NAME: UNIT 2: Ratio and Proportion STUDY GUIDE. Multiple Choice Identify the choice that best completes the statement or answers the question.

Transcription

1 NME: UNIT 2: Ratio and Proportion STUY GUIE RP.1 Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Use the table to write the ratio of green beans to peppers. Use a part-part model. a. 89:30 c. 37:30 b. 37:89 d. 30:37 NS: Type of Vegetable Number on Plate arrots 4 Peas 18 Peppers 30 Green beans 37 The ratio should compare a part to a part, not the whole to a part. The ratio should compare a part to a part, not a part to the whole. heck the order of the ratio. 2. Use the table to write the ratio of soccer balls to the total number of balls in the store. Use a part-whole model. a. 183:64 c. 32:64 b. 32:183 d. 183:32 NS: Type of all Number of alls aseballs 64 Softballs 1 Footballs 86 Soccer balls 32 heck the type of the ball. The ratio should compare a part to the whole, not a part to a part. heck the order of the ratio

2 3. Use the table to write the ratio of the total number of houses to the number of houses that are painted green. a. 103:17 c. 17:103 b. 34:17 d. 103:34 NS: olor of House Number of Houses Red 34 Green 17 Yellow 48 rown 4 The ratio should compare the whole to a part, not a part to a part. heck the order of the ratio. heck the color of the house. RP.2 1. Which statement is expressed as a unit rate? a. Jamie works 9 hours for $155. b. customer pays $90 for 4 tickets. c. parking meter costs 30 minutes for 1 quarter. d. car travels 49 miles in 2 hours. NS: unit rate compares a quantity to one unit of another quantity. This is not a unit rate. This is not a unit rate. This is not a unit rate.

3 2. Which statement is expressed as a unit rate? a. soccer player scores 2 goals in 3 quarters. b. customer pays $80 for 3 sweaters. c. man eats 3 pieces of pizza in 15 minutes. d. dog eats 4 cups of food per day. NS: unit rate compares a quantity to one unit of another quantity. This is not a unit rate. This is not a unit rate. This is not a unit rate. RP.3 1. There are orange tulips and purple tulips in the ratio 4 : 5. There are a total of 36 tulips in an arrangement. Which model can you use to help you find the number of orange tulips? a. c. b. d. NS: This is not the right model. This is not the right model. This is not the right model.

4 2. Find the missing term in the pair of equivalent ratios. 81 : 72 = 9 :? a. 7 c. 9 b. 8 d. 10 NS: This number does not make the ratios equivalent. This number does not make the ratios equivalent. This number does not make the ratios equivalent. 3. Three friends collect shells on the beach. The model below shows the ratio of the number of shells each person collected. Sadie collected 42 shells. How many shells did they collect in all? a. 42 shells b. 84 shells c. 105 shells d. 231 shells NS: The ratio shown in the model is 4 : 2 : 5. Use the ratio to find the total number of shells the friends collected. This is the number of shells that Sadie collected. This is the number of shells that be collected. This is the number of shells that an collected.

5 4. There are 3 ingredients in a sauce: lemon juice, cream, and olive oil. The ingredients are in the ratio shown in the model below. There are 54 tablespoons of the sauce. How much of each ingredient was used in the sauce? a. 18 tablespoons of lemon juice, 30 tablespoons of cream, 6 tablespoons of oil b. 30 tablespoons of lemon juice, 18 tablespoons of cream, 6 tablespoons of oil c. 3 tablespoons of lemon juice, 5 tablespoons of cream, 1 tablespoon of oil d. 6 tablespoons of lemon juice, 10 tablespoons of cream, 2 tablespoons of oil NS: The ratio shown in the model is 3 : 5 : 1. Use the ratio to find the number of tablespoons of each ingredient. Make sure you are writing the ratio in the correct order. This is the original ratio. The ratio is correct, but this does not add up to 54 tablespoons.

6 5. Three friends earned $3,600. They decided to split the money in the ratio shown in the diagram below. How much money did each person receive? NS: The ratio shown in the model is 3 : 2 : 1. Use the ratio to find the amount that each friend received. This is the original ratio. Make sure the amounts add up to $3,600 Make sure you write the amounts in the correct order. a. Jake got $3, dam got $2, and ave got $1. b. Jake got $1,800, dam got $1,200, and ave got $600. c. Jake got $1,800, dam got $900, and ave got $600. d. Jake got $1,200, dam got $1800, and ave got $600. RP.3a 1. ompare the number of white shirts, x, with the number of yellow shirts, y, in the table. omplete the table: White shirts x Yellow shirts y What is the rule?

7 2. The table shows the number of large and small gift bags students are hoping to sell for a fundraiser. If 30 students sell the number of gift bags they are hoping to sell, how many gift bags will they sell? a. 60 large gift bags and 90 small gift bags b. 90 large gift bags and 60 small gift bags c. 20 large gift bags and 30 small gift bags d. 30 large gift bags and 60 small gift bags What is rule for the relationship between students, x, and Number of large bags, y? 2x = y What is rule for the relationship between students, x, and Number of small bags, y? 3x = y

8 3. omplete the Table below, nswer the questions, and Graph the data: ouquet Number of Roses Number of Tulips x y y ) What is the rule? 5x = y ) How many roses would be in 7 bouquets? 5 x 7 = 35 or x = 35 ) If the ratio of Roses to Tulips is 5 to 8, how many tulips would you need for 6 bouquets? 8x = y 8 x 6 = 48

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10 4. omplete the Table below, nswer the questions, and Graph the data: ozen ups of hocolate hips x y ) What is the rule? 2x = y ) shlee made cookies for the spring festival. She used a total of 4 ½ cups of chocolate chips. How many dozen cookies did she make? 2 x 4 ½ = 9 OR x=9

11 RP.3b 1. lia works for 18.3 hours and earns $ What does lia earn per hour? a. $32 per hour c. $320 per hour b. $3.20 per hour d. $10, per hour NS: To find the unit rate, divide lia earns $32 per hour. e careful when working with decimals. e sure to place the decimal point correctly. e careful when working with decimals. e sure to place the decimal point correctly. ivide to find the unit rate. 2. The table shows the costs of some pens at different stores. Which store has the best deal on pens? a. Store c. Store b. Store d. Store 1. NS: To find the best deal, find the unit rates and compare. Store : Store : Store : Store : Store has the best deal.

12 To find the best deal, find the unit rates and compare. To find the best deal, find the unit rates and compare. To find the best deal, find the unit rates and compare. 3. The table shows the costs of some T-shirts at different stores. Which store has the best deal on T-shirts? a. Store c. Store b. Store d. Store NS: To find the best deal, find the unit rates and compare. Store : Store : Store : Store : Store has the best deal. To find the best deal, find the unit rates and compare. To find the best deal, find the unit rates and compare. To find the best deal, find the unit rates and compare.

13 4. You can get 640 calories from eating 8 apples. How many calories can you get from eating 1 apple? a. 80 calories per apple c. 82 calories per apple b. 83 calories per apple d. 81 calories per apple NS: Write a rate that compares calories to apples. ivide the numerator and denominator by 8. Simplify. You can get 80 calories per apple. To change a rate to a unit rate, divide both the numerator and denominator by the denominator. ivide correctly. First, write a rate that compares calories to apples. Then, divide and simplify. 5. machine can make 165 granola bars in 3 minutes. t this rate, how many granola bars can the machine make in 7 minutes? a. 55 c. 495 b. 385 d. 1,155 NS: First, find the unit rate. Then multiply the unit rate by the number of minutes the question asks for. So, the machine makes 55 granola bars per minute. The machine can make granola bars in 7 minutes. This is the unit rate. This is the number of granola bars the machine can make in 9 minutes. First you must find the unit rate.

14 6. superstore is selling 11 hats for $ Is this more or less expensive than Harold s Happening Hats which sells each hat for $11.43? a. less expensive b. more expensive NS: Step 1 Find the superstore s price per hat. $ per hat Step 2 ompare this value with Harold s price per hat. $10.65 < $11.43 The superstore s hats are less expensive than the hats sold at Harold s Happening Hats. Find the superstore's price per hat. 7. Terrance is traveling at a speed of 60 miles per hour. t this rate how far will he travel in 2 hours. a. 30 miles c. 120 miles b. 60 miles d. 180 miles NS: You can use the formula d = rt. d = 60(2) = 120 miles 60? 2 Multiply, don t divide, to find the distance. This is the number of miles Terrance will travel in 1 hour. This is the number of miles Terrance will travel in 2 hours.

15 8. train is traveling at a speed of 45 miles per hour. How far will the train travel in 5 hours? a. 9 miles c. 225 miles b. 45 miles d. 270 miles NS: You can use the formula d = rt. d = 45(5) = 225 miles? 45 5 Multiply, don t divide, to find the distance. This is the number of miles Terrance will travel in 1 hour. This is the number of miles Terrance will travel in 6 hours. 9. cyclist is traveling at a speed of 15 miles per hour. How long did it take the cyclist to travel 90 miles? a. 4 hours c. 105 hours b. 6 hours d. 1,350 hours 90 NS: You can use the formula. 15 T? So, the cyclist was riding for 6 hours. The cyclist rode for 90 miles. ivide, don t add, to find the time.! ivide, don t multiply, to find the time.

16 10. car drives at a speed of 45 miles per hour. How long does it take the car to travel 35 miles? a. hour c. 80 hours b. hour d. 1 hour 35 NS: You can use the formula. 45 T? So, it takes the car hour. ivide the distance by the time, not the time by the distance. ivide, don t add, to find the time. The car is traveling for 35 miles. RP.3c 1. t a gardening store, 17 out of 25 plants are flower plants. What percent of the plants are flower plants? a. 17% c. 34% b. 25% d. 68% First, write a fraction, then multiply the numerator and denominator by a factor, in this case, 4, in order to make the denominator 100. Then you can write the fraction as a percent. 17 out of 25 is. So, 68% of the plants are flower plants. There are 17 flower plants, but 17% of the plants are not flower plants. There are 25 plants, but 25% of the plants are not flower plants. This is not the correct percent. Remember to multiply by a factor that will make the denominator 100.

17 2. compound is made up of various elements totaling 70 ounces. If the total amount of lead in the compound weighs 5 ounces, what percent of the compound is made up of lead? If necessary, round your answer to the nearest hundredth of a percent. a. 14% c % b. 0.07% d. 7.14% Set up a proportion. In your final answer, convert the decimal to a percent. Use the percent proportion: part is to whole as percent is to 100. Then, find the cross products. 3. What is 55% of 125? Use a proportion. a c b d Use the percent proportion. Let x represent the part. ivide the percent by 100, and then multiply. ivide the percent by 100, and then multiply. First, write the percent as a decimal. Then, multiply. 4. What is 85% of 45? a c b d % = 0.85 Write the percent as a decimal = Multiply using the decimal. First, write the percent as a decimal. Then, multiply the result by the number. To find the percent of a number, multiply. Place the decimal point in the correct location.

18 5. 72% of the people in a store are female. How many people are in the store if 216 females are in the store? a. 300 c. 30 b. 33 d. 3 You can use reasoning to find the number of people in the whole group. 72% of the whole is 216, so 1% is:, and 100% is: So, there were 300 people in the store. You may have divided incorrectly. You may have multiplied incorrectly. This is the number of people in 1% of the group. 6. Jennifer is making a cold cut platter using turkey and ham for an event that she is catering. She uses 90 slices of meat. If 63 of the slices of meat are turkey, what percent of the meat on the platter is ham? a. 27% c. 63% b. 30% d. 70% You can find the number of slices of ham by subtracting the number of slices of turkey from total number of slices of meat. Then find the fraction of the meat that is ham and express the fraction as a percent. So, 30% of the meat is ham. There are 27 slices of ham, but that is not the percent of meat that is ham. There are 63 slices of turkey, but that is not the percent of meat that is ham. This is the percent of turkey on the platter.

19 8. school chorus made a profit of $200 selling lemonade at the Snack Shack during a softball tournament. This was 74% of the total revenue. How much was the revenue from lemonade sales? Round your answer to the nearest dollar. a. $148 c. $270 b. $470 d. $70 The profit is 74% of the revenue. The revenue was $270. The profit is less than 100% of the revenue. So the revenue should be greater than the profit. heck your answer. Is % of 470? This is the cost of the lemonade sales. Find the total revenue.

20 RP.3d Using a proportion, Re-write each given measure with the new unit. (YOU MUST SHOW YOUR WORK) ustomary 1) PROLEM SHOW YOUR WORK PROLEM SHOW YOUR WORK 4) 12 c = 6 pt 3 mi = ft 2) 2.25 T = 4500 lb 3) 4 1 yd = 13 ½ ft 2 5) 25 qt = 6 gal 1 qt 6) 5 1 lb = 88 oz 2

21 Use a proportion OR Use the ladder, Re-write each given measure with the new unit. (YOU MUST SHOW YOUR WORK) SESE SE: Liter / Meter / Gram Metric k h d d c m 7) PROLEM SHOW YOUR WORK PROLEM SHOW YOUR WORK 0.6 kg = 600 g.6 x ) 7 ml =.007 L ) 5400 L = 5.4 kl 9) 0.79 m = 790 km x ) 4.46 kg = mg 12) 15 cm = 150 mm 4.46 x x 10 1 ¼ gallons 13. dispenser is filled with 18 quarts of fruit juice. fter lunch there are only 5 quarts of juice left. How many gallons of juice are left? 5 qts = gal

22 14. Which of the following indicates the greatest weight?. 600 lb T. 9,000 oz. 0.5 T T T. 500 lbs lbs lbs hange them LL to the SME Units.

23 10.2 g 15. Mr. Johnson needs 85 mg of soda for each of his 120 students to perform the science experiment. How many grams of soda does he need? 85 x 120 = mg mg = 10.2 g Using a RULER Measure each line to the nearest 16 1 th of an inch. 1 in 16. in 17.