Advanced Algebra II Name K ^u0gu7d pkhutt[ad nsqojfctrwlatraep klylect.r _ ma]lulm ruibg^httst mrne\sue]rvveerdj. Semester Review Evaluate each function. ) w() = - + ; Find w(-7) ) h(n) = -n - n; Find h(n - ) -n + n + Hour Perform the indicated operation. ) h(a) = a - g(a) = a - a Find h(a) + g(a) a - a + a - ) f () = - g() = - Find f () - g() - + - Sketch the following. (Hint: Recall the vertical line test.) ) An Function 8 Sample: ) An Relation NOT a Function 8 Sample: 0 0 - - -8 8-0 -8 8-0 - - -8-8 \ s0oq7z zkdustoau ^SLovfGt\wfaGr_eG MLLLKCu.i q UA[lalF EruiggEhWtqsD mroeps]etr]vueedw.^ \ KMHaKdjeG wwoirtxht VIpnGf_iVnciItJed XAMlJgAeLbmrVaB nv. -- Worksheet b Kuta Software LLC
Complete. 7) A recipe for cupcakes needs cup of flour.the number of cupcakes ou can make varies directl with the amount of flour. How man cupcakes can ou make with cups of flour? 8) Your wage varies directl with the hours ou work. If ou make $ in two hours, how long do ou work to make $80? 0 hours cupcakes Write the slope-intercept form of the equation of the line through the given points. 9) through: (-, -) and (, ) 0) through: (, ) and (0, -) = + 8 = - ) through: (-, ) and (, ) = ) through: (, ) and (, ) = B\0nu7J `KuuztQaP rsnoufwtfwqahrve\ plzlicm.] q Aflmld Zri^gih[tus wrceksle]rfv^ewdp.h n QMuahdEei swjitttho bisnvf\ienfiwthec lalaggejb`rgav ss. - Worksheet b Kuta Software LLC
Sketch the graph of each line. ) = + ) + = - - - - - - - - - - - - - Complete. ) A cab compan charges a $ boarding rate in addition to its meter which is $ for ever mile. What is the equation of the line that represents this cab compan's rate? Let = milage. = + Graph each equation b plotting the verte, another point, and using smmetr. ) = - - 7) = + + - - - - - - - - - - - - b ^a0i]7o ekvudtbac KSJoffmtowiawrBeQ YLzL\Ci.v n wadllu prlisgshqtfsq frlensewr]vbe[dr.e r NMqakdZeM kwviutohx ai^nzfgicnmicthej tamllgseaborqaq \V. -- Worksheet b Kuta Software LLC
8) Mofor's school is selling tickets to a pla. On the first da of ticket sales the school sold senior citizen tickets and student tickets for a total of $7. The school took in $ on the second da b selling senior citizen ticket and student tickets. What is the price each of one senior citizen ticket and one student ticket? senior citizen ticket: $0, student ticket: $ 9) The senior classes at High School A and High School B planned separate trips to Yellowstone National Park. The senior class at High School A rented and filled vans and buses with 9 students. High School B rented and filled vans and 7 buses with 87 students. Each van and each bus carried the same number of students. How man students can a van carr? How man students can a bus carr? Van:, Bus: Does the sstem have one solution, infinitel man solutions, or no solution? (Hint: Putting both equations in slope-intercept form ( = m + b), compare the slopes.) 0) - 9 = - Infinite number of solutions ) - + = No solution 9 - = - + 9 = d Xc07V ck_ubt^aa SHoZfgthwvairkev nlwljc\.n U hablylt ZreiIgehXtbsT RrBeis]eWrZvweVd_.p [ XMkaNdKeW RwWi`t]hM `ICnVfYiZnPi[tbeu oamlgbecburta_ Ro. - Worksheet b Kuta Software LLC
Sketch the solution to each sstem of inequalities. ) + > + ³ ) - < - < - - - - - - - - - - - - Complete. ) Arrange the following class data into a matri and report the dimensions. Let columns be ee color and gender be rows. For male students' ee color, there are nine brown, three blue, and two green. For female students' ee color, there are two brown, eleven blue, and four green. A) 9 ; * B) 9 ; C) 9 9 ; D) ; Sketch the graph of each function. ) = ( - ) - ) = ( + ) + - - 7 8-8 -0-0 9 8 7 pc0zl7o [KUuCtka ps`o]fbt`wcakroet HLeLKCG. ` WAnlnli Yr]iEgzhftksw BrPeSsnekrMvFe`dE.E [ LMhaFdVes KwMirtLhp kignpfzihnfirtlev makl\gaeqbtrcaf MM. -- -0-9 -8-7 - - - Worksheet b Kuta Software LLC
Use the information provided to write the verte form equation of each parabola. (Hint: Use completing the square.) 7) = - 8 - = ( + ) + 8) = - 0 + 0 = ( - 0) + 0 Complete. 9) The height (h) in feet of an object above the ground is given b h = -t + t + 90, where t is the time in seconds. Find the maimum height of the object. (Hint: Put the equation in verte form.) feet Factor each completel. 0) - 9 ( - 8)( + 8) ) 8n - n + 0 (n - 0)(n - ) Solve each equation b factoring. ) b = -, } ) + = -8, } m TH0Ue7] rkuhtoaa `SqoefbtMwVaQroeO rloljcc.p F _Aulvlq grgibgahitmsm grzeqslecrcvge]d_.c T tmxapdie lwfiitjhi \I_nfDipnYi\tjed gahllgdexbcr[ad JS. - Worksheet b Kuta Software LLC
) 0v + = -v -, -} ) 9 + 9 = - -, } Solve each equation b completing the square. ) a - a = 0 0, } 7) + = - +, - } Solve each equation with the quadratic formula. 8) = - + 8, - 9 } 9) a - = a + 7, - 7 } Simplif. 0) ( + i) + (8 + i) + 9i ) (- + i)( + i) -8 - i ) (7 + i) - ( - i) + i ) (-8 - i) + i P QN0cA7m akuatta ssbozfbt]wpakrfeh zlglfcg.o Z YAVlulb HrNiHgrhhtcsK ErvessZeUrYvzeEdI.A h bmwacdmei qwui]thh OIvnfji`nrigtweD CAflWgBeMbCrHaI sp. -7- Worksheet b Kuta Software LLC
Find the absolute value of each comple number. ) -i ) + i Find the discriminant of each quadratic equation then state the number and tpe of solutions. ) p + = 0 ; two comple solutions 7) -r + = -r 9; two real solutions 8) n = n - 0; one real solution Solve each equation with the quadratic formula. 9) a - a = - + i, - i } 0) - = + i 7, - i 7 8 8 } R BX0JZ7M nkcu]tgab fsyorf`tcw^akrlec jlsldcp.i N EAXljlA RrKiIgvhwtrsT lrae\skewreveerdo.w _ nmtaqdhea LwtietKhI CIwnFf^iGnsi_tKeK RASllgfebmrna JB. -8- Worksheet b Kuta Software LLC