2) x - 8y = 3 4x + 4y = ) 8x + 12y = -8 -x + 6y = 16
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1 MGSE8.EE.8 L U2m0G1k7Y ikkuftiak uskomf_tnwlaprnen FLCLOCk.J T RAzlGlw frbitgfhytuss [rwewsfedrsvxefde. Systems of Equations Solve each system by elimination. 1) -2x + 7y = 8-12x + 6y = -24 Name ID: 1 2) x - 8y = 3 4x + 4y = -24 Date Period 3) 5x - 18y = 18 10x - 9y = 9 4) 8x + 12y = -8 -x + 6y = 16 5) 7x - 15y = 29-2x + 5y = -9 6) Stefan and Jenny are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of shiny wrapping paper. Stefan sold 14 rolls of plain wrapping paper and 8 rolls of shiny wrapping paper for a total of $328. Jenny sold 5 rolls of plain wrapping paper and 4 rolls of shiny wrapping paper for a total of $140. Find the cost each of one roll of plain wrapping paper and one roll of shiny wrapping paper. Y ]2J0a1l7D tkbu]t_ah eseotfhtvwuaqrxeo CLuLxCQ.H r YAclTlF vrqikgzhdtysc sr`eosheeraviexdn.g e AMmaVdpeH ]wmirtthm TIKnUfGiCnIiQtwem ha\ltgdefbgrfav i1x. -1-
2 7) The senior classes at High School A and High School B planned separate trips to the county fair. The senior class at High School A rented and filled 7 vans and 8 buses with 408 students. High School B rented and filled 14 vans and 13 buses with 684 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus. 8) Micaela and Cody are selling flower bulbs for a school fundraiser. Customers can buy packages of tulip bulbs and bags of daffodil bulbs. Micaela sold 4 packages of tulip bulbs and 4 bags of daffodil bulbs for a total of $144. Cody sold 2 packages of tulip bulbs and 10 bags of daffodil bulbs for a total of $232. What is the cost each of one package of tulips bulbs and one bag of daffodil bulbs? 9) Rob's school is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 10 senior citizen tickets and 10 student tickets for a total of $140. The school took in $90 on the second day by selling 7 senior citizen tickets and 5 student tickets. Find the price of a senior citizen ticket and the price of a student ticket. 10) Stefan and Molly are selling cheesecakes for a school fundraiser. Customers can buy French silk cheesecakes and apple cheesecakes. Stefan sold 1 French silk cheesecake and 4 apple cheesecakes for a total of $81. Molly sold 12 French silk cheesecakes and 8 apple cheesecakes for a total of $292. What is the cost each of one French silk cheesecake and one apple cheesecake? l u2b0e1h7w AKBuFtIaL bszowfctgwgayrgep CL^L[Cg.W K EA\lVlc WrwiFgyhxtwsy ]rdeesue]rnvyewdz.l U CMVaQdne\ UwJietZhe EIjnzfzimnSitt[eR xa^lpgnepburean A1R. -2-
3 11) Daniel's school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 13 senior citizen tickets and 7 child tickets for a total of $100. The school took in $80 on the second day by selling 4 senior citizen tickets and 12 child tickets. Find the price of a senior citizen ticket and the price of a child ticket. 12) Beth and Lisa are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. Beth sold 9 rolls of plain wrapping paper and 7 rolls of holiday wrapping paper for a total of $209. Lisa sold 8 rolls of plain wrapping paper and 9 rolls of holiday wrapping paper for a total of $233. What is the cost each of one roll of plain wrapping paper and one roll of holiday wrapping paper? 13) Cody and Anjali are selling cheesecakes for a school fundraiser. Customers can buy French silk cheesecakes and chocolate marble cheesecakes. Cody sold 9 French silk cheesecakes and 10 chocolate marble cheesecakes for a total of $238. Anjali sold 7 French silk cheesecakes and 3 chocolate marble cheesecakes for a total of $123. What is the cost each of one French silk cheesecake and one chocolate marble cheesecake? \ u2g0s1k7f ykzujtjae YSmoDfStpwUaVr[ek yldlbcn.f O LAblnlH yrsi\ggh[tfst jrrejsxenrhvyepdt.q M tmtasdreh Gwtiutphl YIcnAffisn_iot[es JAjljgPenbSrAaF c1w. -3-
4 MGSE8.EE.8 [ F2d0_1B7H ZKxuftHaW TSxoFf]tXwPabrpec VLMLZCe.P e _ALlblV trniogihxtos] GryeHskePrfvSeNdz. Systems of Equations Solve each system by elimination. 1) -2x + 7y = 8-12x + 6y = -24 (3, 2) Name ID: 1 2) x - 8y = 3 4x + 4y = -24 (-5, -1) Date Period 3) 5x - 18y = 18 10x - 9y = 9 (0, -1) 4) 8x + 12y = -8 -x + 6y = 16 (-4, 2) 5) 7x - 15y = 29-2x + 5y = -9 (2, -1) 6) Stefan and Jenny are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of shiny wrapping paper. Stefan sold 14 rolls of plain wrapping paper and 8 rolls of shiny wrapping paper for a total of $328. Jenny sold 5 rolls of plain wrapping paper and 4 rolls of shiny wrapping paper for a total of $140. Find the cost each of one roll of plain wrapping paper and one roll of shiny wrapping paper. roll of plain wrapping paper: $12, roll of shiny wrapping paper: $20 s j2k0s1j7u ^KMuhtAae SStoyfMtfwOa[rqeJ nltlxcj.z R katlale RrgiigHhTtasO vrsepsyehr[v_eede.s L lmxafd[ed cwaimtwha VIXnifdiFnXi[tGeA SAqlAgveIb[rwa[ W1m. -1-
5 7) The senior classes at High School A and High School B planned separate trips to the county fair. The senior class at High School A rented and filled 7 vans and 8 buses with 408 students. High School B rented and filled 14 vans and 13 buses with 684 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus. Van: 8, Bus: 44 8) Micaela and Cody are selling flower bulbs for a school fundraiser. Customers can buy packages of tulip bulbs and bags of daffodil bulbs. Micaela sold 4 packages of tulip bulbs and 4 bags of daffodil bulbs for a total of $144. Cody sold 2 packages of tulip bulbs and 10 bags of daffodil bulbs for a total of $232. What is the cost each of one package of tulips bulbs and one bag of daffodil bulbs? package of tulips bulbs: $16, bag of daffodil bulbs: $20 9) Rob's school is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 10 senior citizen tickets and 10 student tickets for a total of $140. The school took in $90 on the second day by selling 7 senior citizen tickets and 5 student tickets. Find the price of a senior citizen ticket and the price of a student ticket. senior citizen ticket: $10, student ticket: $4 10) Stefan and Molly are selling cheesecakes for a school fundraiser. Customers can buy French silk cheesecakes and apple cheesecakes. Stefan sold 1 French silk cheesecake and 4 apple cheesecakes for a total of $81. Molly sold 12 French silk cheesecakes and 8 apple cheesecakes for a total of $292. What is the cost each of one French silk cheesecake and one apple cheesecake? French silk cheesecake: $13, apple cheesecake: $17 b Y2E0c1i7E ZK`uTtoaa ysio`fqtewbalrlea flzljca.z L ZAvlBl_ urpijgshothsw KrieMsXeQrFvbeBdo.X S rmvahdneu Rw[ixtXhb giqngfuimnyiytpe\ TAhlegMePbFrEaV M1S. -2-
6 11) Daniel's school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 13 senior citizen tickets and 7 child tickets for a total of $100. The school took in $80 on the second day by selling 4 senior citizen tickets and 12 child tickets. Find the price of a senior citizen ticket and the price of a child ticket. senior citizen ticket: $5, child ticket: $5 12) Beth and Lisa are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. Beth sold 9 rolls of plain wrapping paper and 7 rolls of holiday wrapping paper for a total of $209. Lisa sold 8 rolls of plain wrapping paper and 9 rolls of holiday wrapping paper for a total of $233. What is the cost each of one roll of plain wrapping paper and one roll of holiday wrapping paper? roll of plain wrapping paper: $10, roll of holiday wrapping paper: $17 13) Cody and Anjali are selling cheesecakes for a school fundraiser. Customers can buy French silk cheesecakes and chocolate marble cheesecakes. Cody sold 9 French silk cheesecakes and 10 chocolate marble cheesecakes for a total of $238. Anjali sold 7 French silk cheesecakes and 3 chocolate marble cheesecakes for a total of $123. What is the cost each of one French silk cheesecake and one chocolate marble cheesecake? French silk cheesecake: $12, chocolate marble cheesecake: $13 e I2G0]1H7Q [KRuGtJag LSfoYfutKwtaRr^eX SLVL\CB._ u MAulwlL srzihgzhztysy bree\sjejrdvrehdk.i j OMuaFdIeJ HwyiOtYhW VIPngf`ignyiptAeU ZAklNgGebbqr[ar n1v. -3-
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