Extra Practice - Weebly

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Extra PracticeExtra Practice Chapter 1Lesson1-1Skills PracticeExtra Practice Chapter 1Give two ways to write each algebraic expression in words. 1–4. See Additional Answers.121. x 82. 6( y)3. g - 44.hEvaluate each expression for a 4, b 2, and c 5.a27. c - a 18. ab 85. b c 76.bWrite an algebraic expression for each verbal expression. Then evaluate thealgebraic expression for the given values of y.VerbalAlgebraicy 9y 6y reduced by 4y-45210.the quotient of y and 3y 33211.5 more than yy 5141112.the sum of y and 2y 21189.Lesson1-5Solve each equation. Check your answer.1-213. x - 9 5 1414. 4 y - 12 1616. 7.3 b 3.4 3.917. -6 j 5 1145. Two times the difference of a number and 4 is the same as 5 less than the number.1-6Lesson3 715. a 625518. -1.7 -6.1 k 4.4n 15 7521.5k -2422. -6 4r 5 1323.2.624. 3b 27 925. 56 -7d -826. -3.6 -2f 1.81 z 3 1227.44 g 1528. 12 51 a -5 -1529.3Lesson1-8Lesson1-9Lesson51-1034. 23 9 - 2d -737. 6n 4 22 3Write an equation to represent each relationship. Solve each equation.38. The difference of 11 and 4 times a number equals 3. 11 - 4x 3; x 259. A car traveled 210 miles in 3 hours. Find the unit rate in miles per hour. 70 mi/h60. A printer printed 60 pages in 5 minutes. Find the unit rate in pages per minute. 12 pages/min83Applications Practice10. Geometry The formula A 12 bh gives thearea A of a triangle with base b and heighth. (Lesson 1-6)a. Solve A 12 bh for h. h 2Abb. Find the height of a triangle with an area of30 square feet and a base of 6 feet. 10 ft11. Charles is hanging a poster on his wall. Hewants the top of the poster to be 84 inchesfrom the floor but would be happy for it to be3 inches higher or lower. Write and solve anabsolute-value equation to find the maximumand minimum acceptable heights.(Lesson 1-7) x - 84 3; 87 in.; 81 in.3. Economics In 2004, the average price of anounce of gold was 47 more than the averageprice in 2003. The 2004 price was 410. Writeand solve an equation to find the average priceof an ounce of gold in 2003. (Lesson 1-2)x 47 410; 3634. During a renovation, 36 seats were removedfrom a theater. The theater now seats 580people. Write and solve an equation to findthe number of seats in the theater before therenovation. (Lesson 1-2) x - 36 580; 61612. The ratio of students to adults on a schooltrip is 9 : 2. There are 6 adults on the trip. Howmany students are there? (Lesson 1-8) 2713. A cheetah can reach speeds of up to103 feet per second. Use dimensional analysisto convert the cheetah’s speed to miles perhour. Round to the nearest tenth. (Lesson 1-8)5. A case of juice drinks contains 12 bottles andcosts 18. Write and solve an equation to findthe cost of each drink. (Lesson 1-2)70.2 mi/h12x 18; 1.5014. Write and solve a proportion to find the heightof the flagpole. (Lesson 1-9) 5.4 x ; 18 ft6. Astronomy Objects weigh about 3 timesas much on Earth as they do on Mars. Arock weighs 42 lb on Mars. Write and solvean equation to find the rock’s weight on1 x ; 126 lbEarth. (Lesson 1-2) 42 8.137. The county fair’s admission fee is 8 and eachride costs 2.50. Sonia spent a total of 25.50.How many rides did she go on? (Lesson 1-4) 727¶x {ÊvÌ8. At the beginning of a block party, thetemperature was 84 . During the party, thetemperature dropped 3 every hour. At the endof the party, the temperature was 66 . Howlong was the party? (Lesson 1-4) 6 hoursn ÊvÌÓÇÊvÌ15. Coins Alex and Aretha found the mass of ahalf dollar coin with an exact mass of 11.340 g.Alex’s measure was 11.3 g. Aretha’s was 11.338 g.Whose measure was more precise? Whose ismore accurate? (Lesson 1-10) Aretha; Aretha9. Consumer Economics A health insurancepolicy costs 700 per year, plus 15 for eachvisit to the doctor’s office. A different plancosts 560 per year, but each office visit is 50.Find the number of office visits for which thetwo plans have the same total cost.(Lesson 1-5) 416. Manufacturing The weight of a box of WheatTreats cereal is 16 oz with a tolerance of 0.2 oz.Is a box with a weight of 15.85 oz acceptable?Explain. (Lesson 1-10)Yes; 16 - 15.85 0.15 0.2EPA2CS10 A1 MESE612225 EM EPAc01.indd EPA2EC10 ft10 ftDG7.5 ftF70. 3.3 cm; 3.28 cm76. 15 cm 1%14.85 cm–15.15 cm77. 80 lb 0.2%79.84 lb–80.16 lbEPS32025011 7:27:16CS10 A1 MESE612225 EM EPSc01.inddAMEPS32. Find the number of chromosomes in 8, 15, and50 skin cells. 368; 690; 2300x ftHy ftb-2 7 1366.412 371. 5.6 cm; 55.8 mm72. 1372 mg; 1.4 g73. 1100 m; 1 km74. Scale A measures a mass of exactly 12.000 ounces to be 12.015 ounces. Scale Bmeasures the mass to be 12.02 ounces. Which scale is more precise? Which is moreaccurate? Scale A; Scale B75. 10 mg 0.5%CS10 A1 MESE612225 EM EPSc01.indd EPS21. Write an expression for the number ofchromosomes in c skin cells. 46cr 10 3063.7 735 3 5965.x - 3 10 3Choose the more precise measurement in each pair.68. 7.25 lb; 7 lb69. 11 in.; 11.6 inchesEPS2In general, skin cells in the human body contain46 chromosomes. (Lesson 1-1)52 2562.m 5 267. In the diagram, ABCD EFGH.Find (a) the value of x and (b) theBvalue of y. x 25, y 34 ft9.95 mg–10.05 mgBiology Use the following information forExercises 1 and 2.55. p - 5 - 12 -9 2, 8Write the possible range of each measurement. Round to the nearest hundredth ifnecessary.39. Thirteen less than 5 times a number is equal to 7. 5x - 13 7; x 4Extra Practice Chapter 152. g 5 11 -16, 6 Ax 7; x 354x -20; x -5 2x2 64.83Write an equation to represent each relationship. Then solve the equation.30. A number multiplied by 4 is -20.31. The quotient of a number and 5 is 7.f36. - 4 2 183Solve each equation. Check your answer.50. a 13 1351. x - 16 3 19f53. 7s - 6 8 254. 1 15 -32, 282Solve each proportion.5 10h 61.46 3Solve each equation. Check your answer.2 b 6 10 1035.5 p - 2 - 1556. 500 25 z 200 12 57. 7j 14 - 5 16 -5, 1 58. -1 -8, 1256 x -3; x -9Solve each equation. Check your answer.32. 2k 7 15 433. 11 - 5m -4 332, 33. See Additional Answers.Solve each equation for the indicated variable.5 - c d - 7 for c46. q - 3r 2 for r r 2 - q47.c -6d 476-3y10 3g48. 2x 3 5 for y49. 2fgh - 3g 10 for h h 208x4y 2fg31-31-443. 7 3d - 5 -1 2d - 12 d no solutions44. Three more than one-half a number is the same as 17 minus three times the number.LessonLessonLesson41. 3g 7 11g - 17 342. -8 4y y - 6 3y - 2Write an equation to represent each relationship. Then solve the equation.Write an equation to represent each relationship. Then solve the equation.19. A number decreased by 7 is equal to 10. 20. The sum of 6 and a number is -3.x - 7 10; x 17Solve each equation. Check your answer.40. 5b - 3 4b 1 4all real numbers1-7LessonSkills PracticeExtra Practice2025011 7:13:45 AMEPCH12025011 7:27:28 AM

Extra PracticeExtra Practice Chapter 2Lesson2-1Skills Practice 1–5. See Additional Answers.LessonDescribe the solutions of each inequality in words.1. 3 v -22. 15 k 43. -3 n 64. 1 - 4x -2Graph each inequality. 6.-3 -2 -15. f 26. m -18. (-1 - 1)2 p01232 7. 4 32 cWrite the inequality shown by each graph.9.ä ÓÎ{xÈäÓ{Èn ä Ó11.13. Î Ó ä Ó10.x 812.x -1Î x 3 Î Ó ä ÓÎ -6 -4 -20246 ÓÎ{x 2-4 x -2LessonWrite each inequality with the variable on the left. Graph the solutions.15. 14 b b 1416. 9 g g 917. -2 x x -2 18. -4 k k -4 2-22-5 25. Three less than a number r is less than -1. r - 3 -1; r 226. A number k increased by 1 is at most -2. k 1 -2; k -3 Lesson Solve each inequality and graph the solutions.30. 24 4b b 634. 4p -2 p -31. 27g 81 g 33s 31 35.s 8x 3 x 1532.53d d 036. 0 733. 10y 2 y 70. 2(5 - b) 3 - 2bno solutionsSolve each compound inequality and graph the solutions.73. 6 3 x 8 3 x 574. -1 b 4 3 -5 b -175. k 5 -3 OR k 5 176. r - 3 2 OR r 1 4 r 5 OR r 377.1ä ÓÎx -1 OR x 1-4 x 0 È { ÓäÓ{È80. all real numbers between -3 and 1 -3 x 15a 3 a 637.4878. Î Ó Write and graph a compound inequality for the numbers described.79. all real numbers less than 2 and greater than or equal to -1 -1 x 2Lesson2-7Solve each inequality and graph the solutions.81. n 5 2682. x 6 13 -7 x 7 83. 4 k 12 -3 k 384. c - 8 1885. 6 p 48-31 n 21c -10 OR c 26Solve each inequality.87. a -2 -5Write an inequality for each statement. Solve the inequality and graph thesolutions.1 and a number is not more than 6. 1 x 6; x 1246. The product of2r 3; r2 -1547. The quotient of r and -5 is greater than 3.no solutionsall real numbersWrite the compound inequality shown by each graph.82-2e 4 e -10 40. 8 -12y y - 2 41. -3.5 14c c - 138. -3k -12 k 4 39.543h h -18 43. 49 -7mm -744. 60 -12c c -5 45. -1 q -6 q 1842. 9 -2369. 4(k 2) 4k 5k -8 OR k -4Use the inequality 4 z 11 to fill in the missing numbers.27. z 728. z - 3 429. z - 3 42-35 1u-1u66. 2(7 - s) 4(s 2) s 1 67.u 1532 665. 4v - 2 3v v 23x - 5 4x ; x -52-6 72. One less than a number is greater than the product of 3 and the difference of 5 andthe number. x - 1 3(5 - x); x 4 Solve each inequality and graph the solutions.all real numbersj -723. Five more than a number v is less than or equal to 9. v 5 9; v 4LessonWrite an inequality to represent each relationship. Solve your inequality.71. The difference of three times a number and 5 is more than the number times 4.Write an inequality to represent each statement. Solve the inequality and graphthe solutions.24. A number t decreased by 2 is at least 7. t - 2 7; t 952f 352. 4 f 22578324154. h 55. (10k - 2) 1 k h 53 431093 8q - 2 2 -3 q 12 57. 37 - 4d 3 4 2 d 8 58. -)(4Use the inequality -6 - 2w 10 to fill in the missing numbers.59. w -860. w - 3 -1161. 9 w 13 253. 10 3(4 - r) r 356. -n - 3 -2 3 n 5Solve each inequality.22. 9 j 2a 3w -1568. 3 3c 6 3cSolve each inequality and graph the solutions.19. 8 d - 4 d 12 20. -5 10 w21. a 4 7LessonSolve each inequality and graph the solutions.250. 3t - 2 5 t 751. -6 5b - 4 b -x 3ÈSkills Practice For graphs, Additional Answers.Write an inequality for each statement. Solve the inequality and graph the solutions.62. SeeAdditional 62. Twelve is less than or equal to the product of 6 and the difference of 5 and a number.Answers.63. The difference of one-third a number and 8 is more than -4. 1 x - 8 -4; x 12364. One-fourth of the sum of 2x and 4 is more than 5. 1 (2x 4) 5; x 84x -414.ä 50–58, 63–67, 73–76, 79–86, 90, 91.Extra Practice Chapter 2p -8 OR p 888. 2 w 5 3no solutions86. 3 t - 1 5t -9 OR t 389. s 12 8all real numbersWrite and solve an absolute-value inequality for each expression. Graph thesolutions on a number line.90. All numbers whose absolute value is greater than 14. x 14; x -14 OR x 14-591. All numbers whose absolute value multiplied by 3 is less than 27. 3 x 27; -9 x 9w -6; w 2449. The quotient of w and -4 is less than or equal to -6.48. The product of -11 and a number is greater than -33. -11x -33; x 3-4EPS4EPS5CS10 A1 MESE612225 EM EPSc02.indd EPS42025011 7:30:25CS10 A1 MESE612225 EM EPSc02.inddAMEPS5Extra Practice Chapter 2Applications Practice1–4, 11, 12. See Additional Answers.1. At a food-processing factory, each box ofcereal must weigh at least 15 ounces. Definea variable and write an inequality for theacceptable weights of the cereal boxes. Graphthe solutions. (Lesson 2-1)8. The admission fee at an amusement park is 12, and each ride costs 3.50. The park alsooffers an all-day pass with unlimited rides for 33. For what numbers of rides is it cheaper tobuy the all-day pass? (Lesson 2-4)2. In order to qualify for a discounted entry fee ata museum, a visitor must be less than 13 yearsold. Define a variable and write an inequalityfor the ages that qualify for the discountedentry fee. Graph the solutions. (Lesson 2-1)9. The table shows the cost of Internet access attwo different cafes. For how many hours ofaccess is the cost at Cyber Station less than thecost at Web World? (Lesson 2-5)greater than 6 ridesgreater than 16 hoursInternet Access3. A restaurant can seat no more than 102customers at one time. There are already96 customers in the restaurant. Write andsolve an inequality to find out how manyadditional customers could be seated in therestaurant. (Lesson 2-2)Cafe4. Meteorology A hurricane is a tropicalstorm with a wind speed of at least 74 mi/h.A meteorologist is tracking a storm whosecurrent wind speed is 63 mi/h. Write and solvean inequality to find out how much greater thewind speed must be in order for this storm tobe considered a hurricane. (Lesson 2-2)Length (in.)3.5Blue gourami1.5WebWorldNo membership fee 2.25 per hourgreater than 8 hours11. Health For maximum safety, it isrecommended that food be stored at atemperature between 34 F and 40 Finclusive. Write a compound inequalityto show the temperatures that are withinthe recommended range. Graph thesolutions. (Lesson 2-6)Freshwater FishRed tail catfish 12 one-time membership fee 1.50 per hour10. Larissa is considering two summer jobs. Ajob at the mall pays 400 per week plus 15for every hour of overtime. A job at the movietheater pays 360 per week plus 20 for everyhour of overtime. How many hours of overtimewould Larissa have to work in order for thejob at the movie theater to pay a higher salarythan the job at the mall? (Lesson 2-5)Hobbies Use the following information forExercises 5–7.When setting up an aquarium, it is recommendedthat you have no more than one inch of fish pergallon of water. For example, in a 30-gallon tank,the total length of the fish should be at most30 inches. (Lesson 2-3)NameCostCyberStation12. Physics Color is determined by thewavelength of light. Wavelengths aremeasured in nanometers (nm). Our eyes seethe color green when light has a wavelengthbetween 492 nm and 577 nm inclusive.Write a compound inequality to show thewavelengths that produce green light. Graphthe solutions. (Lesson 2-6)5. Write an inequality to show the possiblenumbers of blue gourami you can put in a10-gallon aquarium. 1.5x 106. Find the possible numbers of blue gouramiyou can put in a 10-gallon aquarium.13. Allison ran a mile in 8 minutes. She wantsto run a second mile within 0.75 minute ofher time for the first mile. Write and solve anabsolute-value inequality to find the range ofacceptable times for the second mile.(Lesson 2-7) x - 8 0.75; 7.25 x 8.750, 1, 2, 3, 4, 5, or 67. Find the possible numbers of red tail catfishyou can put in a 20-gallon aquarium.0, 1, 2, 3, 4, or 5EPA3CS10 A1 MESE612225 EM EPAc02.indd EPA3Extra Practice2025011 7:16:43 AMEPCH22025011 7:30:39 AM

Extra PracticeExtra Practice Chapter 3Lesson3-1Skills PracticeExtra Practice Chapter 3Choose the graph that best represents each situation.1. A person blows up a balloon with a steady airstream. BLesson3-42. A person blows up a balloon and then lets it deflate. A3. A person blows up a balloon slowly at first and then uses more and more air. C À « Ê À « ÊSkills PracticeGraph each function for the given domain. 19–23. See Additional Answers. 19. 2x - y 2; D: -2, -1, 0, 1 20. f(x) x 2 - 1; D: -3, -1, 0, 2 Graph each function.21. f(x) 4 - 2x22. y 3 2x23. y -5 x 25 - 2x to find the value of y when x 1. 324. Use a graph of the function y 22 2Check your answer. À « Ê/ iLesson3-226. Find the value of y so that (-3, y) satisfies y 15 - 2x 2. y -36 Õ i6 Õ i6 Õ i25. Find the value of x so that (x, 4) satisfies y -x 8. x 4/ i/ iExpress each relation as a table, as a graph, and as a mapping diagram. 4–7. See Additional Answers.5. (2, 8), (4, 6), (6, 4), (8, 2) 4. (0, 2), (-1, 3), (-2, 5) Give the domain and range of each relation. Tell whether the relation is a function.Explain. 6. (3, 4), (-1, 2), (2, -3), (5, 0) 7. (5, 4), (0, 2), (5, -3), (0, 1) y8.9.9. See Additionalx2012-1y10-1-23-529. ÞÝpos.ÝChoose the scatter plot that best represents the described relationship. Explain. À « Ê34. the number of students in a class and the À « Ê ÞÞgrades on a test B424635. the number of students in a class and thenumber of empty desks Ax832–35. For explanations, see Additional Answers.Determine a relationship between the x- and y-variables. Write an equation. 11. See p. x. 10. (1, 3), (2, 6), (3, 9), (4, 12) 11.x1234 y is 3 times x ; y 3xÝ33. a person’s height and the color of the person’s eyes no correlation603-331. Þneg.no correlation2Lesson30. ÞIdentify the correlation you would expect to see between each pair of data sets. Explain.32. the number of chess pieces captured and the number of pieces still on the board neg.Answers.8-3D: {-1, 0, 1, 2}; R: {-3, -2, -1, 0, 1};no; the domain value 2 is paired with1 and -2.LessonFor each function, determine whether the given points are on the graph.x 4; -3, 3 and 3, 5 yes; yes27. y 28. y x 2 - 1; (-2, 3) and (2, 5) yes; no)(( )3Describe the correlation illustrated by each scatter plot.y149Lesson3-616Identify the independent and dependent variables. Write an equation in functionnotation for each situation.12. A science tutor charges students 15 per hour. ind.: hours; dep.: cost; f (h) 15hÝÝDetermine whether each sequence appears to be an arithmetic sequence. If so, findthe common difference and the next three terms.36. -10, -7, -4, -1, yes; d 3; 2, 5, 8 37. 8, 5, 1, -4, no38. 1, -2, 3, -4, no39. -19, -9, 1, 11, yes; d 10; 21, 31, 41Find the indicated term of each arithmetic sequence.13. A circus charges a 10 entry fee and 1.50 for each pony ride.40. 15th term: -5, -1, 3, 7, 5141. 20th term: a 1 2; d -5 -9314. For f (a) 6 - 4a, find f (a) when a 2 and when a -3. -2; 182 d 3, find g (d) when d 10 and when d -5.15. For g (d) 7; 1516. For h (w) 2 - w 2, find h (w) when w -1 and when w -2. 1; -242. 12th term: 8, 16, 24, 32, 9643. 21st term: 5.2, 5.17, 5.14, 5.11, 4.6ind.: number of pony rides; dep.: cost; f (r) 10 1.5rFind the common difference for each arithmetic sequence.7,10 , 31 , 1,44. 0, 7, 14, 21, 745. 132, 121, 110, 99, -11 46.44 4447. 1.4, 2.2, 3, 3.8, 0.848. -7, -2, 3, 8, 549. 7.28, 7.21, 7.14, 7.07, -0.0718. Complete the table for h(s) 2s s 3 - 6.17. Complete the table for f (t ) 7 3t.t0123s-1012f(t)7101316h(s)-9-6-36Find the next four terms in each arithmetic sequence.50. -3, -6, -9, -12, -15, -18, -21, -2451. 2, 9, 16, 23, 30, 37, 44, 515 , 7 , 3, 11 , 131,1 , 1,52. -53. -4.3, -3.2, -2.1, -1, 0.1, 1.2, 2.3, 3.43 3333 3EPS6EPS7CS10 A1 MESE612225 EM EPSc03.indd EPS62025011 10:30:18CS10 A1 MESE612225 EM EPSc03.inddAMEPS7Extra Practice Chapter 3Applications Practice1–4, 7–8. See Additional Answers.1. Donnell drove on the highway at a constantspeed and then slowed down as sheapproached her exit. Sketch a graph toshow the speed of Donnell’s car over time.Tell whether the graph is continuous ordiscrete. (Lesson 3-1)7. The function y 3.5x describes the numberof miles y that the average turtle can walk inx hours. Graph the function. Use the graph toestimate how many miles a turtle can walk in4.5 hours. (Lesson 3-4)8. Earth Science The Kangerdlugssuaq glacierin Greenland is flowing into the sea at therate of 1.6 meters per hour. The functiony 1.6x describes the number of meters ythat flow into the sea in x hours. Graph thefunction. Use the graph to estimate thenumber of meters that flow into the sea in8 hours. (Lesson 3-4)2. Lori is buying mineral water for a party. Thebottles are available in six-packs. Sketch agraph showing the number of bottles Loriwill have if she buys 1, 2, 3, 4, or 5 six-packs.Tell whether the graph is continuous ordiscrete. (Lesson 3-1)3. Health To exercise effectively, it is importantto know your maximum heart rate. You cancalculate your maximum heart rate in beatsper minute by subtracting your age from220. (Lesson 3-2)9. The scatter plot shows a relationship betweenthe number of lemonades sold in a day andthe day’s high temperature. Based on thisrelationship, predict the number of lemonadesthat will be sold on a day when the hightemperature is 96 F. (Lesson 3-5) 48a. Express the age x and the maximum heartrate y as a relation in table form by showingthe maximum heart rate for people who are20, 30, 35, and 40 years old.i iÊ- iÃb. Is this relation a function? Explain.näÕ«ÃÊà 4. Sports The table shows the number of gameswon by four baseball teams and the numberof home runs each team hit. Is this relation afunction? Explain. (Lesson 3-2)Home Runs95185931338014093167{äÓäSeason StatisticsWinsÈääÓä{äÈänä } ÊÌi «iÀ ÌÕÀiÊ c 10. In month 1 the Elmwood Public Library had 85Spanish books in its collection. Each month,the librarian plans to order 8 new Spanishbooks. How many Spanish books will thelibrary have in month 15? (Lesson 3-6) 1975. Michael uses 5.5 cups of flour for each loafof bread that he bakes. He plans to bake amaximum of 4 loaves. Write a function todescribe the number of cups of flour used.Find a reasonable domain and range for thefunction. (Lesson 3-3)11. Nikki purchases a card that she can use toride the bus in her town. Each time she ridesthe bus 1.50 is deducted from the value ofthe card. After her first ride, there is 43.50left on the card. How much money will bef(x) 5.5x ; D: {0, 1, 2, 3, 4}; R: {0, 5.5, 11, 16.5, 22} left on the card after Nikki has taken 12 busrides? (Lesson 3-6) 276. A gym offers the following special rate. Newmembers pay a 425 initiation fee and thenpay 90 per year for 1, 2, or 3 years. Writea function to describe the situation. Finda reasonable domain and range for thefunction. (Lesson 3-3)f(x) 425 90x; D: {1, 2, 3}; R: { 515, 605, 695}EPA4CS10 A1 MESE612225 EM EPAc03.indd EPA4Extra Practice2025011 7:17:48 AMEPCH32025011 10:30:36 AM

Extra PracticeExtra Practice Chapter 4Lesson4-1Skills Practice1–7, 9, 10, 14–17.See Additional Answers.Extra Practice Chapter 4Identify whether each graph represents a function. Explain. If the graph doesrepresent a function, is the function linear?1.2.Þ{3.Þ{Lesson4-6ÞÓ È {ä Ó {ä ÓÓ{ {ä ÓTell whether the given ordered pairs satisfy a linear function. -210. -4x 2y - 1x-int.: 3; y-int.: -312. 2x - 3y 12x-int.: 6; y-int.: -4Find the slope of each line.4-318.{19.ÞnÓ {Lesson4-4ä ÓÓ{ n { Ó { { n4-7{nWrite an equation in point-slope form for the line with the given slope thatcontains the given point.y - 4 1 (x - 2)y 1 -1(x - 1)21 ; (2, 4)40. slope 2; (0, 3)41. slope -1; (1, -1)42. slope 2y - 3 2(x - 0)3Write the equation that describes each line in slope-intercept form.44. y - x - 143. slope 3, (-2, -5) is on the line.44. (-1, 1) and (1, -2) are on the line.45. (3, 1) and (2, -3) are on the line.46. x-intercept 4, y-intercept -5Wingspan (cm)158175166171189Height (cm)1571661691621802y 25 x - 54y 0.72x 42;47. Find an equation for a line of best. How well does the line fit the data? very well (r 0.93)348. Use your equation to predict the height of a person with a wingspan of 184 cm.about 174.5 cmLesson4-8Write an equation in slope-intercept form for the line that is parallel to the givenline and that passes through the given point.49. y -2x 3; (1, 4)y -2x 650. y x - 5; (2, -4)y x-651. y 3x; (-1, 5) y 3x 8Write an equation in slope-intercept form for the line that is perpendicular to thegiven line and that passes through the given point.2325. 3x 15 5y52. y x 1; (3, -2)5y -x 1Lesson2328. 3y 2x yes;27. x - y 3 noy x-3y 4x - 11Tell whether each equation represents a direct variation. If so, identify the constantof variation.12Your wingspan is the distance between the tips of your middle fingers whenyour arms are stretched out at your sides. The table shows the wingspans andheights in centimeters of several people.2226. x - 2y 0 yes;x(2, -1)4-2(-2, -5)y 3x 1Þ4-5LessonFind the slope of the line that contains each pair of points.20. (-1, 2) and (-4, 8) -2 21. (2, 6) and (0, 1) 522. (-2, 3) and (4, 0) - 1Find the slope of the line described by each equation.23. 2y 42 - 6x -324. 3x 4y 12 - 3Lessonä0-2217. -2y x 2Ý00y -1x 23x-int.: 2; y-int.: 2{Ý(3, 0)xWrite each equation in slope-intercept form. Then graph the line described by theequation.3y - x- 1311 x 2 y 1x 122 39. 2y -37. 2y x - 3 y x 38. -3x - 2y 1242213. 2.5x 2.5y 5Use intercepts to graph the line described by each equation.14. 15 -3x - 5y15. 4y 2x 816. y 6 - 3xLesson2-2{Tell whether each equation is linear. If so, write the equation in standard form andgive the values of A, B, and C.x 4 - 2y8. -3 xy 2 no9. 4x -3 - 3y6. y 8 - 3x7.3Find the x- and y-intercepts.11. x - y 3-2Ý { {31. slope 2, y-intercept -2 y 2x - 2 32. slope 0.25, y-intercept 4 y 0.25x 41 , (-8, 0) is on the line.34. slope 3833. y -2x 1434. y 1 x 35.36.yy33Ó Ó ÓWrite the equation that describes each line in slope-intercept form.(-3, 2){ÝÝ37–39. For graphs,See Additional Answers.33. slope -2, (5, 4) is on the line.È ÓSkills Practice4-929. The value of y varies directly with x, and y 2 when x -3. Find y when x 6. -430. The value of y varies directly with x, and y -3 when x 9. Find y when x 12. -453. y -4x - 1; (-1, 0)y 1x 14454. y 4x 5; (2, -1)y - 1x - 142Graph f (x) and g (x). Then describe the transformation(s) from the graph of f (x) tothe graph of g (x). For 57, 58, 60 and all graphs, see Additional Exercises.155. f (x) x, g(x) x 2 trans. 2 units up 56. f (x) x, g (x) x -trans. 1 unit down2257. f (x) 6x 1, g(x) 2 x 158. f (x) 3x - 1, g (x) 9x - 11x59. f (x) x, g(x) 2x - 160. f (x) x 1, g (x) -2rot., trans. 1 unit downEPS8EPS9CS10 A1 MESE612225 EM EPSc04.indd EPS82025011 7:32:12CS10 A1 MESE612225 EM EPSc04.inddAMEPS9Extra Practice Chapter 4Applications Practice1–5, 6b, 9, and 10. See Additional Answers.1. Jennifer is having prints made of herphotographs. Each print costs 1.50. Thefunction f (x) 1.50x gives the total cost ofthe x prints. Graph this function and give itsdomain and range. (Lesson 4-1)7. A hot-air balloon is moving at a constant rate.Its altitude is a linear function of time, asshown in the table. Write an equation inslope-intercept form that represents thisfunction. Then find the balloon’s altitudeafter 25 minutes. (Lesson 4-7)2. The Chang family lives 400 miles from Denver.They drive to Denver at a constant speed of 50mi/h. The function f (x) 400 - 50x gives theirdistance in miles from Denver after x hours.(Lesson 4-2)Balloon’s Altitudea. Graph this function and find the intercepts.b. What does each intercept represent?1945195019601975516099144Number ofNations4. The graph shows the temperature of an ovenat different times. Find the slope of the line.Then tell what the slope represents.(Lesson 4-4)/i «iÀ ÌÕÀiÊ c 190Weight(thousandsof .236about 23 miles per gallon9. Geometry Show that the points A(2, 3),B(3, 1), C (-1, -1), and D(-2, 1) are thevertices of a rectangle. (Lesson 4-9) {ä]ÊÓ ä Óä12y -5x 250;125 mb. Predict the fuel efficiency of a car thatweighs 3000 pounds.Îxää215y -6.7x 43; moderately well (r -0.78) ä]Ê{ ä Óxä2507a. Find an equation for a line of best. Howwell does the line fit the data?"Ûi Ê/i «iÀ ÌÕÀi{xäAltitude (m)08. The table shows weights and fuel efficienciesof five cars. (Lesson 4-8)3. History The table shows the number ofnations in the United Nations in differentyears. Find the rate of change for each timeinterval. During which time interval did theU.N. grow at the greatest rate? (Lesson 4-3)YearTime (min){ä10. A phone plan for international calls costs 12.50 per month plus 0.04 per minute. Themonthly cost for x minutes of calls is given bythe function f (x) 0.04x 12.50. How will thegraph change if the phone company raises themonthly fee to 14.50? if the cost per minute israised to 0.05? (Lesson 4-10)/ iÊ 5. Sports Competitive race-walkers move ata speed of about 9 miles per hour. Write adirect variation equation for the distance ythat a race-walker will cover in x hours. Thengraph. (Lesson 4-5)6. A bicycle rental costs 10 plus 1.50per hour. (Lesson 4-6)a. Write an equation that represents the costas a function of the number of hours.y 1.5x 10b. Identify the slope and y-intercept anddescribe their meaning.c. Find the cost of renting a bike for 6 hours. 19EPA5CS10 A1 MESE612225 EM EPAc04.indd EPA5Extra Practice2025011 5:57:40 PMEPCH42025011 7:32:22 AM

Extra PracticeExtra Practice Chapter 5Lesson5-1Skills PracticeExtra Practice Chapter 5Tell whether the ordered pair is a solution of the given system. 2x - 3y -7 4x 3y -2 -2x - 3y 11. (1, 3); yes 2. (-2, 2); no 3. (4, -3); yes -5x 3y 4 -2x - 2y 2 x 2y -2Use the given graph to find the solution of each system. 1 y 2 x - 1 y x 15. 4. (4, 1)1x 3 y - y -x 12 {Þ{ÓLesson5-4(0, 1) Óä{ÝÓ { Ó { {Lesson5-2 3x y -87. 1x-5 3y 2(-1, 0)Solve each system by substitution. y 12 - 3x 2x y -69. 10. (3, 3) y 2x - 3 -5x y 1 2x 3y 212. (4, -2)13.1 x 2y -6 -2(-2, -2)ÓLesson5-5{ 3x - 2y -3 y 7 - 4x(1, 3)5-3Solve each system by elimination. -3x - y 1 x - 3y -118. (8, 3) 19. 5x y -5 -x 2y -2 x 2 - 2y8. -1 -2x - 3y y 11 - 3x11. -2x y 114. 3x - 2y 221. 3x y 8 5x - 2y -1522. 2x - 2y -12(2, 2) -3x - 3y 324. 2x y -4(-2, 5)(-3, 2) 4x - 3y -125. 2x - 2y -4(-1, 5)(5, 7) 3x - 13 2y cons., ind.;35. one sol. -3y 2xTell whether the ordered pair is a solution of the given inequality.36. (3, 6); y 2x 4 no37. (-2, -8); y 3x - 2

Extra Practice Extra Practice Skills Practice Lesson Give two ways to write each algebraic expression in words. (1. x 8 2. 6 y) 3. g - 4 4. _12 h Evaluate each expression for a 4, b 2, and c 5. 5. b c 6. _a b 7. c-a 8. ab 44.Write an algebraic expression for each verbal expression.