Assessment Answers Lesson 1 1. Tens 2. Ten thousands 3. Twelve million, eighty-nine thousand, five hundred twenty-six 4. Eight billion, two million, seventy-nine thousand, one hundred-twenty-three 5. 4 ∙ 4 ∙ 4 = 64 6. 52 7. 31 8. $713 9. 283 pounds Lesson 2 1. 1, 2, 3, 4, 6, 8, 12, 24 2. 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 3. Composite. It is divisible by 3. 4. Prime. It has no factors besides 1 and itself. 5. 6. !" ! 7. !" , !" !" ! 8. !" = ! , 9. !" !" !" ! ! 10. 1 !" !" !" 11. !" , !" ! 12. ! 13. 45 14. > Lesson 3 ! 1!. ! 1!. 31 3 !" 4 7 7 7 1 1!. !" 1 6 6 !" ! 1!. !" !" 1 !" ! 2!. !! 5 1 2!. !" 2 2 2 2!. 2!. 4 15 !" ! ! !" 5 ! 3!. 9 3!. !" ! ! !" 6 ! ! ! !" 1 !" = 1 ! 4!. !" ! ! !" 14 ! !" !" 4!. !" !" 1 !" 5. 6. 7. !" ! !" 5 ! ! !"# !" !" !" = 10 !" !"#$% !" ! !"#, !" !" !" !" ! !"# Lesson 4 ! 1!. !" ! ! 1!. ! !" 1 ! 1!. 187 5 !" 26 7 7 ! 2!. ! 3 2!. 7 ! 2!. ! 3!. 5 3!. 8 3!. 3!. 26 8 !" 2 9 9 49 135 ! 4!. !" !! 4!. !" 5. 90 points 6. !! !" !" ! !"#$ Lesson 5 1. thousandths 2. Eight hundred twenty-three and twenty-nine thousandths 3a. 300 3b. 263.41 3c. 57.13 3d. 57.135 3e. 624 !" 4. !" !" 5. 72 !"" 6. 0.78 7. 11.29 8a. 7094.87, 7095 8b. 20.64, 21 9a. 5.23, 5.234, 5.3, 5.65 ! ! ! ! 9b. !! , ! , ! , ! 10a. $43.85 10b. 20 barrettes Lesson 6 1a. 0.60, 60% 1b. 1c. !" !" ! !" , 124% , 0.16 2. 57.69 3. 0.0851 4. 192.31% 5a. 50% increase 5b. 68.92% decrease 6a. 78 people 6b. 81.18% 6c. $125 Lesson 7 1a. 1b.1 to 2 1c. 4:7, 3 feet 2 feet 2a. 30 miles in 1 hour 2b. 12 inches to 1 foot 2c. 2 men to 3 women 3a.60 miles per hour 3b. $4.17 per gallon 3c. 5.38 lbs. per square inch 4a. x = 1.67 4b. r = 15 4c. x = 40 5a. x = 24 5b. r = 13.33 5c. x = 40 6a. x = 0.38 6b. t = 56 6c. x = 0.84 7a. 5.16 hours 7b. 21 pounds Lesson 8 1a. 6.43, 7, 7, 6 1b. 4.38, 4.5, 2 and 6, 5 2. $19.52 3a. 20 pounds 3b. 4 pounds per month 3c. 15 pounds 3d. 3 pounds per month 3e. Month 1 4. Chart Category Class Time Amount in hours 15 Fraction of Week 15/168 Percent of Week 8.93% Work 25 25/168 14.88% Sleep 56 56/168 33.33% Study 30 30/168 17.86% Travel 4 4/168 2.38% Remaining 38 38 22.62% Total 168 168/168 100% 4a. 480 hours 4b. 8 hours 4c. 18 hours, 10.71% Lesson 9 1. 80 oz. 2. 17,160 ft. 3. 13,680 minutes 4. 234 inches 5. 1 year 9 months 6. 6 hours 16 minutes 7. 6 lb. 5 oz. 8. 6700 m 9. 4 mm 10a. 3539 km 10b. 19,661 m per day 10c. 0.50 meters per second 1.67 feet per second Lesson 10 1. 116 inches 2. 25.12 meters 3. 41.7 feet 4. 1.56 square meters 5. 12.28 square feet 6. 7 times 7. 10 feet, 25 feet by 4 feet, 50 feet by 2 feet and 100 feet by 1 foot are the whole number answers Lesson 11 1a. 197.82 m³ 1b. 364 ft³ 1c. 33.49 ft³ 2. a = 8.6 cm b = 8.6 cm 3a. between 8 and 9, 8.54 3b. between 5 and 6, 5.10 3c. between 7 and 8, 7.21 3d. between 10 and 11, 10.49 4a. 5 ft. 4b. 6.7 m 5a. Mercury: 60.8 cm³ Jupiter: 1,529,821.4 cm³ 5b. 25.44 feet 5c. 14.1 cm Lesson 12 2 1 2 1 1 2 1 1. − 2, − 1 , − 1 , − 1, − , − , 0, , , 1, 1 3 3 3 3 3 3 3 1 12 3 2. − 3.67, − 3 , − , − 0.65, − 3 5 5 3a. +8 feet 3b. −15 feet 3c. −18 degrees 4a. 7 4b. 7 4c. −9 5a. −5 5b. 11 5c. − 12 3 5 6a. 36 6b. −16 6c. 94 7a. −16 7b. 16 7c. −16 8a. 1 11 8b. −88 9a. Total Column: +2, −13, −5, −13, −1 Total Row: −3, −2, −6, −9, −5, −5 9b. Week 4 9c. Frank and Sara 9d. − 1 pounds per week 9e. 7 pounds 6
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