Group Activity A Chapter 1

Names: Instructor: Date: Section: Group Activity A Chapter 1 Top Grossing Movies TITLE TOTAL GROSS U.S. GROSS COST Titanic 1,834,779,000 600,779,000 200,033000 The Lord of the Rings: The Return of the King 1,129,219,252 377,019,252 94,392,393 Pirates of the Caribbean: Dead Man s Chest 1,060,332,628 423,032,628 225,395,382 Star Wars Episode I: The Phantom Menace 968,657,891 431,065,444 110,023,398 HINT: Gross is the total moneys taken in for each movie, but the profit is total gross cost. 1. How much profit did Titanic make? 1. 2. How much more total gross did Titanic make than The Lord of the Rings: The Return of the King? 2. 3. How much did Titanic make in foreign markets? 3. 4. Which movie made the most profit? 4. 5. Did The Lord of the Rings: The Return of the King or Star Wars Episode I make more profit? 5. 6. Did Pirates of the Caribbean: Dead Man s Chest or Star Wars Episode I: The Phantom Menace make more profit? 6. 7. How much more profit did Titanic make than The Lord of the Rings: The Return of the King in the United States? 7. Copyright 2015 Pearson Education, Inc. G-1

Group Activity B Chapter 1 Top Grossing Movies TITLE TOTAL GROSS U.S. GROSS COST Titanic 1,834,779,000 600,779,000 200,033000 The Lord of the Rings: The Return of the King 1,129,219,252 377,019,252 94,392,393 Pirates of the Caribbean: Dead Man s Chest 1,060,332,628 423,032,628 225,395,382 Star Wars Episode I: The Phantom Menace 968,657,891 431,065,444 110,023,398 Round each number off to the millionth place. TITLE TOTAL GROSS U.S. GROSS COST Titanic The Lord of the Rings: The Return of the King Pirates of the Caribbean: Dead Man s Chest Star Wars Episode I: The Phantom Menace G-2 Copyright 2015 Pearson Education, Inc.

Names: Instructor: Date: Section: I. Group Activity A Chapter 2 1. Use order of operations to evaluate: 3 4 + 2 7 1. 2. Insert one or two sets of parentheses to make the statement true. 3 4 + 2 7 = 11 3. Insert one or two sets of parentheses to make the statement true. 3 4 + 2 7 = 3 2. 3. II. 4. Use order of operations to evaluate: 4 8 2 + 5 4. 5. Insert one or two sets of parentheses to make the statement true. 4 8 2 + 5 = 3 6. Insert one or two sets of parentheses to make the statement true. 4 8 2 + 5 = 17 5. 6. III. 7. Use order of operations to evaluate: 2 + 5 3 2 7. 8. Insert one or two sets of parentheses to make the statement true. 2 + 5 3 2 = 6 9. Insert one or two sets of parentheses to make the statement true. 2 + 5 3 2 = 8 8. 9. IV. Write your own expression using four numbers and any operation (+,,, ) and no parentheses. Evaluate the expression. Then insert parentheses to get two different answers. Copyright 2015 Pearson Education, Inc. G-3

Group Activity B Chapter 2 Lowest Temperature Recorded for Five States 20 0-20 -40 Alaska Montana Minnesota Texas -23 12 Hawaii -60-80 -100-80 -70-60 1. What was the lowest temperature recorded for theses five states? 1. 2. What was the lowest temperature recorded for Minnesota? 2. 3. What is the difference between the lowest temperature of Alaska 3. and the lowest temperature for Texas? 4. What is the difference between the lowest temperature of Alaska 4. and the lowest temperature for Montana? 5. What is the difference between the lowest temperature of Montana 5. and the lowest temperature for Minnesota? 6. What is the difference between the lowest temperature of Alaska 6. and the lowest temperature for Hawaii? 7. What is the difference between the lowest temperature of Montana 7. and the lowest temperature for Hawaii? G-4 Copyright 2015 Pearson Education, Inc.

Names: Instructor: Date: Section: Group Activity A Chapter 3 1. Solve and check: x + 7 = 2x 9 1. 2. Write a new equation with the same answer as you got in problem 1. Solve your equation to check that the solution is the same as 1. 2. 3. Solve and check: 2(x 6) + 3(2x 7) = 3(2x + 7) 3. 4. Write a new equation with the same answers as you got in problem 3. Solve your equation to check that the solution is the same as 3. 4. x 5. 5. Solve and check: 6 8 4 6. Write a new equation with the same answers as you got in problem 5. Solve your equation to check that the solution is the same as 5. 6. Copyright 2015 Pearson Education, Inc. G-5

Group Activity B Chapter 3 I. Solve each equation. Write the answer in the box that corresponds to the letter in the equation. 6a 3 = 4a + 5 3b + 8 = 35 3c + 4 = 2c + 3c f 4(d 3) = 2d 6 5(e 6) + 8 = e 2 1 2 7 6(g 2) + g = 8g 20 3(h 3) 2 = 2(h 5) 3(i + 2) = 4i a = b = c = d = e = f = g = h = i = II. Study the numbers in the box. Do you notice any pattern? G-6 Copyright 2015 Pearson Education, Inc.

Names: Instructor: Date: Section: Group Activity A Chapter 4 Find the indicated fractional portion of each word and record it in the corresponding blank. Compose a hidden message by reading down the columns when you have finished. Last 1 3 of fourth Last 1 2 of step First 3 4 of reed First 3 4 of race First 1 2 of hide Last 4 7 of lattice Last 3 5 of punts First 3 7 of prattle First 3 7 of forward Last 1 2 of pact First 1 2 of leader 1 of ice 1 Last 1 2 of turn Last 3 4 of land Last 3 7 of running First 1 3 of pie First 1 3 of mathematical Last 4 5 of tract Middle 1 2 of part Last 3 4 of rice The message is: Copyright 2015 Pearson Education, Inc. G-7

Group Activity B Chapter 4 Shade the indicated fractional part. Fill in the missing part of the fractions. 1 4 1 4 8 3 4 3 4 8 3 5 3 5 10 G-8 Copyright 2015 Pearson Education, Inc.

Names: Instructor: Date: Section: Group Activity A Chapter 5 Find the balance of the checking account after each activity. Action Amount Balance Beginning Balance $468.36 Pay Rent $400.00 Deposit Paycheck $745.32 Pay Electric Bill $69.39 Pay Telephone Bill $53.28 Write a check for Cash $100.00 Buy Groceries $96.78 Copyright 2015 Pearson Education, Inc. G-9

Group Activity B Chapter 5 Joan runs around a circular path. A sign says that each lap is 1000 feet. 1. If she runs four laps, how far does she run? 1. 2. Find the radius of the circular path. Use 3.14 to approximate pi. Round to the tenth of a foot. 2. r r Joan s friend, Anne, runs with her but she runs slower. She runs six feet to Joan s side, inside the path. 3. Find the radius of the circle that Anne runs. Round to the tenth. 3. 4. How far does Anne run on each lap? Round to the tenth. 4. 5. If she runs four laps, how far does Anne run? 5. Anne s path Joan s path G-10 Copyright 2015 Pearson Education, Inc.

Names: Instructor: Date: Section: Group Activity A Chapter 6 1. Find the missing parts of the triangles. The triangles are similar. 2 3 5 x 4 y x = y = 2. 1 4 inch on a map represents 75 miles. Find out how much is represented by each length. 1 2 2 inches = 1 3 4 inches = 3. 4 pounds of peaches sell for $2.20. What would 5 pounds sell for? Copyright 2015 Pearson Education, Inc. G-11

Group Activity B Chapter 6 Use the Pythagorean Theorem to find the missing side of each right triangle. Round to the nearest hundredth when necessary. 1. 2. 6 10 3 x 4 x 3. 4. x 13 32 x 5 45 5. x 76 x G-12 Copyright 2015 Pearson Education, Inc.

Names: Instructor: Date: Section: Group Activity A Chapter 7 Have one member of the group fill in the hours for the following questions. I. Estimate the best that you can Hours Percent How many hours are you in class each week? How many hours do you study each week? How many hours do you work each week? How many hours do you sleep each week? How many hours do you spend on all other activities? (Hours should total 168) TOTAL II. Find the percent of time spent each week on each activity. III. Can the group recommend ways to make better use of the time? Copyright 2015 Pearson Education, Inc. G-13

Group Activity B Chapter 7 An accountant of a major movie studio estimates the expenses of making a certain movie fit the following pattern. If the movie cost $12,000,000 to make, find the amount spent on each category. Percent Amount Actor s Salaries 30% Director s Salaries 8% Other personnel 10% Sets and studio costs 27% Costumes 5% Computer graphics 20% G-14 Copyright 2015 Pearson Education, Inc.

Names: Instructor: Date: Section: Group Activity A Chapter 8 Go to a parking lot near your building. Count the number of cars, motorcycles, pickup trucks, and SUV s in the lot. Make a pie chart using this information. Copyright 2015 Pearson Education, Inc. G-15

Group Activity B Chapter 8 Use the bar graph to answer the following questions. Miles Driven to School for a Sample of Students Number of Students 100 80 60 40 20 0 80 90 20 30 30 10 0-9 10-19 20-29 30-39 40-49 50-59 Miles 1. How many students in this sample drove 20 29 miles? 1. 2. What range of miles was driven by the most students? 2. 3. How many students drove 30 39 miles? 3. 4. What range of miles was driven by the least number of students? 4. 5. What percent of the students drove 30 39 miles? Estimate to the nearest tenth. 5. G-16 Copyright 2015 Pearson Education, Inc.

Names: Instructor: Date: Section: Group Activity A Chapter 9 A school is making a planter by building a circular brick wall three-feet high and filling it with loam and planting ivy. Find the total cost of the project. The radius of the planter will be 6 feet. Use 3.14 to approximate pi. Round answers to the nearest tenth of a foot or nearest cent. 1. Find the circumference of the planter. 1. 2. A brick wall 3 feet high costs $2.75 a foot to make. Find the cost for building the wall. 2. 3. Find the area of the planter. 3. 4. Loam will be used to fill the planter 2 feet high. How much loam will be needed? Give answer as a whole number. 4. 5. Loam costs $1.50 a cubic foot. What will be the cost of the loam? 5. 6. 1 ivy plant is to be planted every square foot. How many plants are needed? Give answer as a whole number. 6. 7. The plants cost $0.75 each. What will the cost of the plants be? 7. 8. What will be the total cost of the planter? 8. Copyright 2015 Pearson Education, Inc. G-17

Group Activity B Chapter 9 A nurse has to do the following conversions in one day. Round answers to the nearest tenth. 1. 2 gallons of solutions need to be prepared. The solution formula requires the use of ml. Convert 2 gallons to L and then to ml. 1. 2. A prescription is for 50 mg of drug for every 1 kg the patient weighs. The patient weighs 176 pounds. Convert the pounds to kg. 2. 3. 1.6 L of solution is available. Change this to quarts. 3. 4. A prescription calls for 3 grams of drug. The bottle is labeled in mg. Change 3 grams to mg. 4. 5. 75 ml needs to be converted to fluid ounces. 5. 6. Normal temperature for a patient is 98.6 Fahrenheit. Convert to centigrade. 6. G-18 Copyright 2015 Pearson Education, Inc.

Names: Instructor: Date: Section: Group Activity A Chapter 10 What must be added to the first expression to get the second expression? 1. (5x 3), ( 2x + 3) 1. 2. (3x 5), (5x 5) 2. 3. (3x 2 5x + 8), (4x 2 3x 7) 3. 4. (7x 8), (5x + 12) 4. What must be subtracted from the first expression to get the second expression? 5. (9x 8), ( 2x + 3) 5. 6. (x 5), (x 8) 6. 7. (7x 2 4x + 2), (8x 2 3x 2) 7. 8. (9x 5), (7x 4) 8. What must be multiplied by first expression to get the second expression? 9. (5x 3), (5xy 3y) 9. 10. (2x 7), (4x 3 14x 2 ) 10. 11. (3x 2 5), (12x 3 y 20xy) 11. 12. (x 8), (x 2 16x + 64) 12. Copyright 2015 Pearson Education, Inc. G-19

Group Activity B Chapter 10 Write an algebraic expression to represent the perimeter and area of each figure. Simplifyy each expression by adding or multiplying. 1. P = A = x + 2 2x + 4 2x 8 2. P = 3. P = A = A = 3x x 3 4. P = 5. P = A = A = 2x + 3 x + 4 x + 6 x + 4 2x 1 2x + 5 G-20 Copyright 2015 Pearson Education, Inc.

Group Activities Chapter 1 A 1. $1,637,746,000 2. $705,559,748 3. $123,400,000 4. Titanic 5. Lord of the Rings 6. Pirates of the Caribbean 7. $599,919,141 Chapter 1 B 1,835,000,000; 600,779,000; 200,033,000; 1,129,000,000; 377,000,000; 94,000,000; 1,060,000,000; 23,000,000; 225,000,000; 969,000,000; 431,000,000; 110,000,000 Chapter 2 A 1. 7 4 2 7 11 2. 3. 4 2 7 3 4. 7 5. (4 8) 2 + 5 = 3 6. 4 (8 2 + 5) = 17 7. 1 8. 2 + ( 5 3) 2 = 6 9. (2 + 5 3) 2 = 8 IV. answers will vary Chapter 2B 1. 80 2. 60 3. 57 4. 10 5. 10 6. 92 7. 82 Chapter 3A 1. 16 2. answers will vary 3. 23 4. answers will vary 5. 8 6. answers will vary Chapter 3B I. a = 4, b = 9, c = 2 d = 3, e = 5, f = 7 g = 8, h = 1, I = 6 Answers Chapter 4A Three hints for learning math are practice, practice, and practice. Chapter 4B 1 2 4 8 3 6 4 8 3 6 5 10 Chapter 5A 68.36 813.68 744.29 691.01 591.01 494.23 Chapter 5B 1. 4000 ft 2. 159.2 ft 3. 147.2 ft 4. 924.4 ft 5. 3697.6 ft Chapter 6A 1. x = 15 2, y = 10 2. 675 mi, 525 mi 3. $2.75 Chapter 6B 1. 5 2. 6 3. 12 4. 55.22 5. 53.74 Chapter 7A Answers will vary Chapter 7B $3,600,000; $960,000; $1,200,000; $3,240,000; $600,000; $2,400,000 Chapter 8A Answers will vary Chapter 8B 1. 80 2. 30 37 3. 90 4. 50 59 5. 34.6% Chapter 9A 1. 37.7 ft 2. $103.68 3. 113.04 sq ft 4. 226.08 cu ft 5. $339.12 6. 226 plants 7. $169.50 8. $612.30 Chapter 9B 1. 7.6 L (or 7.7 L) 2. 80 pounds 3. 1.7 qt 4. 3000 mg 5. 2.5 fl. Oz. 6. 37 Chapter 10A 1. 3x + 6 2. 2x 3. 2 x 2x 15 4. 2x + 20 5. 11x 11 6. 3 7. 2 x x 4 8. 2x 1 9. y 2 10. 2x 11. 4xy 12. x 8 Chapter 10B 1. P = 5x 2, 2 A = x 2x 8 2 2. P = 12x, A = 9x 3. P = 2x 6, 2 A = x 6x 9 4. P = 4x + 6, 2 A = 2x 7x 4 5. P = 6x + 22, 2 A = 2x 13x 24 Copyright 2015 Pearson Education, Inc. G-21