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1 -1- g p2n0y1u4o ok3ultjal YSdoLfht1wva0rQer ilcl0ch.j 9 larlsl2 trzitgmhttqsv UrneGs2e0rtvrejdb.4 d 9MfaXd8eR 0wfirtqh6 uignif1ijnjigtaeg eailagveabprmae D1u.7 Worksheet b Kuta Software LLC Algebra 1 First Semester Final Eam Review f H2I0T1j4w VKEu6twar oscoqfrtkw0anrge ultllcq.9 D vaxlblu 7rribgshPtEsX brlepstenr7veevdp.t Simplif each epression. ID: 1 Name 1) m 2) rr 3) ( ) 4) ( n) 5) ( b) b( b) 6) v( v) v( v) 7) 8) n n Solve each equation. 9) k 10) a 11) p 12) n 13) n 14) m() 15) n 16) ( a) 17) v 18) 19) ( ) 20) ( n) 21) 22) p 23) b ( b) 24) ( n)n 25) ( )( ) 26) rr( r)( r)

2 -2- c 62D0O1d4z rkdurt1as rsqocfstpwoacrkeg dlwloc7.w h NAil0l0 drdibgmhntrsl hr8eqsgeordvjetdc.6 M MKaXdoe9 jwgiztvhk 1IQnqfBiXnIiJt4eA SAPlWgCe6bPr5aq e1n.3 Worksheet b Kuta Software LLC 27) Mark solved this problem incorrectl. Describe where he made his error & then find the correct solution. -2(2+7) = = = -1 - = 13 = -13 Each question has 2 parts for # ) Mar is working at a new shoe store. She makes an etra $3.50 for each pair of boots she sells and $1.75 for each bottle of boot cleaner she sells over the holidas. Write an equation to represent the number of boots (b) and the number of bottles of cleaner (c) she sells in her first week if she made an etra $91? 29) If Mar, in the above problem, sold 15 pair of boots that week, how man bottles of cleaner did she sell? 30) Frank has $ He bus a new 3-ring binder for $5.99. He has to bu sprials for school and each one costs $2.25. Write an inequalit statement that represents the maimum number of sprials he can bu. 31) In the problem above,what is the maimum amount of spirals Frank can bu? 32) Terr bought 8 CD's for $92. Each CD costs the same amount. Write an inequalit statement to find the maimum about of CD's (c) he can bu if he has $150? 33) What is the maimum about of CD's Terr can bu in the above problem? Literal equations. 34) Solve for in both equations: -3=t a + b = c Solve each inequalit. 35) v 36) () v v D) v v D) 37) n 38) n n D) n n D)

3 -3- A V28051P4G 2KHuFtMap 0SGoDfWtswOagrYe2 GLNLpC.1 G 5AGl2ll lrsibgjhlt5sj JrVeis9e6r4vFeld3.v R MEamd0e Tw2iMt5hB dihntfhiznbittfe5 AAOlMgfeNbFrCac 11V. Worksheet b Kuta Software LLC Solve each inequalit and graph its solution. 39) n 40) b Solve each inequalit. 41) p 42) ( k) 43) 44) ( n) Solve each inequalit and graph its solution. 45) ( m) 46) ( r) Solve each compound inequalit and graph its solution. 47) 48) n or n Find the slope of each line. 49) 50)

4 -4-0 K2Z0W1d4i XKUuDtSa4 S5oMfutJwEaer4e0 1LMLC3.W jaelple artihgfh4tzs0 3reAsCeKrQvAeQd.i m bmwald3es jwdintph3 dian8fii8nkiftqel bawlkgmeebqrxap X1L.L Worksheet b Kuta Software LLC Find the slope of the line through each pair of points. 51) (, ), (, ) 52) (, ), (, ) Find the slope of each line. 53) 54) Find the slope of a line parallel and perpendicular to each given line. 55) 56) Intercepts of a line. 57) Find the -intercept and the -intercept of the line: 3-5=15. = = Write the slope-intercept form of the equation of each line. 58) 59) Write the slope-intercept form of the equation of each line given the slope and -intercept. 60) Slope =, -intercept = 61) Slope =, -intercept = Write the slope-intercept form of the equation of the line through the given point with the given -intercept or slope. 62) through: (, ), slope = 63) through: (, ), -intercept = Write the slope-intercept form of the equation of the line through the given points. 64) through: (, ) and (, ) 65) through: (, ) and (, )

5 -5- m T2G0N1k4n WKFuXtKaW TSCo3fvtawda3rTeD ELDLUC5.X r 8AJlKlc QriYgvh9tusD grjelsfejrmvtemdm.4 A 6MBabdweT awui9t9hb diunsfcionoiltre2 jarlfgnepbgr2ao q1p.p Worksheet b Kuta Software LLC Sketch the graph of each line. 66) 67) 68) 69) 70) -intercept =, -intercept = 71) -intercept =, -intercept =

6 -6-8 h2m0t1c4e bkfuztkal GSPoqfKtiwAaHrGet blhlvca.j 5 4AWlel3 uroiigmhrtas hrretspe0rmvne8dw.o z KMJadkeY Uwdi8tphz NIOnvfYipnOiwtKeP daqlpghelbtrva3 Q1f.G Worksheet b Kuta Software LLC Sketch the graph of each linear inequalit. 72) 73) D) D)

7 -7- I 2280a1W4N dkyuxttap fs5oxfptvwbanrzek gldl3cq.r 4 4AVlBla LrAi7ghhtsk 9rCelsfeOrXvXedK.f 9 4M6aIdSe1 twfi2trhm OIgnGf8iGnHiDtgeU RAZlJgpebFr4a X1B.5 Worksheet b Kuta Software LLC 74) 75) D) D) Functions 76) Given: = -2-3, find the range if the domain is {-3, 0,.4, }: 77) Given the set: {(2,1), (-3,4), (2,0), (-4,4)} find the: Domain: Range: is it a function?

8 -8- g Y2k0g14v OKPu9tKaE GS0oFfmt7wvaFrOe5 plvl1cl.g H marlqlq trjiqgmhotmsv gr9eesqeprvvjegde.2 2 FMQajd9et twpintjhd zicnhfaignmiotpeu JAOlBglePb6rbae s1z.i Worksheet b Kuta Software LLC 78) What is the name of the test that determines if a graph is a function? To be a function, which cannot have repeated values: the domain or the range? Which of the 5 equations are functions (es or no)? =, = 5, = -4, =, 2-4 = 8 79) Which of the following is not a function: D)

9 -9-0 i220g1r4p TKDuGt0aW gs6o1fbtnwmaerher mlplrcj.b b dajl9lc ArIiggOhttNsi rieusaemrmvcerd1.5 3 YM6aNdwe1 JwZi6tpht qibnifmilnsijt2ef UAYlgaedbdra0 81O.Q Worksheet b Kuta Software LLC 80) Which of the following represents a rock being thrown out of a 10-stor building? D) Refer to the graph: 81) Tom ran to his friend's house. The graph below represents his distance from his house, in miles (-ais) to his friend's house over time, hours (-ais). a) what is the slope of this line and what does it represent? b) write an equation for this situation c) if this trend continues, how long would it take to travel 15 miles? The net 5 questions require ou to write a short answer and/or equation. 82) What is the slope of a horizontal line? Write an equation of a horizontal line. 83) What is the slope of a vertical line? Write an equation of a vertical line.

10 -10- o 82c0b1f4u bkluktaa5 NSUoRfVt3wbamrDer 8LqLnCB.J l 3AHlflq 0rXiKg6hotRsk ir4eqstefrovqemdv.l D 9M9avdtej nw3idt0ht gienzfain7iatveh 6AIl2g1eObcrXa2 g1l.v Worksheet b Kuta Software LLC 84) When ou multipl or divide b a negative number, what happens to the inequalit sign in an inequalit statement? 85) When ou divide b a fraction, it is the same as: 86) When ou are going to graph a linear equation in slope intercept form, describe the steps needed to graph if ou are given a linear equation in standard form. 87) Samuel threw a paper airplane up in the air. His friend shot a rocket off of a 3m platform. The graph represents the height (meters) over time (seconds). During which interval was the airplane's height less than the rocket's height? (-ais is the time, ais is the height) 88) In the problem above, which of the two moved at a constant rate? 89) In the problem above, if all stas constant, which will reach a higher point? Using trial and error, a table, work backwards...solve the following. 90) Bill had to bu some cookies at $3.50/pkg and some punch for $5.25/gallon for the Christmas part. He has $50 and was told to get as much as he can from the $50. How man different purchases can he make if he MUST bu at least 1 of each item? 91) Tina had 4 coins made up of pennies, dimes and nickels. How man different sums of mone could she have? Evaluate each using the values given. 92) z; use, and z 93) q( qp); use p, and q 94) z ; use, and z 95) pn n; use n, and p

11 F J2X0G1L4D rkqubtaao HSHoOftKwaaPrXet plvl4cw.v i sa1lblk prbi7gdh4tnsz XrCenseeYrovseDda.J H EMSabdue8 jwqiotohz SI3n9f2i4nEi3tNe7 DAulrgoeGberUai 81A.a -11- Worksheet b Kuta Software LLC Answers to First Semester Final Eam Review (ID: 1) 1) m 2) 3) 4) n 5) bb 6) vv 7) 8) n 9) 10) 11) 12) {} 13) 14) 15) 16) 17) 18) 19) 20) 21) 22) 23) 24) 25) 26) 27) -13/7 28) 91 = 3.5b c 29) 22 30) 31) 7 32) 33) 13 34) t+3 c/(a+b) 35) D c 36) C 37) B 38) C 39) n : 40) b : 41) 45) p 42) k 43) m : 46) 47) : 48) 49) 53) n or n : 50) 51) 54) 55) 44) n r : 52) 57) : 5, : -3 58) 61) 62) 65) 66) 59) 63) 60) 64) 67) 56) 68) 69) 70)

12 J R2Q0i1d49 FKmuntUae wslocfbtjwjamrkem qlolscb.o V XAl3lq YrLiggLhFtUsN Wr1esmearkvmeTdH.i Q MSaWdDez OwoitPhQ kiankf2ivntittaeb gailpg4exblrqak 31i Worksheet b Kuta Software LLC 71) 72) B 73) B 74) D 75) D 76) {3, -3, -3.8, -4} 77) d: 2, -3, -4 r: 1, 4, 0 no 78) vertical line test domain or values 79) B 80) A 81) 1/2 = 7.5 hours 82) 0 =# 83) impossible =# 84) It flips or changes direction 85) multipling b the reciprocal 86) solve for, plot the -intercept, from that point plot using the slope 87) From 0-2 seconds 88) rocket 89) airplane 90) 8 91) 14 92) 93) 94) 95)

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