A ratio is a multiplicative comparison of two quantities describing the same attribute. A ratio comparing two quantities with different kind of units is a(n): rate A rate that is simplified so that it has a denominator of i is a(n): unit rate Equivalent ratios express the same relationship between quantitities. Columns filled with pairs of numbers that have the same ratio are: ratio tables Name Period Date 6th grade PreAP Math Test Review on Chapter 4 Lessons 1-5 and notes. This isiust a sample of what is on the test. Any. skills which we have done this year, mav be on test. Handed out Monday 10/27. Review is due Friday, October 31. Test is Tuesday, November 4, 2014. All work should ' t be shown and attached if on a separate shee of paper. Highlight your final answer! Lesson 1 Problem-Solving Practice Ratios For Exercises 1-3, use the figure below. The circle has been divided in eighths. 1. Determine the ratio of shaded sections to striped sections. Then explain its meaning. / A .'5@pj' PQC]. ,%q C_'-ILI'(3DS, 3. What is the ratio of empty sections to striped or shaded sections? Explain its meaning. • " " 2. Determine the ratio of shaded sections to the total number of sections. Write the ratio as a fraction in simplest form and as a decimal. Then explain its meaning. F_ uQ:u5 i s.ÿc@:on oucÿ 4: .q ÿ'5 shÿxclÿc(,, 4. In a recent NFL season, the Miami Dolphins won 4 games and the Oakland Raiders won 5 games. What is the ratio of wins for the Dolphins to wins for the Raiders? .gd .l €-Ia ,.ÿ c<_ ::ÿ. cÿ 5 she, ) o:' ÿt-rÿt Pd ÿ-- cF/on5, 5. Rod has 10 rosebushes, 2 of which produce yellow roses. Write the ratio 2 yellow rosebushes out of l O rosebushes in simplest form. .-I 2__/ 5¸ 6. Oscar is 16 years old and his sister Julia is 12 years old. What will be the ratio of Oscar's age to Julia's age in 2 years? Write as a fraction in simplest form. NAME DATE PERIOD Lesson 2 Problem-Solving Practice Rates For Exercises 1 and 2, use tile table. It shows the types of containers and prices of Jolly Juice Orange Juice. olo Containers Price 8 oz $0.96 16 oz $1.60 32 oz $2.56 64 oz $3.84 1. Determine the unit rate for an 8-ounce container of Jolly Juice, Explain your answer. o 2Zÿ k, 39t4 2. Determine the unit rates for each size, Then order the sizes from the least to greatest unit rates. t i(o oÿz:ÿ O,ID ip<ÿr oÿe, -,ÿ(o tÿ ÿ Oÿ1ÿo 0 3. Four friends paid a total of $32 for movie tickets, What is the ratio $32for 4people expressed as a unit rate? 4. At a warehouse, the employees can unload 18 trucks in 6 hours. What is the unit rate for unloading trucks? (9' PERIOD DATE NAME Lesson 3 Problem-Solving Practice Ratio and Rate Tables For Exercises 1-4, use the ratio tables below to solve each problem. Table 2 Table 1 Cups of Flour Number of Cooldes 1 ÿ)ÿ ÿ /ÿ 30 ÿ) D ÿ'(.) €/ÿD Number of Books ÿ 6 (ÿ'[ Cost in Dollars ÿ' 10 [5" 1. In Table 1, how many cookies could you make with 4 cups of flour? 2. In Table 1, how many cups of flour would you need to make 90 cookies? 3. In Table 2, at this rate how many books can you buy 4, In Table 2, at this rate, how much would it cost to buy 9 books? with $5? '6 b oot< s "fyÿ.¢,¢--. i NAME DATE Lesson 4 Problem-Solving PI Graph Ratio Tables A photography store sells black and white film. The cost of 1, 2, and 3 rolls of black and white film are Jÿ shown in the table. Number of Rolls 1 2 3 Cost ($) 4 8 12 4Z 4 1. List this information as ordered pairs (number of rolls of film, cost). 2. Graph the ordered pairs. Then describe the gTaph. cÿ Yÿt -P o In football, each field goal made scores 3 points. The table shows this relationship. Field Goals ÿ,Iade Total Points 0 1 0 3 2 6 3 9 . ( y-q .2i- • 5. List this information as ordered pairs (field goals made, total points). I d ) "ÿ I q) 6. Graph the ordered pairs. Then describe the gTaph. i'l,'ÿ po;,-7.+.5 <cÿ_ / I Course 1 . Chapter I PERIOD NAME DATE PERIOD Lesson 5 Problem=Solving Practice Equivalent Ratios and Rates 1. Jessica can do 60 jumping-jacks in 2 minutes, Dale can do 150 jumping jacks in 5 minutes, Are these rates equivalent? Explain your reasoniÿ. 2, A cookie recipe that yields 48 cookies calls for 2 cups of flour. A different cookie recipe that yields 60 cookies calls for 3 cups of flour. Are these rates e_qÿnt? Explain your reasoningÿ mr'-ÿvÿ 3. A music store is having a sale where you can buy 2 new-release CDs for $22 or you can buy 4 new-release CDs for $40. Are these rates equivalent? Exÿin._y_2ur raM +h <j ÿ. 4, On the Mertler's vacation to Florida, they drove 180 miles in 3 hours before stopping for lunch. After Iunch they drove 120 miles in 2 hours before stopping for gas, Are-these rates equivalent? Explain your reasoning, reasoning. c.ÿ<<, rÿM- +h<_ 5. At the school book sale, Michael bought 3 books for $6, Darnell bought 5 books for $10, Are these rates equivalent? Ex lapÿy_our re_ asoning. 6, One school survey showed that 3 out of 5 students own a pet. Another survey showed that 6 out of 11 students own a pet. Are these results equivalent? Exlÿ. your rÿg, --°'3 J 9")''r .< tÿ' .ÿd.)..y'Cq ÿ, ,,,ÿu r" m O.cÿ-ÿ Course 1 . Chapter 4 Understand Proportions h ÿ--" ..gc4.}"nG NAME DATE PERIOD Lesson I Problem-Solving Practice Unit Rates 1. During Tracy's trip across the couniT, she traveled 2,884 miles. Her trip took 7 days. Calculate a unit rate to represent the average miles she traveled per day during the trip. q/;L 7 / 2. Steve was offered $5,025 per year for a weekend lifeguarding job at a local pool. He wants to know how much his monthly income will be at this salary level. What is hiÿ rate of pay in dollars per month? • <'ÿ) g;Z" o,<ÿ-- ÿ" 16 ?75 1ÿ i (-;' e.r- ! 3. Randall reco['d'ÿd 8 songs on his most recent CD, The total length of the CD is 49 minutes. Calculate a unit 4. Hana paid $1, r the carpet in her living room. The room has an area of 251.2 square feet. What was her rate to represent the average length per song on the CD. unit cost of carpeting in dollars per square foot? Round Round to the nearest hundredth. to the nearest cent. IA ;--TY ?er ,,s " ) 0ÿ,lÿ .______ÿ tL2.UL_7 asi@ ;zoÿ,_ÿ_/>o o - qO 'ÿ L .-.':1. - q)-ÿ,-F'-ÿ 5. An 8-ounce can of tomatoes costs $1.14, A 12-ounce can costs $1,75. Which can of tomatoes costs the least per ounce? i, 'lq o tel& - t 1,7-5 __ ol ÿ/z /ÿ / 6. Last month, Hao's dog ate :40 cans of dog food in 31 days. How many cans should Hao buy to feed his dog for the next 6 days? U 0 _ i, sf¢ ÿ-'ÿ -7,-ÿq + qO --]O <'J" OL.LÿO...ÿ. _. . __6:ÿ.t<3 {..I Course 2, Chapter 2 Proportional Relationships