Assignment. Algebra 1. Name ID: 1

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1 Algebra Assignment ) Matt left the science museum and traveled toward his friend's house at an average speed of 0 mph. Sumalee left one hour later and traveled in the same direction but with an average speed of 0 mph. Find the number of hours Matt traveled before Sumalee caught up. Name ID: Date Period ) Mofor left the movie theater and traveled toward the lake at an average speed of mph. Sumalee left two hours later and traveled in the opposite direction with an average speed of mph. Find the number of hours Sumalee needs to travel before the are 0 mi. apart. ) A fishing boat left Port 7 and traveled south. Four hours later an aircraft carrier left traveling km/h faster in an effort to catch up to it. After five hours the aircraft carrier finall caught up. Find the fishing boat's average speed. ) Lea left home and drove toward her friend's house at an average speed of mph. Dan left two hours later and drove in the same direction but with an average speed of 0 mph. How long did Lea drive before Dan caught up? ) Aliah drove to her friend's house and back. It took 0. hours longer to go there than it did to come back. The average speed on the trip there was 8. km/h. The average speed on the wa back was. km/h. How man hours did the trip there take? ) Scott traveled to the train station and back. It took. hours less time to get there than it did to get back. The average speed on the trip there was 0.9 km/h. The average speed on the wa back was. km/h. How man hours did the trip there take? Solve each question. Round our answer to the nearest hundredth. 7) Kim can oil the lanes in a bowling alle in si hours. Huong can oil the same lanes in seven hours. How long would it take them if the worked together? 8) Working alone, Aliah can sweep a porch in si minutes. Dan can sweep the same porch in eight minutes. Find how long it would take them if the worked together. 9) Working alone, Julio can harvest a field in. hours. Stefan can harvest the same field in 0.9 hours. If the worked together how long would it take them? 0) Working alone, Mar can dig a 0 ft b 0 ft hole in 9.8 hours. Paul can dig the same hole in 8. hours. How long would it take them if the worked together? ) Jennifer can tar a roof in 7 hours. Eduardo can tar the same roof in hours. If the worked together how long would it take them? ) Working together, Gabriella and Chelsea can pick fort bushels of apples in. hours. Had she done it alone it would have taken Chelsea hours. Find how long it would take Gabriella to do it alone. Find the slope of the line through each pair of points. ) (, 0), (9, ) ) (, 0), ( 8, 0) _ P0qd7H _K_uUtLaX PSXoqfvtPwka_rLeJ ulmlhci.c s zanlwlf TrVisgJhMtpsJ ]rbekseevrrv_eadl.d o LMuaAd[eH ^wyi^tghr nirnifwiunriztteq za\llg]ecbzrvat b. -- Worksheet b Kuta Software LLC

2 Find the value of or so that the line through the points has the given slope. ) (, ) and (, ); slope: 7 ) (, 7) and (, 7); slope: undefined Find the slope of each line. 7) 8) 9) = 0) = + ) = 9 ) = 9 Find the slope of a line perpendicular to each given line. ) = 0 ) = Sketch the graph of each line. ) -intercept =, -intercept = ) = W _l0[]7z QKDulttas es[olfmtwwaa_rtey GLIL_Cl.D D BAflnlU ErcirgNhhtUsb VrXeqspeCrcvCeQd].A M mmea^dleq QwJiKtmhV cirnqfyipnjiht]e VAdlagrekb[rYao Zm. -- Worksheet b Kuta Software LLC

3 7) = 8) 0 = + Write the slope-intercept form of the equation of each line. 9) 0) Write the slope-intercept form of the equation of each line given the slope and -intercept. ) Slope =, -intercept = ) Slope =, -intercept = Write the slope-intercept form of the equation of each line. ) = ) = 7 Write the slope-intercept form of the equation of the line through the given point with the given slope. ) through: (, ), slope = ) through: (, ), slope = Q ou0ii7l NKUuQtwaL LSCozfFtmwgaJrDe^ ]LGLCN.j E jablwld OrQiPghOtRsV KrCeGs`edrcvCeXd.R H FMiaGdUeN [wxi`tghk oisnafdifn\ikte` saslzgcezblrca^ ZH. -- Worksheet b Kuta Software LLC

4 Write the point-slope form of the equation of the line through the given point with the given slope. 7) through: (, ), slope = 8) through: (, ), slope = Write the point-slope form of the equation of the line through the given points. 9) through: (, ) and (, ) 0) through: (, ) and (, ) Write the slope-intercept form of the equation of the line through the given points. ) through: (, ) and (, ) ) through: (0, ) and (, ) Write the point-slope form of the equation of the line described. ) through: (, 0), parallel to = ) through: (, 0), parallel to = Write the slope-intercept form of the equation of the line described. ) through: (, ), parallel to = + ) through: (, ), parallel to = Write the point-slope form of the equation of the line described. 7) through: (, ), perp. to = + 8) through: (, ), perp. to = + Write the slope-intercept form of the equation of the line described. 9) through: (, ), perp. to = 0) through: (, ), perp. to = Write the standard form of the equation of each line. ) ) V pd0ja7l ikdumtdaj mstokfktcwvaprde\ plil[c].j u HAeldlf nrzihgrhftdse KrTeIs\ecrIvKetd.W a \MfaCdlec ewsitthj ]IenefiXnliEtUej ]AflugReSbjrae Vi. -- Worksheet b Kuta Software LLC

5 Write the standard form of the equation of each line given the slope and -intercept. ) Slope =, -intercept = ) Slope =, -intercept = Write the standard form of the equation of each line. ) = ) = + 7) = ( + ) 8) + = ( + ) Write the standard form of the equation of the line through the given point with the given slope. 9) through: (, ), slope = 0) through: (, ), slope = Write the standard form of the equation of the line through the given points. ) through: (0, ) and (, ) ) through: (0, ) and (, ) Write the standard form of the equation of the line described. ) through: (, ), parallel to = 7 ) through: (, ), parallel to = + ) through: (, ), perp. to = ) through: (, ), perp. to = C \v0v7o gktuqtgab vsconfjtrw`akrve[ \L`LuCL.n T vavlolo QrtirgohqtzsX irme[snedrqvweidj.z h vmaaidfet ^wji_tqhg gixn`fpi[nqi[tmeo AAalagKefbDrqai te. -- Worksheet b Kuta Software LLC

6 Answers to Assignment (ID: ) ) hours ) hour ) km/h ) hours ). hours ) hours 7). hours 8). minutes 9).78 hours 0).8 hours ) 8. hours ).99 hours ) ) 0 ) 8 ) 7) 8) 7 9) 0) ) ) ) 0 ) ) ) 7) 8) 9) = 0) = ) = + ) = + ) = ) = + 7 ) = ) = 7) = ( + ) 8) + = ( + ) 9) = ( + ) 0) 0 = ) = ) = ) = ( + ) ) = 0 7) = ( + ) 8) + = + ) = ) = 9) = 0) = ) + = ) = ) + = ) + = ) + = 0 ) = 7) + = 8) + = 8 9) + = 0) + = ) = ) + = 0 ) 7 = ) + = 0 ) = 0 ) = k Hr0BT7s wkoutfae SS[osfVt_wPaSr^eC dlflict.[ w LAOlilw jraiqgbhptusr nrke^siedrzvvebdj.q q QMraQdne wvimtvhr RIrnffmidnFiStFe` EAjlCgkeDbLr[aY zj. -- Worksheet b Kuta Software LLC

2) x + y = 0. 4) (x 1) 2 + (y 4) 2 = 1. p 2. ( p 0 ) 0 2 p 2 3 p -1-

2) x + y = 0. 4) (x 1) 2 + (y 4) 2 = 1. p 2. ( p 0 ) 0 2 p 2 3 p -1- -- T PKcuPtnam pskogfotdwvabrhec DLrLOC.m d gavll9 r7irgqh5tes5 RrgemszejrcvreEd8.Y e vmcazdle8 zwciatihj AIqngfkirnirtMeT 9AUlfgOefbBrfaC du.y Worksheet b Kuta Software LLC Algebra Assignment Sketch the