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Unit 2 – Homework Name ____________________________ due: ________ Period ________ RATIOS Write each ratio in three different ways. 1) Titans wins to Titans losses. ___________________________________________________ 2) Orioles losses to Orioles wins __________________________________________________ 3) Total Orioles games to Orioles losses ____________________________________________ 4) When asked to write a ratio comparing the number of spades to the total number of shapes, Courtney answered 15 : 9. She then simplified her answer to 5 : 3. Was she correct? Why or why not? __________________________________________________________________ __________________________________________________________________________ PROPORTIONS Are the two ratios proportional? Justify your reasoning. 5) 3 6 , 5 10 6) 7 8 , 8 9 _________________________________ _________________________________ _________________________________ _________________________________ Solve each proportion. 7) 4 u = 36 9 8) 8 20 = 10 y 9) x 3 = 28 4 RATE Find the unit rate. 10) 300 miles travelled on 12 gallons. How many miles per gallon? 11) The cost of 17 tickets is $306. How much for one ticket? 12) Three pounds of meat costs $7.77. How much for 1 pound? 13) In 6 hours, there was 10 inches of snow. How many inches of snow fell per hour? 14) Jane travelled 5 kilometers in 8 minutes. How many kilometers per minute? Tape Diagrams, Tables, Double number line diagrams 15) In a parking lot, there are 3 white cars for every 2 red cars. How many white cars are in the parking lot, if there is a total of 20 cars in the lot? Use a tape diagram to solve the problem. white cars: red cars: 16) Carlton had $72. Then he spent ¼ of his money on books and 3/8 of his money on sports equipment. How much money did Carlton have left? Draw a tape diagram to solve the problem. 17) Britney does sit-ups every day. The table shows how long it takes her to do different numbers of sit-ups. How long does it take Britney to do 40 sit-ups? 18) Complete the ratio table. 9 18 27 8 16 24 45 32 40 19) A train travels 200 miles in 4 hours. How many miles does it travel in 1 hour? (Use the double number line diagram provided.) Distance Time 0 miles 200 miles ______________________________________________________ ______________________________________________________ 0 hours 1 hour 2 hours 3 hours 4 hours 20) How long does it take the train in problem 18 to travel 300 miles? (Extend the double number line diagram above.)