Comparing and Scaling Unit Test Review Show any work you do. You may use a calculator.

Transcription

1 Comparing and Scaling Unit Test Review Show any work you do. You may use a calculator. 1) Complete the ratio table: ) Mandy runs 4 kilometers in 18 minutes. She plans to run in a 15 kilometer race. How long will it take her to complete the race? 3) The Elsie Dairy uses a machine that fills 28 cartons of milk an hour. a. How many cartons will be filled in 6.5 hours? b. How long will it take to fill 343 cartons? c. If the machine ran continuously for 10 days, how many cartons would it fill? d. Write an equation that expresses the relationship between the number of cartons C and the number of hours H. e. What is the constant of proportionality? 4) Decide whether the two ratios in each pair are equivalent. Explain how you decided. a) 3.6 to 7.2 and 2 to 1 b) 12:18 and 20:30 Comparing and Scaling Review - p. 1

2 5) At Copy City, sixty copies cost 9 dollars. How much will it cost to make 270 copies? 6) Solve for the missing value in each pair of equivalent ratios: a)! = #$ " % b) #.' '.$ = z 9 c) '+ + =, #! d) - = $ #" '.! Determine: a. The rate. b. If the relationship is proportional or non-proportional. c. If the rate is also a constant of proportionality (yes or no). Rate Proportional or non-proportional? Constant of Proportionality? 7) y = 23x 8) y = 12x + 7 9) y = 5.7x 10) y = x 11) What is the total price of a $149 music player that has a 5.5% sales tax? Comparing and Scaling Review - p. 2

3 12) Determine which of the two mixtures below would be darker. Explain how you decided. Mixture A Mixture B 13) Find the tax: a) a fiction novel for $18.99 at 6% sales tax b) an electronic tablet for $ at 8% sales tax c) a one night hotel stay for $77.50 at 3% lodging tax 14) Tony can type at a constant rate of 55 words per minute. a) Write an equation for the number of words W Tony can type in T minutes. b) How many words can Tony type in 20 minutes? c) If Tony has a half hour to type a 1600-word essay, will he have time to type the entire essay? Explain your reasoning. Comparing and Scaling Review - p. 3

4 15) A veterinarian s clinic has a patient load of 150 cats and dogs. The ratio of cats to dogs is 4 to 8. How many patients are cats and how many are dogs? 16) If Rob drives his car at a steady speed for 448 miles, he will use 14 gallons of gasoline. a) What is Rob s unit rate in miles per gallon? b) Write an equation that expresses the relationship between the number miles driven, m, in terms of the number of gallons used, g. c) What is the constant of proportionality in your equation? d) Rob drives his car at the same steady speed and uses 22 gallons of gas. How many miles has he driven? 17) A soccer team eats lunch at a restaurant on the way to a tournament. The total cost of the food was $85.25 before 6% tax and 18% tip were added. a) What was the tax added to the bill? b) What was the tip left for the servers? The tip is calculated on the pretax price. c) What was the total cost of lunch at the restaurant? Comparing and Scaling Review - p. 4

5 19) A car is 180 inches long. A truck is 75% longer than the car. How long is the truck? 20) Today, everything at a store is on sale. The store offers a 20% discount. a) The regular price of a T-shirt is $18. What is the discount price? b) If the regular price of an item is x dollars, what is the discount price in dollars? c) The discount price of a hat is $18. What is the regular price? 21) Lin s father is paying for a $20 meal. He has a 15%-off coupon for the meal. After the discount, a 7% sales tax is applied. What does Lin s father pay for the meal? Explain or show your reasoning Comparing and Scaling Review - p. 5