from her water bottle. How many times does she stop?. On Tuesday, Nashita walks to Pete's Parasailing. She feels a breeze every ÿ of a mile. How many times does she feel a breeze? 3. Nashita walked to Mick's Riverside Tours. She noticed a that the sun went behind a cloud about every ÿ of a mile. During her walk, how many times did the sun go behind the clouds? pint of mint chocolate chip ice cream. 4. Brenda ate Mark ate ÿ pint of malt ice cream. How many times more ice cream did Mark eat? 3. 5. In a --mile relay race, each runner runs -- mile. How 4 6 many runners are in the race? 6. Three fourths of college students use the Internet more than the library. Nine hundredths use the library more. How many times more students use the Internet? Course. Chapter Multiply and Divide Rational Numbers
Lesson 7 Problem-Solving Practice Multiply and Divide Mixed Numbers For Exercises -3, use the table. The table shows Keith's food options for a 7-day outdoor survival course. Food Options for 7-Day Outdoor Survival Course Peanut butter Dried noodles/rice Dried fruit/nuts Concentrated juice boxes Beef jerky Powdered milk Dehydrated soup Canned tuna/meat plastic jar = 4-3 cups 4; cups 6- cups 6 8 boxes = 6! cups 4 3-a cups a box = 8.4 cups s 5 packages = 5ÿ cups 4 cans = 53-- cups 5. Keith plans on eating - cups of tuna per day for five 4 days. How much tuna does he need? Is 4 cans enough?. Keith would like to bring enough concentrated juice in order to have ÿ- cups available per day. How much juice does he need and is 8 boxes of concentrated juice enough? 3. Six other students have been advised to bring the same menu on the course. How many cups of dried fi'uits and nuts will the students be bringing all together? 4. Lyle is putting his videotapes on a shelf. The shelf is inches long. If each videotape Is - inches wide, how many videotapes can he put side-by-side on the shelf? 5. While free-diving in the ocean, Tanya Streeter once set a record by diving 55 feet in 3! minutes. How many feet per minute did she dive? 6. Pauline got 9; pounds of cherries from her tree this year. Last year she only got 6¼ pounds. How many times more pounds did she get this year than last year? Course. Chapter Multiply and Divide Rational Numbers
Lesson 8 Problem-Solving Practice Mixed Problem Solving with Rational Numbers. Amy practiced saxophone times during 3 the week for X hour and then oll Saturday for ÿ hours. How many hours during the week did she practice?. Kyle needs to build a fence around his square-shaped backyard. Each side of the yard measures 90ÿ feet. The materials for the fence cost $8.99 per foot. How much will it cost for Kyle to build a fence around three sides of his backyard? 3. To support the drywall in a house, load- bearing walls require a stud every 7 feet. One load-bearing wall in a new house is 8 feet long and another is 6.7 feet long. How many studs are in those walls? 4. The tiles shown below will be used to cover a floor with area 0.5 square feet. How many tiles will be needed to cover the floor? 4ÿin. ½in. 5. Marcellus can run ÿ of a mile in minutes and 30 seconds. At that pace, how long would it take Marcellus to run a 5-kilometer race (3. miles)? o Judy is baking 5 cheesecakes. A recipe for one of the cheesecakes requires! teaspoons of vanilla. Judy's bottle of vanilla contains teaspoons of vanilla. After Judy bakes the 5 cheesecakes, how many teaspoons of vanilla will be left in the bottle? Course * Chapter Multiplying and Dividing Rational Numbers