MSM07G7_MC_Ch05_088_089 3/10/06 9:32 AM Page 88 impos06 408:6457a:quark:chapter 05: Name CHAPTER 5 Date Class Multiple Choice Test A Choose the best answer. 8. Cassie draws a line through the points (1, 2) and (4, 3). What is the slope of this line? 1. Julie’s school has 36 sixth-graders and 48 seventh-graders. What is the ratio of sixth-graders to seventhgraders? A 4:3 C 12 to 3 B 3:4 D 2 to 3 1 A 3 B 3 9. Find an equivalent ratio. 3:10 A 1 to 3 C 6:13 B 9 to 30 D 12:48 2. Roger is 60 inches tall. Tony is 64 inches tall. What is the ratio of Roger’s height to Tony’s height? A 4 to 5 C 30:37 B 5 to 6 D 15:16 10. Find an equivalent ratio. 8:6 A 4 to 3 C 16 to 9 B 2:1 D 10:8 3. Lucy has 18 trading cards. Georgia has 9 cards. Rachael has 12 cards. What is the ratio of Georgia’s cards to Lucy’s cards? A 1 to 2 B 2:3 11. Solve for x. 10 40 5 x A 20 B 200 4. A popular juice drink costs $2.40 for six drinks. What is the unit cost of one drink? A $0.40 B $14.40 12. Solve for x. 5. 16 oz of trail mix costs $3.20. What is the cost per ounce? A $0.02 C $0.20 B $0.16 D $0.40 13. Terry drove 366 miles in 6 hours at a constant speed. How long would it take him to drive 427 miles at the same speed? A 3 hours C 7 hours B 6.5 hours D 61 hours x 24 2 3 A 16 6. Miho drove 270 miles in 4.5 hours. What is her average rate of speed? A 45 mph C 60 mph B 50 mph D 67.5 mph 14. How many miles are in 21,120 feet? A 4 C 12 B 8 D 5,280 7. Ellen draws a line through the points (2, 5) and (0, 9). What is the slope of this line? 1 A 2 Copyright © by Holt, Rinehart and Winston. All rights reserved. B 36 15. Which measure is the same as 6 gallons? A 12 pints B 24 quarts B 2 16. How many pounds are in 128 ounces? A 8 B 16 88 Holt Mathematics MSM07G7_MC_Ch05_088_089 3/10/06 9:32 AM Page 89 impos06 408:6457a:quark:chapter 05: Name CHAPTER 5 Date Multiple Choice Test A, continued 19. The two triangles are similar. Find x. 17. Which set of angles could be the angles of the quadrilateral shown below? 9 10 A x1 10 90°, 180°, 90°, 180° 30°, 150°, 30°, 150° 30°, 30°, 30°, 30° 150°, 150°, 150°, 150° 18. Which set of side lengths for triangles is similar to the triangle shown below? B x 27 1 , the height of a building is 50 6 inches. How tall is the actual building? A 25 feet B 300 feet 22. On a scale drawing with a scale of 1 in. 5 ft, a tree is 5 in. tall. How tall is the actual tree? A 25 in. C 25 ft B 10 ft D 30 ft 5 Copyright © by Holt, Rinehart and Winston. All rights reserved. x 3 21. On a scale drawing with a scale of 5 A 8, 8, 8 B 4, 8, 10 3 20. A building with a height of 40 m casts a shadow that is 30 m long. A statue next to the building casts a shadow that is 6 m long. How tall is the statue? A 8m C 2m B 5m D 1.5 m 10 5 3 9 10 A B C D Class C 5, 5, 9 D 3, 4, 5 89 Holt Mathematics MSM07G7_MC_Ch05_090_091 3/10/06 9:32 AM Page 90 impos06 408:6457a:quark:chapter 05: Name CHAPTER 5 Date Class Multiple Choice Test B 7. What is the slope of a line that passes through points (3, 5) and (2, 8)? Choose the best answer. 1. Jared’s school has 56 sixth-graders and 70 seventh-graders. What is the ratio of sixth-graders to seventh-graders? C 7 to 6 A 4:5 B 6:7 D 5 to 4 1 B 3 D 3 8. What is the slope of a line that passes through points (2, 1) and (2, 4)? 2. Melissa is 64 inches tall. Mark is 72 inches tall. What is the ratio of Mark’s height to Melissa’s height? F 8 to 7 H 16 : 18 J 8:9 G 9 to 8 F undefined 3 H 4 5 G 4 J 0 9. Find a ratio equivalent to 15 : 7. A 30 to 21 C 60 : 28 3. Harry has 24 trading cards. Lars has 16. Greg has 15. What is the ratio of Greg’s cards to Harry’s cards? A 8 to 5 C 2:3 B 3 to 2 D 5:8 B 60 to 35 D 45 : 14 10. Find a ratio equivalent to 12 : 9. F 6 to 4 H 4 to 3 G 24 : 16 J 6:5 4. A sports food bar costs $8.10 for six bars. What is the unit cost? H $8.04 F $1.35 G $2.10 J $48.60 16 20 18 45 11. Solve for x. 18 x A 5760 C 22 D 14.4 B 22.5 5. 54 oz of baker’s chocolate costs $9.72. What is the cost per ounce? C $4.32 A $0.18 B $1.80 D $524.88 12. Solve for x. 12 x H 300 F 30 G 67.5 J 9,720 6. Rez drove 258.5 miles in 5.5 hours. What is his average rate of speed? F 43 mph H 52 mph J 53 mph G 47 mph Copyright © by Holt, Rinehart and Winston. All rights reserved. 1 C 3 A 3 13. Jamal drove 166.8 miles in 3 hours. How long would it take him to drive 389.2 miles at the same rate? A 2.33 hours C 7 hours B 4 hours D 55.6 hours 90 Holt Mathematics MSM07G7_MC_Ch05_090_091 3/10/06 9:32 AM Page 91 impos06 408:6457a:quark:chapter 05: Name CHAPTER 5 Date Class Multiple Choice Test B, continued 19. The two triangles are similar. Find x. 14. How many miles are in 36,960 feet? F 443,520 H 21 G 12,320 J 7 10 8 15. Which measure is the same as 15 gallons? C 30 quarts A 120 pints B 480 cups D 60 pints 6 A x 20 B x 19 16. How many pounds are in 296 ounces? F 4,736 H 18.5 G 37 J 9.25 x 15 25 C r 16 D r 15 20. A building with a height of 32 m casts a shadow that is 20 m long. A person standing next to the building casts a shadow that is 1.2 m long. How tall is the person? F 0.75 m H 1.92 m G 1.6 m J 2.8 m 17. Which set of angles for quadrilaterals could be similar to the quadrilateral shown below? 13 45⬚ 135⬚ 13 135⬚ 45⬚ 21. On a scale drawing with a scale of 13 1 , the height of a building is 80 13 A B C D 9.75 inches. How tall is the actual building? C 780 feet A 65 feet B 80 feet D 9,360 feet 60, 60, 60, 60 90, 45, 90, 135 90, 90, 90, 90 135, 45, 135, 45 22. On a scale drawing with a scale of 1 cm 0.75 m, the height of a tree is 6.5 cm. How tall is the actual tree? F 487.5 m H 8.67 m G 10 m J 4,875 m 18. Which set of side lengths is for a triangle similar to the triangle shown below? 8 8 5 F 16, 16, 8 G 10, 10, 6.25 Copyright © by Holt, Rinehart and Winston. All rights reserved. H 9, 9, 6 J 4, 4, 2 91 Holt Mathematics MSM07G7_MC_Ch05_092_093 3/10/06 9:33 AM Page 92 impos06 408:6457a:quark:chapter 05: Name CHAPTER 5 Date Class Multiple Choice Test C 7. Adam draws a line through the points (4, 1) and (6, 7). What is the slope of this line? Choose the best answer. 1. Heather’s school has 45 sixthgraders and 63 seventh-graders. What is the ratio of sixth-graders to seventh-graders? A 5:8 C 5 to 7 B 4:5 D 6 to 7 A 3 1 B 3 D 3 8. Matt draws a line through the points (7, 3) and (5, 1). What is the slope of this line? 2. Rich is 56 in. tall, Rez is 62 in. tall, and Jesse is 76 in. tall. What is the ratio of Rich’s height to Jesse’s height? F 5 to 7 H 9:8 G 9 to 7 J 14:19 F 2 G 1 1 H 3 J 4 9. Find an equivalent ratio. 14 to 3 A 42 to 12 C 28:7 B 7 to 2 D 56:12 3. Lara has 51 trading cards. Selena has 22 cards. Marcus has 27 cards. What is the ratio of Lara’s cards to Marcus’s cards? A 7 to 8 C 14:8 B 17 to 9 D 26:28 10. Find an equivalent ratio. 24:9 F 6 to 2 H 36 to 13.5 G 5:12 J 6:5 4. A popular sports food bar costs $7.65 for nine bars. What is the unit cost of one bar? F $0.64 H $0.95 G $0.85 J $1.28 11. Solve for x. 18.1 137.56 3.2 x A 0.9 B 10 5. 84 oz of high quality baker’s chocolate costs $10.92. What is the cost per ounce? A $0.13 C $1.30 B $0.31 D $1.80 C 24.32 D 180 12. Solve for x. x 0.25 0.28 0.04 F 0.07 G 1.75 6. Jeff drove 465.75 miles in 7.5 hours. What is his average rate of speed? F 52 mph H 60 mph G 57 mph J 62.1 mph Copyright © by Holt, Rinehart and Winston. All rights reserved. 1 C 3 H 7 J 175 13. Willis drove 239.82 miles in 4.2 hours at a constant speed. How long would it take him to drive 445.38 miles at the same speed? A 4.2 hours C 7.8 hours B 7.2 hours D 57 hours 92 Holt Mathematics MSM07G7_MC_Ch05_092_093 3/10/06 9:33 AM Page 93 impos06 408:6457a:quark:chapter 05: Name Date CHAPTER 5 Multiple Choice Test C, continued 19. The two triangles are similar. Find x. 14. How many miles are in 38,544 feet? F 7 H 22.5 G 7.3 J 5,280 31.92 15. Which measure is the same as 9.5 gallons? A 152 pints C 36 quarts B 76 pints D 144 cups 11.4 25.48 9.1 13.8 A x4 B x 38.64 16. How many pounds are in 62 ounces? F 3.5 H 7 G 3.875 J 16 x C x 40 D x 57.14 20. A building with a height of 74 m casts a shadow that is 37 m long. A person standing next to the building casts a shadow that is 0.8 m long. How tall is the person? F 0.4 m H 1.6 m G 1.0 m J 2.0 m 17. Which set of angles could be the angles of the quadrilateral shown below? 10 21. On a scale drawing with a scale of 10 10 1 , the height of a building is 64 7.8 inches. How tall is the actual building? A 41.6 feet C 416 feet B 64 feet D 499.2 feet 10 A B C D Class 75°, 105°, 75°, 105° 75°, 45°, 90°, 135° 90°, 120°, 90°, 120° 140°, 40°, 140°, 40° 22. On a scale drawing with a scale of 1 cm 2.5 m, the height of a tree is 8.4 cm. How tall is the actual tree? F 10.9 m H 21 m G 16.8 m J 25.2 m 18. Which set of side lengths for triangles is similar to the triangle shown below? 10.25 8.2 6.15 F 10, 16, 18 G 12, 16, 20 Copyright © by Holt, Rinehart and Winston. All rights reserved. H 7, 7, 7 J 6, 7, 8 93 Holt Mathematics MSM07G7_FREERES_Ch05_094_095 3/10/06 9:30 AM Page 94 impos06 408:6457a:quark:chapter 05: Name CHAPTER 5 Date Class Free Response Test A 1. Harold’s school has 52 sixth-graders and 39 seventh-graders. What is the ratio of sixth-graders to seventhgraders? 8. Jared draws a line through the points (3, 5) and (1, 3). What is the slope of this line? 9. Find an equivalent ratio. 12:10 2. Kelly is 66 inches tall. Lucas is 72 inches tall. What is the ratio of Lucas’s height to Kelly’s height? 10. Find an equivalent ratio. 14:5 3. Ursula has 32 trading cards. Nathan has 26 cards. Laura has 28 cards. What is the ratio of Laura’s cards to Ursula’s cards? 11. Solve for x. 4. A box of snack packs costs $7.20 for 8 packs. What is the unit cost of one pack? x 6 12 24 12. Solve for x. 5. 70 oz of dried cranberries costs $5.60. What is the cost per ounce? 20 4 x 9 6. Teresa drove 440 miles in 8 hours. What is her average rate of speed? 13. Christy drove 270 miles in 6 hours at a constant speed. How long would it take her to drive 405 miles at the same speed? 7. Lewis draws a line through the points (1, 4) and (2, 6). What is the slope of this line? 14. How many miles are in 42,240 feet? 15. How many pints are in 10 gallons? Copyright © by Holt, Rinehart and Winston. All rights reserved. 94 Holt Mathematics MSM07G7_FREERES_Ch05_094_095 3/10/06 9:30 AM Page 95 impos06 408:6457a:quark:chapter 05: Name CHAPTER 5 Date Class Free Response Test A, continued 16. How many pounds are in 112 ounces? 19. The two triangles are similar. Find x. 17. Write a set of angles for a quadrilateral that could be similar to the quadrilateral shown below. 24 12 x 15 13 26 8 20. A building with a height of 40 ft casts a shadow that is 16 ft long. A person standing next to the building casts a shadow that is 2 ft long. How tall is the person? 12 18. Write a set of side lengths for a triangle similar to the triangle shown below. 21. On a scale drawing with a scale of 1 , the height of a building is 120 6 8 inches. How tall is the actual building in feet? 6 10 Copyright © by Holt, Rinehart and Winston. All rights reserved. 22. On a scale drawing with a scale of 1 cm 3 m, the height of a tree is 5 cm. How tall is the actual tree? 95 Holt Mathematics MSM07G7_FR_Ch05_096 6/3/06 11:34 PM Page 96 epg DATA-DISK:Tempwork:June06:03\06:HOLT_Reprint:Corce2:Ch01-12:chapter 05: Name CHAPTER 5 Date Class Free Response Test B 1. Dierdre’s school has 72 sixth-graders and 54 seventh-graders. What is the ratio of sixth-graders to seventh-graders? 8. Jamal draws a line through the points (3, 4) and (2, 5). What is the slope of this line? 9. Find an equivalent ratio. 17:5 2. Frank is 70 inches tall. Rachael is 42 inches tall. What is the ratio of Frank’s height to Rachael’s height? 10. Find an equivalent ratio. 7:13 3. Lavani has 32 trading cards. Niles has 24 cards. Petra has 20 cards. What is the ratio of Lavani’s cards to Petra’s cards? 11. Solve for x. 4. A popular juice drink costs $11.75 for five juices. What is the unit cost of one juice? 18 24 21 x 12. Solve for x. 5. 36 oz of flour costs $4.32. What is the cost per ounce? 8 36 18 x 13. Nathan drove 262 miles in 5 hours at a constant speed. How long would it take him to drive 377.28 miles at the same speed? 6. Cassandra drove 370.5 miles in 6.5 hours. How many miles per hour did she drive? 14. How many yards are in 144 inches? 7. Henry draws a line through the points (2, 6) and (3, 2). What is the slope of this line? 15. How many pints are in 12 gallons? Copyright © by Holt, Rinehart and Winston. All rights reserved. 96 Holt Mathematics MSM07G7_FREERES_Ch05_096_097 3/10/06 9:31 AM Page 97 impos06 408:6457a:quark:chapter 05: Name Date CHAPTER Free Response 5 Test B, continued 16. How many tons are in 160,000 ounces? Class 19. The two triangles are similar. Find x. 7 17. Write a set of side lengths for a quadrilateral that could be similar to the quadrilateral shown below. 8 35 x 5 25 12 7 7 20. A building with a height of 48 m casts a shadow that is 30 m long. A person standing next to the building casts a shadow that is 0.8 m long. How tall is the person? 12 21. On a scale drawing with a scale of 18. Write a set of side lengths for a triangle that could be similar to the triangle shown below. 1 , the height of a building is 50 12.6 inches. How tall is the actual building? 9 9 22. On a scale drawing with a scale of 1 cm 0.9 m, the height of a tree is 1.2 cm. How tall is the actual tree? 7 Copyright © by Holt, Rinehart and Winston. All rights reserved. 97 Holt Mathematics MSM07G7_FREERES_Ch05_098_099 3/10/06 9:31 AM Page 98 impos06 408:6457a:quark:chapter 05: Name CHAPTER 5 Date Class Free Response Test C 1. Melinda’s school has 68 sixth-graders and 84 seventh-graders. What is the ratio of sixth-graders to seventhgraders? 8. Raymond draws a line through the points (4, 1) and (7, 1). What is the slope of this line? 9. Find an equivalent ratio. 9 to 7 2. Georgia is 57 in. tall, Bradley is 76 in. tall, and Berel is 58 in. tall. What is the ratio of Bradley’s height to Georgia’s height? 10. Find an equivalent ratio. 11 to 19 3. Mai has 56 trading cards. Denise has 27 cards. Michael has 49 cards. What is the ratio of Michael’s cards to Mai’s cards? 11. Solve for x. x 12.6 9.3 39.06 4. A box of juice drinks costs $8.16 for 12 drinks. What is the unit cost of one drink? 12. Solve for x. 5 11 20 x 5. 48 oz of trail mix costs $8.16. What is the cost per ounce? 13. Saul drove 338.25 miles in 5.5 hours at a constant speed. How long would it take him to drive 565.8 miles at the same speed? 6. Alice drove 383.5 miles in 6.5 hours. What is her average rate of speed? 7. Rich draws a line through the points (3, 4) and (3, 2). What is the slope of this line? 14. How many miles are in 38,016 feet? 15. How many pints are in 5.7 gallons? 16. How many pounds are in 134 ounces? Copyright © by Holt, Rinehart and Winston. All rights reserved. 98 Holt Mathematics MSM07G7_FREERES_Ch05_098_099 3/10/06 9:31 AM Page 99 impos06 408:6457a:quark:chapter 05: Name Date CHAPTER Free Response 5 Test C, continued 17. Write a set of angles for a quadrilateral that could be similar to the quadrilateral shown below. 130° Class 19. The two triangles are similar. Find x. 50° 42 x 21 15 50° 130° 18 36 20. A building with a height of 75 m casts a shadow that is 45 m long. A person standing next to the building casts a shadow that is 0.8 m long. How tall is the person? 18. Write a set of side lengths for a triangle that could be similar to the triangle shown below. 21. On a scale drawing with a scale of 1 , the height of a building is 92 12 7.4 inches. How tall is the actual building in feet? 12 22. On a scale drawing with a scale of 1 cm 6.5 m, the height of a tree is 9.2 cm. How tall is the actual tree? 5 Copyright © by Holt, Rinehart and Winston. All rights reserved. 99 Holt Mathematics MSM07G7_ANSKEY_251_284 6/4/06 3:51 AM Page 263 epg DATA-DISK:Tempwork:June06:03\06:HOLT_Reprint:Corce2:Ch01-12:AnswerKey: Answer Key 18. F 3. B 19. B 4. F 20. F 5. A 21. C 6. G 22. H 7. C 23. B Chapter 5 Multiple Choice Test A 24. F 1. B 25. C 2. D 26. J 3. A 27. B 4. A 28. F 5. C 29. C 6. C 30. F 7. B 31. A 8. A 32. H 9. B 33. B 10. A 34. H 11. A 35. C 12. A 36. H 13. C 37. A 14. A 38. H 15. B 39. C 16. A 40. J 17. B 41. D 18. A 42. G 19. A 43. A 20. A Chapter 5 21. A Chapter 5 Quiz Section A 22. C Chapter 5 Multiple Choice Test B 1. B 2. H 1. A 3. C 2. G 4. B 3. D 5. D 4. F 6. F 5. A 7. C 6. G 7. A Chapter 5 Quiz Section B 8. H 1. B 9. C 2. G Copyright © by Holt, Rinehart and Winston. All rights reserved. 263 Holt Mathematics MSM07G7_ANSKEY_251_284 6/4/06 3:51 AM Page 264 epg DATA-DISK:Tempwork:June06:03\06:HOLT_Reprint:Corce2:Ch01-12:AnswerKey: Answer Key 10. H 2. 12:11 11. B 3. 7:8 12. F 4. $0.90 13. C 5. $0.08 14. J 6. 55 miles per hour 15. A 7. 2 16. H 8. 1 17. D 9. Answers will vary. Possible answer: 6:5. 19. A 10. Answers will vary. Possible answer: 28:10. 20. H 11. x 3 21. A 12. x 45 22. J 13. 9 hours 18. G 14. 8 miles Chapter 5 Multiple Choice Test C 15. 80 pints 1. C 16. 7 pounds 2. J 17. 90°, 90°, 90°, 90° 3. B 4. G 18. Answers will vary. Possible answer: 12, 12, 20 5. A 19. x 30 6. J 20. 5 feet 7. A 21. 80 feet 8. F 22. 15 m 9. D Chapter 5 Free Response Test B 10. H 1. 4:3 11. C 2. 5:3 12. G 3. 8:5 13. C 4. $2.35 14. G 5. $0.12 15. B 6. 57 miles per hour 16. G 7. 4 17. A 1 8. 5 18. G 9. Answers will vary. Possible answer: 34:10. 19. B 20. H 10. Answers will vary. Possible answer: 14:26. 21. A 22. H 11. 28 Chapter 5 Free Response Test A 12. 81 1. 4:3 Copyright © by Holt, Rinehart and Winston. All rights reserved. 13. 7.2 hours 264 Holt Mathematics MSM07G7_ANSKEY_251_284 6/4/06 3:51 AM Page 265 epg DATA-DISK:Tempwork:June06:03\06:HOLT_Reprint:Corce2:Ch01-12:AnswerKey: Answer Key 14. 4 yards 2. Albuquerque 15. 96 points Oklahoma City Amarillo Rt 27 16. 5 tons Rt 44 Key: 1 in. = 100 mi 17. Answers will vary. Possible answer: 14, 24, 14, 24. Lubbock Rt 82 Wichita Falls 3. Possible answer: I looked at all the distances to see which was the greatest. I chose a scale that would make my map no wider than 6 inches. 18. Answers will vary. Possible answer: 18, 18, 14. 19. 40 4. Possible answer: If I drive at 50 mi/h, how log will it take to get from Amarillo to Lubbock?; about 2.6 hours 20. 1.28 m 21. 630 inches or 52.5 feet 22. 1.08 m or 108 m 5. constant Chapter 5 Free Response Test C 6. 50 mi/h 1. 17:21 Chapter 5 Cumulative Test 2. 4:3 1. C 3. 7:8 2. G 4. $0.68 3. D 5. $0.17 4. F 6. 59 miles per hour 5. C 7. 1 6. H 8. 0 7. C 9. Answers will vary. Possible answer: 18:14 8. J 9. C 10. Answers will vary. Possible answer: 22: 38 10. F 11. x 3 11. B 12. x 44 12. H 13. 9.2 hours 13. A 14. 7.2 miles 14. H 15. 45.6 pints 15. C 16. 8.375 pounds 16. J 17. Answers will vary. Possible answer: 130°, 50°, 130°, 50° 17. D 18. Answers will vary. Possible answer: 10, 24, 24 19. C 18. F 20. F 19. x 30 21. C m 20. 1.3 22. G feet 21. 56.73 23. A 22. 59.8 m 24. G Chapter 5 Performance Assessment 25. D 1. Possible answer: 1 inch 100 miles 26. G Copyright © by Holt, Rinehart and Winston. All rights reserved. Rt 40 265 Holt Mathematics
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