-1- r os0y1xu fkuatwai NSoGfvtuw9aWrLea VLSLWC8.Q h RAlilf irdicg6hmtys6 YrIebsJeBrSvefdp.R DMFacdwef zwuiutxhn 1Iln8fai8nbitje QAEl5gFeXbOrAaB 1l.C Worksheet b Kuta Software LLC Algebra 1 Final Eam Review # c zk0k1uq nkultfaf DSootfGtvwFaerBeJ ELRL1Cb.R m 7A7lnlc drkizgghkt6sm PrJewsSeGrsvce7dz.6 Solve each equation. Name Date Class # 1) 16 = 6 ) 1 = p 16 ) 5 = ) 7(1 8m) = 9 5) 5 = 6( 7 r) + 8(r 8) 6) 5 + 7 = 8 + 8 7) 8(n 6) = n 0 8) 1 + 18b = ( 6b) 9) 6 7 = 1 10) 6(k 8) = 8(1 k) + 6k Solve the equation for the indicated variable. 11) P = l; for l 1) A = 1 h (b 1 + b ) for b 1
-- l es0n1p IKeultLa QSOo5fmtlwGatrhe6 VLL9CU.l S kaillu eriirgyhtjsf frersfearpve1dc.n T omfasd0eh twtigtph8 ZIHnfUiwnuijtNet capljgresbqran c1v.8 Worksheet b Kuta Software LLC Solve each compound inequalit and graph its solution. 1) 6n + 7 < 1 or n 1 8 1) 0 < < 6 0 6 8 10 1 1 9 8 7 6 5 1 0 1 15) 1 < r + 8 8 7 6 5 1 0 1 16) 6m 1 17 or 6m + 7 1 7 6 5 1 0 1 5 Solve each inequalit and graph its solution. 17) 6 + > 6 18) 8n + 7 1 16 1 8 0 8 1 8 6 0 6 8 10 19) b + 6 < 0 10 8 6 0 6 0) v + 6 1 8 0 8 Solve each equation. 1) n = 9 ) 5v + =
-- De0Q10h 0K7uktoaK lsnoafhtmwra0rzek SLJLsC.t f GAglFlG irrig0hatsu zrjesie6rovseqdv.d t YMaOdwez wwgihtbhm vimnwfdionsietwel 7ASlrgJejbPrqav s1q.9 Worksheet b Kuta Software LLC ) n + 9 = 1 ) = 8 5) Your elementar school is having a fall carnival. Admission into the carnival is $, each game inside the carnival costs $0.5, and ride tickets cost $0.75 each. Write an inequalit that represents the possible number of games and rides ou can pa for with $10. Evaluate. 6) f ()= 5 7 Find f ( 5). 7) f ()= 1 + Find f (10). Write the slope-intercept form of the equation. 8) through: (, 0) and (1, 5) 9) through: (1, 0), slope = 5 0) through: ( 5, 1), parallel to = 1 + 1 1) through: (, ), perp. to = 5 + ) + = 5 ( 5) ) + = 1
-- a Y00X1g DKuvtiaw zsmo0fltrwda9rqeq zl6ljch.d W oahlnlw TrBihgChTthsR priedsgeqrtvievdx.y o MHa0dek PwOiptah SIPnfjiJnvirtGe0 GAilhgezbarXaF P1g. Worksheet b Kuta Software LLC Write the standard form of the equation of each line. ) = 1 + 6 5) = 1 ( ) 6) through: (, ), slope = 7) = + 1 8) Write the equation of the vertical line that passes through the point ( 5, 0). 9) Write the equation of the horizontal line that passes through the point ( 5, 0). 0) Kim and Cndi are starting a business tutoring students in math. The rent an office for $00 per month and charge $0 per hour per student. a) Write the linear equation that models this scenario. b) If the have 15 students each for one hour per week how much profit do the make together in a month? (assume weeks per month) c) If the want to make $1000 dollars profit, how man students for one hour per week must the tutor? Solve each sstem b elimination. Check our solution. 1) 15 + 10 = 10 + = 5 ) 16 + = 11 8 =
-5- F uf0z1qn jkrubtan FS7oVfGtjwAatrves ALqLJCF.v 0 8AelGl erli7ghqtmsg rfelsrehrzvtewdh.9 J QMwaddel 1wuijthv zinncfgifngintfe8 paelngueybhraav 1.w Worksheet b Kuta Software LLC Solve each sstem b substitution. Check our solution. ) 6 + 6 = 1 = 1 ) 1 + = 9 = 7 1 Solve each sstem b graphing. Check our solution. 5) + = 1 = 8 6) = 8 5 + = 8 Sketch the graph of each linear inequalit. 7) > 1 8) 5 10 6 6 5 5 1 1 6 5 1 1 5 6 1 6 5 1 1 5 6 1 5 5 6 6
Sketch the solution to each sstem of inequalities. 9) > + 6 50) < 9 + > 6 5 5 1 1 5 1 1 5 1 5 1 1 5 1 5 5 Write the sstem of equations that models the scenario. Then solve. 51) You are buing tickets to pla at a carnival. Ride tickets cost $1 each and game tickets cost $0.50 each. You bu a total of 1 tickets and spend$11. How man of each ticket did ou bu? Simplif. Your answer should contain onl positive eponents. 5) h k 1 h j k h j k 5) z 0 z 5) ( z ) 55) r qp 56) ( z ) ( z 0 ) -6- t 85011tN 0KwuUtgah sskolfytawnaqroej ILZLtC1.W r DAmlsl JrSiMghhztMsB wraecsseirovgedj.f hmhaedpes 9wiikt5hn CIknsfCiAnViJtdei sa0ljgpefbarwaq W1e.z Worksheet b Kuta Software LLC
-7- V l0y1tc AKZuYtRat GSoIf7tXwKarrDeg rl9lacj.o m CAl0li FrdilghCtYsR nrdecshesrkveydv.m c LMSakdZep NwCiBtjhD 0IFnwffinYist0ei uaolgtefbyrzae Z15.b Worksheet b Kuta Software LLC 57) ab 0 c a 1 b a b Write each number in scientific notation. 58) 0.00075 59) 0.001 60) 650000 61) 85600 Simplif each epression. 6) (5b + 6b + 8b ) (b + 5b 5b ) 6) ( + r + 5r ) + (6r r + 8r) 6) ( )(8 ) 65) (7n 5)(6n + 8) 66) (8k 5)(k k ) 67) (p 7)( p p 7) 68) (8 + 7)(8 7) 69) (r ) Name each polnomial b degree and number of terms. 70) 6b 71) 10v + 5v
-8-6G0L1IK hkkuftav ms5obfztgwiawrkea 1LZLgCN.8 h 9AQlXlb Rriigkhstksk 8rReesEeurtvreHd9.q o KM6abde8 IwnitfhF 1IZnzfaiTnRit9ev paklg7epbnrqar Y1K.w Worksheet b Kuta Software LLC 7) k k 7) 6 + v 6v Factor the common factor out of each epression. 7) 10b 8 + 7b 6 b 75) 90n 5 + 90n + 7n Factor each completel. 76) b 6 77) n 8n + 1 78) 5n + 6n 81 79) 0m + 5m 80) 6 + 5 + 1 81) 6m 17m + 7 Simplif. 8) 10 5 10 8) 0 8) 0 85) 10 5 86) 0 16 87) 5 10
Solve each equation b taking square roots. 88) m + 9 = 5 89) + 16k = 61 Solve each equation with the quadratic formula. 90) + 10 75 = 0 91) b 8b + 10 = Find the discriminant of each quadratic equation then state the number and tpe of solutions. 9) 7r + r = 0 9) 5v 10v 5 = 0 9) 5n + 10n + = 7 95) 9a + a + 10 = 9 Sketch the graph of each function. 96) = + 16 8 97) = ( + ) 5 8 7 6 5 1 1 1 1 1 1 5 6 1 5 6 7 8 5 9-9- z wu0r1gp vkgujtbau WSBoUfUt9w1aGrDej KLZL8CC.M M EAJlSlD JroiHg8hvtks ZreFsUeJrvReXd9.w J kmwa9dex IweiKtfhL 7ITnMfPienGiHtFeB uaalhgqeib7ruaz 71.n Worksheet b Kuta Software LLC
-10-1 E10O1c tklupt6a8 9SUoofMt0wSaBrFeZ QLKLfCk.W B daulslr krsicgzhztis6 0rZejsQe9rev9e5db. j VMaTdMeI TwZiktAhW zilnefzicndiwtea FAqlMgfeCbfrza P10.j Worksheet b Kuta Software LLC 98) A ball is thrown verticall upward with an initial velocit of 8 feet per second. If the ball started from a height of 8 feet off the ground, following the equation s(t)= 16t + 8t + 8. Determine the time it will take for the ball to hit the ground. Round our answer to the nearest thousandth. 99) A ball is thrown verticall upward with an unknown initial velocit modeled b the equation s t = 16t + 1. If the ball started from a height of 1 feet off the ground, determine the time it will take for the ball to hit the ground. Round our answer to the nearest hundredth. 100) Name each of the famil of functions, the parent equation, and their associated graph. 1) ) ) ) 5)
G 190e1Uc WKKu6tQau wsnobf6tmwtajr8es YLYLrCo.Q t 6Allmlb orgilgwhxtest frae9sbecrvueddq.r P XMoaQdeL cwrietohe 1Icnfieniktqej 1ALljgMerbjraB c1m.8-11- Worksheet b Kuta Software LLC Answers to Final Eam Review # 1) {96} ) {} ) -5 ) {6} 5) {} 6) {} 7) {} 8) No solution. 9) 1 10) {7} 1) n < 1 or n 9 : 1) 0 < < : 11) l = P 6 0 6 8 10 1 1 9 8 7 6 5 1 0 1 15) 1 < r : 8 7 6 5 1 0 1 16) m or m 1 : 7 6 5 1 0 1 5 17) > 10 or < 1 : 16 1 8 0 8 1 1) b 1 = A h b 18) n 17 or n 6 : 8 6 0 6 8 10 19) 9 < b < 6 : 0) 1 v 9 : 1) {, } 10 8 6 0 6 1 8 0 8 ) { 1 5, 5 } ) { 1, 11 } ) No solution. 5) + 0.5g + 0.75t 10 6) 18 7) -1 8) = 5 15 9) = 5 5 0) = 1 8 1) = 5 + 1 ) = 5 ) = + ) + = 18 5) + = 6 6) + = 7) + = 8) = 5 9) = 0 0) a) = 0 00 b)$00 c) 5 students 1) No solution ) ( 1, 5) ) (1, 1) ) Infinite number of solutions 5) (, ) 6) (, 1)
R 1V0w1GW dkeuytpas msdo7fcthwqaorler ILnLDCG. Z wajldlg XrpiSg9htBsb rmeasxer1vretds.f i 8MaIddeQ twjithg hilnwf5irniwtew NAltg9eDb9rta L1F. -1- Worksheet b Kuta Software LLC 7) 6 8) 6 9) 6 6 6 6 50) 6 6 51) + 0.5 = 11; + = 1 ride tickets = 10, game tickets = 5) 16hj 6 k 5) 8 z 5) r 1 18 z 6 57) 9 z 8 c 55) qp 56) b 7 a 58).75 10 59).1 10 60) 6.5 10 5 61) 8.56 10 6) 1b + b 6) r + 6r + 11r + 6) 8 + 6 65) n + 6n 0 66) k 9k k + 10 67) p 9p + 7p + 9 68) 6 9 69) 9r 18r + 9 70) linear monomial 71) quadratic binomial 7) quartic binomial 7) quartic trinomial 7) b ( 10b 6 + 7b 1) 75) 9n (10n 10n ) 76) (b 6)(b + 6) 77) (n )(n 6) 78) (5n 9)(n + 9) 79) 6m(5m + 9) 80) ( + )( + 7) 81) (m 7)(m 1) 8) 50 8) 6 10 8) 8 15 85) 15 86) 5 87) 5 0 88) {, } 89) {, } 90) {5, 15} 91) {6, } 9) ; two real solutions 9) 0; one real solution 9) 0; one real solution 95) 5; two imaginar solutions
v QT0N1nr lkqujt0ab psofvtnwoadrcez qlvlucg.h j 8A5ltlc JroiVgMhtes7 9rweLsmeYrdvzeGd0.q v IM5acdej TwliPtthv OIMn8fiibnXiRtqeK WALl7gdeRbTrkab D1.f -1- Worksheet b Kuta Software LLC 96) 6 8 97) 8 6 6 98) 0.05 seconds 8 99) 0.87 seconds 100) linear = ; quadratic = ; absolute value = ; cubic = ; eponential =