Algebra 1 Revision Worksheet with Answers

©t WKDuBt1aZ 1S0oNfft7wBaHrSeu 1L8LoCx.M K EArl1ln Or5iAgshZtys9 SrOedsLedrRvAeYd4.h D lMpaMdaeQ Nw5iTtuhR JITnxfGignViCtKei IA6l0g1eQbsrNal z1K.E Worksheet by Kuta Software LLC Algebra 1 Practice by Kareem Gouda www.SKOOLOO.com Algebra Revision Worksheet with Answers Solve each equation. 1) n + 7 + 5 n + 5 = 7( 5 n + 3) − 3( n + 3) 2) 5( 2 m + 6) + 8 m = −7( 1 − m ) + 4 3) −7( 2 r − 6) = 3( r + 4) − 2 r 4) 8( x + 1) = 7( 3 + x ) 5) 6( 6 n − 6) − 4 n = − n + 6( 1 + 6 n ) 6) −4 10 v − 6 = −16 7) 6 − 6 b − 2 = 64 8) 6 6 − 6 x = 108 9) 9 n − 7 3 = 3 10) 4 − 7 a + 9 = 27 Solve each inequality and graph its solution. 11) 6 k 3 < 4 −4 −3 −2 −1 0 1 2 3 4 5 12) −10 + x 10 ≤ −9 −8 −4 0 4 8 12 13) x − 4 − 6 < 0 −3 −2 −1 0 1 2 3 4 5 6 7 8 9 10 11 14) 10 + n − 7 < 10 −30 −25 −20 −15 −10 −5 0 5 10 Page 1 Custom live online Math and SAT tutoring www.SKOOLOO.com ©8 YKjuitOa1 iSdowfQtEwnasrxeI xLlLrCY.b N 4ADlnlx JrHiigVhCt0s6 Hr0evsqeFrqvReAde.y l 5MXa4dreV Jwci0tph7 SIEnSfnixnEiNtUe6 mAllVgzezbwrUas n1u.b Worksheet by Kuta Software LLC 15) m + 5 + 2 < 16 −20 −16 −12 −8 −4 0 4 8 Solve each inequality. 16) 2 x − 10 < −2 x + 2( 4 x + 5) 17) 3( 8 p + 3) ≥ −4 p + 9 18) 7 n + 15 ≥ −4 + 6( n + 4) 19) −40 + 8 b < 8( 1 − 5 b ) 20) 7 + 7( 1 − 6 r ) > 14 + 6 r Solve each system by elimination. 21) −6 x − 6 y = −12 −8 x − 12 y = 12 22) −6 x − 6 y = 6 4 x + 3 y = −1 23) −5 x − y = −14 −10 x − 7 y = 2 24) − x − 2 y = −11 6 x − 10 y = 22 25) 8 x − 2 y = 26 −4 x − 4 y = −8 Solve each system by substitution. Page 2 Custom live online Math and SAT tutoring www.SKOOLOO.com ©G lKqu8tsau 9S7ogfEtFwaa2rXeI xLmLDC3.h 2 fA6lLlY hrmiLgphDtLsT irZeTsCemrwvTeJdD.0 N zMfaLdVe3 ew4iOtmhI xIpnbfUiAnkiitheJ 6AWlrgle1bor8a6 51g.i Worksheet by Kuta Software LLC 26) − x + y = −3 −7 x − 7 y = −7 27) x + 5 y = −17 3 x + 3 y = −3 28) −4 x − 5 y = −8 x + 4 y = −9 29) 4 x + y = −13 −12 x − 3 y = 39 30) 2 x + y = −5 2 x + 2 y = −12 31) The senior classes at High School A and High School B planned separate trips to the water park. The senior class at High School A rented and filled 2 vans and 4 buses with 142 students. High School B rented and filled 13 vans and 8 buses with 437 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus. 32) A boat traveled 286 miles downstream and back. The trip downstream took 13 hours. The trip back took 143 hours. What is the speed of the boat in still water? What is the speed of the current? 33) Joe's school is selling tickets to a fall musical. On the first day of ticket sales the school sold 1 senior citizen ticket and 14 student tickets for a total of $190. The school took in $147 on the second day by selling 7 senior citizen tickets and 7 student tickets. What is the price each of one senior citizen ticket and one student ticket? 34) The school that Jessica goes to is selling tickets to a spring musical. On the first day of ticket sales the school sold 5 adult tickets and 13 child tickets for a total of $265. The school took in $275 on the second day by selling 10 adult tickets and 9 child tickets. Find the price of an adult ticket and the price of a child ticket. Page 3 Custom live online Math and SAT tutoring www.SKOOLOO.com ©l aKNujtEan rSIozfstaw4asr8e8 6L0LPCk.g I zAhlAl2 tr4ilg8hxtZs8 vrMevsieArgvgefdm.p 3 hMaaxdCeE gwoirtghx YIynHfSiZnEiKtteR CA1lxgbeabWrXa5 A1K.j Worksheet by Kuta Software LLC 35) Emily and Maria each improved their yards by planting grass sod and ivy. They bought their supplies from the same store. Emily spent $103 on 7 ft² of grass sod and 4 pots of ivy. Maria spent $138 on 2 ft² of grass sod and 12 pots of ivy. Find the cost of one ft² of grass sod and the cost of one pot of ivy. Graph each equation. 36) y = x − 2 − 4 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 −6 −5 −4 −3 −2123456 37) y = x − 4 − 2 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 −6 −5 −4 −3 −2123456 38) y = x − 3 + 2 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 −6 −5 −4 −3 −2123456 39) y = x − 2 + 4 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 −6 −5 −4 −3 −2123456 Page 4 Custom live online Math and SAT tutoring www.SKOOLOO.com ©a BKcuHtDaa GSdoEfWtTwYawrNe9 iLRLPCj.S w VAilCl0 wrciZgIh0tAsX OraeqsXehrOvKePdc.s r LMIa8dMeS tw7idtqhN JIen0ftiwnKiStNeB 5AolzgkecbKraa3 O1e.R Worksheet by Kuta Software LLC 40) y = x − 2 − 1 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 −6 −5 −4 −3 −2123456 Draw a graph for each inequality. 41) 5 ≥ − k −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 42) −5 < − x −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 43) b < 2 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 44) − x < −1 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 45) 5 ≤ m −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 Page 5 Custom live online Math and SAT tutoring www.SKOOLOO.com ©m qKtuUt8ar RSgoffjt6wiair1eH RLWLrCC.R Z xAXlDlw urMiQguhmtbsq hrye5sgeVrPv5eLdK.b m VMXaodKey NwQibtHhQ 9Iznmfmiun9iCtbeh 5AOlCghe1bLrGaG 319.n Worksheet by Kuta Software LLC Sketch the graph of each line. 46) y = −4 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 −6 −5 −4 −3 −2123456 47) 6 x − y = 1 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 −6 −5 −4 −3 −2123456 48) 6 x + 5 y = −10 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 −6 −5 −4 −3 −2123456 49) 8 x + 5 y = 15 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 −6 −5 −4 −3 −2123456 Page 6 Custom live online Math and SAT tutoring www.SKOOLOO.com ©8 XKvuxtWaT YSToefStxwfaCrie7 hL5LQCI.H W wA0lyl9 urfixg9hWt1sd 7r3eAsnefrtvaefdx.p N VMAaSdVeW QwJiCtaha DI4nxf2icnmi9tRe1 eAxlkgKeCbQroa2 e1I.t Worksheet by Kuta Software LLC 50) 4 x + 3 y = 3 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 −6 −5 −4 −3 −2123456 Sketch the graph of each linear inequality. 51) y < −7 x + 4 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 −6 −5 −4 −3 −2123456 52) y > − 14 x − 4 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 −6 −5 −4 −3 −2123456 Page 7 Custom live online Math and SAT tutoring www.SKOOLOO.com ©S lK0u8tDaP NSzo3fFtbwbaMrEeI tLFL4CJ.Q H 5Asl9lY OrjiPgJhmtlsq hrNeIsieBrsvAefdZ.1 q gMpasd6eF Pwcistbhy 1IOnHfBiinbixtOeL ZAqlwgBeeb7rTa1 f1z.A Worksheet by Kuta Software LLC 53) y ≥ 13 x − 3 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 −6 −5 −4 −3 −2123456 54) y < 12 x + 1 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 −6 −5 −4 −3 −2123456 55) y ≤ 32 x − 1 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 −6 −5 −4 −3 −2123456 Solve each system by graphing. Page 8 Custom live online Math and SAT tutoring www.SKOOLOO.com ©a 0K1uEtNaU wS2onfzthwNaxrcef RLqLRCT.d k iANlllB krYiLgRh2tVsf sr6e9sde2rDveeudz.L 6 MMdaZdieS XwLiftwhY 7I1nWfpiHnjiFtheY WAQlugTe9b2rDa2 71j.A Worksheet by Kuta Software LLC 56) 4 x + 3 y = −6 2 x − 3 y = −12 −5 −4 −3 −2 −1 0 1 2 3 4 5 −5 −4 −3 −2 −112345 57) 4 x + y = 4 x + y = −2 −5 −4 −3 −2 −1 0 1 2 3 4 5 −5 −4 −3 −2 −112345 58) 5 x − y = 2 x − y = −2 −5 −4 −3 −2 −1 0 1 2 3 4 5 −5 −4 −3 −2 −112345 59) x − y = 2 x − y = −4 −5 −4 −3 −2 −1 0 1 2 3 4 5 −5 −4 −3 −2 −112345 Page 9 Custom live online Math and SAT tutoring www.SKOOLOO.com ©l xKtuftQa2 aSXoQfUtXw9aBrMeQ ZL8LZC9.i O TAylLlA 7rDi8gEhctwsw xrSe0sOearTvFejd3.C R XMDasd1e7 SwjiptShC MIvn5fTi0nFi9tgeJ tAOl8gWeFbir6at a1f.R Worksheet by Kuta Software LLC 60) 2 x + y = −3 2 x + 3 y = 3 −5 −4 −3 −2 −1 0 1 2 3 4 5 −5 −4 −3 −2 −112345 Sketch the solution to each system of inequalities. 61) x + 2 y ≥ 4 2 x + y < −1 −5 −4 −3 −2 −1 0 1 2 3 4 5 −5 −4 −3 −2 −112345 62) x − 2 y > 4 2 x + y < 3 −5 −4 −3 −2 −1 0 1 2 3 4 5 −5 −4 −3 −2 −112345 Page 10 Custom live online Math and SAT tutoring www.SKOOLOO.com ©8 cK2uWtaaM oSeowfhtbw9aPrGeA xLgLsCP.X E YAilVls Qr3i7g5hlthsf zr7eCsVeHrTvLe0dQ.f R xMXatdeeg Mwriut1h8 bI0ndf6i5nyiVtJeO OAIlAgVe0bPr4aX w1v.X Worksheet by Kuta Software LLC 63) x + 2 y ≥ 2 x − 2 y ≤ −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 −5 −4 −3 −2 −112345 64) 5 x + y ≤ 3 x − y > 3 −5 −4 −3 −2 −1 0 1 2 3 4 5 −5 −4 −3 −2 −112345 65) x − 3 y < −9 x + y > −1 −5 −4 −3 −2 −1 0 1 2 3 4 5 −5 −4 −3 −2 −112345 Write an inequality for each graph. 66) −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 67) −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 68) −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 69) −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 Page 11 Custom live online Math and SAT tutoring www.SKOOLOO.com ©V bKAuLtbai PSnoffWtzwwaGrpel 3LCLnCt.7 v 2ANldlu 7r5iXgYhft3sY 5rueUsAesrTvwendy.C s mMpagdEen Jw7ittHhQ YIwnufoiQnsiMtReR yAYlEgIelbVrna0 81x.O Worksheet by Kuta Software LLC 70) −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 Page 12 Custom live online Math and SAT tutoring www.SKOOLOO.com ©1 NKVuetFaZ DSro2fZt4w2a0rWeU jLMLsCE.S 6 jAtl6lP 4rwiQgQhst2sY Jrteasle0rJvQeOdm.e A eMia5doeB 1wkioteh6 fIsnafriXnhiKtyeQ 2AHlUgaefbqr4ah W18.u Worksheet by Kuta Software LLC Algebra 1 Practice by Kareem Gouda www.SKOOLOO.com Algebra Revision Worksheet with Answers Solve each equation. 1) n + 7 + 5 n + 5 = 7( 5 n + 3) − 3( n + 3) {0} 2) 5( 2 m + 6) + 8 m = −7( 1 − m ) + 4 {−3} 3) −7( 2 r − 6) = 3( r + 4) − 2 r {2} 4) 8( x + 1) = 7( 3 + x ) {13} 5) 6( 6 n − 6) − 4 n = − n + 6( 1 + 6 n ) {−14} 6) −4 10 v − 6 = −16 {1, 15} 7) 6 − 6 b − 2 = 64 {−10, 12} 8) 6 6 − 6 x = 108 {−2, 4} 9) 9 n − 7 3 = 3 { 16 9 , − 29} 10) 4 − 7 a + 9 = 27 {−2, 22 7 } Solve each inequality and graph its solution. 11) 6 k 3 < 4 −4 −3 −2 −1 0 1 2 3 4 5 12) −10 + x 10 ≤ −9 −8 −4 0 4 8 12 13) x − 4 − 6 < 0 −3 −2 −1 0 1 2 3 4 5 6 7 8 9 10 11 14) 10 + n − 7 < 10 −30 −25 −20 −15 −10 −5 0 5 10 Page 13 Custom live online Math and SAT tutoring www.SKOOLOO.com ©L fKuuntAaN dSNoDfxtZwcadrSeb FLELRCj.z 5 GAPlilL yrsiTgxhmthsS SrNeds5e1rZvNeQda.f 8 cMGa5dzeM 9w5iEtCh3 tILnGfWiEnRiptUer NA0l7gFeLbAr0aL z11.Y Worksheet by Kuta Software LLC 15) m + 5 + 2 < 16 −20 −16 −12 −8 −4 0 4 8 Solve each inequality. 16) 2 x − 10 < −2 x + 2( 4 x + 5) x > −5 17) 3( 8 p + 3) ≥ −4 p + 9 p ≥ 0 18) 7 n + 15 ≥ −4 + 6( n + 4) n ≥ 5 19) −40 + 8 b < 8( 1 − 5 b ) b < 1 20) 7 + 7( 1 − 6 r ) > 14 + 6 r r < 0 Solve each system by elimination. 21) −6 x − 6 y = −12 −8 x − 12 y = 12 (9, −7) 22) −6 x − 6 y = 6 4 x + 3 y = −1 (2, −3) 23) −5 x − y = −14 −10 x − 7 y = 2 (4, −6) 24) − x − 2 y = −11 6 x − 10 y = 22 (7, 2) 25) 8 x − 2 y = 26 −4 x − 4 y = −8 (3, −1) Solve each system by substitution. Page 14 Custom live online Math and SAT tutoring www.SKOOLOO.com ©0 tKCuytsaY 3SzoZfLtMw9atr5et GLOLrCk.l v QAZlPl0 irniDgkhXtfsU qrMensfegr7vTerdO.6 v JMCa1dEeH xwmiHthhP gI0n5f9iWnOiBtoev AAzljgbeHbgrfao f1q.v Worksheet by Kuta Software LLC 26) − x + y = −3 −7 x − 7 y = −7 (2, −1) 27) x + 5 y = −17 3 x + 3 y = −3 (3, −4) 28) −4 x − 5 y = −8 x + 4 y = −9 (7, −4) 29) 4 x + y = −13 −12 x − 3 y = 39 Infinite number of solutions 30) 2 x + y = −5 2 x + 2 y = −12 (1, −7) 31) The senior classes at High School A and High School B planned separate trips to the water park. The senior class at High School A rented and filled 2 vans and 4 buses with 142 students. High School B rented and filled 13 vans and 8 buses with 437 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus. Van: 17, Bus: 27 32) A boat traveled 286 miles downstream and back. The trip downstream took 13 hours. The trip back took 143 hours. What is the speed of the boat in still water? What is the speed of the current? boat: 12 mph, current: 10 mph 33) Joe's school is selling tickets to a fall musical. On the first day of ticket sales the school sold 1 senior citizen ticket and 14 student tickets for a total of $190. The school took in $147 on the second day by selling 7 senior citizen tickets and 7 student tickets. What is the price each of one senior citizen ticket and one student ticket? senior citizen ticket: $8, student ticket: $13 34) The school that Jessica goes to is selling tickets to a spring musical. On the first day of ticket sales the school sold 5 adult tickets and 13 child tickets for a total of $265. The school took in $275 on the second day by selling 10 adult tickets and 9 child tickets. Find the price of an adult ticket and the price of a child ticket. adult ticket: $14, child ticket: $15 Page 15 Custom live online Math and SAT tutoring www.SKOOLOO.com ©T 1Kcuntpae WSYoIfVtHw8a0rkeN ELFLvC2.7 R 4APlJlI Brzi8gOhct5sc SrneZszehrTvGe1dZ.I B 6MEaKd2eJ Twti6t6hR SIhnTfiivnDiytzeP CAglCgveZbzrLah q1g.2 Worksheet by Kuta Software LLC 35) Emily and Maria each improved their yards by planting grass sod and ivy. They bought their supplies from the same store. Emily spent $103 on 7 ft² of grass sod and 4 pots of ivy. Maria spent $138 on 2 ft² of grass sod and 12 pots of ivy. Find the cost of one ft² of grass sod and the cost of one pot of ivy. ft² of grass sod: $9, pot of ivy: $10 Graph each equation. 36) y = x − 2 − 4 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 −6 −5 −4 −3 −2123456 37) y = x − 4 − 2 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 −6 −5 −4 −3 −2123456 38) y = x − 3 + 2 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 −6 −5 −4 −3 −2123456 39) y = x − 2 + 4 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 −6 −5 −4 −3 −2123456 Page 16 Custom live online Math and SAT tutoring www.SKOOLOO.com ©C WKQuWtJaJ nSQowfxtowtagrleg GL5LtC7.Y R zAKlyl5 Hr7iDgchXt0s5 ZrKeWsgeervvdeddL.u 0 NM2aHdte8 ow6intrhy fIon4fIizn0iOtwej IANl2g4etb8rOaj 712.c Worksheet by Kuta Software LLC 40) y = x − 2 − 1 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 −6 −5 −4 −3 −2123456 Draw a graph for each inequality. 41) 5 ≥ − k −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 42) −5 < − x −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 43) b < 2 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 44) − x < −1 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 45) 5 ≤ m −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 Page 17 Custom live online Math and SAT tutoring www.SKOOLOO.com ©I oKzuCtIam dSio5fRtAwiacraeV KLyLRCm.G j CAdlMlW SrIi8gPhEths7 qrYeGsXeFrYvpeXdY.w D ZMJaJddeU awQiutbhZ BIJn5fVi7niiqtZez KADlpgCe8bCrWaA 41U.i Worksheet by Kuta Software LLC Sketch the graph of each line. 46) y = −4 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 −6 −5 −4 −3 −2123456 47) 6 x − y = 1 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 −6 −5 −4 −3 −2123456 48) 6 x + 5 y = −10 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 −6 −5 −4 −3 −2123456 49) 8 x + 5 y = 15 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 −6 −5 −4 −3 −2123456 Page 18 Custom live online Math and SAT tutoring www.SKOOLOO.com ©h tKaurtsa0 eSVo4f3tEwKaMrbeD AL5LkCY.2 k bAclpl8 7rfihgChst0sF 0rAeosFeUrcvAekd3.Z d EMraLdqe2 CwTiGtsh8 GI6nIfOipnyibtKef WAGl1gDenb2rma7 91s.O Worksheet by Kuta Software LLC 50) 4 x + 3 y = 3 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 −6 −5 −4 −3 −2123456 Sketch the graph of each linear inequality. 51) y < −7 x + 4 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 −6 −5 −4 −3 −2123456 52) y > − 14 x − 4 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 −6 −5 −4 −3 −2123456 Page 19 Custom live online Math and SAT tutoring www.SKOOLOO.com ©Y aKBu7tBak SSxodfttYwkahrWe7 SLuLPCo.l r FAtlClp lrsiMgshttksO KriebsZeErsveezdD.o D YMlaFdseu pwpirtsh1 yIDnwfQiCn2iktNeU xAVldg3eRbvrLal J1s.c Worksheet by Kuta Software LLC 53) y ≥ 13 x − 3 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 −6 −5 −4 −3 −2123456 54) y < 12 x + 1 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 −6 −5 −4 −3 −2123456 55) y ≤ 32 x − 1 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 −6 −5 −4 −3 −2123456 Solve each system by graphing. Page 20 Custom live online Math and SAT tutoring www.SKOOLOO.com ©A IKTuFtxa2 iSpohf6tRwfaKrRep wL5LcCr.D 5 FAxlWlT LrMiggNhxtlsw crKe2sreErIvTemds.X x SMeahdTe9 hwEiEtlh4 kIXn5fTiPn7iMtuek PATl3gyeBberqal i1L.1 Worksheet by Kuta Software LLC 56) 4 x + 3 y = −6 2 x − 3 y = −12 −5 −4 −3 −2 −1 0 1 2 3 4 5 −5 −4 −3 −2 −112345 (−3, 2) 57) 4 x + y = 4 x + y = −2 −5 −4 −3 −2 −1 0 1 2 3 4 5 −5 −4 −3 −2 −112345 (2, −4) 58) 5 x − y = 2 x − y = −2 −5 −4 −3 −2 −1 0 1 2 3 4 5 −5 −4 −3 −2 −112345 (1, 3) 59) x − y = 2 x − y = −4 −5 −4 −3 −2 −1 0 1 2 3 4 5 −5 −4 −3 −2 −112345 No solution Page 21 Custom live online Math and SAT tutoring www.SKOOLOO.com ©i DK1uPt4a6 5Sdojfft9w9a7rWe0 bLMLyCR.n L uAelYld YrYiBgkhwtgsb br3eCsbeqrzvOe2dU.L h xMIaJd9eu 4wjirtih5 RI6nmf5ign3iKtwev FAHlvgSe7bMrAai u1t.o Worksheet by Kuta Software LLC 60) 2 x + y = −3 2 x + 3 y = 3 −5 −4 −3 −2 −1 0 1 2 3 4 5 −5 −4 −3 −2 −112345 (−3, 3) Sketch the solution to each system of inequalities. 61) x + 2 y ≥ 4 2 x + y < −1 −5 −4 −3 −2 −1 0 1 2 3 4 5 −5 −4 −3 −2 −112345 62) x − 2 y > 4 2 x + y < 3 −5 −4 −3 −2 −1 0 1 2 3 4 5 −5 −4 −3 −2 −112345 Page 22 Custom live online Math and SAT tutoring www.SKOOLOO.com ©R HKFuetZaC CSUolfStlwYaTrJeK fLeLbCi.m D SASlllR KroiKgdhStPsy VrTepsQeOrHvrePdf.Q v GMwasdIe6 pwvittMhh ZI9n6f0iHnEi9teeo VAmlAgGeRbfriae o14.U Worksheet by Kuta Software LLC 63) x + 2 y ≥ 2 x − 2 y ≤ −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 −5 −4 −3 −2 −112345 64) 5 x + y ≤ 3 x − y > 3 −5 −4 −3 −2 −1 0 1 2 3 4 5 −5 −4 −3 −2 −112345 65) x − 3 y < −9 x + y > −1 −5 −4 −3 −2 −1 0 1 2 3 4 5 −5 −4 −3 −2 −112345 Write an inequality for each graph. 66) −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 x ≤ −4 67) −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 x > −1 68) −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 a > 2 69) −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 a ≥ 6 Page 23 Custom live online Math and SAT tutoring www.SKOOLOO.com ©0 AKsu6tLaW hSYo1fltbweacrweW wL1L1C4.I 6 gA6l7lL zrCi0ghhxtask krceysweMr7vbePda.L y LMma3dIeM EwNigtYhI RINnyfgiLnHint0eX pALlHggeLb1rLaB Z1A.e Worksheet by Kuta Software LLC 70) −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 p ≥ −4 Page 24 Custom live online Math and SAT tutoring www.SKOOLOO.com