Transcription
Holt McDougalMathematicsGrade 6Homework and PracticeWorkbook
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ContentsOperations and PropertiesIntroduction to AlgebraDecimalsNumber Theory and FractionsFraction OperationsData Collection and AnalysisProportional RelationshipsMeasurement and GeometryIntegers and the Coordinate Plane Houghton Mifflin Harcourt Publishing CompanyFunctions
Name Date ClassLESSON1Operations and PropertiesPractice B: Estimating with Whole NumbersEstimate each sum or difference by rounding to the greatestplace value.1. 67 144. 2,856 2,2077. 34,465 19,0022. 583 3295. 276 3168. 78,135 – 19,4313. 94 – 366. 6,020 3,6889. 216,135 165,800Estimate each product or quotient.10. 59 613. 9 2716. 147 511. 51 812. 83 414. 49 615. 53 817. 118 618. 79 5 Houghton Mifflin Harcourt Publishing Company19. Sailfish are the fastest fish in the world. They can swim 68 milesan hour. About how far can a sailfish swim in 3 hours?20. At a height of 3,281 feet, Angel Falls in Venezuela is the tallestwaterfall in the world. Niagara Falls in the United States is only190 feet tall. About how much taller is Angel Falls?21. Ali, a gardener, is preparing to fertilize a lawn. The lawn is 30yards by 25 yards. One bag of fertilizer will cover an area of 100square yards. How many bags of fertilizer does Ali need to buy?1Holt McDougal Mathematics
Name Date ClassLESSON2Operations and PropertiesPractice B: Divide Multi-Digit Whole NumbersWrite the correct answer.1. A scientist has 1,050 samples to observe. She has 14 assistants for thejob. If she splits the samples evenly among the assistants, how manysamples will each assistant observe?2. At the outdoor stadium, 15 summer concerts were completely sold out. Atotal of 9,375 people attended the concerts. How many people, onaverage, attended each concert?3. Jerry has 25 weeks left to save 2,320 for a trip. If he saves an equalamount each week, how much money does he save each week to meethis goal?4. The managers at an electronics store want to sell all 1,536 computers inthe store’s warehouse in 48 days. How many computers do the staff needto sell each day to meet the goal?5. The Appalachian Trail is about 2,175 miles long. If Sharon hikes 12 mileseach day, how many days will it take her to hike the Appalachian Trail?6. The art teacher bought 3,200 pounds of clay. He has 84 students. Hewants to divide the clay evenly so each student gets the same amount ofclay. How many pounds will each student get?Find each quotient.7. 1,334 2911. 11,023 458. 7,890 529. 2,902 1812. 15,812 4013. 20,884 92210. 8,765 8814. 34,680 64Holt McDougal Mathematics Houghton Mifflin Harcourt Publishing Company
Name Date ClassLESSON3Operations and PropertiesPractice B: ExponentsWrite each expression in exponential form.1. 9 92. 7 7 73. 1 1 1 1 14. 5 5 5 55. 2 2 2 2 2 26. 10 10 10 10Find each value.7. 62511. 28. 539. 10310. 72412. 313. 25114. 160Compare. Write , , or .15. 80 7116. 102 11217. 82 4318. 34 5219. 25 9220. 62 3321. What whole number equals 25 when it is squared and 125 whenit is cubed? Houghton Mifflin Harcourt Publishing Company22. Use exponents to write the number 81 three different ways.3Holt McDougal Mathematics
Name Date ClassLESSON4Operations and PropertiesPractice B: Order of OperationsSimplify each expression.1. 10 6 224. (4 6) 1127. 5 18 3 12. (15 39) 65. 9 (7 –1) 28. 8 5 10 123. (20 15) 2 16. (2 4) 8 (5 3)9. 14 (50 72) 3Add parentheses so that each equation is correct.10. 7 9 3 1 2513. 12 3 2 216. 9 0 5 3 4211. 23 7 4 414. 8 3 6 4 1 132317. 15 3 2 1512. 5 6 9 3 2315. 4 32 1 4018. 14 2 5 5 1020. Paulo’s father bought 8 pizzas and 12 bottles of juice for theclass party. Each pizza cost 9 and each bottle of juice cost 2.Paulo’s father paid with a 100-bill. How much change did he getback?4Holt McDougal Mathematics Houghton Mifflin Harcourt Publishing Company19. Tyler walked 2 miles a day for the first week of his exercise plan.Then he walked 3 miles a day for the next 9 days. How manymiles did Tyler walk in all?
Name Date ClassLESSON5Operations and PropertiesPractice B: Properties and Mental MathSimplify.1. 17 4 52. 25 3 44. 12 7 8 133. 28 39 11 225. 10 3 27. 97 4 3 266. 9 8 58. 2 6 59. 28 2 6Use the Distributive Property to find each product.10. 4 1614. 5 2918. 8 4411. 8 3112. 3 6213. 2 4615. 7 2216. 9 2117. 6 1519. 4 2920. 7 3121. 5 57 Houghton Mifflin Harcourt Publishing Company22. Each ticket to a play costs 27. How much will it cost to buy4 tickets? Which property did you use to solve this problemwith mental math?23. Mr. Stanley bought two cases of pencils. Each case has 20boxes. In each box there is 10 pencils. Use mental math to findhow many pencils Mr. Stanley bought.24. When you consider that cows eat grass and the water needed togrow the grass that cows eat, it takes 65 gallons of water toproduce one serving of milk! Use mental math to find how manygallons of water are needed to produce 5 servings of milk.5Holt McDougal Mathematics
Name Date ClassLESSONX1Introduction to AlgebraPractice B: Variables and ExpressionsEvaluate each expression to find the missing values in the tables.1.n792235n 82712.n20518925 n53.n891112n 7564.n264824 n125.n3552085n 156.n741013n 236Holt McDougal Mathematics Houghton Mifflin Harcourt Publishing Company8. Shawn evaluated the algebraicexpression x 4 for x 12 and gavean answer of 8. What was his error?What is the correct answer?7. A car is traveling at a speed of 55miles per hour. You want to write analgebraic expression to show how farthe car will travel in a certain numberof hours. What will be your constant?your variable?
Name Date ClassLESSONX2Introduction to AlgebraPractice B: Translating Between Words and Math1. Terry’s essay has 9 more pages than Stacey’s essay. If srepresents the number of pages in Stacey’s essay, write anexpression for the number of pages in Terry’s essay.2. Let z represent the number of students in a class. Write anexpression for the number of students in 3 equal groups.Write each phrase as a numerical or algebraic expression.3. 24 multiplied by 34. n multiplied by 145. w added to 646. the difference of 58 and 6 7. m subtracted from 1008. the sum of 180 and 259. the product of 35 and x10. the quotient of 63 and 911. 28 divided by pWrite two phrases for each expression.12. n 91 Houghton Mifflin Harcourt Publishing Company13. 35 r14. 20 s15. Charles is 3 years older than Paul.If y represents Paul’s age, whatexpression represents Charles’s age?16. Maya bought some pizzas for 12each. If p represents the number ofpizzas she bought, what expressionshows the total amount she spent?7Holt McDougal Mathematics
Name Date ClassLESSON3Introduction to AlgebraPractice B: Translating Between Tables and ExpressionsWrite an expression for the missing value in each table.1.Bicycles123bWheels2462.Ryan’s Age141618rMia’s s212835Write an expression for the sequence in each table.6.Position12345Value of Term34567Position12345Value of Term59131721Width (in.)66667. A rectangle has a width of 6 inches.The table shows the area of therectangle for different widths. Writean expression that can be used tofind the area of the rectangle whenits length is l inches.8nnLength (in.)81012lArea (in.2)486072Holt McDougal Mathematics Houghton Mifflin Harcourt Publishing Company5.
Name Date ClassLESSON4Introduction to AlgebraPractice B: Equations and Their SolutionsDetermine whether the given value of the variable is a solution.1. 9 x 21 for x 112. n 12 5 for n 173. 25 r 75 for r 34. 72 q 8 for q 95. 28 c 43 for c 15k7. 4 for k 2486. u 11 10 for u 1118. 16x 48 for x 39. 73 f 29 for f 5410. 67 j 25 for j 4211. 39 v 13 for v 312. 88 d 100 for d 213. 14p 20 for p 514. 6w 30 for w 515. 7 x 70 for x 1016. 6 n 174 for n 29 Houghton Mifflin Harcourt Publishing Company? with a number that makes the equation correct.Replace each ?17. 5 1 2 ? 12 718. 10 ? 3 2 919. ?20. 28 4 14 ? 8 6 321. ? 1522. 12 0 23. Carla had 15. After she boughtlunch, she had 8 left. Write anequation using the variable x tomodel this situation. What doesyour variable represent?24. Seventy-two people signed up for thesoccer league. After the players wereevenly divided into teams, there were6 teams in the league. Write anequation to model this situation usingthe variable x.9Holt McDougal Mathematics
Name Date ClassLESSON5Introduction to AlgebraPractice B: Addition EquationsSolve each equation. Check your answers.1. s 3 232. v 10 493. q 9 164. 81 m 905. 38 x 446. 28 n 657. t 31 508. 25 p 399. 19 v 24Solve each equation. Check your answers.13. 47 p 5516. q 12 1911. r 14 2012. 25 x 3214. 19 d 2715. 13 n 2617. 34 f 4318. 52 w 6819. Kenya bought 28 beads, and Nancybought 25 beads. It takes 35 beadsto make a necklace. Write and solvetwo addition equations to find howmany more beads they each need tomake a necklace.20. During a sales trip, Mr. Jones drove15 miles east from Brownsville toCarlton. Then he drove several moremiles east from Carlton to Sun City.The distance from Brownsville to SunCity is 35 miles. Write and solve anaddition equation to find how manymiles it is from Carlton to Sun City.10Holt McDougal Mathematics Houghton Mifflin Harcourt Publishing Company10. m 8 17
Name Date ClassLESSON6Introduction to AlgebraPractice B: Subtraction EquationsSolve each equation. Check your answers.1. s 8 122. v 11 73. 9 q 54. m 21 55. 34 x 126. n 45 457. t 19 98. p 6 279. 15 v 68Solve each equation. Check your answers.10. 7 m 513. 40 p 11 Houghton Mifflin Harcourt Publishing Company16. q 85 811. r 10 2212. 16 x 414. 28 d 615. n 9 4217. f 13 1818. 47 w 3819. Ted took 17 pictures at the aquarium.He now has 7 pictures left on theroll. Write and solve a subtractionequation to find out how many photosTed had when he went to theaquarium.20. Ted bought a dolphin poster for 12.He now has 5. Write and solvea subtraction equation to find outhow much money Ted took to theaquarium.11Holt McDougal Mathematics
Name Date ClassLESSON7Introduction to AlgebraPractice B: Multiplication EquationsSolve each equation. Check your answers.1. 8s 722. 4v 283. 27 9q4. 12m 605. 48 6x6. 7n 637. 10t 1308. 15p 4509. 84 6vSolve each equation. Check your answers.13. 36 4p16. 12q 14411. 20r 8012. 64 8x14. 147 7d15. 11n 11017. 25f 12518. 128 16w19. A hot-air balloon flew at 10 miles perhour. Using the variable h, write andsolve a multiplication equation to findhow many hours the balloon traveledif it covered a distance of 70 miles.20. A passenger helicopter can travel300 miles in the same time it takes ahot-air balloon to travel 20 miles.Using the variable s, write and solvea multiplication equation to find howmany times faster the helicopter cantravel than the hot air balloon.12Holt McDougal Mathematics Houghton Mifflin Harcourt Publishing Company10. 49 7m
Name Date ClassIntroduction to AlgebraLESSON8Practice B: Division EquationsSolve each equation. Check your answers.1.s 762.4.m 162t 11113. 12 5. 26 7.v 95x36.8.p 107q7n 489. 7 v8Solve each equation. Check your answers.10. 10 m911.13. 9 p12 Houghton Mifflin Harcourt Publishing Companyq 134212. 11 14. 15 16.r 85d517.15.u 116n 28418. 2 x7w2519. All the seats in the theater are dividedinto 6 groups. There are 35 seats ineach group. Using the variable s,write and solve a division equationto find how many seats there are inthe theater.20. There are 16 ounces in one pound.A box of nails weighs 4 pounds. Usingthe variable w, write and solve adivision equation to find how manyounces the box weighs.13Holt McDougal Mathematics
Name Date ClassLESSON1DecimalsPractice B: Representing, Comparing, and Ordering DecimalsWrite each decimal in standard form, expanded form, and words.1. 2.072. 5 0.0073. four and six tenths4. sixteen and five tenths5. 9 0.6 0.086. 1.0377. 2 0.1 0.0038. eighteen hundredths9. 6.11Order the decimals from least to greatest.11. 0.0943, 0.9403, 0.904310. 3.578, 3.758, 3.87513. 1.09, 1.901, 1.9, 1.1914. Your seventh and eighth ribs are twoof the longest bones in your body. Theaverage seventh rib is nine and fortyfive hundredths inches long, and theaverage eighth rib is 9.06 inches long.Which bone is longer?15. The average female human heartweighs nine and three tenths ounces,while the average male heart weighseleven and one tenth ounces. Whichhuman heart weighs less, the male orthe female?16. The state has 42.3 million for a newtheater. The theater that an architectdesigned would cost 42.25 million.Can the theater be built for theamount the state can pay?17. Lyn traveled 79.47 miles on Saturday,54.28 miles on Sunday, 65.5 miles onMonday, and 98.43 miles on Tuesday.Which day did she travel the greatestnumber of miles?14Holt McDougal Mathematics Houghton Mifflin Harcourt Publishing Company12. 12.97, 12.957, 12.75
Name Date ClassLESSON2DecimalsPractice B: Estimating DecimalsEstimate by rounding to the indicated place value.1. 7.462 1.809; tenths2. 15.3614 2.0573; hundredths3. 56.4059 4.837; ones4. 0.60871 1.2103; hundredthsEstimate each product or quotient.5. 42.1 5.976. 11.8 6.1258. 7.539 3.06427. 63.78 8.2049. 80.794 8.6110. 19.801 2.78Estimate a range for each sum.11. 6.8 4.3 5.612. 12.63 9.86 20.30 Houghton Mifflin Harcourt Publishing Company13. Two sixth-grade classes are collecting money to buy a presentfor one of their teachers. One class collected 24.68 and theother class collected 30.25. About how much money did theycollect in all? The gift they want to buy costs 69.75. About howmuch more money do they need?14. On the highway, Anita drove an average speed of 60.2 miles perhour. At that speed, about how far can she travel in three and ahalf hours? At that same speed, about how many hours will ittake Anita to drive 400 miles?15Holt McDougal Mathematics
Name Date ClassLESSON3DecimalsPractice B: Adding and Subtracting DecimalsFind each sum or difference.1. 8.9 2.42. 12.7 9.64. 7.21 11.63. 18.35 4.165. 0.975 3.86. 20.66 9.17. Tiffany’s job requires a lot of driving. How many miles did shetravel during the month of February?Miles Tiffany TraveledWeekMiles1210.052195.183150.254165.308. Shelly baby-sits after school and on the weekends. How muchdid she earn in all for the month of April?Shelly’s Earnings for AprilWeekEarnings1 120.502 180.753 205.254 215.509. a 3.712. a 1.4210. a 0.511. a 2.813. a 0.1614. a 3.7515. Allen bought a box of envelopes for 2.79 and a pack of paper for 4.50.He paid with a 10 bill. How muchchange should he receive?16. From a bolt of cloth measuring 25.60yards, Tina cut a 6.8-yard piece andan 11.9-yard piece. How muchmaterial is left on the bolt?16Holt McDougal Mathematics Houghton Mifflin Harcourt Publishing CompanyEvaluate 5.6 – a for each value of a.
Name Date ClassLESSON4DecimalsPractice B: Multiplying DecimalsFind each product.1.0.7 0.32.4.3.5 0.25.12.1 0.018. 2.15 1.59.0 0.99. 1.73 0.811. 3.96 0.48.0 0.026.10. 6.017 2.03.7. 0.04 0.580.05 0.412. 0.7 0.009Evaluate 8x for each value of x.13. x 0.516. x 3.12 Houghton Mifflin Harcourt Publishing Company14. x 2.315. x 0.7417. x 0.58718. x 14.0819. The average mail carrier walks4.8 kilometers in a workday. How fardo most mail carriers walk in a 6-dayweek? There are 27 working days inJuly, so how far will a mail carrierwalk in July?20. A deli charges 3.45 for a poundof turkey. If Tim wants to purchase2.4 pounds, how much will it cost?17Holt McDougal Mathematics
Name Date ClassLESSON5DecimalsPractice B: Dividing Decimals by Whole NumbersFind each quotient.1. 0.81 94. 13.6 87. 15.57 910. 0.0025 52. 1.84 43. 7.2 65. 4.55 56. 29.6 88. 0.144 129. 97.5 311. 2.84 812. 18.9 3Evaluate 2.094 x for each given value of x.16. x 2014. x 415. x 1217. x 1518. x 3019. There are three grizzly bears in thecity zoo. Yogi weighs 400.5 pounds,Winnie weighs 560.35 pounds, andNyla weighs 618.29 pounds. What isthe average weight of the threebears?20. The bill for dinner came to 75.48.The four friends decided to leave a 15.00 tip. If they shared the billequally, how much will they each pay?18Holt McDougal Mathematics Houghton Mifflin Harcourt Publishing Company13. x 2
Name Date ClassLESSON6DecimalsPractice B: Dividing by DecimalsFind each quotient.1. 9.0 0.94. 10.5 1.57. 20.4 5.110. 16.56 6.92. 29.6 3.73. 10.81 2.35. 15.36 4.86. 9.75 1.38. 37.5 2.59. 9.24 1.111. 28.9 8.512. 14.35 0.7Evaluate x 1.2 for each value of x.13. x 40.816. x 14.4 Houghton Mifflin Harcourt Publishing Company14. x 1.815. x 10.817. x 4.3218. x 0.0619. Anna is saving 6.35 a week to buya computer game that costs 57.15.How many weeks will she have tosave to buy the game?20. Ben ran a 19.5-mile race lastSaturday. His average speed duringthe race was 7.8 miles per hour. Howlong did it take Ben to finish the race?19Holt McDougal Mathematics
Name Date ClassLESSON7DecimalsPractice B: Interpreting the QuotientCircle the letter of the correct answer.1. You spent a total of 6.75 for15 yards of ribbon. How muchdid the ribbon cost per yard?2. Buttons come in packs of 12. Howmany packs should you buy if youneed 100 buttons?A 0.50F 10B 0.45G 8C 1.35H 9D 1.45J 123. Your sewing cabinet hascompartments that hold 8 spoolsof thread each. You have 50 spoolsof thread. How many compartmentscan you fill?4. You spent a total of 35.75 for velvetcloth. Each yard of the velvet costs 3.25. How many yards did you buy?F 10G 10.5A 6H 11B 7J 11.5C 5D 86. You are saving 17.00 each week tobuy a new sewing machine that costs 175.50. How many weeks will youhave to save to have enough moneyto buy the sewing machine?5. You used a total of 67.5 yards ofcotton material to make costumesfor the play. Each costume used11.25 yards of cloth. How manycostumes did you make?7. Sequins come in packs of 75. Youuse 12 sequins on each costume. Ifyou have one pack of sequins, howmany costumes can you make?8. You pay 26.28 for a subscription toSewing Magazine. You get an issueevery month for a year. How muchdoes each issue cost?20Holt McDougal Mathematics Houghton Mifflin Harcourt Publishing CompanyWrite the correct answer.
Name Date ClassLESSON8DecimalsPractice B: Solving Decimal EquationsSolve each equation. Check your answer.1. a 2.7 4.82. b 7 1.93. w 6.5 3.84. p 0.4 1.75. 4.5 x 86. b 3 2.57. 7.8 s 15.28. 1.63q 9.789. 0.05 x 2.0610. 1.7n 2.3811. t 6.08 12.5912. 9q 16.213. w 8.9 10.314. 1.4n 3.22 Houghton Mifflin Harcourt Publishing Company15. t 12.7 0.816. 3.8 a 6.517. The distance around a squarephotograph is 12.8 centimeters.What is the length of each sideof the photograph?18. You buy two rolls of film for 3.75each. You pay with a 10 bill. Howmuch change should you get back?21Holt McDougal Mathematics
Name Date ClassLESSON1Number Theory and FractionsPractice B: Factors and Prime FactorizationList all of the factors of each number.1. 152. 243. 334. 725. 486. 957. 668. 879. 36Write the prime factorization of each number.13. 3916. 8511. 5612. 4214. 3615. 12517. 10018. 3219. James has an assigned seat for hisflight to Denver. The seats on theplane are numbered 1–49. James’sseat number is an odd number greaterthan 10 that is factor of 100. What ishis seat number for the flight?20. Linda writes the prime factorization of40 as 2 2 2 5 on the board. Philwrites the prime factorization of 40 as23 5. Who is correct?22Holt McDougal Mathematics Houghton Mifflin Harcourt Publishing Company10. 44
Name Date ClassLESSON2Number Theory and FractionsPractice B: Greatest Common FactorFind the GCF of each set of numbers.1. 12 and 154. 16 and 247. 48 and 6410. 16, 28, and 4813. 18, 36, and 5416. 25, 35, and 45 Houghton Mifflin Harcourt Publishing Company2. 18 and 245. 36 and 458. 27 and 7211. 15, 35, and 9514. 27, 36, and 4517. 28, 42, and 633. 15 and 256. 24 and 549. 55 and 7712. 20, 30, and 8015. 21, 49, and 6318. 25, 75, and 11519. Mr. Thompson’s sixth-grade class is competing in the school fieldday. There are 16 boys and 12 girls in his class. He divided theclass into the greatest number of teams possible with the samenumber of boys on each team and the same number of girls oneach team. How many teams were made if each person was ona team? How many girls were on each team? Howmany boys?20. Barbara is making candy bags for her birthday party. She has24 lollipops, 12 candy bars, and 42 pieces of gum. She wantseach bag to have the same number of each kind of candy.What is the greatest number of bags she can make if all thecandy is used? How many pieces of each kind of candy willbe in each bag?23Holt McDougal Mathematics
Name Date ClassLESSON3Number Theory and FractionsPractice B: Equivalent ExpressionsFactor the sum of terms as a product of the GCF and a sum.1. 18 204. 24 407. 10y 1510. 56 24x2. 35 153. 12 665. 52 286. 3 338. 18s 2111. 80 25z9. 49m 712. 32b 48Write four equivalent expressions for each given expression.13. 50 1014. 42 1815. 24x 8x17. 4(2 7p)18. 3(6m 3)19. Kara’s backpack contains 4 boxes of pencils. Each box contains ppencils. Kara’s backpack also contains 6 pens. Write three equivalentexpressions for the total number of pencils and pens in Kara’s backpack.20. Juan buys c children’s tickets at 8 each. He also buys one adult ticket for 12. Write three equivalent expressions for the total cost of the tickets.24Holt McDougal Mathematics Houghton Mifflin Harcourt Publishing Company16. 5n 15n
Name Date ClassLESSON4Number Theory and FractionsPractice B: Decimals and FractionsWrite each decimal as a fraction or mixed number.1. 0.234. 1.32. 0.13. 3.255. 5.56. 3.7Write each fraction or mixed number as a decimal.7. 4510. 3 358. 199. 1 2312. 8911. 2 13Order the fractions and decimals from least to greatest.13. 1 , 0.7, 34514. 0.25, 1 , 0.3815. 9 , 0.49, 1210 Houghton Mifflin Harcourt Publishing CompanyOrder the fractions and decimals from greatest to least.16. 0.13, 1 , 0.91017. 2 , 0.7, 25318. 0.65, 4 , 35 419. Derrick has a dollar bill and three dimes, Jane has a dollar billand one quarter, and Kelly has a dollar bill and ten nickels. Whohas the most money? the least?20. It rained three and one half inches in April. In May it rained3 3 inches, and in June it rained 3.6 inches. Write the months4in order from the greatest to the least amount of rain.25Holt McDougal Mathematics
Name Date ClassLESSON5Number Theory and FractionsPractice B: Equivalent FractionsFind two equivalent fractions for each fraction.1. 363. 11132. 475. 5144. 2156. 899. 251008. 24487. 221Find the missing numbers that make the fractions equivalent.10. 4 ?7 2812. 36 ?4 111. 2 ?9 5413. 56 ?8 214. 1 3 ?5 2515. 1 4 ?7 4216. 152517. 83619. 102418. 121820. Billy had 24 trading cards. He gave 7 of his cards to Miko and9 of his cards to Teri. What fraction of his original 24 cards doesBilly have left? Write two equivalent fractions for that amount.21. Beth and Kristine ride their bikes to school in the morning. Bethhas to ride 1 7 miles. Kristine has to ride 39 miles. Who rides3232the farthest to reach school? Explain.26Holt McDougal Mathematics Houghton Mifflin Harcourt Publishing CompanyWrite each fraction in simplest form.
Name Date ClassLESSON6Number Theory and FractionsPractice B: Mixed Numbers and Improper FractionsWrite each mixed number as an improper fraction.1. 3 124. 1 377. 2 352. 2 133. 5 145. 3 346. 4 138. 3 569. 7 13Write each improper fraction as a mixed number or wholenumber. Tell whether your answer is a mixed number orwhole number.10. 17313. 3310 Houghton Mifflin Harcourt Publishing Company16. 104811. 40812. 48714. 50815. 83918. 781117. 121619. The hotel ordered an extra-long rug for a hallway that is123 feet long. What is the rug’s length in feet and inches?2Remember, 1 foot 12 inches.20. During this year’s football-throwing contest, John threw the ball49 2 feet. Sharon threw the ball 51 feet. Who threw the ball 15333feet?27Holt McDougal Mathematics
Name Date ClassLESSON7Number Theory and FractionsPractice B: Comparing and Ordering FractionsCompare. Write , , or .1. 47352. 184. 78565. 182423343. 14256. 45812Order the fractions from least to greatest.7. 1 , 2 , 12 5 310. 5 , 3 , 29 7 38. 2 , 3 , 25 4 311. 3 , 2 , 38 7 59. 3 , 5 , 47 6 512. 2 , 1 , 27 8 5Order the fractions from greatest to least.16. 4 , 7 , 15 10 1214. 3 , 4 , 27 9 317. 3 , 3 , 48 4 915. 2 , 3 , 25 10 318. 4 , 3 , 57 5 619. David ran 4 1 miles, Shane ran 4 1 miles, and Matt ran 4 5 miles.842Who ran the farthest?20. Darius and Anita both took the same test. Darius answered 5 of66the questions correctly, and Anita answeredcorrectly. Who7got the higher score on the test?28Holt McDougal Mathematics Houghton Mifflin Harcourt Publishing Company13. 1 , 2 , 16 7 5
Name Date ClassLESSON1Fraction OperationsPractice B: Least Common MultipleFind the least common multiple (LCM).1. 2 and 54. 6 and 87. 10 and 1510. 3, 6, and 913. 3, 5, and 92. 4 and 33. 6 and 45. 5 and 96. 4 and 58. 8 and 129. 6 and 1011. 2, 5, and 1014. 2, 5, and 812. 4, 7, and 1415. 3, 9, and 1216. Mr. Stevenson is ordering shirts and hats for his Boy Scouttroop. There are 45 scouts in the troop. Hats come in packs of 3,and shirts come in packs of 5. What is the least number of packsof each he should order so that each scout will have 1 hatand 1 shirt, and none will be left over? Houghton Mifflin Harcourt Publishing Company17. Tony wants to make 36 party bags. Glitter pens come in packsof 6. Stickers come in sheets of 4, and balls come in packs of 3.What is the least number of each package he should buy to have1 of each item in every party bag, and no supplies left over?18. Glenda is making 30 school supply baskets. Notepads come inpacks of 5. Erasers come in packs of 15, and markers come inpacks of 3. What is the least number of each package sheshould buy to have 1 of each item in every basket, and nosupplies left over?29Holt McDougal Mathematics
Name Date ClassLESSON2Fraction OperationsPractice B: Adding and Subtracting with Unlike DenominatorsAdd or subtract. Write each answer in simplest form.1.6 1374.7 2387.5 13910.4 75 113. 1 3482. 3 2575.1 3566. 5 2368. 7 3849. 5 161211. 4 59612. 5 238Evaluate each expression for b 1 . Write your answer in3simplest form.13. b 515. 2 b14. 7 b98716. b b18. 3 b417. 11 b1219. There are three grades in Mona’s
1 Name _ Date _ Class_ Holt McDougal Mathematics Operations and Properties Practice B: Estimating with Whole Numbers Estimate each sum or difference by rounding to the greatest place value. . Introduction to Algebra Practice B: Translating Between Words and Math 1
