Systems of Linear Equations

Transcription

1 Discrete Mathematics Name n me0_o6d NKDulta` XSqopftZwLajrPeY SLILJCe.S W GAmlMlq rrqi^glhutpss BrdeUsreHr_v`ejdq. Sstems of Linear Equations Solve each sstem b graphing. Date Period ) = = - - ) -6 = = ) = 0 + = 0 ) - - = - - = G di0e6y ekquwtpa TSqotf\towLaCrUeW wlflcc].t ` AllrlA NrFiqghhwtpsn ArMeWsbemrqvbe_d_.\ [ IMQaWdaep FwoiltThD VI^ncf`iNndi]toe\ [AdlmggejbPrFaX [k. --

2 Solve each sstem b substitution. ) = + = + 6 6) = + 6 = ) = = - 8) = 7 = - Solve each sstem b elimination. 9) + = + 6 = - 0) = = - ) = = ) - 6 = -6 - = w Gu0Dw6N bkzuitaa_ FSuoKftuwbarjep ZLtLiCg.t Q taalmld Yr`iSgUhutws Araebskeor_v`edH. G ]MTaodses wliwtwhs fi[nzfri\nkitheh IAQlPgCeTbIrtan ho. --

3 ) When ou reverse the digits in a certain two-digit number ou increase its value b 9. What is the number if the sum of its digits is? ) Daniel and DeShawn each improved their ards b planting hostas and ornamental grass. The bought their supplies from the same store. Daniel spent $80 on hostas and bunches of ornamental grass. DeShawn spent $80 on 8 hostas and 0 bunches of ornamental grass. Find the cost of one hosta and the cost of one bunch of ornamental grass. ) Jasmine and Heather each improved their ards b planting dalilies and shrubs. The bought their supplies from the same store. Jasmine spent $7 on dalilies and 8 shrubs. Heather spent $9 on dalil and shrubs. Find the cost of one dalil and the cost of one shrub. 6) Carlos and Shana are selling flower bulbs for a school fundraiser. Customers can bu packages of tulip bulbs and packages of crocus bulbs. Carlos sold packages of tulip bulbs and packages of crocus bulbs for a total of $. Shana sold 7 packages of tulip bulbs and 0 packages of crocus bulbs for a total of $. What is the cost each of one package of tulips bulbs and one package of crocus bulbs? a b`0`6v hkyuptaa^ SSroOf]tUwwaHroen hllccu.t h OAflHl crsilgwhtdss Sriejs[elrgvAeLdB.P e umwatdneg rwviktihp XIFnRfHi^nDibtBeq iajltggefbwraaz r`. -

4 7) New York Cit 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 0 students. High School B rented and filled 8 vans and 6 buses with 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? 8) Heather's school is selling tickets to a spring musical. On the first da of ticket sales the school sold 6 senior citizen tickets and 9 student tickets for a total of $8. The school took in $7 on the second da b selling senior citizen tickets and student tickets. Find the price of a senior citizen ticket and the price of a student ticket. 9) Stephanie and Eugene are selling cookie dough for a school fundraiser. Customers can bu packages of sugar cookie dough and packages of double chocolate cookie dough. Stephanie sold packages of sugar cookie dough and 0 packages of double chocolate cookie dough for a total of $6. Eugene sold 6 packages of sugar cookie dough and 6 packages of double chocolate cookie dough for a total of $. What is the cost each of one package of sugar cookie dough and one package of double chocolate cookie dough? 0) Willie and Lisa each improved their ards b planting grass sod and ornamental grass. The bought their supplies from the same store. Willie spent $8 on ft² of grass sod and bunches of ornamental grass. Lisa spent $ on 6 ft² of grass sod and bunches of ornamental grass. Find the cost of one ft² of grass sod and the cost of one bunch of ornamental grass. c HA0PI6l ukwuetjao kseodfvtbwaatraeh `LOLpCX._ X SAal]lX NrzivgbhUttsz nrkeosaezrevledt.u t nmnajddea uwvictahs iiontfqi]n`iktmeu CASlEgeePbnrpat je. -

5 Answers to Sstems of Linear Equations ) (, ) ) (-, ) ) (-, ) ) No solution ) (, 8) 6) (-8, -) 7) (, ) 8) (-7, 7) 9) (-, 0) 0) Infinite number of solutions ) No solution ) (, ) ) 67 ) hosta: $0, bunch of ornamental grass: $0 ) dalil: $9, shrub: $ 6) package of tulips bulbs: $, package of crocus bulbs: $7 7) Van: 9, Bus: 7 8) senior citizen ticket: $, student ticket: $0 9) package of sugar cookie dough: $, package of double chocolate cookie dough: $9 0) ft² of grass sod: $, bunch of ornamental grass: $ g T0eS6R RKguLtIaT USKoDfMtrwkaHrJeq tlbl[cq.u T XAKlslI crdivgjhntqsa VrRefsLebr`vsefdp.^ Q cmdahdke` mwjitthx JIhnCfCienbiute\ EASlDgpekberRaM Kk. -