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Algebra 1 Name___________________________________ ID: 1 ©C Y2^0t1H6T AKYuzttal lS]oMfMtmwjaErceE gLcLcCY.I D fAhl[lp jrxirguhCtDsv \rqevsTeLrGvweNdO. Systems Date________________ Period____ Sketch the graph of each linear inequality. 1) x y 2) x y y x y x Sketch the solution to each system of inequalities. 3) yx y x 4) yx yx y y x x -1©q C2a0D1f6V AKzurt_aQ MSioZfgtswaavrBe[ BLwLFCN.w F cAYlolO lrviAgYhjtAsX QrseBsBeIrRvKeFdS.J m OMNa[dkev ^wTiJtVhC SINnffCirnNi\tFeN yAolbgxexblrSal W1E. Worksheet by Kuta Software LLC Solve each system by graphing. 5) x y x y 6) yx yx y x y x Solve each system by SUBSTITUTION. 7) yx yx 8) yx x y 9) x y x y 10) x y xy Solve each system by ELIMINATION. 11) x y x y 12) xy xy 13) x y x y 14) x y x y 15) x y x y 16) x y x y 17) Huong's school is selling tickets to a choral performance. On the first day of ticket sales the school sold 10 senior citizen tickets and 7 child tickets for a total of $107. The school took in $173 on the second day by selling 10 senior citizen tickets and 13 child tickets. What is the price each of one senior citizen ticket and one child ticket? 18) Find the value of two numbers if their sum is 21 and their difference is 1. 19) New York City is a popular field trip destination. This year 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 7 vans and 13 buses with 404 students. High School B rented and filled 7 vans and 7 buses with 266 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry? 20) Scott and Asanji each improved their yards by planting hostas and ivy. They bought their supplies from the same store. Scott spent $58 on 1 hosta and 12 pots of ivy. Asanji spent $168 on 12 hostas and 12 pots of ivy. What is the cost of one hosta and the cost of one pot of ivy? -2©r v2O0v1a6N \KFu\tcaB HS_osfgtIwOazrUeM iLmLvCZ.q m oAllulG rrxihgohptEsV drge_sPecrgvPe\di.w N vMQaRdGe^ \wLiZtkhJ uIPnTfxifneiNtxeu XAhlNgGe\bergae m1C. Worksheet by Kuta Software LLC Algebra 1 Name___________________________________ ID: 1 ©[ `2d0y1S6L QKxuztHaz WSvoPfftewjaLrne^ qLpLfCr.T ^ RAMlGl\ _rPiwgjhTtvsu yrwe\sTehrMvbeKd_. Systems Date________________ Period____ Sketch the graph of each linear inequality. 1) x y 2) x y y x y x Sketch the solution to each system of inequalities. 3) yx y x 4) yx yx y y x x -1©A y2E0u1v6s _Ksuwt[aS LSSoZf`tJw_alrCeH yLLLrCn.l ^ EARlqlx ArHiEgSh[tPsq Wr`ersWeTr`vAePd^.a h NMFasdueM nwhi]tAhU KIDnMfnianVibtOeh GAulagXexb]rJaT p1w. Worksheet by Kuta Software LLC Solve each system by graphing. 5) x y x y 6) yx yx y x (, ) y x No solution Solve each system by SUBSTITUTION. 7) yx yx (, ) 9) x y x y (, ) 8) yx x y (, ) 10) x y xy (, ) Solve each system by ELIMINATION. (, ) 11) x y x y 12) xy No solution xy 13) x y (, ) x y 14) x y x y 15) x y x y 16) x y x y (, ) (, ) (, ) 17) Huong's school is selling tickets to a choral performance. On the first day of ticket sales the senior citize school sold 10 senior citizen tickets and 7 child tickets for a total of $107. The school took in $173 on the second day by selling 10 senior citizen tickets and 13 child tickets. What is the price each of one senior citizen ticket and one child ticket? 18) Find the value of two numbers if their sum is 21 and their difference is 1. 10 and 11 19) New York City is a popular field trip destination. This year the senior class at High School A and Van: 15, Bu the senior class at High School B both planned trips there. The senior class at High School A rented and filled 7 vans and 13 buses with 404 students. High School B rented and filled 7 vans and 7 buses with 266 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry? 20) Scott and Asanji each improved their yards by planting hostas and ivy. They bought their hosta: $10, po supplies from the same store. Scott spent $58 on 1 hosta and 12 pots of ivy. Asanji spent $168 on 12 hostas and 12 pots of ivy. What is the cost of one hosta and the cost of one pot of ivy? -2©r x2[0m1y6W wK`uCtXaw USZoGfFtYwxaxrvec iLqLHCh.` s lAyl^ll AriicgthGtSsD DrKeKs\eEruvje_dv.q T tMia`dneE mwwi\trhK XImnlf\ixnNihtBeD BAilogzelbOrYaA X1N. Worksheet by Kuta Software LLC Algebra 1 Name___________________________________ ID: 2 ©k C2P0z1M6i sKluYtEaZ ]SkoPfitgw_atrrew TLFLyCm.J O tAQlMlZ UrkiTgfhWtNsX cr_ejsqeKryvMeodD. Systems Date________________ Period____ Sketch the graph of each linear inequality. 1) xy 2) y y x y x Sketch the solution to each system of inequalities. 4) y x y x 3) yx y x y y x x -1©l M2m0z1g6y OKYuStxaC USgoXfQtawoaNrGeu mLVL^CU.L q DATlHlF drNiwg\hStGs` RrheDseeLrIvaehdH.q R AMGaHdie] mwgiZtvhs zItnvfviOnci^tgeL nA_lUgaeFbUrGaE D1T. Worksheet by Kuta Software LLC Solve each system by graphing. 5) x y x y 6) y x y x y y x x Solve each system by SUBSTITUTION. 7) y yx 8) x y yx 9) xy x y 10) xy xy Solve each system by ELIMINATION. 11) x y x y 12) x y x y 13) x y x y 14) x y xy 15) x y x y 16) x y x y 17) Beth and Jessica each improved their yards by planting grass sod and ornamental grass. They bought their supplies from the same store. Beth spent $230 on 10 ft² of grass sod and 13 bunches of ornamental grass. Jessica spent $180 on 5 ft² of grass sod and 13 bunches of ornamental grass. Find the cost of one ft² of grass sod and the cost of one bunch of ornamental grass. 18) Julia and Darryl each improved their yards by planting grass sod and shrubs. They bought their supplies from the same store. Julia spent $53 on 3 ft² of grass sod and 13 shrubs. Darryl spent $116 on 10 ft² of grass sod and 13 shrubs. Find the cost of one ft² of grass sod and the cost of one shrub. 19) Jasmine and Chelsea each improved their yards by planting rose bushes and geraniums. They bought their supplies from the same store. Jasmine spent $31 on 3 rose bushes and 5 geraniums. Chelsea spent $49 on 12 rose bushes and 5 geraniums. What is the cost of one rose bush and the cost of one geranium? 20) Find the value of two numbers if their sum is 22 and their difference is 2. -2©h y2M0z1c6i fKpuht`aq ]SVoLfjtrwiaGrTey ALvLKC`.] t nAGlGlI Hr]idgohSthsx prVeKsoe`rivgeld`.[ B RMGaHdter LwjiWtfhG GIWnTfIiUnmiItWeX bAQlTgCexbEriaL b1i. Worksheet by Kuta Software LLC Algebra 1 Name___________________________________ ID: 2 ©j _2L0m1R6D fKRu\tSap nSEoafMt`weaZrseg zLpLeCy.\ \ bA]lrlA urridgvh[tLsM OrZewsKe`rjv_ePdv. Systems Date________________ Period____ Sketch the graph of each linear inequality. 1) xy 2) y y y x x Sketch the solution to each system of inequalities. 4) y x y x 3) yx y x y y x x -1©^ w2g0R1e6W iKFuntjay fS[osfLt^wqaqrGeq OLMLmC\.r j yALlLly erTiLgWh[tmsl urWeOsSekrKvLeLdQ.K s eMeandLeL awxintvhQ LIlnbfoilnEiXtaeO cAzl_gQeQbJrqas o1C. Worksheet by Kuta Software LLC Solve each system by graphing. 5) x y x y 6) y x y x y y x x (, ) No solution Solve each system by SUBSTITUTION. 7) y yx (, ) 8) x y yx 9) xy x y (, ) 10) xy xy (, ) (, ) Solve each system by ELIMINATION. 11) x y (, ) x y 12) x y x y (, ) 13) x y (, ) x y 14) x y xy (, ) 15) x y x y 16) x y x y (, ) (, ) 17) Beth and Jessica each improved their yards by planting grass sod and ornamental grass. They ft² of grass bought their supplies from the same store. Beth spent $230 on 10 ft² of grass sod and 13 bunches of ornamental grass. Jessica spent $180 on 5 ft² of grass sod and 13 bunches of ornamental grass. Find the cost of one ft² of grass sod and the cost of one bunch of ornamental grass. 18) Julia and Darryl each improved their yards by planting grass sod and shrubs. They bought their ft² of grass so supplies from the same store. Julia spent $53 on 3 ft² of grass sod and 13 shrubs. Darryl spent $116 on 10 ft² of grass sod and 13 shrubs. Find the cost of one ft² of grass sod and the cost of one shrub. 19) Jasmine and Chelsea each improved their yards by planting rose bushes and geraniums. They rose bush: $ bought their supplies from the same store. Jasmine spent $31 on 3 rose bushes and 5 geraniums. Chelsea spent $49 on 12 rose bushes and 5 geraniums. What is the cost of one rose bush and the cost of one geranium? 20) Find the value of two numbers if their sum is 22 and their difference is 2. 10 and 12 -2©A L2\0d1z6W qKxugtnau TSsoPfHtawtasrjeh OLiLTCl.n h vAzlwlw drSiXgshgtpsH jroeasPeirQvweVdJ.n ] xM`amdae[ owPittnh_ NIVnSfei\nkiftKea FAWldg[e`bFrNaI s1g. Worksheet by Kuta Software LLC