GLENCOE MATHEMATICS Skills include: ■ Estimation ■ Factoring ■ Order of Operations ■ Decimal Operations ■ Fraction Operations ■ Integer Operations ■ Identifying and Applying Properties ■ Measurement ■ Graphing Course 3 Visit us online at: math.glencoe.com ISBN 0-07-860733-7 90000 Contents include: ■ 9 780078607332 Practice worksheets for 35 Basic Math Skills Copyright © by The McGraw-Hill Companies, Inc. All rights reserved. Printed in the United States of America. Permission is granted to reproduce the material contained herein on the condition that such material be reproduced only for classroom use; be provided to students, teachers, and families without charge; and be used solely in conjunction with Glencoe products. Any other reproduction, for use or sale, is prohibited without prior written permission of the publisher. Send all inquiries to: Glencoe/McGraw-Hill 8787 Orion Place Columbus, OH 43240 ISBN: 0-07-860734-5 2 3 4 5 6 Math Skills Maintenance, Course 3 7 8 9 10 024 11 10 09 08 07 06 05 04 CONTENTS Math Skill 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 Page Using Order of Operations with Powers . . . . . . . . . . . . . . . . . . . . . . 1 Divisibility Patterns . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 Prime Factorization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 Greatest Common Factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 Equivalent Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 Simplifying Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 Least Common Multiple. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 Comparing and Ordering Decimals . . . . . . . . . . . . . . . . . . . . . . . . . 15 Adding and Subtracting Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . 17 Multiplying Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 Dividing Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 Multiplying and Dividing Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . 23 Operations with Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 Estimating with Decimals. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 Mixed Numbers and Improper Fractions . . . . . . . . . . . . . . . . . . . . . 31 Adding and Subtracting Fractions with Like Denominators . . . . . . . 34 Adding and Subtracting Fractions with Unlike Denominators . . . . . 36 Adding and Subtracting Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . 38 Adding and Subtracting Mixed Numbers . . . . . . . . . . . . . . . . . . . . . 40 Multiplying Fractions and Mixed Numbers. . . . . . . . . . . . . . . . . . . . 42 Dividing Fractions and Mixed Numbers. . . . . . . . . . . . . . . . . . . . . . 44 Operations with Fractions and Mixed Numbers. . . . . . . . . . . . . . . . 46 Adding Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 Subtracting Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 Adding and Subtracting Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 Multiplying Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54 Dividing Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56 Multiplying and Dividing Integers. . . . . . . . . . . . . . . . . . . . . . . . . . . 58 Identifying Properties. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60 Using Properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 Measurement: The Customary System . . . . . . . . . . . . . . . . . . . . . . 64 Measurement: The Metric System. . . . . . . . . . . . . . . . . . . . . . . . . . 67 Perimeter and Area of Rectangles . . . . . . . . . . . . . . . . . . . . . . . . . 70 Graphing Points on a Coordinate Plane . . . . . . . . . . . . . . . . . . . . . 73 Displaying Data on Graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76 iii NAME ________________________________________ DATE ______________ PERIOD _____ 1 Math Skills Maintenance Using Order of Operations with Powers Find the value of each expression. 2. 122 ÷ 6 (3 5) 3. 33 2 64 ÷ 42 4. 9 7 (7 8 2)2 5. (72 1) 5 13 6. 100 23 8 7 7. (100 23 8) 7 8. 2[52 (8 4) 3] 9. (22 3)(32 2) Skill 1 1. 52 8 6 10. (22 3) (32 2) 11. 72 8 7 4 12. 99 42 3 2 13. 82 43 1 14. 92 (7 2)2 50 15. (102 52) 25 16. (1 2)3 (2 3)2 17. (2 52) (32) 18. 33 1 15 5 19. 72 6 2 3 20. 47 7 5 24 21. 62 3 4 (23 1) © Glencoe/McGraw-Hill 1 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 1 Math Skills Maintenance Using Order of Operations with Powers Find the value of each expression. 1. 23 9 5 2. 102 4 (4 6) 3. 42 3 63 32 4. 11 9 (10 9 3)2 5. (52 1) 2 26 6. 80 33 6 7 7. (80 33 6) 7 8. 5[82 (10 5) 3] 9. (42 5)(52 4) 10. (62 5) (52 6) 11. 92 2 9 15 12. 75 52 2 5 13. 102 52 60 14. 122 (4 2)2 100 15. (82 42) 30 16. (1 1)3 (1 1)2 17. (32 52) (17) 18. 45 2 14 7 19. 92 8 3 4 20. 88 6 2 32 21. 52 2 3 (42 2) © Glencoe/McGraw-Hill 2 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 2 Math Skills Maintenance Divisibility Patterns Determine whether each given number is divisible by 2, 3, 4, 5, 6, 9, or 10. 2. 40 3. 94 4. 156 5. 275 6. 418 7. 690 8. 813 9. 997 10. 1,400 11. 1,358 12. 2,115 13. 4,990 14. 5,783 15. 10,556 Skill 2 1. 12 © Glencoe/McGraw-Hill 3 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 2 Math Skills Maintenance Divisibility Patterns Determine whether each given number is divisible by 2, 3, 4, 5, 6, 9, or 10. 1. 18 2. 60 3. 92 4. 168 5. 425 6. 499 7. 678 8. 825 9. 962 10. 1,600 11. 1,855 12. 2,337 13. 4,448 14. 6,950 15. 12,261 © Glencoe/McGraw-Hill 4 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 3 Math Skills Maintenance Prime Factorization Determine whether each number is prime, composite, or neither. 2. 44 3. 66 4. 67 5. 73 6. 113 7. 158 8. 247 9. 416 10. 643 11. 885 12. 957 13. 1,424 14. 1,883 15. 2,223 Skill 3 1. 31 © Glencoe/McGraw-Hill 5 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 3 Math Skills Maintenance Prime Factorization Determine whether each number is prime, composite, or neither. 1. 41 2. 54 3. 63 4. 71 5. 79 6. 117 7. 159 8. 361 9. 424 10. 681 11. 895 12. 991 13. 1,532 14. 1,951 15. 2,667 © Glencoe/McGraw-Hill 6 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 4 Math Skills Maintenance Greatest Common Factor Find the greatest common factor (GCF) of each set of numbers. 2. 14; 32 3. 25; 85 4. 66; 44 5. 16; 76 6. 21; 56 7. 45; 105 8. 18; 54 9. 72; 120 10. 88; 132 11. 78; 130 12. 340; 408 13. 128; 512 14. 165; 345 15. 1,000; 1,280 Skill 4 1. 24; 42 © Glencoe/McGraw-Hill 7 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 4 Math Skills Maintenance Greatest Common Factor Find the greatest common factor (GCF) of each set of numbers. 1. 12; 16; 44 2. 14; 28; 56 3. 20; 62; 72 4. 35; 60; 95 5. 18; 36; 87 6. 48; 112; 136 7. 34; 51; 102 8. 108; 162; 189 9. 120; 160; 212 © Glencoe/McGraw-Hill 10. 125; 225; 325 8 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 5 Math Skills Maintenance Equivalent Fractions Find the value that will make each set of fractions equivalent. a 2 3 18 2. 48 b 7 56 3. 24 8 9 p 4. 21 7 t 75 5. x 9 10 110 6. 5 25 60 k 7. 135 3 4 w 8. 27 m 16 48 9. f 8 13 156 10. 28 4 c 175 11. h 11 20 100 12. y 64 4 256 13. g 80 23 92 14. 85 5 x 102 15. 4 52 9 b Skill 5 1. © Glencoe/McGraw-Hill 9 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 5 Math Skills Maintenance Equivalent Fractions Find any fraction equivalent to the given fraction. 1. 8 15 2. 5 32 3. 72 100 4. 4 7 5. 12 17 6. 9 14 7. 14 63 8. 16 33 9. 5 8 10. 1 5 11. 102 105 12. 50 72 13. 45 90 14. 23 44 15. 9 20 16. 2 3 17. 17 30 18. 16 44 19. 12 13 20. 5 17 21. 11 24 © Glencoe/McGraw-Hill 10 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 6 Math Skills Maintenance Simplifying Fractions 1. 7 21 2. 18 36 3. 4 26 4. 25 40 5. 21 49 6. 24 30 7. 38 57 8. 17 85 9. 39 117 10. 12 27 11. 36 48 12. 15 60 13. 49 98 14. 45 81 15. 65 100 © Glencoe/McGraw-Hill 11 Math Skills Maintenance, Course 3 Skill 6 Write each fraction in simplest form. NAME ________________________________________ DATE ______________ PERIOD _____ 6 Math Skills Maintenance Simplifying Fractions Write each fraction in simplest form. 1. 15 18 2. 24 60 3. 7 16 4. 81 9 5. 42 75 6. 28 84 7. 33 36 8. 21 70 9. 40 8 10. 22 55 11. 76 95 12. 12 16 13. 18 27 14. 24 120 15. 60 135 © Glencoe/McGraw-Hill 12 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 7 Math Skills Maintenance Least Common Multiple 1. 8, 12 2. 10, 25 3. 4, 6 4. 15, 20 5. 10, 13 6. 30, 50 7. 4, 14 8. 9, 36 9. 12, 15 10. 16, 40 11. 17, 18 12. 35, 49 13. 24, 42 14. 6, 16 15. 48, 120 © Glencoe/McGraw-Hill 13 Math Skills Maintenance, Course 3 Skill 7 Find the least common multiple (LCM) of each set of numbers. NAME ________________________________________ DATE ______________ PERIOD _____ 7 Math Skills Maintenance Least Common Multiple Find the least common multiple (LCM) of each set of numbers. 1. 4, 5, 6 2. 10, 12, 15 3. 5, 9, 15 4. 7, 14, 42 5. 25, 28, 30 6. 21, 48, 49 7. 10, 16, 40 8. 14, 42, 98 9. 32, 40, 96 10. 13, 26, 65 © Glencoe/McGraw-Hill 14 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 8 Math Skills Maintenance Comparing and Ordering Decimals 1. 0.103 ● 0.094 2. 0.805 ● 0.81 3. 4.23 ● 42.3 4. 6.20 ● 6.2 5. 3.275 ● 3.199 6. 8.0353 ● 8.035 7. 12 ● 12.00 8. 0.0093 ● 0.1001 9. 123.53 ● 12.353 10. 6.51 ● 6.5 11. 0.315 ● 0.351 12. 216.6 ● 216.48 13. 11.01 ● 11.0100 14. 0.204 ● 0.24 15. 0.75 ● 0.80 © Glencoe/McGraw-Hill 15 Math Skills Maintenance, Course 3 Skill 8 Replace each ● with , , or to make a true sentence. NAME ________________________________________ DATE ______________ PERIOD _____ 8 Math Skills Maintenance Comparing and Ordering Decimals Order the given numbers from least to greatest. 1. 0.03, 0.3, 0.003, 3.00 2. 1.198, 11.98, 0.1198, 0.1918 3. 2.3, 2.03, 2.13, 2.033 4. 8.422, 8.4, 8.224, 0.8994 5. 0.65, 0.605, 0.5, 0.61 6. 2.1, 2.11, 2.02, 2 Order the given numbers from greatest to least. 7. 6.312, 6.123, 6.331, 6.321 9. 12.212, 12.122, 12.221, 12.3 8. 0.543, 0.544, 5.430, 4.350 10. 8.88, 8.888, 8.088, 8.188 11. 0.009, 0.091, 0.09, 0.1 12. 4.62, 4.06, 4.61, 6.41 © Glencoe/McGraw-Hill 16 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 9 Math Skills Maintenance Adding and Subtracting Decimals Find each sum or difference. 1. 1.39 0.68 2. 2.8 0.67 3. 23 4.93 4. 2.09 12.21 3.32 5. 16.52 7.92 6. $3.56 $0.49 10. 68.7 1.47 8. $14.75 $6.98 9. 7.02 4.88 11. 15 12.66 12. 54.54 7.07 9.2 14. Three pieces of cardboard are 1.18 inches, 0.38 inch, and 6.34 inches thick. If the pieces are stacked, what is the thickness of the three pieces? 15. A weightlifter lifted 46.8 kilograms on his first attempt. His next lift was 50 kilograms. How much more weight did he lift on his second attempt? Skill 9 7. 36 215.5 4.63 Solve. 13. Latisha began shopping with $20. She bought lunch for $4.49 and a CD for $13.91. How much money does she have left? © Glencoe/McGraw-Hill 17 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 9 Math Skills Maintenance Adding and Subtracting Decimals Find each sum or difference. 1. 43.86 22.92 2. 7.34 9.59 4. 108.82 77.40 5. 62.10 15.58 7. 71.75 8.9 223.50 8. 53.27 88 19.99 10. 38.02 3.65 3. 523.87 14.86 6. $42.13 $18.94 9. $545.19 $112.28 11. 78.09 14.92 12. 312.07 29.86 14. Marcy went to the grocery store with $15.00. She bought two 12-packs of soda that cost $2.99 each and a bag of potato chips for $1.99. How much money does she have left? 15. Omar ran the 100-meter sprint in 10.82 seconds. Jamal ran the same sprint in 10.39 seconds. How much more time did it take Omar than Jamal to finish the sprint? Solve. 13. On a business trip, Mr. Perez put 12.38 gallons, 13.09 gallons, and 11.45 gallons of gasoline in his car. How many gallons of gasoline did he use all together? © Glencoe/McGraw-Hill 18 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 10 Math Skills Maintenance Multiplying Decimals Find each product. 1. 2.5 13 2. 6.9 53 3. 46.8 5.2 4. 164 8.8 5. 9.1 5.3 6. 922.2 0.4 7. 8.2 5.9 10. 15.1 12 8. 20.7 11.4 9. 33.2 9.2 11. 4.8 6.5 12. 16.6 0.6 14. To build an addition for his house, Mr. Toshio needs 18 sections of paneling that are each 7.5 feet long. How many total feet of paneling does Mr. Toshio need? 15. Over the course of five months, Olivia noticed an average of 2.5 inches of rainfall per month. How much total rainfall did she observe over the fivemonth period? 13. Katie worked 40.5 hours this week. She makes $8 per hour. How much money did she earn this week? © Glencoe/McGraw-Hill 19 Math Skills Maintenance, Course 3 Skill 10 Solve. NAME ________________________________________ DATE ______________ PERIOD _____ 10 Math Skills Maintenance Multiplying Decimals Find each product. 1. 7.19 3.09 2. $56.24 12 3. 80.4 2.34 4. $10.16 1.25 5. 6. 9.03 3.2 7. $11.75 16 8. 49.76 5.11 10. 3.15 2.7 4.81 7.85 11. 1.76 5.13 9. 237.02 8.3 12. 12.25 1.28 Solve. 13. The costume designer 14. Khalid purchased five for a drill team needs 12-packs of soda that 3.25 yards of fabric to cost $3.59 each. How make one uniform. How much did Khalid spend much fabric is necessary on soda? if 44 uniforms are needed for the team? © Glencoe/McGraw-Hill 20 15. At her job, Annie earns $9.50 per hour. If Annie worked 32.5 hours last week, how much money did she earn? Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 11 Math Skills Maintenance Dividing Decimals Find each quotient. 1. 0.3 2.01 2. 0.04 0.92 3. 0.7 2.45 4. 0.63 756 5. 4.6 $115 6. 8.1 132.03 7. 0.26 111.02 8. 4.7 433.81 9. 0.68 44.2 10. $25.62 0.84 11. 40.05 4.5 12. 100.8 3.6 14. Before taxes, Drew’s pay was $173.25. If he earns $8.25 per hour, how many hours did Drew work? 15. A 20.5-ounce bottle of shampoo costs $4.51. What is the price per ounce? Solve. Skill 11 13. Marta ran a total of 6.25 miles on a 0.25-mile track. How many laps did Marta run? © Glencoe/McGraw-Hill 21 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 11 Math Skills Maintenance Dividing Decimals Find each quotient. 1. 0.3 $30.66 2. 16.7 136.94 3. 12.3 100.86 4. 1.25 32.5 5. 13.1 1,126.6 6. 5.1 113.73 7. 2.04 153 8. 3.2 28.16 9. 6.7 69.01 10. 34.32 0.12 11. 84.64 0.92 12. 209.33 17.3 14. Sofia earned $255.75 on her last paycheck. If she worked 15.5 hours, what is Sofia’s hourly wage? 15. Which is a better bargain, a 22.5 ounce box of cereal that costs $3.60, or a 14.5 ounce box of the same cereal that costs $2.90? Solve. 13. Mrs. Rollins paid a total of $11.25 for lunchmeat that was priced at $4.50 per pound. How many pounds of lunchmeat did she buy? © Glencoe/McGraw-Hill 22 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 12 Math Skills Maintenance Multiplying and Dividing Decimals 2. 1.85 46.25 3. 100.22 0.34 4. 2.65 3.71 5. 6. 0.24 11.28 7. 8. 1.5 54.75 1. 6.72 4.3 8.08 6.3 10. 2.2 35.42 11. 51.07 12.8 9. $11.34 10.5 12. 9.5 24.13 112.6 7.07 Solve. 13. Ramon drove at 37.5 per hour for 1.5 hours. How far did he drive? © Glencoe/McGraw-Hill 14. For a school fund-raiser, each person in Mr. Singh’s class walked 5.25 miles. The whole class walked a total of 126 miles. How many people are in Mr. Singh’s class? 23 15. Candy bought from the bulk food section costs $3.30 per pound. Sarah wants 2.5 pounds of candy. How much will she have to pay? Math Skills Maintenance, Course 3 Skill 12 Find each product or quotient. NAME ________________________________________ DATE ______________ PERIOD _____ 12 Math Skills Maintenance Multiplying and Dividing Decimals Find each product or quotient. 2. 4.2 375.06 3. 4. 0.09 10.89 5. 89.6 8.37 6. 18.75 0.75 7. 219.22 0.7 8. 74.62 1.4 9. 40.25 12.8 10. 0.16 6.64 11. 17.7 6.48 12. 81.84 0.22 14. In a survey, 2.25 times as many students preferred pizza to hot dogs. If 44 students preferred hot dogs, how many preferred pizza? 15. California has 7.25 times as many counties as Connecticut. If California has 58 counties, how many counties are in Connecticut? 1. 2.02 1.04 7.43 3.49 Solve. 13. A carwash charges $3.75 per wash. If the carwash made $315 in one day, how many cars were washed? © Glencoe/McGraw-Hill 24 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 13 Math Skills Maintenance Operations with Decimals 1. 514.67 122.8 2. 13.92 52 3. 74.07 12.68 4. 0.84 27.3 5. 375.8 22.96 6. 108.47 16.60 7. 98.09 4.8 8. 56.03 22.75 10. 94.45 7.75 13. 64.71 25.82 © Glencoe/McGraw-Hill 9. 3.5 78.4 11. 126.18 3.6 12. 62.93 8.6 14. 2.56 3.2 15. 46.8 7.91 25 Math Skills Maintenance, Course 3 Skill 13 Find each sum, difference, product, or quotient. NAME ________________________________________ DATE ______________ PERIOD _____ 13 Math Skills Maintenance Operations with Decimals Find each sum, difference, product, or quotient. 3. 7.5 8.46 1. 17.08 5.4 2. 4. 82.65 47.83 5. 608.2 59.34 6. 8. 9. 307.09 45.6 7. 44.1 9.8 346.72 106.80 16.62 0.8 1,903.05 432.98 10. 845.2 6.78 11. 5.12 16.64 12. 61.6 22.01 13. 407.3 186.94 14. 15. 743.59 88.8 © Glencoe/McGraw-Hill 31.25 0.44 26 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 13 Math Skills Maintenance Operations with Decimals Find each sum, difference, product, or quotient. 98.93 0.6 2. 4. 2,045.56 202.80 5. 908.33 606.17 6. 122.5 6.4 8. 9. 9.5 425.6 7. 249.6 3.25 18.81 6.70 52.20 8.44 10. 7,500.64 1,275.70 11. 803.8 45.77 12. 87.86 0.4 13. 99.42 2.6 14. 5.5 105.6 15. © Glencoe/McGraw-Hill 27 319.1 72.43 Math Skills Maintenance, Course 3 Skill 13 3. 0.85 5.61 1. NAME ________________________________________ DATE ______________ PERIOD _____ 13 Math Skills Maintenance Operations with Decimals Find each sum, difference, product, or quotient. 1. 6.2 151.28 2. 27.24 18.99 3. 707.3 336.96 4. 5. 50.5 8.6 6. 0.32 52.24 224.4 81.75 7. 5,044.5 378.89 8. 904 6.25 9. 61.1 53.62 10. 112.7 4.9 11. 328.46 12.77 12. 13. 46.65 0.8 14. 812.6 1.45 15. 15.2 258.4 © Glencoe/McGraw-Hill 28 217.17 86.50 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 14 Math Skills Maintenance Estimating with Decimals Estimate each sum, difference, product, or quotient. 1. 5,402.08 782.91 2. 67.55 4.3 3. 11.25 127.14 4. 5. 476.37 19.1 6. 7. 834.34 38.1 8. 774.28 685.1 27.06 8.01 9. 1,002.33 566.89 10. 282.05 98.36 11. 46.6 5.1 12. 8.6 176.04 13. 940.94 25.20 14. 4,809.23 371.80 15. 6.72 213.46 © Glencoe/McGraw-Hill 29 Math Skills Maintenance, Course 3 Skill 14 6,992.46 1,433.64 NAME ________________________________________ DATE ______________ PERIOD _____ 14 Math Skills Maintenance Estimating with Decimals Estimate each sum, difference, product, or quotient. 2. 8,623.09 2,356.81 3. 73.33 18.4 4. 56.3 718.67 5. 506.22 4.03 6. 8.41 482.26 7. 3,540.8 871.99 8. 908.63 443.24 1. 306.6 72.7 9. 5,636.67 38.3 10. 86.74 32.59 11. 1,684.08 2.64 12. 546.35 267.25 13. 3,979.76 3,023.43 14. 38.05 1,196.64 15. 214.36 329.81 © Glencoe/McGraw-Hill 30 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 15 Math Skills Maintenance Mixed Numbers and Improper Fractions 1. 13 4 2. 26 5 3. 8 3 4. 49 9 5. 11 2 6. 38 7 7. 43 10 8. 16 3 9. 29 4 10. 109 8 11. 73 11 12. 84 5 13. 237 7 14. 199 6 15. © Glencoe/McGraw-Hill 31 212 9 Math Skills Maintenance, Course 3 Skill 15 Write each improper fraction as a mixed number. NAME ________________________________________ DATE ______________ PERIOD _____ 15 Math Skills Maintenance Mixed Numbers and Improper Fractions Write each mixed number as an improper fraction. 1. 6 1 4 2. 3 7 8 3. 5 3 4 4. 7 1 6 5. 9 4 9 6. 2 9 16 7. 6 7 10 8. 4 2 11 9. 8 5 7 2 3 11. 9 9 13 12. 11 1 2 19 20 14. 32 15. 14 8 13 10. 14 13. 6 © Glencoe/McGraw-Hill 17 25 32 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 15 Math Skills Maintenance Mixed Numbers and Improper Fractions Write each mixed number as an improper fraction, and each improper fraction as a mixed number. 1. 41 4 4. 2 29 6 13 2 5. 8 8. 3. 3 4 23 5 6. 11 43 9 9. 2 3 57 7 Skill 15 7. 7 12 2. 7 9 11. 5 103 8 14. 22 10. 3 13. © Glencoe/McGraw-Hill 6 11 12. 10 12 25 15. 33 3 10 82 3 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 16 Math Skills Maintenance Adding and Subtracting Fractions with Like Denominators Add or subtract. Write each sum or difference in simplest form. 1. 2 5 9 9 2. 1 7 10 10 3. 7 9 20 20 4. 7 4 9 9 5. 11 7 12 12 6. 4 1 15 15 7. 5 3 16 16 8. 9 4 11 11 9. 7 5 8 8 10. 11 1 16 16 11. 7 3 20 20 12. 13 7 25 25 13. 33 17 50 50 14. 23 5 36 36 15. 22 25 39 39 © Glencoe/McGraw-Hill 34 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 16 Math Skills Maintenance Adding and Subtracting Fractions with Like Denominators Add or subtract. Write each sum or difference in simplest form. 8 5 11 11 2. 14 11 15 15 3. 13 3 20 20 4. 23 17 30 30 5. 5 13 24 24 6. 9 7 16 16 7. 17 5 18 18 8. 4 6 11 11 9. 25 11 36 36 10. 33 19 35 35 11. 31 4 49 49 12. 15 7 32 32 13. 13 17 42 42 14. 28 8 45 45 15. 22 23 75 75 Skill 16 1. © Glencoe/McGraw-Hill 35 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 17 Math Skills Maintenance Adding and Subtracting Fractions with Unlike Denominators Add or subtract. Write the sum or difference in simplest form. 1. 4. 7. 10. 13. 1 5 1 4 8 9 5 36 4 5 1 2 13 20 1 4 14 15 7 12 © Glencoe/McGraw-Hill 2. 5. 8. 11. 14. 11 12 1 6 3. 5 12 1 3 6. 7 30 1 15 9. 13 21 3 7 12. 8 17 15 68 15. 36 5 8 7 24 7 16 1 2 1 12 3 4 8 9 5 6 12 25 27 100 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 17 Math Skills Maintenance Adding and Subtracting Fractions with Unlike Denominators Add or subtract. Write the sum or difference in simplest form. 4. 7. 10. 13. 1 9 2 3 14 25 3 50 7 8 1 40 3 5 1 3 13 14 5 12 © Glencoe/McGraw-Hill 2. 5. 8. 11. 14. 4 5 13 30 3. 8 15 4 9 6. 3 5 3 8 9. 13 25 1 2 12. 37 40 2 9 15. 37 25 36 2 9 16 35 3 10 19 20 31 100 7 12 6 25 17 22 8 55 Math Skills Maintenance, Course 3 Skill Skill17 5 1. NAME ________________________________________ DATE ______________ PERIOD _____ 18 Math Skills Maintenance Adding and Subtracting Fractions Add or subtract. Write each sum or difference in simplest form. 1. 4. 7. 10. 13. 19 20 7 10 2 9 5 12 5 18 3 8 10 11 7 8 13 15 1 5 © Glencoe/McGraw-Hill 2. 5. 8. 11. 14. 12 25 2 5 3. 13 30 1 4 6. 5 6 5 9 9. 3 4 1 12 12. 3 14 3 4 15. 38 9 10 3 10 17 20 13 20 11 40 9 40 41 64 19 64 14 25 3 10 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 18 Math Skills Maintenance Adding and Subtracting Fractions 1. 4. 7. 10. 13. 7 12 5 18 2 3 2 7 5 24 5 24 4 25 7 10 11 12 7 10 © Glencoe/McGraw-Hill 2. 5. 8. 11. 14. 13 14 5 14 3. 6 35 2 5 6. 7 9 7 12 9. 81 110 6 11 12. 5 6 3 5 15. 39 12 25 27 100 19 40 3 8 8 15 17 60 11 36 1 4 14 25 3 8 Math Skills Maintenance, Course 3 Skill 18 Add or subtract. Write each sum or difference in simplest form. NAME ________________________________________ DATE ______________ PERIOD _____ 19 Math Skills Maintenance Adding and Subtracting Mixed Numbers Add or subtract. Write each sum or difference in simplest form. 1. 6 3 4. 7. 10. 13. 2. 1 6 1 2 2 9 5 15 13 30 5 14 6 22 4 15 3 10 5 13 9 10 29 18 30 27 © Glencoe/McGraw-Hill 5. 5 6 1 5 4 4 11 3. 7 24 6. 6 8. 11. 14. 2 7 11 9 14 16 9. 23 84 4 8 7 12. 9 4 25 4 82 5 122 15. 40 3 8 3 12 4 18 7 18 1 32 2 41 7 10 3 29 8 53 5 8 11 19 12 42 7 20 17 17 20 51 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 19 Math Skills Maintenance Adding and Subtracting Mixed Numbers Add or subtract. Write each sum or difference in simplest form. 4. 7. 10. 13. 5 6 1 2 3 5 6 7 25 4 28 6 19 20 5 34 6 56 1 2 4 62 11 77 7 20 2 2 5 4 © Glencoe/McGraw-Hill 2. 5. 8. 11. 14. 1 8 4 5 5 6 3. 8 9 3 10 7 28 6. 37 50 17 25 20 42 9. 15 16 5 72 24 108 12. 2 3 13 29 15 37 15. 41 31 50 7 12 10 14 11 15 9 253 10 609 1 9 5 23 6 19 5 32 5 21 12 30 5 12 15 512 16 224 Math Skills Maintenance, Course 3 Skill 19 1. NAME ________________________________________ DATE ______________ PERIOD _____ 20 Math Skills Maintenance Multiplying Fractions and Mixed Numbers Multiply. Write each product in simplest form. 1. 4 15 5 16 3 2. 5 14 7 3. 7 27 18 49 1 1 4. 6 3 4 5 5. 9 1 3 11 18 6. 1 3 7. 7 3 2 5 6 21 9. 6 7 64 © Glencoe/McGraw-Hill 24 1 3 25 8 8. 2 7 1 2 10 12 4 3 10. 4 4 8 7 42 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 20 Math Skills Maintenance Multiplying Fractions and Mixed Numbers Multiply. Write each product in simplest form. 21 19 1 40 21 2. 45 1 5 64 3 1 5 3. 12 2 16 1 9 4. 4 3 52 5 40 5. 8 8 63 6. 1 9 7. 23 3 28 8. 4 9. 5 9 1 1 11 32 © Glencoe/McGraw-Hill Skill 20 1. 18 100 25 117 2 26 13 27 1 1 10. 7 8 5 3 43 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 21 Math Skills Maintenance Dividing Fractions and Mixed Numbers Divide. Write each quotient in simplest form. 4 3 1. 1 5 5 2 1 2. 8 3 5 2 3. 8 4 9 4 7 4. 2 5 15 5. 5 25 18 36 5 1 6. 10 1 7 14 7. 9 9. 9 3 8 9 8 1 11 55 © Glencoe/McGraw-Hill 8. 16 2 65 13 10. 3 44 31 11 1 23 69 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 21 Math Skills Maintenance Dividing Fractions and Mixed Numbers Divide. Write each quotient in simplest form. 1. 8 16 35 49 1 9 2. 7 5 10 1 4. 6 5 4 4 9 5. 6 1 7 14 3 1 6. 9 6 4 2 23 3 24 8 5 25 8. 4 1 7 63 Skill 21 2 2 3. 2 2 3 15 7. 9. 4 4 16 15 75 © Glencoe/McGraw-Hill 2 2 10. 14 10 9 3 45 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 22 Math Skills Maintenance Operations with Fractions and Mixed Numbers Add, subtract, multiply, or divide. Write each answer in simplest form. 3 21 4 100 3 1 2. 6 5 4 3 3. 4 1 6 4. 7 2 25 6 3 5. 13 7 4 6. 2 4 8. 14 5 15 9. 1. 7. 25 1 7 81 5 2 19 10. 18 1 7 45 11. 17 4 1 13. 56 45 9 12 14. © Glencoe/McGraw-Hill 9 3 12 16 4 1 25 10 72 5 46 12. 15. 5 1 3 18 3 13 25 1 10 3 14 2 3 9 28 10 32 27 2 2 32 7 93 100 13 3 20 11 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 22 Math Skills Maintenance Operations with Fractions and Mixed Numbers Add, subtract, multiply, or divide. Write each answer in simplest form. 1. 17 18 4 5 1 2 4. 37 22 8 7 4 25 9 57 10 2. 8 3. 16 10 5. 3 62 8. 1 23 10. 62 1 2 32 11. 4 5 10 15 7 2 9 3 3 5 2 5 7 2 6. 14 5 15 1 3 9. 9 1 5 9 5 9 56 1 6 8 12 1 12. 7 4 17 12 Skill 22 7. 9 1 10 25 13. 11 20 7 16 100 45 © Glencoe/McGraw-Hill 1 11 14. 4 8 24 47 15. 16 2 9 6 10 13 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 23 Math Skills Maintenance Adding Integers Add. 1. 8 (9) 2. 6 7 3. 15 20 4. 12 4 5. 26 (3) 6. 17 (3) 7. 25 43 8. 25 43 9. 25 (43) 10. 25 (43) 11. 30 (30) 12. 55 22 13. 25 8 14. 2 15 15. 1 (19) 16. 46 (57) 17. 50 50 18. 99 1 19. 99 (1) 20. 87 (13) 21. 62 125 © Glencoe/McGraw-Hill 48 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 23 Math Skills Maintenance Adding Integers Add. 2. 10 (7) 1 3. 17 (2) 7 4. 9 4 (11) 5. 16 52 16 6. 12 (20) 5 7. 22 (8) 6 8. 7 (3) (15) 9. 27 (13) (27) 10. 24 (6) (31) 11. 5 (1) (12) 8 12. 20 5 (7) 9 13. 18 4 (2) 12 14. 13 (6) (10) (8) 15. 1 (2) (8) (6) 16. 10 (13) 6 7 17. 44 33 11 5 18. 75 (25) 1 (50) 19. 15 23 25 17 20. 25 (4) (6) (25) 21. 7 (34) (13) (16) Skill 23 1. 25 (12) 12 © Glencoe/McGraw-Hill 49 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 24 Math Skills Maintenance Subtracting Integers Subtract. 1. 15 11 2. 7 13 3. 8 5 4. 20 (25) 5. 45 (32) 6. 18 (27) 7. 31 (19) 8. 29 10 9. 6 1 10. 16 20 11. 23 (15) 12. 12 (17) 13. 18 2 14. 3 10 15. 22 (11) 16. 9 1 17. 1 9 18. 25 (30) 19. 13 (8) 20. 7 7 21. 7 (7) © Glencoe/McGraw-Hill 50 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 24 Math Skills Maintenance Subtracting Integers 1. 9 19 2. 20 3 3. 13 11 4. 22 35 5. 16 (8) 6. 16 (8) 7. 6 (2) 8. 23 11 9. 15 15 10. 8 12 11. 31 (21) 12. 9 (2) 13. 27 14 14. 8 18 15. 34 (13) 16. 15 5 17. 5 15 18. 17 (20) 19. 29 (22) 20. 1 1 21. 1 (1) © Glencoe/McGraw-Hill 51 Math Skills Maintenance, Course 3 Skill 24 Subtract. NAME ________________________________________ DATE ______________ PERIOD _____ 25 Math Skills Maintenance Adding and Subtracting Integers Add or subtract. 1. 12 20 2. 17 11 3. 33 22 4. 18 23 5. 10 (8) 6. 14 (5) 7. 16 17 8. 3 (5) 9. 24 (7) 10. 3 (3) 11. 3 (3) 12. 3 (3) 13. 15 (20) 14. 20 15 15. 14 5 16. 7 13 17. 29 (1) 18. 29 1 19. 44 55 20. 36 (60) 21. 12 14 © Glencoe/McGraw-Hill 52 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 25 Math Skills Maintenance Adding and Subtracting Integers 1. 6 9 2. 24 16 3. 21 14 4. 9 18 5. 25 (15) 6. 17 (4) 7. 3 4 8. 1 (9) 9. 19 (3) 10. 10 (10) 11. 10 10 12. 42 (22) 13. 4 (14) 14. 14 4 15. 21 10 16. 8 9 17. 35 (2) 18. 14 3 19. 17 19 20. 28 (40) 21. 18 21 © Glencoe/McGraw-Hill 53 Math Skills Maintenance, Course 3 Skill 25 Add or subtract. NAME ________________________________________ DATE ______________ PERIOD _____ 26 Math Skills Maintenance Multiplying Integers Multiply. 1. 3(7) 2. 8(7) 3. 5(6) 4. 2(2) 5. (3)2 6. 5(8) 7. 12(6) 8. 7(11) 9. 1(13) 10. 1(15) 11. (7)2 12. 2(3)(4) 13. 5(2)(4) 14. 3(5)(4) 15. 2(22) 16. 1(7)(9) 17. 1(4)2 18. 3(2)2 19. (4)3 20. 1(3)3 21. 3(2)3 © Glencoe/McGraw-Hill 54 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 26 Math Skills Maintenance Multiplying Integers Multiply. 2. 9(8) 3. 12(11) 4. 6(6) 5. (6)2 6. 10(3) 7. 8(2) 8. 9(10) 9. 1(23) Skill 26 1. 5(2) 10. 1(30) 11. (9)2 12. 3(6)(5) 13. 6(2)(5) 14. 2(8)(3) 15. 3(13) 16. 1(6)(7) 17. 1(2)2 18. 4(3)2 19. (5)3 20. 1(5)3 21. 1(6)3 © Glencoe/McGraw-Hill 55 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 27 Math Skills Maintenance Dividing Integers Divide. 1. 25 5 4. 12 3 7. 45 (9) 10. 144 12 13. 52 2 2. 32 (4) 3. 64 8 5. 20 (2) 6. 48 6 8. 54 (9) 9. 42 2 11. 95 5 12. 51 (3) 14. 100 (25) 15. 18 (1) 135 45 16. 87 29 17. 19. 92 (23) 20. 1 (1) © Glencoe/McGraw-Hill 18. 56 99 9 21. 250 (125) Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 27 Math Skills Maintenance Dividing Integers 1. 14 7 2. 35 (7) 3. 81 9 64 32 5. 98 (49) 6. 90 5 8. 25 (5) 9. 45 15 4. 7. 75 (3) 10. 169 13 13. 3 3 11. 27 9 12. 49 (7) 14. 63 (7) 15. 5 (1) 16. 112 4 17. 250 50 18. 8 (8) 19. 156 (3) 20. 34 17 21. 136 (4) © Glencoe/McGraw-Hill 57 Math Skills Maintenance, Course 3 Skill 27 Divide. NAME ________________________________________ DATE ______________ PERIOD _____ 28 Math Skills Maintenance Multiplying and Dividing Integers Multiply or divide. 1. 25(4) 2. 120 (60) 3. 18 3 4. 6(16) 5. 14(5) 6. 28 2 7. 38 (19) 8. 15(2) 9. 42 3 10. 225 15 13. 89 1 11. 7(11) 12. 13(5) 14. 120 (8) 15. 4(6)(2) 144 3 16. 111 3 17. 19. 117 (13) 20. 3(5)(7) © Glencoe/McGraw-Hill 18. 3(2)2 58 21. (6)2 (3) Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 28 Math Skills Maintenance Multiplying and Dividing Integers Multiply or divide. 4. 124 4 7. 1(91) 2. 8(4) 3. 9(9) 5. 16(6) 6. 72 (6) 8. 145 (5) 9. 7 7 10. 4(13) 11. 12(3) 12. 11 (11) 13. 5(4)(7) 14. 55 (5) 15. 11(2)(3) 16. 110 5 17. 19. 143 (11) 20. 2(5)(10) © Glencoe/McGraw-Hill 96 8 18. 5(3)2 21. (8)2 2 59 Math Skills Maintenance, Course 3 Skill 28 1. 135 (9) NAME ________________________________________ DATE ______________ PERIOD _____ 29 Math Skills Maintenance Identifying Properties Identify the property shown by each equation. 1. 5 18 18 5 2. (9 5)3 9(3) 5(3) 3. 10 (10) 0 4. 17 (3 29) (17 3) 29 5. 0 18 18 6. 5 1 1 (5) 7. 20 1 20 8. 19(16) 19(4) 19(16 4) 9. 2 3 # 3 1 2 10. 0 75 75 0 9 4 4 1 9 11. 50 50 0 12. 13. 25 (4 35) (25 4) 35 14. 0 21 21 © Glencoe/McGraw-Hill 60 # Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 29 Math Skills Maintenance Identifying Properties Identify the property shown by each equation. 1. 12(32) 12(8) 12(32 8) 2. 19 19 0 3. 1 (4 6) (4 6) 1 4. 97 (3 35) (97 3) 35 5. 0 (7 3) (7 3) 6. 7. 8 1 1 (8) 8. 0 (10 3) (10 3) 0 11. (13 9) 0 (13 9) 13. 2 7 # a 7 b 1 2 © Glencoe/McGraw-Hill # 4 1 5 10. (7 4) 6 6 (7 4) 12. 48(5) 48(15) 48(5 15) 14. (4 14) 1 (4 14) Skill 29 9. 20 (5 87) (20 5) 87 5 4 61 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 30 Math Skills Maintenance Using Properties Simplify each expression. Tell which property you used. 1. 8 38 2. 54 (6 49) 3. 22(13) 4. 1 (6 9) 5. 2 3 # 17 # 3 2 7. (29 75) 25 9. 0 (33 9) 6. 15(18) 15(2) 8. 10 63 90 10. 12 105 11. (87 5) 20 12. 21 77 21 13. 4 32 50 7 3 14. 8 a b a b 182 7 3 © Glencoe/McGraw-Hill 62 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 30 Math Skills Maintenance Using Properties Skill 30 Simplify each expression. Tell which property you used. 1. 43 (7 39) 2. 7(92) 3. (17 18) 1 4. 5. 24(16) 24(4) 6. 27 82 (27) 7. (57 85) 15 8. 20 49 80 9 10 # 18 # 10 9 10. 0 (15 6) 9. 12(103) 11. (98 4) 25 12. 36 125 36 13. a 14. 5 16 40 5 7 # 29b # 7 5 © Glencoe/McGraw-Hill 63 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 31 Math Skills Maintenance Measurement: The Customary System Complete the following sentences with the most reasonable unit of customary measure. 1. The height of a grown man is about six ? _________________. 2. The weight of a large bag of potato ? chips is about 1 _________________. 3. Milk is sold in containers that are ? usually 1 _________________. 4. A regulation basketball court has a ? length of 94 _________________. 5. The most common unit for measuring the distance between two cities is ? _________________. ? 6. A car might weigh 2 ________________. Choose the best estimate by circling the most appropriate unit in the parentheses. 7. The height of a typical house is 30 (feet, inches, yards). 9. A passenger plane flies at an elevation of about 30,000 (miles, yards, feet). 11. When he is lifting weights, Kenji can bench press 195 (pounds, tons, ounces). © Glencoe/McGraw-Hill 8. A large hamburger would weigh about 8 (pounds, ounces, tons). 10. A single scoop of ice cream is about 1 (quart, pint, cup). 12. For her large party, Mrs. Glover should have about 4 (ounces, pints, gallons) of punch. 64 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 31 Math Skills Maintenance Measurement: The Customary System ? 1. 72 inches ______________ feet ? 2. 4 gallons ______________ pints ? 3. 48 ounces ______________ pounds ? 4. 6 yards ______________ inches ? 5. 88 fluid ounces ______________ cups ? 6. 18 feet ______________ yards ? 7. 7 tons ______________ pounds ? 8. 40 pints ______________ quarts ? 9. 21,120 feet ______________ miles ? 10. 2 gallons ______________ fluid ounces ? 11. 78 inches ______________ feet ? 12. 12 cups ______________ gallons © Glencoe/McGraw-Hill 65 Math Skills Maintenance, Course 3 Skill Skill31 1 Complete. NAME ________________________________________ DATE ______________ PERIOD _____ 31 Math Skills Maintenance Measurement: The Customary System Choose the best estimate by circling the most appropriate unit in the parentheses. 1. The length between the bases of a baseball diamond is 90 (feet, inches, yards). 2. Ashley needs 2 (fluid ounces, pints, gallons) of paint to paint her bedroom. 3. One serving of french fries would be about 4 (pounds, ounces, quarts). 4. For track practice, Luis had to run 5 (miles, feet, inches). 5. Trent’s golden retriever weighs about 85 (ounces, tons, pounds). 6. Miko is about 67 (yards, inches, feet) tall. Complete. ? 7. 20 quarts ______________ gallons ? 9. 2 tons ______________ ounces ? 11. 1 mile ______________ inches © Glencoe/McGraw-Hill ? 8. 8 miles ______________ feet ? 10. 256 fluid ounces ______________ gallons ? 12. 48,000 ounces ______________ tons 66 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 32 Math Skills Maintenance Measurement: The Metric System 1. The amount of medicine in a hypodermic needle is measured in (L, mL, kL). 2. Danny races for his team in the 100 (cm, m, km) dash. 3. A professional football player might weigh 130 (mg, g, kg). 4. A common size for a bottle of soda is 2 (L, mL, kL). 5. There are about 2.5 (mm, cm, m) in one inch. 6. Olivia’s aquarium has a capacity of 200 (mL, L, kL). 7. An automobile on a highway would be traveling at about 100 (cm, m, km) per hour. 8. The amount of water in a reservoir would be measured with (mL, L, kL). 9. A typical doorway is about 2 (cm, m, km) tall. 11. The tip of a pen is about 1 (mm, cm, m) wide. © Glencoe/McGraw-Hill 10. The amount of medicine in a painreliever is measured in (mg, g, kg). 12. Nutritional information labels tell how many (mg, g, kg) of fat are in a food product. 67 Math Skills Maintenance, Course 3 Skill 32 Complete each sentence with the most reasonable metric unit of measure. NAME ________________________________________ DATE ______________ PERIOD _____ 32 Math Skills Maintenance Measurement: The Metric System Complete. ? 1. 5 m ______________ cm ? 2. 1,200 g ______________ kg ? 3. 750 mL ______________ L ? 4. 300 mm ______________ cm ? 5. 23 kL ______________ L ? 6. 62,500 mg ______________ g ? 7. 450 cm ______________ m ? 8. 1,100 L ______________ kL ? 9. 15 kg ______________ mg ? 10. 10,000 mL ______________ kL ? 11. 8,235 cm ______________ km ? 12. 320,000 mm ______________ km © Glencoe/McGraw-Hill 68 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 32 Math Skills Maintenance Measurement: The Metric System Complete each sentence with the most reasonable metric unit of measure. 2. When the weather is especially hot, it is a good idea to drink several (mL, L, kL) of water per day. 3. In chemistry class, Kendrick added 4 (g, kg, m) of that substance to his chemical solution. 4. Melinda added several (mL, L, kL) of lemon juice to the pitcher of iced tea. 5. When it is full of books, Casey’s backpack weighs over 15 (mg, g, kg). 6. Marta’s house is 15 (cm, m, km) wide. Skill 32 1. One of the basketball players is about 2 (mm, cm, m) tall. Complete. ? 7. 940 mg ______________ g ? 8. 85 L ______________ kL ? 9. 1.5 km ______________ m ? 10. 850 g ______________ kg ? 11. 21.2 kL ______________ mL © Glencoe/McGraw-Hill ? 12. 1,400 mm ______________ cm 69 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 33 Math Skills Maintenance Perimeter and Area of Rectangles Find the perimeter of each rectangle. 1. 2. 21 cm 40 in. 6 cm 3. 40 in. 4. 14 yd 28 cm 18 cm 7 yd Solve. 5. Find the perimeter of a rectangle that has a width of 48 kilometers and a length of 31 kilometers. 6. What is the perimeter of a square that has 18-inch sides? 7. A rectangle has a length of 70 inches and a width of 103 inches. Find the perimeter of the rectangle. 8. Find the perimeter of a rectangle that has a width of 33 feet and a length of 18 feet. 9. If the perimeter of this rectangle is 164 centimeters, what is its length? 10. The perimeter of a square is 22 inches. What is the length of each side? x cm 30 cm © Glencoe/McGraw-Hill 70 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 33 Math Skills Maintenance Perimeter and Area of Rectangles Find the area of each rectangle. 1. 2. 15 mm 25 in. 15 mm 16 in. 3. 4. 144 in. 1 12 2 yd 60 in. 4 yd 5. Find the area of a rectangle that has a length of 13 feet and a width of 9 feet. 6. What is the area of a rectangle that has a width of 140 millimeters and a length of 120 millimeters? 7. How long is one side of a square that has an area of 81 square meters? 8. Find the width of a rectangle that has a length of 20 centimeters and an area of 360 square centimeters. 9. Draw and label a rectangle that has a width of 6 feet and an area of 39 square feet. 10. The area of the rectangle is 42.5 square meters. Find the value of x. 5m xm © Glencoe/McGraw-Hill 71 Math Skills Maintenance, Course 3 Skill 34 Solve. NAME ________________________________________ DATE ______________ PERIOD _____ 33 Math Skills Maintenance Perimeter and Area of Rectangles Find the perimeter and area of each rectangle. 1. P ___________ A ___________ 2. P ___________ 27 mm A ___________ 2 ft 2 ft 18 mm Solve. 3. Find the perimeter and area of a rectangle that has a width of 7 meters and a length of 20 meters. 4. What is the perimeter and area of a rectangle that has a length of 12 inches 1 and a width of 10 inches? 2 5. If the area of this rectangle is 490 square meters, what is its perimeter? 35 m 6. Find the area of the rectangle if it has a perimeter of 31.4 meters. 12.5 m xm xm 7. Draw and label a rectangle that has a perimeter of 60 centimeters and an area of 200 square centimeters. 9. Which has the greater perimeter, a square with an area of 100 square millimeters or a rectangle with a width of 18 millimeters and an area of 90 square millimeters? © Glencoe/McGraw-Hill 8. Draw and label a square that has a perimeter of 72 inches and an area of 324 square inches. 10. Which has the greater area, a square with a perimeter of 100 inches or a rectangle with a width of 5 inches and a length of 120 inches? 72 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 34 Math Skills Maintenance Graphing Points on a Coordinate Plane Name the ordered pair for each point graphed. 1. 2. y y A D x O x O C B 3. 4. y E y G x O O x H F 5. 6. y y I J K x O x O L 7. 8. y y P x O M N 9. y O 10. S x y W O U x T © Glencoe/McGraw-Hill 73 Math Skills Maintenance, Course 3 Skill 34 Q x O NAME ________________________________________ DATE ______________ PERIOD _____ 34 Math Skills Maintenance Graphing Points on a Coordinate Plane Graph each ordered pair. 1. A(4, 3), B(2, 0) x O 3. E(0, 4), F(3, 2) 5. I(0, 0), J(3, 3) 7. M(0, 2), N(4, 4) 9. S(2, 2), T(3, 4) x O x y x O 10. U(0, 1), W(1, 0) y O y 8. P(3, 0), Q(1, 1) y x O x O y 6. K(1, 4), L(2, 4) y x O x O y 4. G(2, 3), H(2, 1) y O © Glencoe/McGraw-Hill 2. C(3, 1), D(4, 1) y x y O 74 x Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 34 Math Skills Maintenance Graphing Points on a Coordinate Plane Name the ordered pair for each point graphed. 1. 2. y y A D B x O x O C 3. y 4. F x O y H O x G E Graph each ordered pair. x O 7. M(2, 3), N(0, 0) 9. S(1, 4), T(4, 1) x O x y x O 10. U(2, 4), W(2, 4) y O y 8. P(2, 1), Q(0, 3) y O © Glencoe/McGraw-Hill 6. K(1, 1), L(4, 0) y x y O 75 x Math Skills Maintenance, Course 3 Skill 34 5. I(0, 3), J(2, 0) NAME ________________________________________ DATE ______________ PERIOD _____ 35 Math Skills Maintenance Displaying Data on Graphs For Exercises 1-6, use the table that shows how many students are in each teacher’s homeroom. Teacher Wilson Sanchez Brooks Ames Toshio Students 27 23 29 19 25 1. Describe the data presented in the table. 2. Make a bar graph using the data in the table. 3. How many total students are recorded in your bar graph? 4. What is the range of the data? 5. How many teachers have a homeroom with more than 20 students? 6. What percent of the homerooms have 25 or more students? For Exercises 7-10, use the table that shows the number of boys and girls in each homeroom. Teacher Wilson Sanchez Brooks Ames Toshio Boys 11 14 13 12 12 Girls 16 9 16 7 13 7. Describe the data presented in the table. 8. Make a double bar graph using the data in the table. 9. What is the range in the number of girls? 10. What percent of the homerooms have 13 or more boys? © Glencoe/McGraw-Hill 76 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 35 Math Skills Maintenance Displaying Data on Graphs For Exercises 1-6, use the table that shows how many victories Jeremy’s high school football team had each year. Year Victories 1998 1999 2000 2001 6 11 8 10 1. Describe the data presented in the table. 2. Make a line graph using the data in the table. 3. Between which two years did Jeremy’s team have the greatest increase in victories? 4. Between which two years did Jeremy’s team have the greatest decrease in victories? 5. How many total victories did Jeremy’s team have over his four years? 6. Based on the data shown in the line graph, predict how many victories the team will have in the year 2002. Explain. Year 1998 1999 2000 2001 Darnell’s Victories 7 9 10 9 Jeremy’s Victories 6 11 8 10 7. Describe the data presented in the table. 9. What is the difference in the total number of victories for the teams over the four years? © Glencoe/McGraw-Hill 8. Make a double line graph using the data for Darnell’s team and Jeremy’s team. 10. What percent of Darnell’s seasons had 9 or more victories? 77 Math Skills Maintenance, Course 3 Skill 35 For Exercises 7-10, use the table that shows how many victories Darnell and Jeremy’s football team had each year. NAME ________________________________________ DATE ______________ PERIOD _____ 35 Math Skills Maintenance Displaying Data on Graphs For Exercises 1-6, use the data below. {14, 11, 19, 6, 21, 8, 12, 17, 7, 18, 9, 11, 8, 7} 1. Write the stems that would be used for the stem-and-leaf plot of this data. 2. Make a stem-and-leaf plot using the data. 3. What is the range of the data? 4. What is the average (mean) of the data? 5. Which interval has the most data points? 6. Which interval has the fewest data points? For Exercises 7-10, use the data below. {23, 15, 39, 68, 57, 42, 51, 52, 41, 18, 29, 33, 30, 12} 7. Write the stems that would be used for the stem-and-leaf plot of this data. 9. Which interval has the most data points? © Glencoe/McGraw-Hill 8. Make a stem-and-leaf plot using the data. 10. Which interval has the fewest data points? 78 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 35 Math Skills Maintenance Displaying Data on Graphs Determine which type of graph is most appropriate for each set of data. Explain your choice. 1. average new car prices over a ten-year period 2. car prices for each of the top ten models for a given year For Exercises 3-6, use the data below. $1.40, $1.29, $1.32, $1.08, $1.44, $1.25, $1.15, $1.37, $1.33, $1.22 3. Describe a situation that this data could represent. 4. Display this data in a stem-and-leaf plot. 5. What is the range of the data? 6. Which interval has the most data points? For Exercises 7-8, use the data below. Candidate Rosa Alvin Angela Dylan Tamika Votes Won 103 79 95 100 98 8. Display this data with a graph. Skill 35 7. Describe a situation that this data could represent. © Glencoe/McGraw-Hill 79 Math Skills Maintenance, Course 3 NAME ________________________________________ DATE ______________ PERIOD _____ 35 Math Skills Maintenance Displaying Data on Graphs Determine which type of graph is most appropriate for each set of data. Explain your choice. 1. the prices of several types of athletic shoes 2. the values of two stocks compared over the period of several weeks For Exercises 3-6, use the table that shows the home runs hit by several players in the 2000 Major League Baseball season. Player Sosa Home Runs 50 Bonds Bagwell Glaus V. Guerrero Hildago 49 47 47 44 44 3. Which data display would be most appropriate for the data in the table? 4. Display this data with a graph. 5. What is the range of the data? 6. What is the average number of home runs for these six players? Round to the nearest tenth. For Exercises 7-8, use the table below. Day Price Monday Tuesday $1.27 $1.23 Wednesday Thursday $1.24 7. Describe a situation that this data could represent. © Glencoe/McGraw-Hill $1.31 Friday Saturday Sunday $1.34 $1.32 $1.30 8. Display this data with a graph. 80 Math Skills Maintenance, Course 3
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