Skills Practice Skills Practice for Lesson 3.1

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1 Skills Practice Skills Practice for Lesson.1 Name Date Collecting Road Tolls Solving One-Step Equations Vocabulary Write the term from the box that best completes each statement. algebraic equivalent graphical inverse one-step equation solve an equation 1. A(n) check of a solution involves substituting an obtained value into an equation to determine if it produces a true statement.. Two equations are if they have the same solution or solutions.. A(n) check of a solution involves using the graph of an equation to determine if a value is a solution to an equation.. Operations that undo each other are known as operations. 5. If only one operation is required to solve an equation, then it is a(n).. To means to determine values that produce a true statement. Problem Set Write an equation to represent each situation. Do not solve. 1. Every student in Mr. Allen s class has pencils. His class has a total of pencils. How many students are in Mr. Allen s class? Use s to represent the number of students. s. Each gallon of milk costs $. You spent a total of $1 on milk. How many gallons of milk did you buy? Use g to represent the number of gallons.. Carly took more photos than Chen. Carly took a total of photos. How many photos did Chen take? Use p to represent the number of photos taken by Chen.. Maria is 5 years younger than Graham. Maria is 1 years old. How old is Graham? Use g to represent Graham s age. Chapter Skills Practice 19

2 Complete each solution. 5. x 7 15 Original equation x x Add 7 to each side. Equivalent equation The solution of x 7 15 is x.. x 1 Original equation x 1 Subtract 1 from each side. Equivalent equation The solution of x 1 is x. 7. 9x 5 Original equation 9x 5 Divide each side by 9.. The solution of 9x 5 is x. Equivalent equation x Original equation 10 x Multiply each side by Equivalent equation The solution of x is x. 10 Identify the operation you would use to get x by itself on one side of each equation. Then solve the equation. 9. x x 11 1 Subtract 0 from both sides. x x x 0 1. x x x 0 0 Chapter Skills Practice

3 Name Date 15. x.5 1. x 11 Algebraically determine whether each answer is a solution of the equation. 17. The equation g 5 can be used to determine how many gallons of gasoline, g, you purchased for $5, if the gasoline cost $ per gallon. You thought you purchased 15 gallons. Is this correct? g 5 (15) Yes, you purchased 15 gallons of gas. 1. Your dad is baking cookies for every student in your class. He bakes 105 cookies. The total number of students n can be determined using the equation n 105. Are there 0 students in your class? 19. Two divers are scuba diving. The first diver is 0 meters under water, which is 1 meters deeper under water than the second diver. The second diver s depth, d, can be determined using the equation d 1 0. The gauge on the second diver s equipment says he is 1 meters under water. Is his gauge correct? 0. Two birds lay eggs. The first bird lays eggs, which is less eggs than the second bird. The number of eggs laid by the second bird, b, can be determined by the equation b. You thought you counted 11 eggs in the second bird s nest. Is this correct? Chapter Skills Practice 1

4 Graphically determine whether each answer is a solution to the equation. 1. A band s total income, p, is based on the equation p 0t, where t is the number of tickets sold to a show. Using the graph below, if the band s income is $50, did they sell 0 tickets? i Total Income (in dollars) i = 0t Number of Tickets 1 1 t 0 No. According to the graph, when the band s income is $50, they sold 15 tickets.. The total weight, w, in pounds, of a shipment is determined by the equation w 5p, where p is the number of packages shipped. According to the graph below, if the shipment weighed 5 pounds, did it contain 5 packages? 50 5 w Total Weight (in pounds) w = 5p Number of Packages 0 5 p 50 Chapter Skills Practice

5 Name Date. Bill is 1 years older than his nephew, Dave. Bill s age in years, b, can be determined by the equation b 1 d, where d is Dave s age in years. When Bill is 5, is Dave 1? Check the solution on the graph below. 0 b b = d + 1 Bill s Age (in years) Dave s Age (in years) d 0. Michelle earns $15 per hour less to tutor than Joselyn. The total amount in dollars that Michelle earns can be determined by the equation m j 15, where j is the total amount in dollars that Joselyn earns to tutor. Michelle earned $55 on one tutoring job, and she thought Joselyn earned $0. Check the solution on the graph below m Michelle s Earnings (in dollars) m = j j 100 Joselyn s Earnings (in dollars) Chapter Skills Practice

6 Chapter Skills Practice

7 Skills Practice Skills Practice for Lesson. Name Date Decorating the Math Lab Solving Two-Step Equations Vocabulary Explain the similarities and differences between the two terms. 1. one-step equations and two-step equations. algebraic check and graphical check. inverse operation of addition and inverse operation of multiplication Problem Set Use a complete sentence to identify the operations that you would use to solve each equation. Do not solve the equation. 1. t 7 5 Add 7 to both sides and then divide both sides by to solve for t.. f. 10 a. r 1 9 Chapter Skills Practice 5

8 Write an equation to model each situation. Do not solve the equation. 5. Pizza Express delivers to your house. You pay $ for each pizza, plus a $ delivery charge for each order. Your total including delivery was $. Use p to represent the number of pizzas ordered. p. Rent-a-DVD charges a rental fee of $ per DVD, plus a $5 fixed monthly fee. You spend $19 in one month. Use d to represent the number of DVDs rented. 7. A plumber charges a fixed fee of $50 per visit, plus $5 for each hour that he is at your home. The total bill comes to $15. Use h to represent the number of hours the plumber was at your home.. You order party favors online. The favors each cost $, and there is a fixed shipping fee of $11. The total cost of your order was $59. Use f to represent the number of favors you purchased. S olve each equation. 9. 5x w 5x 5x 0 5x x v z k 1 1. r 11 7 Chapter Skills Practice

9 Name Date 15. h s Algebraically determine whether each answer is a solution of the equation. 17. A hospital pays $9 for each set of scrubs plus a delivery fee of $1 per order. The total sets of scrubs ordered, s, for an order that cost $ can be computed using the equation 9s 1. Did the hospital order 50 sets of scrubs? 9(50) Yes, the hospital ordered 50 sets of scrubs. 1. A car rental service charges a monthly fee of $19, plus a rate of $5 for each hour you use a rental car. If your family s total monthly charge was $9, the total number of hours your family used a rental car, h, can be determined using the equation 5h You thought your family used a rental car for 1 hours last month. Are you correct? 19. A school estimates that there are computers in each of several classrooms, plus an additional 1 classrooms that contain no computers. There are 5 total classrooms, and the total number of computers, c, can be determined using the equation c 1 5. Are there 05 total computers in your school? Chapter Skills Practice 7

10 0. During snack time in a preschool, several children eat cups of grapes. Each cup contains 1 grapes, and there are 5 additional children who do not eat any grapes. There are total children in the preschool, and the total number of grapes eaten, g, can be determined using the equation g 5. Did the children eat 9 total grapes? 1 Graphically determine if each answer is a solution of the equation. 1. Mason earns a set rate of $0 per day, plus $ for each hour that he works. The total amount in dollars earned, d, in one day can be determined by the equation d 0 h, where h is the number of hours worked in that day. If he earned $0 in one day, could he have worked for hours? d Total Earned (in dollars) d = 0 + h Total Hours Worked 9 h 10 No. According to the graph, if Mason worked for hours in one day, he would have earned $. Chapter Skills Practice

11 Name Date. Kirstin sells brownies for $ each, and spends $ on baking supplies per day. To determine her daily profit, she calculates her total brownie sales, and then she subtracts the cost of her baking supplies. Her profit, p, for any number of brownies sold in one day, n, can be determined using the equation p n. If her daily profit was $5, did she sell brownies? p Total Profit (in dollars) p = n Total Brownies Sold 0 90 n 100. Aaron has a coupon for a fixed discount of $15 off his next order of T-shirts. Each T-shirt costs $, and his total cost, in dollars, of his next order will be c t 15, where t is the number of T-shirts in the order. If his total order cost was $105, did he buy 15 T-shirts? c Total Cost (in dollars) c = t Total T-shirts Ordered 1 1 t 0 Chapter Skills Practice 9

12 . Jenica charges a $0 fee to walk a dog plus a rate of $ per hour. The total amount of money she charges, m, is expressed by the equation m 0 h, where h is the number of hours she walks the dog. If she charged a total of $1 to walk a dog, did she walk it for hours? 50 m Total Money Charged (in dollars) m = 0 + h 5 7 Number of Hours 9 h Chapter Skills Practice

13 Skills Practice Skills Practice for Lesson. Name Date Earning Sales Commissions Using the Percent Equation Vocabulary Define each term in your own words. 1. commission. commission rate. percent equation Problem Set Use a proportion to calculate the commission earned in each situation. 1. An ice cream salesperson receives a % commission of the total daily sales. What is the salesperson s commission if the total sales on Saturday are $1? 100 c c c The commission is $7.5. Chapter Skills Practice 1

14 . A sales associate in a shoe department earns % of her total sales in commission. On Friday, her total sales were $00. What was her commission?. As a new car salesperson, Ashton earns % commission during his first month of sales. At the end of the month, his total sales are $110,50. How much commission does he receive?. A carpet salesperson earns a 7% commission on his total sales. What is the salesperson s commission for the week if his total sales are $11,0? In each statement below, identify a, b, and p. Then write a percent equation that represents the situation is 0% of 10. a is 7, b is 10, and p is (10). 15 is 75% of Thirty-five percent of 0 is 17.. Seventeen percent of 00 is 51. Chapter Skills Practice

15 Name Date Write and solve a percent equation to answer each question. 9. What is 15% of 10? a (10) a 1 Twenty-one is 15% of What is 0% of 50? 11. Fifteen is what percent of 0? 1. Four is what percent of 0? 1. Fifty-one is 0% of what number? 1. One hundred eighty-three is 0% of what number? 15. Fifty is what percent of 15? 1. One hundred fifty-four is 5% of what number? Chapter Skills Practice

16 Use the given equation to answer each question. 17. Each week, Allison earns a base salary of $10 plus a commission of % of her total sales. Her total earnings for one week are $710, and her total sales, t, in dollars, can be determined by using the equation t. What are her total sales? t t t 10,000 Her total sales are $10, Juan makes a base salary of $50 each week. He also earns 7% commission of his total sales. His total earnings for one week are $10. Using the equation t, what are his total sales, t, in dollars, for that week? 19. Gabriela finds a new job where she earns $170 per week plus an 11% commission of her total sales. If she wants to earn $155 in one week, what should her total sales be? Use the equation t, where t is her total sales in dollars. 0. Each week, Aiden makes a base salary of $0. He also earns a % commission of his total sales. His goal is to earn $55 this week. Using the equation t, what will his total sales, t, in dollars, need to be to reach his goal? Chapter Skills Practice

17 Skills Practice Skills Practice for Lesson. Name Date Rent a Car from Go-Go Car Rentals, Wreckem Rentals, and Good Rents Rentals Using Two-Step Equations, Part 1 Vocabulary Give an example of each term. 1. two-step equation. one-step equation Problem Set Write an equation that represents each situation. Then solve the equation. 1. A long-distance phone call plan charges $15 per month plus $0.15 for each minute of long-distance phone calls. Your monthly bill was $0. How many minutes of long-distance phone calls, m, did you make? m m 15 m 100 You made 100 minutes of long-distance phone calls.. Jada s electric company charges her $ per month plus $0.11 per kilowatt-hour of electricity used. If her bill this month was $5, how many kilowatt-hours, k, did she use?. Caleb s DVD rental program charges him $9 per month plus $0.50 for each DVD he rents. If his bill last month was $1, how many DVDs, d, did he rent? Chapter Skills Practice 5

18 . Madison wants to rent a storage space. The monthly fee is $0 plus $0.0 per square foot of storage space. If she only wants to spend $0 a month on a storage space, how many square feet of storage, s, should she rent? 5. Dylan is placing an online order for baseballs for his baseball team. The shipping cost is $, plus it costs $.10 per baseball ordered. Dylan only has $71 to spend on baseballs. How many baseballs, b, can he order?. Olivia is ordering balloons for a party. The balloon company charges $10 for delivery, plus $1.50 per inflated balloon. Olivia has $7 to spend on balloons. How many balloons, b, can she order? Use the given information to determine which is the better deal. 7. Your family is purchasing new carpeting for your bedroom. The Shaggy Rug charges an installation fee of $15, plus $ per square foot of carpet. The Rug Experts do not charge an installation fee, but they charge $ per square foot for the same carpet. If your bedroom is 50 square feet, which company will charge less? The Shaggy Rug: $15 $(50) $15 $750 $75 The Rug Experts: $(50) $000 The Shaggy Rug costs less for the same amount of carpeting.. Your aunt is opening a coffee shop and she is trying to decide where to purchase coffee beans. Best Beans charges an expensive $7.50 per pound, but they don t charge a shipping fee. Fresh Roasters charges only $ per pound, but they charge a $5 shipping fee. If the daily coffee bean order is 0 pounds, which wholesaler will charge less? Chapter Skills Practice

19 Name Date 9. Janice is making curtains for her living room. Super Drapes charges $ per yard of curtain fabric plus an $ shipping fee. For the same curtain fabric, Crazy Curtains charges $ per yard plus a $0 shipping fee. If Janice needs 1 yards of fabric, which company will charge less? 10. Your uncle is buying new tiles for his bathroom. He needs 5 square feet of tiles to cover the floor. Tile Warehouse charges $1 per square foot for tile, plus an $0 installation fee. For the same tile, Fancy Tile charges $1 per square foot, plus a $0 installation fee. Which company will charge him less? 11. Steven is trying to decide between two different hotels. Seaside Inn charges a $50 booking fee, plus a $15 fee per night. Oceanview Bed and Breakfast charges a $75 booking fee, plus a fee of $100 per night. He will be staying at the hotel for nights. Which hotel will save him money? 1. Lillian is taking a bus to visit her grandparents. She will be traveling 50 miles by bus, and she has a choice between two bus services. Bert s Bus Service charges $5 per ride, plus $0.0 per mile. Coach Express charges $7 per ride, plus $0.50 per mile. Which bus service will cost less? Chapter Skills Practice 7

20 Use each graph to determine which of the three companies is the better deal. 1. Briana is moving to a new apartment and is trying to find the best deal on a rental truck. The total cost, c, in dollars, for each rental company depends on the number of miles, m, that she drives each truck. Using the graph below, which rental truck company will save her money if she is moving miles? c Total Cost (in dollars) Truck Rentals c = 10 + m 5 7 Number of Miles Hava Truck c = 5 + m Lotsa Trucks c = 0 + m 9 m 10 According to the graph, Truck Rentals would save her money. When m, the graph of Truck Rentals shows that its c value, the total cost in dollars, is less than the c values, or total costs, of the other two companies. 1. Nicholas is moving from Delaware to Florida and needs to drive a rental truck 70 miles. The total cost, c, in dollars, depends on the number of miles, m, that he will drive each truck. Using the graph below, which company would cost him the least? c Total Cost (in dollars) The Moving People c = 50 + m Big Movers c = m Fast Movers c = m Number of Miles m Chapter Skills Practice

21 Name Date 15. Ryan wants to have the interior of his house painted and is comparing the rates of three different painters. The total charge, c, in dollars, of the painters depends on the total hours, h, that they work. He estimates that the work will take 0 hours. Which company will charge the least? Total Charge (in dollars) c We Paint for You c = h The Painting Experts c = 0 + 1h Painting Pals c = 0 + h Number of Hours 0 5 h Natalie is having the exterior of her house painted. She uses the graph below to compare the rates of three different painters. The painters calculate their total charge, c, in dollars, based on the number of hours, h, it will take to paint the house. If Natalie knows that it will take 50 hours to paint her house, which company will charge the least? Total Charge (in dollars) c Great Painting c = h Average Painters c = h Paint-it-Right c = h Number of Hours 0 90 h 100 Chapter Skills Practice 9

22 0 Chapter Skills Practice

23 Skills Practice Skills Practice for Lesson.5 Name Date Plastic Containers Using Two-Step Equations, Part Vocabulary Write the term from the box that best completes each statement. one-step equation two-step equation 1. An example of a(n) is h 1 j.. An example of a(n) is 15 q 5. Problem Set Use the given information to complete each table. Then use the table to answer each question. 1. Each step of a ladder is the same distance apart. You measure your height from the ground while standing on each step. What is the height between each step? Step Number Total Height (in inches) The difference in the heights between the first and second steps is 7 1. Each time you go up a step, your total height increases by 1 inches. The height between each step is 1 inches. Chapter Skills Practice 1

24 . Your favorite pizza shop charges the same price for each pizza that you order plus a delivery fee. You record your total bill for each order you make and the total number of pizzas you ordered. What is the cost of each pizza? Total Pizzas Total Bill (in dollars) Ian pays a monthly membership fee to a gym, plus an initial sign-up fee. He records his total membership costs to the gym at the end of each month. What is his monthly membership fee? Number of Months Total Membership Costs (in dollars) A cup of water is heating on a burner at a constant rate. You record the temperature of the water after each minute. By how many degrees does the water increase each minute? Total Minutes Temperature (in degrees Fahrenheit) Chapter Skills Practice

25 Name Date Solve each equation. 5. x. 5x 1 11 x x x 1. x x x x x 97 1 Write and solve an equation to answer each question. 1. A website charges a $15 convenience fee to order concert tickets online. Each ticket costs $. If you spent a total of $159, how many concert tickets did you buy? 15 t 159 t 1 t You bought concert tickets. 1. Your basketball team scored a total of 59 points in one game. All of your baskets were worth points each. Your teammates scored a total of points. How many baskets did you make? Chapter Skills Practice

26 15. On Tuesday, each student in Mr. Ling s class spent $11 on a field trip to the movies. There were 7 students absent from his class that day. If a total of students are in his class, how much money did the students spend on Tuesday at the movie theater? 1. Mrs. Parker s students each write a -page essay, which is due on Friday. Four students are absent on Friday, and all students present turn in their essay. If there are a total of 7 students in Mrs. Parker s class, how many essay pages does she receive on Friday? Use the given graph to answer each question. 17. Diego is trying to determine which form of transportation to take a plane, a rental car, or a train. He plots the average costs on a grid showing the number of miles traveled, m, and the total cost, c. If he has $100 to spend on transportation, what is the farthest that he can travel, and on what form of transportation? c rental car c = 5 + m 00 Total Cost (in dollars) Number of Miles plane c = m train c = m m According to the graph, the greatest m-value when c equals 100 is 75. It is on the line c 5 m. The farthest he can travel is 75 miles in a rental car. Chapter Skills Practice

27 Name Date 1. Liz is choosing a fruit vendor to make deliveries to her store. The graph shows each vendor s charge, c, for p total pounds of fruit. She wants to get as many pounds of fruit as possible for $0. Which fruit vendor should she use? Total Charge (in dollars) c Fruit Mania c = + 1.p The Fruit Stand c = p 10 5 Fruit World c = p Pounds of Fruit 7 p You are trying to choose which music file sharing website to join. Your friends tell you about the three best sites. The graph shows the total monthly cost, c, for any number of music files downloaded, d, from these three sites. For which numbers of songs downloaded per month is All About Music the best deal? c 50 5 We Have Music c = d Total Monthly Cost (in dollars) All About Music c = d Downloads R Us c = d Number of Songs Downloaded d 100 Chapter Skills Practice 5

28 0. There are three different membership plans for the local theater. After paying a fixed annual fee, each plan offers a discounted price on theater tickets. The total dollars you spend on tickets in one year, d, can be determined by the number of tickets, t, you purchase after your membership costs, as shown in the graph. For which yearly number of tickets purchased should you become a member? Total Cost for One Year (in dollars) d Plan 1 d = t Plan d = t Plan d = t Number of Tickets 0 90 t Chapter Skills Practice

29 Skills Practice Skills Practice for Lesson. Name Date Brrr! It s Cold Out There! Integers and Integer Operations Vocabulary Give an example of each term. 1. integer. negative integer. number line. positive integer 5. quotient Problem Set Graph each set of numbers on a number line. Then list the numbers from least to greatest. 1. Scores in the first round of a golf tournament: Player Score Chris Scott Lucas 1 Justin 0 Robert 1 0 1,, 0, 1, Chapter Skills Practice 7

30 . Low elevation points in Africa: Location Elevation (meters) Chott Melrhir, Algeria 0 Mouhoun River, Burkina Faso 00 Gulf of Guinea, Cote d Ivoire 0 Oubangui River, Central Africa Republic 5 Danakil Depression, Ethiopia 15. Temperature extremes in the United States: Location Island Park Dam, Idaho Tallahassee, Florida Chester, Massachusetts Greene, Rhode Island McIntosh, South Dakota Mt. Washington, New Hampshire Temperature ( F) Recorded average temperatures in a town in January: Day Temperature ( F) Monday 10 Tuesday Wednesday Thursday Friday 1 Saturday 0 Chapter Skills Practice

31 Name Date Perform each indicated operation ( 91). 19 ( 0) ( 5). ( 9) 9. ( 5)( 7) 10. ( 5)() ( ) 1. 1( ) Use long division to write each fraction as a decimal ) Chapter Skills Practice 9

32 Write each decimal as a fraction Chapter Skills Practice

33 Skills Practice Skills Practice for Lesson.7 Name Date Shipwreck at the Bottom of the Sea The Coordinate Plane Vocabulary Match each definition to its corresponding term. 1. the horizontal number line in a Cartesian coordinate system a. Cartesian coordinate system. a pair of numbers of the form (x, y) that represents b. coordinate plane a unique position in the coordinate plane. the vertical number line in a Cartesian coordinate system c. ordered pair. the first number in an ordered pair d. origin 5. a method of representing the location of a point using e. x-axis an ordered pair of real numbers of the form (x, y). a plane formed by the intersection of a vertical real f. x-coordinate number line and a horizontal real number line 7. the second number in an ordered pair g. y-axis. the point where the x-axis and y-axis intersect h. y-coordinate in the coordinate plane Chapter Skills Practice 51

34 Problem Set Write an ordered pair to represent the location of each point. 1. A. B A y C y B x A B C D x D (, ). C. D B y C y D C x x A B A D 5 Chapter Skills Practice

35 Name Date 5. E. F y y E F E F H G x G x H 7. G. H y H y H F x G E x E G F 9. I 10. J y J I K L y G x G x I L K J Chapter Skills Practice 5

36 Plot and label each point on the coordinate plane. y H x 11. H(5, 9) 1. A(, 5) 1. E(, 1) 1. D(, ) 15. G(, 9) 1. F(0, 1) 17. B(, ) 1. C(1, ) 19. J(7, ) 0. I(, ) 5 Chapter Skills Practice

37 Skills Practice Skills Practice for Lesson. Name Date Engineering a Highway Using a Graph of an Equation Vocabulary Explain the similarities and differences between the pair of terms. 1. estimate and evaluate Problem Set Use the given equation to answer each question. 1. A bakery can determine the total cost, c, in dollars, of a shipment of muffins, m, using the equation c 0.75m 1. If they order 100 muffins, what will be the total cost of their shipment? c 0.75m 1 c 0.75(100) The total cost of the shipment will be $7.. You occasionally order movies through your cable company. Your family s total monthly cable bill, c, in dollars, can be determined using the equation c 9 5m, where m is the number of movies ordered in that month. If you order movies in one month, what will the total cable bill be?. The amount a dog groomer charges to groom a dog can be determined by using the equation d 5 9h, where d is the total cost, in dollars, and h is the time, in hours, it takes to groom the dog. If it takes 5 hours to groom a dog, what is the total cost? Chapter Skills Practice 55

38 . To ensure that the catering company has enough food, the total number of meatballs, m, that a caterer makes for each event is determined by the equation 0 p m, where p is the total number of people scheduled to attend the event. If the caterer made 50 meatballs, how many people attended the event? 5. Each month, your cell phone company charges you c dollars for sending and receiving text messages, according to the equation t c, where t is the total number of text messages sent or received. If you were charged $ this month for text messaging, how many total text messages did you send and receive?. Your mom belongs to a book club that charges a membership fee. Her total monthly cost, c, in dollars, is determined by the equation 15 11b c, where b is the total number of books ordered that month. If the monthly bill was $10, how many books did she order? Write an equation to represent each problem situation. Then solve each problem. 7. Your sister wants to make sure you have enough total napkins, n, at your family s barbeque. She wants you to purchase 5 napkins for each person, plus an extra 0 napkins. Write an equation to determine the number of napkins you would need for p people. Use your equation to solve for n, when people plan on attending the barbeque. n 0 5p When p : n 0 5() You should purchase 0 napkins if people are going to attend the barbeque. 5 Chapter Skills Practice

39 Name Date. You put your printed photos into photo albums. You put 10 pictures into each album, and there are pictures left over. Using a for the number of albums and p for the total number of pictures, write an equation to determine the number of pictures, p, for any value of a. If you use albums, how many pictures do you have in total? 9. Kiara buys self-assemble furniture, which comes in multiple pieces, for her new apartment. She estimates that her total assembly time, t, in minutes, for each furniture item will be 0 minutes, plus 5 minutes for each piece, p. Write an equation to determine her assembly time for any value of p. Use it to determine the total number of pieces in a furniture item that took her 150 minutes to assemble. 10. A wedding photographer determines that it takes him 0.5 minute to take one picture, plus 0 minutes of set-up time. Determine the total amount of time, t, in minutes, that he should allow for each wedding, if he is required to take p pictures. If he determines that he will spend 155 minutes at the next wedding, how many pictures will he take? Chapter Skills Practice 57

40 11. It takes a baker 0 minutes to gather all of her ingredients. It then takes her 0 minutes to make each batch of bread. Determine the total amount of time, t, in minutes, that it takes the baker to make b batches of bread. If it took the baker a total of 90 minutes one morning to bake bread, how many batches of bread did she make? 1. An old photocopier needs 90 seconds to warm up before making copies. It then takes seconds to make each copy. Determine the total time, t, in seconds, that it takes to make c copies. A recent copy order took the machine a total of 90 seconds. How many copies did the machine make? 5 Chapter Skills Practice

41 Name Date Use the graph to answer each question. 1. You are buying flowers. The total cost of the flowers in dollars, c, including delivery, for the total number of flowers ordered, f, is represented in the graph below. Estimate your total cost if you order a bouquet containing 5 flowers. c Total Cost (in dollars) Total Number of Flowers f 0 According to the graph, when f 5, c is approximately $7.00. Your total cost will be approximately $ You determine that each night you spend 15 minutes on each homework assignment, plus 0 minutes to set yourself up at your desk. The graph below shows the total amount of time, t, in minutes, that it takes you to complete h homework assignments. Using estimation, determine the amount of time, in minutes, it will take you to complete 7 assignments t Total Time (in minutes) Total Number of Homework Assignments h 10 Chapter Skills Practice 59

42 15. Sam earns $0 per week, plus a % commission on all his sales. The graph below shows the total dollars earned in one week, d, for any dollar amount of sales, s. Estimate what his total sales need to be if he wants to earn $900 in one week d Total Weekly Earnings (in dollars) s Total Sales (in dollars) 1. Keryn knows about 0 Spanish words. She takes a language course and learns another 1 words per class. The graph below shows the total number of words she knows, w, after c classes. She wants to know 0 Spanish words before taking a trip to Spain. Use the graph to estimate how many classes she needs to take w Total Spanish Words Learned Total Number of Classes Taken c 0 0 Chapter Skills Practice