Complete on separate sheet of paper. Due Wednesday, 8/3 to Dr. Gammill (Rm 603)

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1 Geometr B Advanced Algebra - Summer Packet - 0 Name [ RH0UJL FKzuMtdaI GSfovfEtBwEarrdeW OLeLdCr.d HA[ll^ pr^ikgqhst[s[ IrcemsHeHrMvePdc. Complete on separate sheet of paper. Due Wednesda, 8/ to Dr. Gammill (Rm 0) Sketch the graph of each line. ) - = ) = - - ) = ) = - Write the slope-intercept form of the equation of the line described. ) through: (-, ), parallel to = - - ) through: (-, - ), perp. to = - Write the slope-intercept form of the equation of the line through the given points. 7) through: (-, ) and (-, 0) 8) through: (-, - ) and (, ) Solve each sstem b elimination. 9) + = = 0) - - = = - Solve each sstem b graphing. ) = + = - ) = - - = Solve each sstem b substitution. ) + = - + = 8 ) - - = = ) The school that Chelsea goes to is selling tickets to a fall musical. On the first da of ticket sales the school sold senior citizen tickets and child tickets for a total of $97. The school took in $ on the second da b selling senior citizen tickets and 7 child tickets. Find the price of a senior citizen ticket and the price of a child ticket. -- Z KY0gMC IK\ujtUa ESCoHfktdwaalrOec nlhlyci.b w `AdlLlC ZruiEgphhtUsT UrResAeVrgvNeqdZ.O N CMHamdMek nwoiatthz biwnkfqitnilten YAOlWgewbzrNai ^p. Worksheet b Kuta Software LLC

2 ) Gabriella and Huong are selling wrapping paper for a school fundraiser. Customers can bu rolls of plain wrapping paper and rolls of shin wrapping paper. Gabriella sold roll of plain wrapping paper and rolls of shin wrapping paper for a total of $. Huong sold 7 rolls of plain wrapping paper and rolls of shin wrapping paper for a total of $8. Find the cost each of one roll of plain wrapping paper and one roll of shin wrapping paper. Sketch the solution to each sstem of inequalities. 7) ³ - - 8) > - + ³ Simplif each epression. 9) (uv + v - 7u v ) + (- u v - u v + v ) 0) (- a b - 0ab - a b) - (- a b + a b + 9ab) Find each product. ) (8b - )(- 8b + ) ) (- r - )(- r + ) ) (- b + )(7b + b - 8) ) ( + )( - + ) ) (8 - )( - + ) ) ( + 8)( - 8) 7) (a + )(a - ) 8) (m - ) 9) (b - ) 0) ( + ) ) (v + 8) ) ( - ) Name each polnomial b degree and number of terms. - ) + 0n ) 0 ) - p + p - p ) v 7) a + 8a 8) 8 p Solve each equation. 9) (- - 7 ) = - 7 0) 7v + = - 7(- v + 7) ) - (n - ) = - n ) (8 - ) = - + ( + 7) ) - + (v + ) = v + ( v) ) ( - 8k) = (k + ) ) - (a - ) = - (a + 8) ) = 8 0 7) 9 p - p = - 9) = i T0PNt FKautgav ssconfotowoaoraet flql[c`.l o canl^lo LrziZgihntcsB MrzeKs[eerbvEerdF.A f DMMacdUe] ow\ictchq EIlnfvicnmift\en kagltgiejbwrpat lr. -- 8) - r + = - r + Worksheet b Kuta Software LLC

3 0) -n ( n + ) = n ) - b - b = ) v + = - v Solve each equation. Remember to check for etraneous solutions. ) = n ) n + = ) m = ) 0 = Sketch the graph of each function. 7) = + + 8) = + + 9) = ( - ) + 0) = ( + ) + Simplif. Your answer should contain onl positive eponents. ) ( - ) - ) ( ( a b ) ( - a ) ) - - ( - ) ) Find the missing side. Round to the nearest tenth. ( a b ) - b ba ba ) ) ) 8 Find the value of each trigonometric ratio. 7) sin A 8) cos Z C Z 7 Y 0 9 B A X Find the area of each triangle. Round intermediate values to the nearest tenth. Use the rounded values to calculate the net value. Round our final answer to the nearest tenth. 9) 0 70) 8 Find the measure of the indicated angle to the nearest degree. 9 7)?? z oo0hnm JKutoan cscoafntnwjaarpel ILRLMCd.P q tailflo mrtikgkhntfsb WrKepssearpvMeVdO.w --d cmkaud[ew cw]ivtdhk _IQnSfsisnjiStgeY kaelkghe[b^rtan ^G. 7) Worksheet b Kuta Software LLC

4 Find the missing side lengths. Leave our answers as radicals in simplest form. 7) 7) 0 7) m n 7) 0 77) 78) Find the missing side of each triangle. Leave our answers in simplest radical form. 79) km 80) km d Factor each completel. d 8) 8mz + 80mc - nz - 0nc 8) az - ah + 0 z - h 8) pw - 0 pk - 8qw + qk 8) + - 0m - m 8) mz + 8mh - 0nz - 80nh 8) ) pz + ph - qz - qh 88) 0a z - 0a h - z + h 89) ab + a - vb - v 90) aw + ak - w - k Factor the common factor out of each epression. 9) u v + u v 9) ) - 8m n p - 0m n p - m n 9) ) z + z 9) 9 p r + 7 p r q + p r q 97) z + 98) - a b - 0ab + b + 99) ) - z + z - Factor each completel. 0) m - m ) p - 90 p ) ) r - r - 0 0) b - b + 0) n - n ) b + 7b - 08) -a + a ) - v - 8v 0) -k + k ) 7n + 0n ) m - m ) ) + -- B0BSq `KpuXtkaR oshopfatxwgacr_ef elslkc].u o taalilz qrfikguhbt\sq EreEskerrJvaejdO.l a QMKakdkeS Ewki^tWhT pi_nvfbifntiitdet XAYlGgnefbGrfa] ]h. Worksheet b Kuta Software LLC

5 ) ) ) n + n + 0 8) 7 p - p + 9) 7n - n + 0) 0b - b - ) r + r - ) 9m - m + 80 ) a - 0a ) 0a + a - 80 ) ) 9m - 8m - 7) n - 8n + 0 8) 0n + 9n + 7 9) v - v + 0) 9k - 00 ) ) ) u + 8uv - v ) ) + ) ) - 7-8) - - 9) - 0a - ab 0) 9a + 8ab - 0b ) v - v + ) n - n + ) a - 9 ) k + 8k + ) k + 0k + ) b - 7) ) m - 9) p - 8 p + 0) b - 8 ) 8 p + 0 p + 0 ) n - ) b - b + 9 ) ) 8k - k + ) ) 7-8 8) m - 9 9) k - 0) ) - ) ) ) - ) ) + + 7) ) ) - 70) ) 8-7 7) u - v 7) 8-0 7) ) - 7) ) m + n 78) 00-79) m - 0mn + n 80) m - 0mn + n Solve each equation b completing the square. 8) = - 8) - + = - 8) k + k - 88 = - 0 8) + - = - 9 8) 9n + 8n - = - 8 8) = ) 7v + v - 8 = 88) p + p + = - 89) r + r - = -r 90) k - = - 7k + 8k 9) m - 9m + = -m - 8m 9) 0m - m - 7 = - m - 7 Solve each equation with the quadratic formula. 9) n - n = 9) - + = - 9 9) - p - 9 p = - 9) n = 8 + 8n 97) 0m - 9m = 98) - - = - 99) 7 - = -- 00) = b w0fg\ ekuuituaj rswohfhtqwna]rreh OL`LYCn.M U BA\lblC nrrilguhqtjsu WrUebsgegrWvvezd[.D b YMKandze\ `wcixtehc HIKnBfGidnpiItOen jaalvgenbprvap bj. Worksheet b Kuta Software LLC

6 Answers to Complete on separate sheet of paper. Due Wednesda, 8/ to Dr. Gammill (Rm ) ) ) = ) = + 9) (-, 0) ) (-, - ) ) No solution ) senior citizen ticket: $, child ticket: $ 7) ) - u v - u v + v + uv ) - b + 0b - ) - 8b - b + 0b - ) ) a - 9) 9b - b + ) v + v + ) linear binomial ) quartic trinomial 7) quartic binomial 9) {- } ) No solution. ) { } ) {- } 7) { - ) { } ) { } 7) } 9) { } ) { } ) ) ) ) ) =, = 7) 0 9 n `S0Vdu _KQuEttan ^SYo]frtwmaMrHeQ ILLLzC.G d padlqld PrDiEgohBtXsq hrqe`scearovleqdi.h S dmtardgei swuiuthh[ IIonlfLiqnniQtHeI \AGlgg\elbwrmaE M\. -- 9) 7. 7) Worksheet b Kuta Software LLC

7 7) m =, n = 77) 79) 8 km 8) (m - n)(z + c) 8) ( p - q)(w - k) 8) (m - n)(z + h) 87) ( p - q)(z + h) 89) (a - v)(b + ) 9) u v(v + ) 9) - m n (mnp + p + m ) 9) 8 z(8 z + 7 ) 97) z + 99) 8 ( ) 0) (m - )(m - ) 0) ( + )( - ) 0) (b - )(b - ) 07) Not factorable 09) - v(v + 9) ) n(7n + 0) ) (7 - )( + 7) ) Not factorable 7) (n + )(n + 0) 9) (7n - )(n - ) ) (r - )(r + ) ) a(a - 0) ) ( + )( - 9) 7) (n - )(9n - 0) 9) (v - 7)(v - ) ) - ( + )( - 8 ) ) (u + 9v)(u - v) ) ( + 7 ) 7) ( - )( + ) 9) - a(a + b) ) (v - ) ) (a + )(a - ) ) (k + ) 7) ( + ) 9) ( p - ) ) ( p + ) ) (b - ) ) (k - ) 7) ( + )( - ) 9) (k + )(k - ) ) ( + )( - ) ) ( - ) ) ( - ) 7) ( + ) 9) ( + )( - ) 7) ( + )( - ) 7) ( + )( - ) 7) ( + )( - ) 77) Not factorable 79) (m - n) 8) {, - } 8) { , } 8) {, - } 87) {, - } 89) {, - } 9) { 7, - } 99) { + 7, - 7 } 9) {- 7, 8 } 97) { 9 + 0, 9-0 } 9) {, } j Nm0Atg ikluetnah SdowfbtIwXa]rZeB plzluco.v \ RAAlJlZ frdingwhftss_ ]r`elsnejrevwevdr.q I DMuaSdeeM pwni\thhi QIDn]fXiBnNiUt^eM uallgrelbprnar Tu. -7- Worksheet b Kuta Software LLC

Name h x2n0k1]8i xkruatlai msmomfmt[wea`rfeh LL^LcCJ.[ D YAWlwll kr[i_glhntosb trlensoeoravfezdr. 8) 2(1 + 8n) > ) 2 + 5v < -18 or -8v + 10 < 34

Name h x2n0k1]8i xkruatlai msmomfmt[wea`rfeh LL^LcCJ.[ D YAWlwll kr[i_glhntosb trlensoeoravfezdr. 8) 2(1 + 8n) > ) 2 + 5v < -18 or -8v + 10 < 34 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