Unit 5 Practice Problems. 1. Tom had. of a carrot cake today. How much of one whole carrot. of a carrot cake last night and
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1 UNIT PRACTICE PROBLEMS 8: Use the diagrams given to represent the values in the addition problem and find the sum. Then perform the operation and represent the sum using the symbolic representation of the algorithm.. Tom had 6 cake did Tom have? of a carrot cake last night and 6 of a carrot cake today. How much of one whole carrot. Ava walked 8 of a mile to the store and then ran another 7 8 of a mile to school. How far did she travel in total?.
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3 : Use the diagrams given to represent the values in the subtraction problem and find the difference. Then perform the operation and represent the difference using the symbolic representation of the algorithm. 9. There was cake is leftover now? of a cake left after a party. Joey ate of the cake the next afternoon. How much of a
4 0. Sara lives 8 live from school? of a mile from school. Ann lives 8 of a mile from school. How much further does Sara.. 8
5 . 9 Unit Practice Problems.. 7
6 6. Add or subtract each of the following. Be sure to leave your answer in simplest (reduced) form. If applicable, write your answer as both an improper fraction and a mixed number. a. 8 8 b. c. 0 0 d. 7 e Add or subtract each of the following. State clearly what the common denominator is. Be sure to leave your answer in simplest (reduced) form. If applicable, write your answer as both an improper fraction and a mixed number. a. b. 7 9 c. d. 7 e. 7 6
7 For 8 9: Use the diagrams given to represent the multiplication problem and find the product. Then perform the operation and represent the product using the symbolic representation of the algorithm. 8. April s guests ate of an apple pie. The pie had slices. How many slices did they eat? 9. Riley was 0 miles from home. He travelled miles did he travel before stopping for gas? of this distance before stopping for gas. How many 0. Javier has a gallon bucket. If he fills it top. How much water is in the bucket? of the way to the. How much water is in the bucket if he fills it to the top? of the way 7
8 . Johnny s gas tank holds 0 gallons. The gas gage says it is the tank? Unit Practice Problems full. How many gallons of gas are in. Phil skated around a track 7 times. The distance around the track is skate? of a mile. How far did Phil 8
9 . Chris is having a party with a total of 8 people. He bought enough cake for each person to have cake. How many cakes did he buy? of a.. Yesterday, Sharon walked walked of a mile to school. Today, Sharon s friend picked her up after she had of the way to school. How far to Sharon walk today? 6. Maureen bought a rectangular piece of land to build a vacation home. The land is and of a mile wide. How many square miles of land did Maureen buy? of a mile long 9
10 7. Todd ordered a pizza. He ate of the pizza that night. The next day, he ate How much of the whole pizza did Todd eat the next day? Unit Practice Problems of what was left over. 8. According to the Bureau of Labor Statistics, the buying power of the dollar is times larger in 06 when compared to 99. Determine the comparable buying power in 06 of $0 in Kevin made a rectangular drink coaster. The coaster was inches wide and inches long. How many square inches was the coaster? 0
11 0. Multiply and simplify. If applicable, write your answer as both an improper fraction and a mixed number. a) 6 b) c) 0 d) e) For : Use the diagrams given to represent the division problem and find the quotient.. Tia made cakes for her guests. If each guest receives of a cake, how many guests can Tia serve? Symbolic Representation:
12 . Greg ran 8 miles this month. If he ran Unit Practice Problems of a mile every day he ran, how many days did Greg run? Symbolic Representation:. 7 Symbolic Representation:. 9 Symbolic Representation:
13 . Unit Practice Problems Symbolic Representation: 6. Divide the fractions by multiplying the first fraction by the reciprocal of the second fraction. Simplify your result if necessary. Write any answers greater than as both an improper fraction and a mixed number. a) b) 8 9 c) Rewrite any mixed numbers as improper fractions. Then perform the division by multiplying the first fraction by the reciprocal of the second fraction. Simplify your result if necessary and rewrite your result as a mixed number when possible. a) b) 7 c) 7
14 8. Perform the indicated operations. Write your answer in simplest form. If applicable, write your answer as both an improper fraction and a mixed number. a. b. 8 c. d Perform the indicated operations and simplify. If applicable, write your answer as both an improper fraction and a mixed number. a. b. 6 c. 8 d.
15 For 0 : Solve the following problems. Show all of your work and write your final answer as a complete sentence. When necessary, write your final answers as both mixed numbers and improper fractions. 0. If Josh ate of a pizza, what fraction of the pizza is left?. If I drove 0 miles one day and miles the second day and 8 miles the third day, how far did I drive?. Melody bought a -liter bottle of soda at the store. If she drank of the bottle, how much of the bottle is left? 8 of the bottle and her brother drank 7. James brought a small bag of carrots for lunch. There are 6 carrots in the bag. Is it possible for him to eat 6 of the bag for a morning snack and of the bag at lunch? Why or why not? 6
16 . Suppose that David is able to tile of the floor? Unit Practice Problems of his floor in hours. How long would it take him to tile the rest. Maureen went on a day, 0 mile biking trip. The first day she biked miles. The second day she biked 7 8 miles. How many miles did she bike on the rd day? 6. Scott bought a lb. bag of cookies at the bakery. He ate What fraction of the bag did they eat? What fraction of the bag remains? of a bag and his sister ate 9 of a bag. 7. Suppose your school costs for this term were $00 and financial aid covered much did financial aid cover? of that amount. How 6
17 8. If, on average, about 7 person weighing 8 pounds? Unit Practice Problems of the human body is water weight how much water weight is present in a 9. If, while training for a marathon, you ran 90 miles in month? (Assume you ran the same amount each month) months, how many miles did you run each 0. On your first math test, you earned 7 points. On your second math test, you earned as your first test. How many points did you earn on your second math test? 6 as many points. You are serving cake at a party at your home. There are people in total and cakes. (You ate some before they got there!). If the cakes are shared equally among the guests, what fraction of a cake will each guest receive? 7
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