Algebra Name h N0k]8I KRuatLaI msmomfmt[wea`rfeh LL^LcCJ.[ D YAWlwll kr[i_glhntosb trlensoeoravfezdr. Summer Review 08 Evaluate the following epressions if a=, b=- and c= ) b-a ) - b-c Date Period Solve each equation. ) n + 7 = ) - + n - = - ) -7 - a - 9 = - ) 8 - - = Solve each inequalit and graph its solution. 7) ( - r) ³ 9 8) ( + 8n) > 8-0 -8 - - - 7 8 9 0 Solve each compound inequalit and graph its solution. 9) + 9v ³ -7 or 9-7v > 0) + v < -8 or -8v + 0 < -8-7 - - - - - - 0-9 -8-7 - - - - - - 0 Solve each inequalit and graph its solution. ) 9n - < 8-8 - - - 0 8 ) -0n + -8-7 - - - - - - 0 7 ] uz0^m8a JKQuEtuan QSBoQftqwNarte albltcn.u ^ XAHlGln KrhiCgchstPs\ urkecspeurpv\epdb.o i UMaAdjeB iwbigtxhu sinn[fuionmictyes vaflrgjenbhraac u]. -- Worksheet b Kuta Software LLC
) Juliana received a 00, 9 and 87 on her first three eams. What score range can she receive and maintain an A average (9 or better) on her eams. Write each epression in eponential form. ) ( n) Simplif. ) 8 ) -8 7) 7 8) n n 9) - + 0) 8 + 8 ) - ( 0 - ) ) (- + )(- + ) ) - - ) + + Solve each equation. Remember to check for etraneous solutions. ) - v = v - ) + 9 = V RU0pt8c KKsuEtsaW gsuo_fdtbwpawrie[ flqlacf._ h Anljla lrivgrh\tksv rbeisqelrfvsecd.u j fmlasd[ea swzi`thhd \ImnHfuiHnbiMtmeR Awl`greFbrkaz D^. -- Worksheet b Kuta Software LLC
Solve the inequalit. 7) + - < 8 Evaluate 8) i 88 9) i 79 simplif or solve in terms of i. 0) -9 ) -8 ) -0 + - ) + = - Simplif. ) - + i - (-7 + i) ) ( - i)(- - i) ) + i 7) -7 + 9i - 7i Factor each completel. 8) 80u - v 9) 9u - v 0) n + n + ) v - 7v + Solve each equation b factoring. ) v - v = -v + 0 ) n + n - 7 = -7 + n j HY0Rh8q JKLuZt\a` HSDokfTtXwWabrYeK DLFLpCQ.b E pallllu PrAiRgzhvtgse SrqeBsEeprTvetd. [ mmdaadyeb twhiytthc ^IntfWi^nimtceJ GA\lUgEebbRrBa] tn. -- Worksheet b Kuta Software LLC
Solve each equation with the quadratic formula. ) - = ) k = - k Solve for. ) The length of a rectangle is equal to times the width plus feet. If the area of the rectangle is 0 square feet, what are the dimension of the rectangle? Simplif. Your answer should contain onl positive eponents. 7) -8-8) u v u v 9) h j 0 k k j h j k 0 0) ( m - n p - ) n p m - p Divide. ) (n + n + n) n ) (n + 0n + n) 0n ) (m + 0m + m - ) (m + ) ) ( - + 7 + 0) ( - 0) Simplif each epression. ) 0n - 0n n - 0n ) p + 9 p - 7 p + 8 p 7) v v - v + v - v + 8 8) + R [J0Xp8j QKjujtkaz lshobfuthwqagreh YLpLnCJ.W l aanlhll SrGiugohltEsf frfeus^e[rovceddl.e c MaedKeZ Ww[ihtqh uizn]fcitndiftuez LAdlegIeebFrfaq Ho. -- Worksheet b Kuta Software LLC
9) - 9 + 8 0 + + 0) v - ) b + ) a n + - n - Solve each equation. Remember to check for etraneous solutions. ) + - = - ) n + n = - n ) - + - 8 - = - ) r + r - = r + r - - r + State the domain and range of the following relation and determine if it is a function 7) (, 9) (-, -8) (8,-) (7, -) (, -) (-, ) Use the vertical line test to determine if the continuous relation is a function. 8) 8 9) 8-8 - - - 8-8 - - - 8 - - - - - - -8-8 Q \W0Zs8u rkvuit^aw wsdocffttw_abrte] kliljcn.v VALlTlI rwiegchct^sf mrvefsjedravuepdo.r e cm\acdjem Kwzi_tThG ki\npfdiwnoiitlez AflZgFejbRroav qh. -- Worksheet b Kuta Software LLC
Determine whether the following function is linear 70) = - 7) = + 7) = 7) = Write the equation in standard form. 7) = + 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. 7) through: (, ), slope = Write the slope-intercept form of the equation of the line through the given points. 77) through: (-, ) and (, ) Write the slope-intercept form of the equation of the line described. 78) through: (-, ), parallel to = - + 79) through: (-, -), perp. to = - + v AM0LC8S YKfuatzak kscokf]tkwagrqeq blhlvcu.m ` gahlilo irrizgohlt`sv srpeosoerrevaebdy.g ZMvaddEel qwriutghg ^IGnIfkiZnqiAtpeb da\lzguebaruaw ft. -- Worksheet b Kuta Software LLC
80) You are saving mone for a new car. Your parents give ou $,000 to help our saving get started and ou can save $00 weekl. Write a linear equation that determines our savings () for a given amount () of weeks saving mone. Then, determine how man weeks it will take ou to save for a car that costs $,00 for a new bike. Graph the piecewise function - -, < 0 8) { +, ³ 0 8 - -, < 0 8) { -, ³ 0 8-8 - - - 8-8 - - - 8 - - - - - - -8-8 Graph each equation. 8) = + + 8) = - - - - - - - - - - - - - - - - - - - - - - - - - - - A Uh0NX8u TKUurtPaw VSDo_fUt^wparr`e[ blcljch. D KATlTl` _roiegphutosk frnels^eermvieod^.t b SMga_dker CwjiLtEhc hionlfgianlitpeh _AUlqgMetbEreaP. -7- Worksheet b Kuta Software LLC
Sketch the graph of each linear inequalit. 8) ³ 7 - - - - - - - - - - - - 8) > - + - - - - - - - - - - - - - Solve the sstem of equations b graphing. 87) = + = - - - - - - - - - - - Solve each sstem b elimination. 88) - - = 7 + = e ZS0W[8J K]u^taaS fsmoefntlwvatrfem mlkloc^.q X ZAl[lL rki\g^h^trsp Gr]essFeqrzvFejdK.A \ LM\aDdmeQ kwpiptshu ci^nlf]iwnqiztzew QAKlQggezbOrXar n\. -8- Worksheet b Kuta Software LLC
Solve each sstem b substitution. 89) + 7 = + = 90) Cristo Re students were selling tamales as part of a school fundraiser. Tamales were $ for Queso con rajas and $ for Pollo. The ended up raising $,000 in ticket sales b selling a total of 0 tamales. Write a sstem of equations for the situation and determine how man tamales of each kind were sold. Sketch the solution to each sstem of inequalities. 9) ³ + > - 9) - + - - - - - - - - - - - - - - - - - - - - Sketch the graph of each function. Label the -intercept(s), zeros. 9) f () = + + 7 9) f () = - - 8-8 7-7 - - - - - - - - -9-8 -7 - - - - - - - - - - - I Wd0k8c nkluttlac _SZoXfJtrwZahrNee RLLiCq.v H PApllL KrwiWgZhWt_sq ErceusTefrSvze^dY.T S cmza]deew uwniht^hg jienrfsiknaietseb gawlgce^btrxa\ h_. -9- Worksheet b Kuta Software LLC
Perform the indicated operation. 9) g(n) = n - f (n) = n - n Find g(n) + f (n) 9) f () = + g() = - Find f () g() 97) f (n) = -n + g(n) = n + n Find f (n) g(n) 98) h(t) = t + g(t) = -t Find h(t) - g(t) 99) f () = + g() = Find f (g()) 00) g(t) = -t - f (t) = t + Find g( f (t)) 0) f (n) = n - g(n) = n - n Find f (g(-7)) 0) f (n) = n + g(n) = -n - Find f (g()) u bw0py8h ekduztaag qsgopfktww`awrzen SL[L[Cd.V B GAZlAlm r^imguhntjs^ erqecscejrvvwecdh.q a [MVatdJeu qwoivtfh] PIgnefCign[ibtLeI FAklGgleJbvrTa] MS. -0- Worksheet b Kuta Software LLC