Name Class Date. Review skills and prepare for future lessons. 8 is in the tenths place.

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1 Remember It? -1 THROUGH - Review skills and prepare for future lessons. Lesson -1 Write 0. as a fraction. 0. = 10 = 10 = _ Rational Numbers (Student Textbook pp. 6 6) is in the tenths place. Rev. MA.6.A..1, Rev. MA.7.A..1 Divide numerator and denominator by the common factor. Write each decimal as a fraction in simplest form Write each fraction as a decimal. Use a bar to show repeating digits.. 7 Simplify each fraction Lesson - Compare? = > 1, so > Comparing and Ordering Rational Numbers (Student Textbook pp ). Write <, >, or =. = 1 Compare. Write <, >, or =.? Write the fractions with a common denominator. is the LCD. Rev. MA.6.A The distances Paul ran each day varied from his target distance by, -0.7, -1, 0., and - mi. Order these distances from least to greatest. Lesson Tutorial thinkcentral.com Chapter Rational Numbers 7

2 - Adding and Subtracting Rational Numbers MA..A.6. Perform operations on real numbers (including absolute value [and] rational numbers ) using real world Add or subtract. Write each answer in simplest form (- 1_ ) (- 1 ) _. 1 - _ _ _ - 1_ _ + 1 _ _ - _ 6 Simplify each expression. 1. _ - _ + - 1_ _ _ 1. Benjamin received a cell phone bill that was $.9 plus a late fee of $0.7. He wrote a check to cover the total expense. When he mailed it, Benjamin put a $0. stamp on the letter. What was the total cost for Benjamin to pay and mail his cell phone bill? 16. Brendan practiced soccer for 1 1 hours on Monday, 1 1 hours on Tuesday, hours on Wednesday, and hour on Thursday in preparation for the game on Friday. How many total hours did Brendan practice soccer in this week? 17. Lucy ran 1 mi on Monday, mi on Tuesday, mi on Thursday, and 6 mi on Friday. Find the total distance Lucy ran this week. 1. At the beginning of the week Derek had $116. in his checking account. During the week, he wrote a check for $. and withdrew $.0 using his ATM card. He also made a deposit of $.9. What was the balance in Derek s account at the end of the week? 19. The value of a stock on Monday morning was $16.. It went up $1.19 on Monday and $0. on Tuesday. The value dropped by $1.9 on Wednesday and fell another $0. on Thursday. What was the stock s value on Friday morning? - Adding and Subtracting Rational Numbers 17

3 Adding and Subtracting Rational Numbers MA..A.6. Perform operations on real numbers (including rational numbers ) using real world 1. Anna had $11. in her bank account. She deposited $. in the account and made an ATM withdrawal of $ How much did she have in her account after these transactions? 6. A town put fencing around the park shown, leaving a 1. foot gap for an entrance. How many feet of fencing were used? 9. ft 0 ft 9 16 ft. Jacinda bought 1.7 yards of fabric. She used all but yards for an art project. 16 How much fabric did she use? 6 ft. Each day, Maria rides her bike from her house to middle school and home again. Her house is.7 kilometers from the middle school. Next year she will go to the high school, which is.7 kilometers from her house. If she rides her bike to and from the high school, how many more kilometers will she travel each day than she does now?. On Monday it rained 0.6 inch. On Tuesday it rained 1 1 inches. How many 16 more inches fell on Tuesday than on Monday?. The elevation of the highest point on the surface of Mars is 1.19 miles. The elevation of the lowest point is.1 miles. What is the difference in elevation of the highest and lowest points? Show your work. 7. Trevor publishes a weekly newsletter on 1_ in. by 11 in. sheets of paper. He always leaves 11 in. margins on the left and the 16 right side of the page. How wide is the part of the page he prints on? Explain.. Gridded Response The gas tank of Cole s car holds 1.7 gallons of gas. One day the tank was partially empty and Cole filled it by adding. gallons of gas. How much gas (in gallons) was in the tank before he filled it? 1 - Adding and Subtracting Rational Numbers

4 - Multiplying Rational Numbers MA..A.6. Perform operations on real numbers (including rational numbers ) using real world Multiply. Write each answer in simplest form ( ). -9 ( ). - (- 16). -1 (. ( ( 9) 6. ( 6 ) ). - ( ) (- ) ( 1 ) 11. ( 1 ) ( -6 1 ) 1. (- ) 1. ( 1. - ( ) 16. ( Multiply. ) ) 7) ( ) ( 1 ) ( -0.0 ) 0.. ( 1. ) 1. Two thirds of the students in a class have pets. There are 6 students in the class. How many of the students have pets?. Celeste bought.7 pounds of bananas at a price of $1. per pound. About how much did she spend on the bananas?. Darnell needs 1 pieces of wood that measure 1 _ inches each. What is the total length of wood that he needs?. Yasmine s savings account had a balance of $6.. Each month for 6 months, she paid $.1 out of her account. What was her account balance after 6 months?. Jean has a job mowing lawns on his street. He can mow _ of a lawn each hour. How many lawns does he mow in an -hour day? - Multiplying Rational Numbers

5 - Multiplying Rational Numbers MA..A.6. Perform operations on real numbers (including rational numbers ) using real world During exercise, a person s target heart rate ranges from 0. to 0.7 times the maximum heart rate shown in the table. Use the table for 1. Age Maximum Heart Rate (beats per minute) What is the lowest target heart rate for a 1 year-old?. Extended Response The recipe card below shows ingredients for making corn bread. The recipe makes servings. 1 1 cups cornmeal cup flour teaspoon salt eggs Corn Bread ( servings) tsp. baking powder cup corn oil cups buttermilk a. Bill wants to make 0 servings of the corn bread. Explain why he will need 1_ times as much of each ingredient.. What are the lowest and highest target heart rates for a 0 year-old?. Is a target heart rate of 10 beats per minute within the target heart beat range for a 1 year-old? Explain.. Sarah has 6 yards of velvet. She wants to use of the velvet to make a skirt and she needs the rest to make two identical hats. How many yards of velvet does she need for each hat? b. How many cups of cornmeal will Bill need? Show your work. c. Bill has exactly cups of flour. Does he have enough to make 0 servings of corn bread? Justify your answer. 6 - Multiplying Rational Numbers

6 - Dividing Rational Numbers MA..A.6. Perform operations on real numbers (including rational numbers ) using real world Divide. Write each answer in simplest form ( 6) ) ). - 1 (- 6 0 ( (- 1 ). - 0 ( 9 ) Divide ( 0.0 ) ( -1. ) Evaluate 1 x for each value of x. 17. x =. 1. x = x = x = Francisco is making rope ties that take 1 1_ inches of rope to make. He has inches of rope. How many rope ties can he make?. Alison is installing a hard wood floor. If the room is 1 ft wide and each plank of wood is 1_ in. wide, how many planks of wood does she need to cover the width of the room?. A school has lockers along a wall outside the school library. If the wall is 1_ feet long and each locker is 1 feet wide, how many lockers are along that wall?. Martin spent $1. on tomatoes at the farm stand. Tomatoes there cost $1.9 per pound. How many pounds did Martin buy, to the nearest tenth of a pound? - Dividing Rational Numbers

7 - Dividing Rational Numbers MA..A.6. Perform operations on real numbers (including rational numbers ) using real world The table below shows the maximum speeds over a quarter mile of several different animals. Use the table for 1. Maximum Speeds of Animals Animal Speed (mi/h) Quarter horse 7.0 Greyhound 9. Human 7.9 Giant tortoise 0.17 Three-toed sloth 0.1 You can find the time it takes to travel a given distance by dividing the distance by the speed. Find the time (in hours) it takes each animal to travel one-quarter mile at top speed. Round to the nearest thousandth. 1. Quarter horse. A serving of a certain kind of cereal is _ cup. There are 1 cups of cereal in one box of the cereal. How many servings are in boxes? 9. The recorded rainfall for each day of a week was 0 in., 1_ in., _ in., 1 in., 0 in., 1 1_ in., 1 1_ in. What was the average rainfall per day? 10. Greta bought a car for $90.0 including taxes. She makes payments of $.0 each month for the car. She hopes to be able to pay off her loan within years? Is that possible? Justify your answer.. Greyhound. Human. Giant tortoise. Three-toed sloth 6. A drill bit that is 7 in. makes a hole that has a diameter of 7 in. If round cables fit perfectly through the hole, what is the diameter of each cable? 11. Short Response Lonnie has 1 _ feet of pipe that he wants to cut into shorter pieces. What is the greatest number of 1 1_ -foot lengths that Lonnie can cut from his pipe? Explain. 7. A piece of ribbon is 1 _ 7 inches long. If the ribbon is going to be divided into 1 pieces, how long should each piece be? - Dividing Rational Numbers

8 -6 Solving Equations with Rational Numbers MA..A.6. Perform operations on real numbers (including rational numbers ) using real world Solve. 1. y -. = -.7. x +.61 =.9. 0.d =.. b - = 17.. a = x = x = -.0. m = = 9.w t.7 = b = r -7.6 =.0 Solve. Write each answer in simplest form y = 1. 1 m = r = x - ( ) = 17. y = Jessica baked 10 dozen cookies. She left of the baked cookies home and took the rest to school for the bake sale. How many cookies did Jessica take to school? 0. Doug must take 1. milliliters of medicine every day. How many days will the medicine last if Doug was given a prescription of the medicine in a bottle containing 0 milliliters? w = Andre grew a plant for a science experiment. At the end of his experiment, the plant was 100. centimeters tall. Andre calculated that the plant grew an average of.6 centimeters per day since the start of his experiment. How many days did Andre s experiment last? -6 Solving Equations with Rational Numbers 1

9 -6 Solving Equations with Rational Numbers MA..A.6. Perform operations on real numbers (including rational numbers ) using real world 1. In the last 10 years, the average height of people in industrialized nations has increased by 1_ foot. Today, American men have an average height of 7 feet. What was 1 the average height of American men 10 years ago? 6. In 00, a sprinter won the gold medal in the 100-m dash with a time of 9. seconds. His time was 0.9 seconds faster than the winner in the 100-m dash in What was winner s time in 1900?. Jamie is using yarn in an art project. She plans to cut the yarn to make pairs of pieces that are _ in. and 1 1_ in. How many pairs of pieces can she make if she has 1_ in. of yarn in all? How much will be leftover? 7. A florist ties 10 1_ inches of ribbon around each of the identical centerpieces for the tables at a wedding banquet. How many centerpieces can the florist make with 0 inches of ribbon?. Pecans cost $7.90 per pound. Todd bought some pecans that cost $.1. Write and solve an equation to find the amount of pecans Todd bought.. The difference between the boiling point and melting point of Hydrogen is 6.7 C. The melting point of Hydrogen is 9. C. What is the boiling point of Hydrogen?. After a morning shower, there was in. of rain in the rain gauge. It rained again an hour later and the rain gauge showed 1_ in. of rain. How much did it rain the second time?. The attendance at last year s fall festival was _ of this year s attendance. Last year 7 attended the festival. If the admission cost to the festival is $6, how much did the festival make in admission costs this year? Justify your answer. 9. Short Response Derek is 66 1_ inches tall, which is 1 _ inches taller than his brother Tim. Tim is _ 7 inches shorter than his sister Sue. Write and solve an equation to find Tim s height. Then write and solve an equation to find Sue s height. -6 Solving Equations with Rational Numbers

10 Got It? Ready to Go On? Go to thinkcentral.com - THROUGH -6 Quiz for Lessons - through -6 - Adding and Subtracting Rational Numbers (Student Textbook pp. 7 76) Add or subtract. Write each answer in simplest form _ (- 6 ) Darius and Jamal ride their bicycles home from school every day. Each day this week, they have timed themselves to see how long the ride takes. On Monday, they made it home in about 0. hour. Today, it took them hour. How much longer did it take today? 10 - Multiplying Rational Numbers (Student Textbook pp. 77 0) Multiply. Write each answer in simplest form.. ( ) 9. ( 7 ) 10..() ( - ) 1. - ( ) 1. (9.)(-.1) 1. Robert has a piece of twine that is _ yard long. He needs a piece of twine that is _ of this length. What length of twine does Robert need to cut? - Dividing Rational Numbers (Student Textbook pp. 1 ) Divide. Write each answer in simplest form (-0.) -6 Solving Equations with Rational Numbers (Student Textbook pp. 6 9) Solve. 1. p - 1. = -. -9w = 1.. m.7 = -. x + 1_ 9 = - _ 7. m - _ = - _ 6. 7 y = y =.. s + 0. = p +.7 = From start to finish, Ellen took 1 _ days to write a research paper for her literature class. This was 9 10 the time it took Rebecca to write her paper. How long did it take Rebecca to write her paper? Chapter Rational Numbers

11 FLORIDA Study It! Multi-Language Glossary Go to thinkcentral.com CHAPTER Vocabulary (Student Textbook page reference) reciprocal Complete the sentence below with the vocabulary word from the list above. 1. The product of a number and its is 1. Lesson - Adding and Subtracting Rational Numbers (Student Textbook pp. 7 76) Add or subtract = + = = (- 11) = -(-) = = = 1 0 = = = 0 =1 0 Multiply denominators, = 0. Add and simplify. Add or subtract. Write each answer in simplest form ( - ) ( -7 1 ) ( -7) 1 MA..A Lesson Tutorial thinkcentral.com Chapter Rational Numbers

12 Simplify Sammie and Lance both jog home after school every day. On Thursday, they made it home in 0.7 hour. On Friday, it took them of an hour. How much longer did it take them to jog home on Thursday than on Friday? 19. Sallie needs 1_ cup of milk for a recipe. She has _ cups of milk. How much more milk does Sallie need? Lesson - Multiplying Rational Numbers (Student Textbook pp. 77 0) MA..A.6. Multiply. Write the answer in simplest form. ( ) = ( 1) ( + 1 ) = ( 1 ) ( 1 ) Write as improper fractions. = 6 = 16 Multiply and simplify. Multiply. Write each answer in simplest form. 0. ( - ) 1. ( ). - ( - ). 11 ( - ). ( 7). ( 1 10) 6. 7 ( ) 7. (-1.7)(-). A file transferred _ GB of data each minute for 1 1_ minutes. How many GB of data were transferred? 9. Kylie needs to cut 6 pieces of yarn that are each foot long. How much yarn does Kylie need? 6 Chapter Rational Numbers Lesson Tutorial thinkcentral.com

13 Lesson - Dividing Rational Numbers (Student Textbook pp. 1 ) MA..A.6. Divide. Write the answer in simplest form. 7 = 7 Multiply by the reciprocal. = 7 1 Divide out common factors. = 7 6, or 1 Simplest form 6 Divide. Write each answer in simplest form Lesson -6 Solve. Solving Equations with Rational Numbers (Student Textbook pp. 6 9) MA..A.6. Solve. x = Add 1.7 to each side. x = x = x = 9 7 x = 1 Multiply both sides by y + 7. = z = w + =. x = p =. 7.x = -1.. y = t = Freda paid $16 for groceries for her family. This was 1 as much as she paid 6 the previous time she went grocery shopping. How much did Freda pay on her previous shopping trip? 7. Amy watched television for hours. Charles watched television for of the time Amy did. How long, in minutes, did Charles watch television? Lesson Tutorial thinkcentral.com Chapter Rational Numbers 7