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Student Name ________________ Score _______________________ CHAPTER TEST Chapter 2-A Fractions Indicate type of fraction: 1. 6 6 7 2. 4 7 3. 9 8 1. _____________ 2. _____________ 3. _____________ 4. Convert to a mixed number 120 7 4. _____________ 5. Convert to an improper fraction 1 8 4 5. _____________ 6. Calculate greatest common divisor by step approach and reduce to lowest terms 190 320 6. _____________ 7. Convert to higher terms 14 ? = 810 90 7. _____________ 8. Find LCD by using prime numbers (show work) 1 1 3 1 + + + 5 5 8 4 8. _____________ 9. Subtract 15 5 8 - 10 15 16 9. _____________ 10. Complete using cancelling technique 4 14 5 × × 8 26 7 10. ____________ 691 Chapter Test Chapter 2-A (continued) Fractions 1 18 × 8 19 11. 4 12. 4 ÷4 9 11. _____________ 12. _____________ 13. A trip to Boston from New York will take you 4 1 1 hours. If you traveled of the way, how 3 2 much longer will the trip take? 1 widgets each hour. If the machine 4 runs 18 hours, how many widgets will the machine produce? 14. Oak Ridge Corporation’s new machine produces 20 3 of the people preferred the taste of chicken A 5 over chicken B. If 17,500 people were in the survey, how many favored chicken A? How many chose chicken B? 15. A recent taste testing survey showed that 16. Rene Foss, an employee of Budget Rent-A-Car, worked 9 3 3 hours on Monday, 2 hours 4 4 1 1 hours on Wednesday, 7 hours on Thursday, and 9 hours on Friday. 2 4 How many total hours did Rene work during the week? on Tuesday, 7 17. GE offered a 1 rebate on its $40 coffee maker. What is the new selling price after the 5 rebate? 692 Student Name ________________ Score _______________________ Chapter 2-B Fractions Indicate type of fraction 1. 3 3 4 2. 5 6 3. 10 9 1. _____________ 2. _____________ 3. _____________ 4. Convert to a mixed number 113 6 4. _____________ 5. Convert to an improper fraction 1 9 8 5. _____________ 6. Calculate greatest common divisor by step approach and reduce to lowest terms 180 440 6. _____________ 7. Convert to higher terms ? 7 = 19 114 7. _____________ 8. Find LCD by using prime numbers (show work) 1 1 1 1 + + + 6 8 2 4 8. _____________ 9. Subtract 10. 14 3 8 - 10 9 16 9. _____________ Complete using cancelling technique 3 12 6 × × 9 18 4 10. ____________ 693 Chapter Test Chapter 2-B (continued) Fractions 1 27 × 9 28 11. 3 12. 5 ÷5 9 11. ____________ 12. ____________ 13. A trip to St. Paul from Chicago will take you 3 3 1 hours. Assuming you have traveled of 3 4 the way, how much longer will the trip take? 1 rolls of tape are made each hour on a new high-speed 4 machine. If the machine runs 12 hours, how many rolls of tape will be produced? 14. At Flynn Manufacturing 30 2 of all people preferred skinless chicken 3 over the regular chicken. If 2,400 people responded to the survey, how many preferred 15. At Kentucky Fried Chicken, a survey showed regular chicken? 16. At United Airlines, Pete Roy worked 8 3 1 1 hours on Monday, 4 hours on Tuesday, 9 4 2 4 1 hours on Thursday, and 7 hours on Friday. How many total 2 hours did Pete work during the week? hours on Wednesday, 10 3 of the original selling price off its laptop that was priced at 10 $1,000. What is the new selling price after the rebate? 17. Dell offered a rebate of 694 Student Name ________________ Score _______________________ CHAPTER TEST Chapter 2-C Fractions Part I Vocabulary Matchup 1. Cancellation A. Largest possible number. 2. Denominator B. No number except one divides evenly into numerator and denominator. 3. Fraction C. Expresses a part of a whole number. 4. Greatest common divisor D. Whole number and a proper fraction. 5. Higher terms E. Top of fraction. 6. Improper fraction F. Equivalent to the original. 7. Least common denominator (LCD) G. Numerator less than denominator. 8. Lowest terms H. Reducing process. 9. Mixed numbers I. Interchanging denominator and numerator. 10. Numerator J. Smallest whole number. 11. Prime numbers K. Numerator is equal to or greater than the denominator. 12. Proper fractions L. Number divisible by itself and one. 13. Reciprocal M. Bottom part of fraction Part II Drill Indicate type of fraction 14. 4 7 3 15. 6 7 16. 10 9 14. ____________ 15. ____________ 16. ____________ Convert to a mixed number 17. 89 6 17. ____________ Convert to an improper fraction 18. 14 1 8 19. For 18. ____________ 18 66 A. Find greatest common divisor and B. convert to lowest terms. For (A) use the step approach or the inspection method. 695 19. A. _________ B. __________ Chapter Test Chapter 2-C (continued) Fractions Convert to higher terms 8 96 = 9 ? 20. 20. _____________ Add (reduce to lowest terms) 21. 6 2 + 15 15 22. 1 5 + 7 14 21. _____________ 22. _____________ Find LCD by using prime numbers (show work) 23. 1 1 1 1 + + + 3 6 8 4 23. _____________ Subtract (reduce to lowest terms if necessary) 24. 13 1 7 - 5 5 21 24. _____________ Multiply (cancel as needed) 25. 11 6 3 × 6 8 7 25. _____________ Part III Word Problems 1 square feet. If Victor sets aside 2 6,930 square feet, how many cases of Cheerios can Victor store? 26. At Victor’s grocery each case of Cheerios takes up 3 27. On a plane trip to Hawaii, the baggage weight projected was 2,182 of all bags totaled 2,095 1 lbs. The actual weight 4 1 lbs. By how much was the projected weight overstated? 3 28. Acme Track Incorporated received 360 pairs of Nike running shoes. Each pair sells for $58. 1 Acme found of the pairs to be defective and returned them. Assuming each pair cost 9 Acme $26, what profit did Acme make, assuming all nondefective sneakers were sold? 29. Last year sales at Mel’s Cinema totaled $144,600. This year sales should increase by How much should sales increase by and what will sales be in the new year? 696 1 . 3 Student Name ________________ Score _______________________ CHAPTER TEST Chapter 2-D Fractions Indicate type of fraction 1. 3 1 8 2. 6 7 3. 12 11 1. ____________ 2. ____________ 3. ____________ Convert to a mixed number 88 4. 7 4. ____________ Convert to an improper fraction 1 5. 12 7 6. For A. B. 5. ____________ 90 320 Find greatest common divisor and convert to lowest terms. For (A) use the step approach or the inspection method. 6. A. __________ B. __________ Convert to higher terms 8 72 7. = 9 ? Add (reduce to lowest terms) 4 1 8. + 15 15 7. ____________ 9. 2 3 + 7 14 8. ____________ 9. ____________ Find LCD by using prime numbers (show work) 1 1 1 1 10. + + + 5 20 2 4 10. ____________ Subtract (reduce to lowest terms if necessary) 1 11. 12 8 - 9 2 3 11. ____________ Multiply (cancel as needed, express final answer as a mixed number) 3 1 12 × 7 12. 8 6 697 12. ____________ SOLUTIONS Test 2-A Fractions 1. Mixed 1 4. 17 7 6. 19 32 2. Proper ( 17 R 1 7 120 1 190 320 190 130 3. Improper ) 1 130 190 130 60 ( 324 1 ) 33 34 5. 6 10 60 60 0 2 60 130 120 10 190 10 19 = 32 320 10 7. 810 ÷ 90 = 9 × 14 = 126 8. 2 \4 2 \2 5 \1 1 5 5 5 1 5 5 5 1 8 4 2 2 2 × 2 × 5 × 1 × 1 × 1 × 2 = 40 9. 15 5 8 - 10 15 16 10. 15 10 16 = 14 26 16 = - 10 15 16 = - 10 15 16 4 11 16 = 1 2 ( 1016 + ) 16 16 11. 14 × 4 × 5 8 26 7 1 2 1 = 33 8 4 5 26 1 1 1 4 × = 9 4 9 1 12. 9 1 18 297 69 × = = 3 19 76 76 1 3 2 9 × = 3 hours 3 2 1 1 13. 9 14. 1 729 81 × 18 = = 364 widgets 2 2 4 2 15. A. B. 16. 9 3 3 1 9 1 2 + 2 + 7 + 7 + 9 = 34 = 36 hours 4 4 4 4 4 4 698 3 × 17,500 = 10,500 people 5 2 5 × 17,500 = 7,000 people Solutions to Chapter 2 Tests Test 2-A (continued) 4 × $40 = $32 5 17. Test 2-B 1. Mixed 4. 18 6. 9 22 5 6 2. Proper 18 R 5 ( 6 113 3. Improper ) 2 180 440 360 80 5. ( 73 8 72 1 8 ) 4 20 80 80 0 2 80 180 160 20 9 180 20 = 22 440 20 7. 114 ÷ 19 = 6 × 7 = 42 8. 2 \2 6 8 4 2 \1 3 4 2 1 3 2 1 2 × 2 × 1 × 3 × 2 × 1 = 24 9. 10. 14 3 8 - 10 9 16 = = - 10 1 3 12 × 9 3 1 12. 6 16 14 9 16 13 22 16 = - 10 9 16 3 13 16 = ( 16 6 + 16 16 11. 1 1 3 6 1 × = 18 3 4 1 3 ) 1 28 9 1 1 1 1 5 × = 9 5 9 1 13. 699 3 27 × =3 28 1 2 15 30 1 × = = 2 hours 3 4 12 2 Solutions to Chapter 2 Tests Test 2-B (continued) 3 1 121 30 × 12 = × 12 = 363 rolls of tape 4 4 1 14. 16. 8 15. 2 8 3 2 1 + 4 + 9 + 10 + 7 = 38 = 40 hours 4 4 4 4 4 1 3 × 2,400 = 800 7 × $1,000 = $700 10 17. Test 2-C 1. 2. 3. 4. H M C A 5. 6. 7. 8. 17. = 14 14 R 5 6 89 6 29 24 5 F K J B 9. 10. 11. 12. 5 6 3 18 66 54 12 19. 13. 14. 15. 16. 22. 8 15 2 6 12 12 0 25. 18 6 3 66 6 11 26. 24 21 5 5 21 12 = - 2 14 5 14 7 1 14 2 13 91 × 8 1 19 21 6 78 48 = = 78 7 1 1 6,930 ÷ 3 1 2 7 2 2 6,930 × = 1,980 cases 7 1 3 15 2,182 = 2,182 = 2,181 4 12 12 1 4 4 - 2,095 = - 2,095 = - 2,095 3 12 12 11 86 lbs. 12 6,930 ÷ 27. 1 7 5 + 14 = 7 20. 9 × 12 = 108 21. 3 21 5 5 21 13 - 1 12 18 12 6 I Mixed Proper Improper 24. 113 14 × 8 = 112 + 1 = 8 18. D E L G 28. 8 × 360 = 320 × $58 = $18,560 9 = 320 × $26 = 23. 2 \8 4 3 6 2 \4 2 3 3 3 \2 1 3 3 2 1 1 1 29. $144,600 x 2 × 2 × 3 × 2 = 24 1 3 $144,600 + $48,200 700 8,320 $10,240 = $ 48,200 = $192,800 Solutions to Chapter 2 Tests Test 2-D 1. Mixed 7. 2. Proper 8. 3. Improper 9. 4. 12 5. 85 7 6. 10 9 32 A B 4 7 72 81 1 3 1 2 10. 20 11. 2 12. 11 24 11 88 16 Worked Out Solutions to Test 2-D 6. 9 90 10 = 32 320 10 7. 8 72 9 81 8. 5 1 = 15 3 9. 4 3 7 1 14 14 14 2 10. 11. 2 \2 2 \1 5 \1 1 5 5 5 1 3 24 16 - 9 24 12 3 90 320 270 50 1 50 90 50 40 The 81 is 9 × 9 since 9 × 8 = 72 4 20 2 10 1 5 1 1 2 × 2 × 5 = 20 27 24 16 - 9 24 11 2 24 11 33 1,419 11 43 99 12. × = = 88 16 1`6 6 8 2 701 1 40 50 40 10 4 10 40 40