7th Grade Chapter 1 Practice Quiz Scale each ratio up or down to determine the unknown quantity. Explain how you calculated each answer. 1. _____________________________________ 2. _____________________________________ Calculate the unit rate for each item. Round to the nearest cent. 3. A box of 8 light bulbs costs $6.29. _____________ 4. A bag of 6 oranges costs $2.49. _____________ 5. A 16-ounce box of cereal costs $4.98. _____________ 6. Answer questions 6 and 7 using the conversion rates listed: Length Time 12 inches 1 foot 60 seconds 1 minute 36 inches 1 yard 60 minutes 1 hour 3 feet 1 yard 3600 seconds 1 hour 5280 feet 1 mile 24hours 1 day 7days 1 week How many feet are in 4.5 miles? _____________ 7. How many seconds are in 1 week? _____________ 8. A person who weighs 105 pounds on Earth would weigh 47.2 pounds on Mercury. Determine how much a child who weighs 50 pounds on Earth would weigh on Mercury. Round to the tenths place. __________________________ 9. One brand of canned salmon is sold in four different sizes. a. The 7-ounce can costs $3.49. The 16-ounce can costs $6.49 The 24-ounce can costs $8.49. The 30-ounce can costs $10.99. Calculate the unit rate (cost per ounce) for each size. 7 ounce: _________________ 16 ounce: ________________ 24 ounce: _________________ 30 ounch: _________________ b. Which size is the best buy? Explain how you know. _____________________________________________________ 10. The New Jersey Division of Fish and Wildlife keeps track of the beaver population in the Raritan River. They tagged 45 beavers and released them. A week later, they captured 60 beavers, including 18 tagged beavers. What is a good estimate of the beaver population in the Raritan River? __________________________________________ 11. On his last math test, Brandon completed 13 problems in 45 minutes. a. If he worked at a constant rate, how long did it take Brandon to complete 8 problems? Explain how you can use a unit rate to answer this question. ____________________________________________________ b. If he worked at a constant rate, how many math problems did Brandon complete in 35 minutes? Explain how you can use a unit rate to answer this question. ____________________________________________________ 7th Grade Chapter 1 Practice Quiz Answer Section 1. ANS: 26 miles I divided the numerator and denominator by 16. PTS: 1 TOP: Post Test 2. ANS: 19.5 yards REF: 1.1 NAT: 6.RP.1 | 7.RP.1 KEY: ratio | rate | proportion | equivalent ratios | unit rate | scaling up | scaling down I multiplied the numerator and denominator by 3. PTS: 1 REF: 1.1 NAT: 6.RP.1 | 7.RP.1 TOP: Post Test KEY: ratio | rate | proportion | equivalent ratios | unit rate | scaling up | scaling down 3. ANS: The unit rate is $1.05 per light bulb. PTS: 1 REF: 1.1 NAT: 6.RP.1 | 7.RP.1 TOP: End Ch Test KEY: ratio | rate | proportion | equivalent ratios | unit rate | scaling up | scaling down 4. ANS: The unit rate is $0.37 per orange. PTS: 1 REF: 1.1 NAT: 6.RP.1 | 7.RP.1 TOP: End Ch Test KEY: ratio | rate | proportion | equivalent ratios | unit rate | scaling up | scaling down 5. ANS: The unit rate is $0.38 per ounce. PTS: 1 TOP: End Ch Test 6. ANS: REF: 1.1 NAT: 6.RP.1 | 7.RP.1 KEY: ratio | rate | proportion | equivalent ratios | unit rate | scaling up | scaling down There are 23,760 feet in 4.5 miles. PTS: 1 KEY: convert 7. ANS: REF: 1.3 NAT: 7.RP.1 TOP: Post Test There are 604,800 seconds in 1 week. PTS: 1 KEY: convert REF: 1.3 NAT: 7.RP.1 TOP: Post Test 8. ANS: A child who weighs 50 pounds on Earth would weigh approximately 18.9 pounds on Mercury. PTS: 1 TOP: Post Test 9. ANS: REF: 1.5 NAT: 7.RP.1 | 7.RP.2.c | 7.RP.3 KEY: variable | means and extremes | solve a proportion | inverse operations a. b. The 24-ounce can is the best buy because its cost per ounce is lowest. PTS: 1 TOP: Post Test 10. ANS: REF: 1.6 NAT: 7.RP.1 | 7.RP.2.b | 7.RP.3 There are approximately 162 beavers in the Raritan River. PTS: 1 REF: 1.5 NAT: 7.RP.1 | 7.RP.2.c | 7.RP.3 TOP: End Ch Test KEY: variable | means and extremes | solve a proportion | inverse operations 11. ANS: a. Brandon worked 12 problems in 48 minutes, so his unit rate was b. Brandon completed 4 problems per minute, so it took him (8)(4) 32 minutes to complete 6 problems. c. Brandon completed PTS: 1 KEY: convert problem per minute, so in 36 minutes, he completed REF: 1.3 NAT: 7.RP.1 TOP: End Ch Test problems.