Review Concepts - Section

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1 Name: Class: Date: Review Concepts - Section.-.3 Which shows the ratio as a fraction in simplest form?. to,, to, :. to Write the ratio : 0 as a fraction in simplest form and in two other ways. Which of the following shows the ratios ordered from least to greatest?. 9 :, to 9, 0, 0 :, to 9, 0 :, 9 : 0, to 9, 9 :, 0 : 0, 0 :, to 9, 9 : 0 to 9,, 0 :, 9 : to,, :, to, :, to, to to, to, :, :, to, Find the unit rate. $0 0 nights $0 night $ night $ night $3 night pencils boxes, to Write the equivalent rate. 99 km =? km hour min.. 90 $ day =? dollars year 0. Which is the best buy? $0. for cans of salsa $.0 for cans of salsa $0. for cans of salsa $.0 for cans of salsa

2 Name:. Tom is buying a package of pens at a store. The store sells packages of pens for $. and pens for $.. Which package offers the better unit price?. A class is attended by boys and girls. Write the ratio of boys to students in the class as a fraction in lowest terms. 3. Write the ratio of the value of pennies to the value of nickels.. Write the ratio of vowels to consonants in THOMPSON in lowest terms. :3 3: 3: :3. According to a recent survey, 0 out of every students do not walk to school. Which of the following represents the ratio of walkers to total students?. Use an equivalent rate in miles per minute to rewrite this statement: "In 99 a jet car traveled.09 miles per hour.". A -pack of oz. bottles of water costs $3.00. What is the unit price for a bottle of water? Explain how to convert the unit price per bottle to the unit price per ounce of water.. gal/h; 9 pt/h Solve the proportion. = v m = a = 9 x = = k 9 3 = j 0 3 m = a = 9 3. Two machines can complete tasks every days. Let t represent the number of tasks these machines can complete in a -day month. Select the correct statement for the given conditions. = t = t = t = t. Two ounces of a breakfast shake provide grams of protein. How many ounces of the product would be needed to provide grams of protein?

3 Name: 9. State Alaska Maine Population (99) 0,,0,09 Land Area (mi ) 0, 3, Find the population density of each state. Round to the nearest whole number. Use your results from part(a). Write and solve a proportion to find how many people would live in Alaska if Alaska had the population density of Maine.. Gabrielle is starting a new fitness program. She has decided to jump rope for 0 minutes every morning and has recorded her progress in a table. Complete the table for minutes and 0 minutes. Assume Gabrielle continues to jump at the same rate. How many times can Gabrielle jump in 0 minutes? Time (min) 0 Jumps 0 3. Mr. Jones has taken a survey of college students and found that out of students are liberal arts majors. If a college has 000 students, what is the best estimate of the number of students who are liberal arts majors? 0, A national forest service wanted to estimate the number of deer in a particular national park. They caught and tagged deer and released them back into the park. Later they selected a sample of 39 deer. Of the 39 deer, 9 were tagge Assuming that the proportion of tagged deer in the sample holds for all deer in the forest, what is the best estimate of the number of deer in the park? 0 3, A worker in an assembly line takes hours to produce 3 parts. At that rate, how many parts can she produce in hours? 9 parts 3 parts parts parts 3. A survey indicated that 3 out of doctors used brand X aspirin. If 00 doctors were surveyed, how many used brand X? 3. A board inches long is cut into two pieces in the ratio :. Find the length of each piece. 3. While attending a school carnival, you estimate the ratio of children to adults as 3:. If there are 00 people at the carnival, about how many children are in attendance? about 0 about 0 about 00 about 3. While visiting a daycare center, you estimate the ratio of toddlers to infants as 3:. If the center has an enrollment of children, about how many of them are infants? 3. Every day, a random sample of computer memory chips produced by a factory is tested to see if the chips meet their minimum speed ratings for certain operations. If of the chips failed the test on a day when,000 chips were made, which is the best estimate of the number of memory chips made that day that are likely to meet the minimum speed ratings for those operations? Round the answer to the nearest ten., , Tell whether the ratios form a proportion. 9 3, 3 3, 0 3

4 Name: Solve the proportion. 0.0 = n n 3 = 9... = 3 a 0 n = 3. = 90 x n = 9.. A car travels 00 miles on 0 gallons of gas. At that rate, how much gas will it need to travel 0 miles? gal gal. gal 3 gal. Jamie traveled. miles on 3. gallons of gas. How many miles can she travel on 9.03 gallons of gas? 0. mi 3. mi. mi 9. mi 9. Andrew owns a lawn-mowing business which contracts with 3 customers each week. Last week the business earned $0.. How many weeks will it take to earn $09.? wk wk wk 9 wk 0. There is a law stating that "The ratio of the width to length for the American flag should be 0 to 9." Is a flag measuring by feet of the correct ratio? Tell whether the given rates are equivalent or not equivalent.. 33 people/h; 9 people/day. If the ratio of a:b is 3:0 and the ratio of b:c is :, what is the ratio of a:c? 3: 3: 3: 3: 3. Consider the proportion = a..... Solve the proportion using equivalent ratios. What did you multiply "" by? Solve the proportion using algebr What did you multiply each side of the equation by? Why? Solve the proportion using cross products. What are the cross products? How do you know when two ratios do not form a proportion? Tell whether the ratios form a proportion., 90,, 0 0 3, 0 00

5 Review Concepts - Section.-.3 Answer Section. C. D 9 3., 9 :, 9 to. A. B. C. pencils box. C 9.,3 0. A. pens for $.. 3. :. A. A. Sample Response: In 99 a jet car traveled. mi/min.. $0. per bottle Since there are oz in one bottle of water, you have to multiply the unit rate per bottle $0. by the conversion factor and simplify to get $0.03 per oz of water. oz.. equivalent 9. D D 3. B. B... C. oz 9. Alaska: person/mile ; Maine: 0 people/mile 0 = x ;,,90 people 0, 3

6 Time (min) 0. Jumps jumps 3. B 3. A 33. A used brand X 3. in., in. 3. B 3. about 3. A 39. Yes 0. No. C B. B 9. A 0. yes. equivalent. D 3. a = ; a = ; You have to multiply each side by in order to clear fractions. a = ; a = Two ratios form a proportion when their cross products are equal.. Yes. No. Yes. No