Practice: Solving Systems of Equations (3 Different ...

1 H AKEuotma8 dS7oOfttlwoasrSeW Q lAyl6ly nrOiRgXhJtPsk U JMzaGdVex gw5ictuh7 iI4ntfsi7n7iLtler 9A7lmgLevb1rIai by Kuta Software LLCDa Vinci Design / Math 9ID: 1 Name_____Date_____Practice: Solving Systems of Equations ( 3 different Methods)Solve each system by ) 4 x + 3 y = 8 8 x + y = 122) 4 x 2 y = 8 y = 23) 14 x 2 y = 46 7 x + y = 234) 5 x + y = 8 3 x + 2 y = 10 Solve each system by ) 10 x 8 y = 4 5 x + 3 y = 96) 15 x + 9 y = 27 5 x y = 177) 7 x 8 y = 23 4 x + 4 y = 128) 3 x 10 y = 4 x 5 y = 18 Solve each system by ) y = 57 x + 4 y = 17 x 2 10 8 6 4 20 246810 10 8 6 4 224681010) x = 7 y = x + 9 10 8 6 4 20 246810 10 8 6 4 2246810-1- d eKSuUtRao LSoohfWtnwXagr4e8 2 pAilalp yr9iWgFhutAsX J TMbaNd6ev MwTi7tHh5 uIon6fviznRivtAeI XAnl1gTeYbarnal by Kuta Software LLC11)

2 The senior classes at High School A and High School B planned separate trips to the state fair. Thesenior class at High School A rented and filled 10 vans and 6 buses with 276 students. High School Brented and filled 5 vans and 2 buses with 117 students. Every van had the same number of students in itas did the buses. How many students can a van carry? How many students can a bus carry?12) New York City is a popular field trip destination. This year the senior class at High School A and thesenior class at High School B both planned trips there. The senior class at High School A rented andfilled 1 van and 6 buses with 324 students. High School B rented and filled 9 vans and 3 buses with 264students. Every van had the same number of students in it as did the buses. How many students can avan carry?

3 How many students can a bus carry?13) A boat traveled 280 miles downstream and back. The trip downstream took 7 hours. The trip back took14 hours. Find the speed of the boat in still water and the speed of the ) A boat traveled 252 miles downstream and back. The trip downstream took 12 hours. The trip backtook 84 hours. What is the speed of the boat in still water? What is the speed of the current?-2- 8 HKeuhtmac uSWoofDtOwSaFrKej z hAHl5lW 2rZiigRhct0s7 p qM4a0dTeD nweiKtkh1 RICnDfbibnjietoeK JAClWgGefbarkaC by Kuta Software LLC-3-Answers to Practice: Solving Systems of Equations ( 3 different Methods) (ID: 1)1) (1, 4)2) (1, 2)3) Infinite number of solutions4) (2, 2)5) (6, 7)6) ( 3, 2)7) (1, 2)8) (8, 2)9) ( 7, 1)10) (7, 2)11) Van: 15, Bus: 2112) Van: 12, Bus: 5213) boat: 30 mph, current: 10 mph14) boat: 12 mph, current: 9 mph t sKUuLtEa2 3 SMoUf6tQwUaQrneD y rAGlhlP orjiogehHtBsL I VMcaGdweE HwaiXtThn yIangfKinnRiAtveg cAVlhgFerb7rgaD by Kuta Software LLCDa Vinci Design / Math 9ID: 2 Name_____Date_____Practice.

4 Solving Systems of Equations ( 3 different Methods)Solve each system by ) x + 4 y = 22 2 x 2 y = 142) x 2 y = 7 3 x + 6 y = 13) 6 x + y = 17 7 x y = 224) 4 x + 7 y = 14 x + 4 y = 8 Solve each system by ) 10 x + 10 y = 10 9 x + 2 y = 246) 4 x 8 y = 4 12 x + 5 y = 267) 5 x y = 2 4 x + 3 y = 58) x 2 y = 1 5 x + 8 y = 11 Solve each system by ) y = 109 x + 7 y = 29 x 5 10 8 6 4 20 246810 10 8 6 4 224681010) y = 34 x 9 y = 3 x + 6 10 8 6 4 20 246810 10 8 6 4 2246810-1- O jKGudtMaF JSkoHfXtZwLa4rneB j OAblgl5 UrlilgYhwths7 r 5 Moa4dHew Hw2i3tGhD HIdnOfzi7nqiztCeH 0 AmlUgXelbxrsa0 by Kuta Software LLC11) The school that Jaidee goes to is selling tickets to the annual talent show.

5 On the first day of ticket salesthe school sold 10 senior citizen tickets and 11 student tickets for a total of $190. The school took in$160 on the second day by selling 5 senior citizen tickets and 12 student tickets. Find the price of asenior citizen ticket and the price of a student ) The senior classes at High School A and High School B planned separate trips to the indoor climbinggym. The senior class at High School A rented and filled 12 vans and 9 buses with 435 students. HighSchool B rented and filled 5 vans and 3 buses with 155 students. Every van had the same number ofstudents in it as did the buses. How many students can a van carry? How many students can a buscarry?13) Totsakan and Jill each improved their yards by planting rose bushes and geraniums. They bought theirsupplies from the same store.

6 Totsakan spent $210 on 9 rose bushes and 12 geraniums. Jill spent $40on 3 rose bushes and 1 geranium. Find the cost of one rose bush and the cost of one ) Heather and Perry each improved their yards by planting grass sod and geraniums. They bought theirsupplies from the same store. Heather spent $130 on 4 ft of grass sod and 10 geraniums. Perry spent$115 on 12 ft of grass sod and 5 geraniums. What is the cost of one ft of grass sod and the cost of onegeranium?-2- g vKBu0tWau 5 SCoGfBttwvaGrTey a KAwlglc qrzi7gehQtSss I eMqaadFe2 gw5iQtghh rImnjfyiBnHidtge2 VAel1gde8bArnan by Kuta Software LLC-3-Answers to Practice: Solving Systems of Equations ( 3 different Methods) (ID: 2)1) ( 2, 5)2) No solution3) (3, 1)4) (0, 2)5) (2, 3)6) (3, 2)7) ( 1, 3)8) ( 7, 3)9) ( 9, 3)10) ( 4, 6)11) senior citizen ticket: $8, student ticket: $1012) Van: 10, Bus: 3513) rose bush: $10, geranium: $1014) ft of grass sod: $5, geranium: $11 s HKDu8tEam XSKojfCtfwqaHreeF Z KAOl8lT KrziDgEhrtzsZ 4 TMKaydaeC pwli7tihy ZIWnGfjiHnniWt2ez QAUl3g0eQbirua8 by Kuta Software LLCDa Vinci Design / Math 9ID: 3 Name_____Date_____Practice.

7 Solving Systems of Equations ( 3 different Methods)Solve each system by ) 9 x 3 y = 2 3 x + y = 32) x + 8 y = 24 x + 2 y = 163) x + y = 4 3 x + 6 y = 34) x + 7 y = 5 4 x + y = 7 Solve each system by ) 3 x 6 y = 18 x + 3 y = 46) 3 x + y = 14 6 x + 6 y = 247) x + 12 y = 18 3 x 4 y = 108) 8 x + 6 y = 18 16 x + 8 y = 24 Solve each system by ) y = 23 x 1 y = 73 x + 8 10 8 6 4 20 246810 10 8 6 4 224681010) y = 94 x 4 y = x + 9 10 8 6 4 20 246810 10 8 6 4 2246810-1- y uKouYtQaX FSQoIfBtVwHaRr8eP D 4 AUlglx mroiNgzhvtLsR E xM8a7dpek MwJi7tthc 0 Iknaf9itn6iHtYey mAPlKgpeSbBr9aa by Kuta Software LLC11) Jacob and Sumalee each improved their yards by planting daylilies and geraniums.

8 They bought theirsupplies from the same store. Jacob spent $107 on 11 daylilies and 4 geraniums. Sumalee spent $60 on4 daylilies and 12 geraniums. Find the cost of one daylily and the cost of one ) Natalie and Anjali each improved their yards by planting hostas and shrubs. They bought their suppliesfrom the same store. Natalie spent $86 on 2 hostas and 7 shrubs. Anjali spent $104 on 8 hostas and 4shrubs. Find the cost of one hosta and the cost of one ) Jessica and Sarawong each improved their yards by planting daylilies and ornamental grass. Theybought their supplies from the same store. Jessica spent $96 on 4 daylilies and 10 bunches ofornamental grass. Sarawong spent $102 on 8 daylilies and 5 bunches of ornamental grass. What is thecost of one daylily and the cost of one bunch of ornamental grass?

9 14) The school that Kayla goes to is selling tickets to the annual talent show. On the first day of ticket salesthe school sold 6 senior citizen tickets and 7 student tickets for a total of $116. The school took in $26on the second day by selling 4 senior citizen tickets and 1 student ticket. What is the price each of onesenior citizen ticket and one student ticket?-2- 2 tKOuGtYaq 5 SFoUfitlw1abrEeo 0 4 ABltly 5rtiAgFhutIsY V mMoa7dQe3 8wIiitQhM cILnQf9iUnVift4ee LAmlzgleWbVraaU by Kuta Software LLC-3-Answers to Practice: Solving Systems of Equations ( 3 different Methods) (ID: 3)1) No solution2) (8, 4)3) ( 7, 3)4) (2, 1)5) (2, 2)6) ( 5, 1)7) (6, 2)8) (0, 3)9) (3, 1)10) (4, 5)11) daylily: $9, geranium: $212) hosta: $8, shrub: $1013) daylily: $9, bunch of ornamental grass: $614) senior citizen ticket: $3, student ticket: $14 2 sK3uItaaT 9 SwoOf3tRw4aOrReW 4 RA1lSl6 ZrLiUgthdtasb T SM7aLdbeA QwtiXtJhv cIYn8fhipn6iNt8eT iAAl7gGelbhrFab by Kuta Software LLCDa Vinci Design / Math 9ID: 4 Name_____Date_____Practice.

10 Solving Systems of Equations ( 3 different Methods)Solve each system by ) 21 x 3 y = 7 7 x + y = 32) 8 x + 4 y = 24 5 x + y = 183) x 2 y = 10 8 x + 2 y = 84) x + 3 y = 7 8 x + 7 y = 5 Solve each system by ) 6 x 2 y = 8 12 x 6 y = 186) 5 x y = 14 10 x + 5 y = 07) 4 x y = 10 12 x + 9 y = 188) 3 x 12 y = 21 4 x 6 y = 28 Solve each system by ) y = 8 x 7 y = 9 10 8 6 4 20 246810 10 8 6 4 224681010) y = 14 x 9 y = 14 x + 4 10 8 6 4 20 246810 10 8 6 4 2246810-1- I rKouAtjaP KSRoFfvtawcaQrCek i NAblHl4 1rvitg4hMthsG U xMiaHdpeK NwqiDtAhP FICnVfSiLnLi5tSeM aAulGgjejbhrnaR by Kuta Software LLC11) A boat traveled 160 miles downstream and back. The trip downstream took 8 hours.