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Copyright © 2014 Edmentum - All rights reserved. Units of Measurement 1. Directions: Type the correct answer in each box. Use numerals instead of words. If necessary, use decimals instead of fractions. In an experiment, the weight of several oranges were recorded in the table below. During the experiment, some of the oranges were weighed in grams and some were weighed in kilograms. Find the weights of the oranges weighed in grams in kilograms, and then find the weights of the oranges weighed in kilograms in grams. Grams Kilograms 243 0.234 423 0.324 Unit Rates 2. Directions: Select all the correct answers. Robin has a table full of supplies that she will use to decorate picture frames. She decorated one frame with 3 buttons and 12 bows. On her other frames, she also wants to use 2 types of items on each picture frame, but only if the 2 items have the same unit rate as the items on the first frame. Which of the pairs of items could Robin use for the other frames? 7 s tic kers and 2 8 glue dots 8 bows and 3 6 gems 6 s tic kers and 2 1 flowers 5 buttons and 1 5 glue dots 4 gems and 1 6 flowers Ratios 3. What is the ratio of red books to green books? A. 3 to 10 B. 2 to 3 C. 3 to 2 D. 4 to 3 Ratios Ratios 4. The ratio of the books in the sample above is representative of the books in a bookcase in the library. If there are 35 yellow books in the bookcase, then how many green books are in the bookcase? A. 10 B. 12 C. 14 D. 16 Unit Rates 5. Directions: Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. Sallie compared the prices of four different seafood restaurants that offer butterfly shrimp on their menu. She wanted to see which restaurant offered the best deal. The prices are shown in the table below. Restaurant Restaurant Price A $13.20 for 8 shrimp B $18.00 for 12 shrimp C $10.32 for 6 shrimp D $13.05 for 9 shrimp offered the best deal at $ per shrimp. Ratios 6. Megan has 4 red marbles, 5 blue marbles, and 9 yellow marbles. What is the ratio of red marbles to blue marbles? A. (5/ ) or 5:9 9 B. (4/ ) or 4:5 5 C. (4/ ) or 4:9 9 D. (5/ ) or 5:4 4 Units of Measurement 7. Directions: Select all the correct locations on the coordinate plane. Grace measured the amount of milk in a jug to be three pints. She then measured the same amount of milk to be six cups. She also measured the amount of milk in three different pitchers to be four cups, eight cups, and ten cups of milk. Use the coordinate grid to plot the number of pints that are equivalent to four cups, eight cups, and ten cups of milk. Unit Rates 8. Directions: Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use decimals instead of fractions. Two brothers, Ty and Cam, went to a local bookstore to buy books for school. Ty bought 8 books for $113.92, and Cam bought 6 books for $92.82. They then compared their average cost per book. Ty paid an average cost of $ per book. Cam paid an average cost of $ per book. So, paid an average cost of $ more per book than his brother. Units of Measurement 9. Directions: Type the correct answer in each box. Use numerals instead of words. If necessary, use decimals instead of fractions. Wendall and Stacey measured the lengths of several wooden planks. Wendall recorded his measurements in inches, and Stacey recorded her measurements in feet. In order to compare the lengths of the wooden planks, they recorded their measurements in the table below. Find the measurements of the wooden planks Wendall measured in feet, and then find the measurements of the wooden planks Stacey measured in inches. Wendall Feet Inches Answers Stacey 5 108 36 12 1. 2. 3. 4. 5. 6. 7. 8. 9. --C C -B ---- Explanations 1. There are 1,000 grams in every kilogram. To find the missing kilogram weights, divide the weights by 1,000 grams. To find the missing gram weights, multiply the weights by 1,000 grams. The completed table appears below. Grams Kilograms 234 243 324 423 0.234 0.243 0.324 0.423 2. Write the ratio of buttons to bows as a fraction. Compare the unit rates of the other pairs of items by finding the ratio of the items in fraction form. Of these options, Robin could use 4 gems and 16 flowers or 7 stickers and 28 glue dots for the other frames. 3. A ratio represents a comparison between two values. Since there are 3 red books and 2 green books, the ratio of red books to green books can be expressed in the following three ways. 1. 2. 3. 3 to 2 3:2 3/ 2 4. In the sample the ratio of yellow books to green books is 5 to 2. The books in the bookshelf will have the same ratio as the sample. However, in the bookshelf there are 35 yellow books, which is seven times the number of yellow books in the sample. Thus, there must be seven times as many green books as in the sample. This means there are 14 green books in the bookcase. 5. To find which restaurant offered the best deal, calculate the unit rate by dividing the price by the number of shrimp. So, restaurant D offered the best deal at $1.45 per shrimp. 6. A ratio represents a comparison between two values. The ratio of red marbles to blue marbles can be expressed in three ways. 1. 2. 3. 4 to 5 4:5 4/ 5 7. First, find the relationship between the two amounts of milk that Grace measured in the jug. The amount of milk in the jug measured three pints, and it measured six cups. So, there are two cups in each pint. Determine the number of pints in each of the pitchers. Plot each of the relationships. Notice that the horizontal axis counts by ones, and the vertical axis counts by twos. From four cups on the horizontal axis, plot a point two units up. This point represents four cups equals two pints. From eight cups on the horizontal axis, plot a point four units up. This point represents eight cups equals four pints. From ten cups on the horizontal axis, plot a point five units up. This point represents ten cups equals five pints. 8. First, find the unit rate for each person's purchase. First, find the unit rate for each person's purchase. Ty bought 8 books for $113.92, so divide $113.92 by 8 to find the unit rate of Ty's purchase. So, Ty paid an average cost of $14.24 per book. Cam bought 6 books for $92.82, so divide $92.82 by 6 to find the unit rate of Cam's purchase. So, Cam paid an average cost of $15.47 per book. Next, find the difference in the unit rates. So, Cam paid an average cost of $1.23 more per book than his brother. 9. There are 12 inches in every foot. To find the measurements of the wooden planks Wendall measured in feet, divide the length, in inches, of the planks by 12 inches per foot. To find the measurements of the wooden planks Stacey measured in inches, multiply the length, in feet, of the planks by 12 inches per foot. The completed table appears below. Wendall Feet Inches Stacey 9 3 5 12 108 36 60 144