Solving Systems of Equations 9 22k0g1s24 5KMuJt FaK kslokfftzw0a0r0eg OL9LzCc.5 4 lawlnl6 ZrRiDgahitqs3 drxewsfetruvbe1dm.v

Transcription

1 Algebra Honors Name Solving Sstems of Equations 9 k0gs KMuJt FaK kslokfftzw0a0r0eg OL9LzCc. lawlnl6 ZrRiDgahitqs drxewsfetruvbedm.v Solve each sstem b graphing. Date Period ) = = 0 ) = + 0 = ) 6 = 6 = ) = + = 0 -- H gb0jwk 9Kvuita8 BSooCftUwLadrEe BLNLECp.W g NAZldl eriegrhetgsq zrecs9ebrveeddp.k d hmadzej MwpiftShX ai6nyfrisnivtdex VAWlNgteVbwrTa6 lt.i Worksheet b Kuta Software LLC

2 ) 0 = + + = 6) + + = 0 = + Solve each sstem b substitution. Do all our work on a separate paper. Write our answer net to each question, as an ordered pair, (, ). 7) = = + 8) = = 7 9) 8 = 8 = ) + = 9 = ) + 7 = 6 = + 6 ) = = ) 6 = 0 + = 0 ) + 6 = 8 = ) + = = 8 6) + = 7 = 7) = + = 8) + = 0 + = 9) = = 0) = + = -- D Tf0nH jkvuutrah SSo6fDtfwUa9reX jllcq.0 P SATlglZ hr6inghltysr reejsfeir9viedz. smsafdue BwiOtOhH fi9nfaien7ikthe GAslQgUeDbreaT ji.h Worksheet b Kuta Software LLC

3 -- Q Tz0dKV DKYuHtCag ISmoRftBwuar7eE ilvlmc.h u lawl7l krigthntns HrQeTsVe8rNvDeMd.L l JMcaAdreN PwDiItqh IenKfihnGiteB OATlbgOeBbrpa0 Sd.Y Worksheet b Kuta Software LLC ) + 8 = + = 6 ) 6 + = 8 + = 9 ) = = 7 ) = = 0 Solve each sstem b elimination. Do all work on a separate paper. Write our answers net to the question, as an ordered pair, (, ). ) + = = 7 6) + = = 6 7) = 8 = 0 8) + = + = 8 9) = + 6 = 0 0) + = 6 6 = 8 ) 6 = 0 6 = ) = 6 = 0 ) 6 = 8 = 8 ) = = ) + = 8 + = 6) 6 + = = 6 7) + = 8 = 8 8) = 6 + = 6 9) + = = 8 0) 8 = 8 6 = 0 ) 6 = = 6 ) = + = 0 ) = + = ) + 6 = =

4 -- P tp0lfl mkuutmao 8ShoKfRt0wLaFrMeB zldlnca.z n uazlld GrYighDtsc treasoeorlvneidd.g H gmba6diec AwoiZt9hu pisnfximniictceu VABlGgfeHbRrPa C7.i Worksheet b Kuta Software LLC ) = 6 = 6) + = 8 = Define variables for each question. Write a sstem of equations. Tell whether ou are using "elimination" or "substitution" to solve. Solve. (Show work on separate paper and write answer as a sentence below the question.) 7) Stefan's school is selling tickets to the annual dance competition. On the first da of ticket sales the school sold adult tickets and student tickets for a total of $78. The school took in $ on the second da b selling adult tickets and 7 student tickets. Find the price of an adult ticket and the price of a student ticket. 8) The sum of two numbers is 9. Their difference is. What are the numbers? 9) Moll and Ran are selling pies for a school fundraiser. Customers can bu apple pies and lemon meringue pies. Moll sold apple pies and lemon meringue pies for a total of $. Ran sold apple pies and lemon meringue pies for a total of $9. What is the cost each of one apple pie and one lemon meringue pie? 0) The sum of two numbers is 0. Their difference is 6. What are the numbers? ) The difference of two numbers is 7. Their sum is. Find the numbers.

5 -- 0 a70n gkduatqap MSBovfTtAwpaare ELPLHCh.j q taolelm jrkikgxhwtlsb rvesreirhv0eddh.n v 6MjaDdFeS 8wPiTtYhR 6IAnvfXicnciWtTer KAelbgsepbHr Sah T.w Worksheet b Kuta Software LLC ) The school that Jimm goes to is selling tickets to the annual talent show. On the first da of ticket sales the school sold 7 senior citizen tickets and student tickets for a total of $. The school took in $ on the second da b selling 7 senior citizen tickets and student tickets. What is the price each of one senior citizen ticket and one student ticket? ) The senior classes at High School A and High School B planned separate trips to Yellowstone National Park. The senior class at High School A rented and filled vans and bus with students. High School B rented and filled vans and 7 buses with 8 students. Each van and each bus carried the same number of students. How man students can a van carr? How man students can a bus carr? ) The indoor climbing gm is a popular field trip destination. This ear the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled vans and buses with 77 students. High School B rented and filled 9 vans and buses with 78 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus. ) Matt and Natalie each improved their ards b planting rose bushes and shrubs. The bought their supplies from the same store. Matt spent $8 on rose bushes and shrubs. Natalie spent $6 on rose bushes and shrubs. Find the cost of one rose bush and the cost of one shrub. 6) Totsakan and Kristin are selling fruit for a school fundraiser. Customers can bu small boes of tangerines and large boes of tangerines. Totsakan sold 6 small boes of tangerines and 9 large boes of tangerines for a total of $80. Kristin sold small boes of tangerines and large boes of tangerines for a total of $68. What is the cost each of one small bo of tangerines and one large bo of tangerines?

6 Z 90XL PKsuntYaA tsto0f0tqwga0rhem dlclncz.j P oaqlgli JrBiggdhtlsj YrDeXsPebrfvFeSdK.T W AMIajdfe0 Ow7itmhD HIhnfnifnwiftSep AclZgVebKrXaL Fn.V -6- Worksheet b Kuta Software LLC Answers to Solving Sstems of Equations ) (, ) ) (, ) ) (, ) ) (, ) ) No solution 6) No solution 7) (, 7) 8) (, 7) 9) (, 8) 0) (0, ) ) (, 0) ) (, ) ) Infinite number of solutions ) ( 8, 8) ) (, 0) 6) (0, ) 7) ( 7, ) 8) No solution 9) (, ) 0) Infinite number of solutions ) (7, ) ) (, ) ) (, ) ) (0, 0) ) (, ) 6) (, ) 7) (, ) 8) (, ) 9) (, ) 0) (, ) ) (, ) ) ( 6, ) ) (, 0) ) (, 0) ) (, ) 6) (, 0) 7) (0, ) 8) ( 6, ) 9) ( 6, ) 0) (, ) ) (, 0) ) (, ) ) (, 6) ) (, 0) ) (0, ) 6) (, ) 7) adult ticket: $, student ticket: $ 8) 9 and 0 9) apple pie: $7, lemon meringue pie: $ 0) 7 and ) 7 and ) senior citizen ticket: $, student ticket: $0 ) Van: 7, Bus: ) Van: 8, Bus: ) rose bush: $, shrub: $ 6) small bo of tangerines: $, large bo of tangerines: $