# Lesson 1 Homework Practice

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1 Lesson 1 Homework Practice Solve Equations with Rational Coefficients Solve each equation. Check your work Define a variable. Then write and solve an equation for each situation. 13. COOKING Simone peeled 14 potatoes in hour. At this rate, how many potatoes can Simone peel in one hour? 14. VOTING In the eighth grade, 322 students voted for the new mascot to be a tiger. This was of the total number of students in the eighth grade. How many students are in the eighth grade? 15. BUDGETS Rachel budgeted \$76.50 for school clothes. This is 0.45 of her total budget. How much does Rachel have in her total budget? 16. TEMPERATURE Overnight, the temperature dropped 1.3 degrees every hour. How many hours did it take the temperature to drop 7.8 degrees? Course 3 Chapter 2 Equations in One Variable 23

2 Lesson 2 Homework Practice Solve Two-Step Equations SHOPPING Mrs. Williams shops at a store that has an annual membership fee of \$30. Today she paid her annual membership and bought several fruit baskets costing \$15 each as gifts for her coworkers. Her total was \$105. Solve the equation 15b + 30 = 105 to find the number of fruit baskets Mrs. Williams purchased. 26. GAMES A card game has 50 cards. After dealing 7 cards to each player, Tupi has 15 cards left over. Solve the equation to find the number of players. Course 3 Chapter 2 Equations in One Variable 25

3 Lesson 3 Homework Practice Write Two-Step Equations Translate each sentence into an equation. 1. Three more than eight times a number is equal to Twelve less than seven times a number is Four more than twice a number is Nine less than five times a number is equal to 30. Define a variable. Then write and solve an equation to solve each problem. 5. ART Ishi bought a canvas and 8 tubes of paint for \$ If the canvas cost \$6.95, how much did each tube of paint cost? 6. ENGINEERING The world s two highest dams are both in Tajikistan. The Rogun dam is 35 meters taller than the Nurek dam. Together they are 635 meters tall. Find the height of the Nurek dam. 7. U.S. PRESIDENTS Use the information at the right. a. If you double President Reagan s age at the time of his first inauguration and subtract his age at the time he died, the result is 45 years. How old was President Reagan when he died? b. If you divide the age of the first President Bush when he was inaugurated by 2 and add 14 years, you get the age of President Clinton when he was first inaugurated. How old was President G. H. W. Bush when he was inaugurated? President Age at First Inauguration J. Carter 52 R. Reagan 69 G. H. W. Bush? W. Clinton 46 G. W. Bush GEOMETRY Find the value of x in the triangle at the right. 9. ALGEBRA Three consecutive integers can be represented by n, n + 1, and n + 2. If the sum of three consecutive integers is 57, what are the integers? Course 3 Chapter 2 Equations in One Variable 27

4 Lesson 4 Homework Practice Solve Equations with Variables on Each Side 1. 9m + 14 = 2m 2. 13x = x 3. 8d 25 = 3d 4. t 27 = 4t 5. 7p 5 = 6p z 5 = 9z h = h f = f y + 17 = 3y x 32 = 7x a 16 = 4a v = 6v Define a variable, write an equation, and solve to find each number. 13. Fourteen less than five times a number is three times the number. 14. Twelve more than seven times a number equals the number less six. Write an equation to find the value of x so that each pair of polygons has the same perimeter. Then solve Write and solve an equation to solve each exercise. 17. GOLF For an annual membership fee of \$500, Mr. Bailey can join a country club that would allow him to play a round of golf for \$35. Without the membership, the country club charges \$55 for each round of golf. How many rounds of golf would Mr. Bailey have to play for the cost to be the same with and without a membership? 18. MUSIC Marc has 45 CDs in his collection, and Corinna has 61. If Marc buys 4 new CDs each month and Corinna buys 2 new CDs each month, after how many months will Marc and Corinna have the same number of CDs? Course 3 Chapter 2 Equations in One Variable 31

5 Lesson 5 Homework Practice Solve Multi Step Equations ( ) BACKPACKING Guido and Raoul each went backpacking in Glacier National Park. The expressions and represent the respective distances Guido and Raoul hiked each day. On what day number d will their distance hiking be the same? 8. SAVINGS The table at the right shows the savings account balance of each of the Alvarez siblings. a. Write an equation to find the amount of money in Petros s account if the total of all of their accounts is \$148. b. Solve the equation from part a to find the amount of money in Petros s account. Sibling Account Balance Cindy s Petros 2(s + 3) Nila 4s 5 9. LAWNS Luisa mows lawns during the summer. She charges \$15 if she cuts the grass but charges \$5 more if she also trims the grass. Last week she trimmed 5 more yards than she cut. If she made \$415 last week, how many yards did she trim? Course 3 Chapter 2 Equations in One Variable 33

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