4/11 MATH 012 UNIT 3 HOMEWORK ASSIGNMENTS General Instructions Do ALL your homework in your notebook. Be sure to label each question. Be sure to read the directions very carefully, since you are often asked to do more than one thing in a problem. Be sure to write out all your work, since method is as important as getting the correct answer. The answers to the odd-numbered problems are in the back of the book, beginning on page A10. The answers to the even–numbered problems and the extra questions in this handout are all included at the end of this handout. If you have difficulty with a problem, mark the problem and write a note in the margin about your difficulty. In this way, when you go over homework in class, you can be ready with your questions. ************************************************************************ CHAPTER 8 Section 8.1 – Ratios A. Text: Read page 492 – 496. B. Exercises 8.1, page 497 – 500: 1–4 all, 7, 8, 9, 11, 12, 13, 17, 21, 23, 25, 29, 31, 33, 41, 43, 47, 49, 51, 55, 57, 67, 71, 77, 81, 85, 89. Check answers. C. Additional Problems: Simplify each ratio as a ratio of whole numbers. 1. 8.4 : 2.1 1 2 1 :2 2. 6 3 1 0.2 : 4 3. 3 1 :2 4. 16 4 D. Read and take notes (RTN) on section 8.2 in preparation for next class. ************************************************************************ 1 4/11 Section 8.2, Day 1 – Proportions A. Text: Read page 501 – 504. B. Exercises 8.2, page 507 – 510: 1–4 all, 7, 9, 11 43 odd, 73, 74, 75, 77. Check answers. ************************************************************************ Section 8.2, Day 2 – Proportions A. Text: Read page 505 – 506. B. Exercises 8.2, page 507 – 510: 45, 47, 51, 53, 55, 57, 59. Check answers. C. Additional Problems. Set up a proportion and solve. Round to nearest whole number. 1. The exchange rate for the Euro (EUR) to the dollar in the fall of 2007 was 1EUR = $1.44679. If a hotel room in Paris costs $250, how many Euros is this? 2. The exchange rate for the Canadian dollar (CAD) to the U.S. dollar in the fall of 2007 was $0.9416 CAD = $1. Mary Sue spent $42 CAD on souvenirs, how much is this in U.S. dollars. 3. Mic Dundee is from Australia and is visiting London. He exchanged some Australian dollars (AUD) for 200 British pounds (GBP) at the exchange rate of 2.24107 AUD = 1 GBP. How Australian currency did he exchange? D. Read and take notes (RTN) on section 8.3 in preparation for next class. Section 8.3 – American Units of Measurement A. Text: Read page 510 – 517. B. Exercises 8.3, page 517 – 520: 1–6 all, 7 – 19 all, 23–26 all, 27, 29, 31, 33, 37, 41, 43, 45, 47, 53, 55, 63, 67, 69, 75, 77, 79, 81, 93 100 all. Check answers. C. Read and take notes (RTN) on section 8.4 in preparation for next class. Section 8.4 – Metric Units of Measurement A. Text: Read page 520 –527. B. Exercises 8.4, page 528 – 531: 9, 11, 13, 14, 15, 19, 20, 21, 23, 24, 25, 26, 33, 43, 51, 55, 57, 63, 67, 73, 75, 77, 79, 81, 83, 87, 93. Check answers. 2 4/11 C. Read and take notes (RTN) on section 8.5 in preparation for next class. Section 8.5 – Converting Between American and Metric Units A. Text: Read page 532 – 536. B. Exercises 8.5, page 537 – 539: 1, 2, 3, 5, 11, 17, 23, 27, 31, 33, 37, 43, 47, 49, 53, 55, 57, 60 – 64 all, 69 72 all. Check answers. C. Key Concept, page 540: 1-4 all Check answers. D. Chapter 8 Test, page 547 – 548: 1-4 all, 9-17 all, 21, 22, 23. Check answers. E. Read and take notes (RTN) on section 9.5 (pages 584 to 590) and 9.6 (pages 596 to 599) in preparation for next class. *********************************************************************** CHAPTER 9 Section 9.5 – Perimeters and Areas of Polygons Section 9.6 Day 1 – Circles A. Text: Read page 584 – 590. B. Exercises 9.5, page 591 – 595: 1–6 all, 15, 16, 18, 19, 20, 21, 23, 27, 33, 34, 37, 38, 43, 45, 49, 53, 55, 59. Check answers. C. Additional Problems. 1. The area of a rectangle is 125 m2. The length of one side is 10m. Find the width of the rectangle. Then determine the perimeter of the rectangle. 2. The perimeter of a rectangle is 255 ft. The width is 25ft. Find the length of the rectangle. Then determine the area of the rectangle. 3. The perimeter of a square is 86 yds. Find the length of each side of the square. Then determine the area of the square. D. Text: Read page 596 – 599. E. Exercises 9.6, page 600 –603: answers. 1, 3, 7, 8, 15, 16, 29, 31, 33, 37, 38. Check 3 4/11 F. Additional Problems 1. Jermael wishes to carpet his rectangular living room with carpet that sells for $2.99 per square foot. The living room measures 10ft by 17ft. How much will it cost Jermael to carpet his living room. 2. The area of a circle is 29 in2. Determine the radius. Round to the nearest hundredth of an inch. G. Read and take notes (RTN) on section 9.7 (pages 603 to 606) in preparation for next class. Section 9.6, Day 2 – Circles Section 9.7 –Volume A. Text: Read page 603 – 606. B. Exercises 9.6, page 602: 43, 49, 51. Exercises 9.7, page 611 – 614: 1–4 all, 11, 23, 27, 29, 30, 51. Check answers. C. Key Concept, page 615: 1-12 all. Check answers. D. Additional Problems 1. Rob has a circular garden with a radius of 8 ft. Rabbits are eating his lettuce. Fencing for the garden costs $4.99 per ft. The fencing is only sold by the whole foot. How much would it cost him to fence in his garden? 2. A rectangular solid has a volume of 4720 cm3 . The length of the solid is 12cm and the width of the solid is 10 cm. Determine the height of the solid. Round to nearest tenth of a centimeter. 3. A rectangular swimming pool has dimensions 8ft by 10ft by 20ft. Each cubic foot of water weighs approx 4 lbs. Determine the weight of water in the swimming pool. E. Chapter 9 Test, page 625 – 626: 29, 30, 33, 34. Check answers. 4 4/11 ANSWERS Section 8.1 2. 4. 8. 12. rate unit Divide out the common unit of inches miles per hour, miles/hour , mph Section 8.1 Part C 1. 4:1 2. 7:16 3. 4:5 4. 1:12 20. 1,000 24. 1 26. 1 Section 8.5 Part B 2. length, capacity Section 8.2 Day 1 60. 63 degrees and 82 degrees 62. 10 ˚ C = 50˚F 64. 30˚C = 86˚F 70. 8x – 5y + 5 72. –t + 12 2. extremes and means 4. proportional 74. 87.5% Part C 2. 375 4. $1,152 Section 8.2 Day 2 Part C 1. 173 Euros 2. $45 3. 448 AUD Section 8.3 2. 4. 6. 8. 10. 12. 14. 16. 18. 24. length weight time 3 36 2000 2 1 120 a. ii b. iii c. i 26. a. ii b. iv c. iii d. i 94. 3670 96. 3673.3 98. 0.10 100. 0 Section 8.4 14. a. b. c. i ii iii Section 9.5 2. linear 4. square 6. altitude 16. P = 2w + 2l 2 18. 1 m 20. A = LW 34. 15in2 38. 27/2 sq.cm. Section 9.5 – Part C 1. 2. 3. W = 12.5 m W = 102.5 ft S = 21.5 yds P = 45m A = 2562.5ft2 A = 462.25yds2 Section 9.6 Day 1 8. area 16. Divide the diameter by 2 38. 113.1ft2 Section 9.6 Day 1 Part F 1. 2. $508.30 3.04 in Section 9.6 Day2/ Section 9.7 Part A 2. rectangular 4. cubic 30. 400m3 5 4/11 12. Part C page 615 2. s = p - d 4 I = Prt 6. 4,992in3 8. $4,300 10. 15oC Type of coin Penny Nickel Dime Quarter Number 15 n d q Value 1 5 10 25 Total Value 15 5n 10d 25q Part D 1. $254.49 2. 39.3 cm 3. 6400 lbs 2