Students entering Algebra or students who would like to review Algebra concepts. Summer Packet: Do a few problems per week, and do not use a calculator. Write each as an algebraic epression. ) the quotient of k and ) the product of and u ) the quotient of a and 7 ) the quotient of n and ) the sum of 7 and 0 ) n more than 8 7) n cubed 8) c squared 9) cubed 0) squared Evaluate each epression. ) + ) + ) ( ) ) 0 + ) + ) 7) 9 8) 9) ( ) 0) + + ) ( 8) ) + ( ) ) ( ) 7 ) ( ) M Iq0w[7j KcuWtjaw OS]olfFtnwfa`rIei MLpLLC^.i M PAelulT FriVgahetZsW `refsfelrgvexdu.c C OMjadYeI Mwdi^tohX WIdnSfHiGnbiutZeR FAal`gKenbtraab GA. -- Worksheet b Kuta Software LLC
) ( ) + ) ( ) + 7 7) + ( ) 8) ( ) + 7 9) ( ) + 0) ( ) Find each product. ) (7)( 9) ) ( 9)() ) ( 9)( 8) ) ( 8)() ) ( 7)( 9) ) ( 0)( ) 7) ( 9)( 9) 8) ()( ) 9) ( )( 7) 0) (9)( ) Find each quotient. ) ) ) ) 0 ) ) 0 7) 8) 8 9) 0 0) 7 Simplif each epression. ) + + 8 ) 7n + 0n ) n n ) 0b + + 9 O qo0ow7[ okcuutcay XSUoOfutIwkaLrIe_ KLPLCf._ p \AlplX zrifguhvttsw ZriedspearZvzeld\.Z s rmlacdzes uwdiztbhp cientfijnqi^t_e\ ZA_lRgkeborEaG VY. -- Worksheet b Kuta Software LLC
) 8r r ) n + n 7) 9b + 7 + b + 8 8) n + 8n 9) 9 0) v + v Solve each equation. ) b = 7 ) = n ) n = ) k = ) = a + 8 ) n 7 = 0 7 7) n = 7 8) = v 8 9) n 9 = 9 70) 7 = 8 7) 8 + = 7) ( + ) = 0 7) 7 = 9( + n) 7) = + p 7) 0 = 8 + 7) 7 + 7 = 77) 9( + 9) = 7 78) 7 = 7p 79) v = 7 80) 00 = ( + k) 8) 7( 8p) = 8) 0 = ( ) 8) = 7( + n) 8) 8( + ) = 88 h [q0ie7s YKkuvtfaM lsvopf_tiwzaqr`ea sl`loca.e j wadl`li \raiqgeh]tssq [rqeks_etrtvvebdu.f \ gmbandde] mwoiztlhq PIOnafficnbintieS EA^lZgjezbPr[az Si. -- Worksheet b Kuta Software LLC
8) 8( + ) = 88 8) ( n 8) = 98 87) n + ( + 8n) = 7 88) (7 + ) = 0 89) 8( 7b) = 90) 8 = (8n 7) + 8 9) k = 9) k = 9) b = 9) n + = 9) m 0 = 9) m = 97) a = 98) + = 99) 7 + = 7 00) 0p = 80 0) Kristin drove to the lake and back. It took one hour less time to get there than it did to get back. The average speed on the trip there was 0 km/h. The average speed on the wa back was 0 km/h. How man hours did the trip there take? 0) A jet left Singapore and flew toward Jakarta at an average speed of 0 mph. An Air Force plane left si hours later and flew in the same direction but with an average speed of 00 mph. How long did the jet fl before the Air Force plane caught up? 0) An aircraft carrier made a trip to Madagascar and back. On the trip there it traveled mph and on the return trip it went 0 mph. How long did the trip there take if the return trip took hours? 0) A container ship left the Dania Pier and traveled west. An aircraft carrier left one hour later traveling km/h faster in an effort to catch up to it. After nine hours the aircraft carrier finall caught up. Find the container ship's average speed. 0) A passenger plane left Toko and flew east at an average speed of 0 mph. A jet left three hours later and flew in the same direction but with an average speed of 88 mph. How long did the passenger plane fl before the jet caught up? 0) A submarine left Port 9 and traveled toward Madagascar. An aircraft carrier left seven hours later traveling mph faster in an effort to catch up to it. After three hours the aircraft carrier finall caught up. Find the submarine's average speed. F I`0PC7r tkpuktza^ WSmoefVtpwVaSrHeh _L[LECL.J U zailtly _raitgshqtxs` Gr`eUsZe[rwvWeFdG.A X AMJakdAeO mwwistih XIJnBfTiinzi^tAe` YAflhgIeRbwraV cl. -- Worksheet b Kuta Software LLC
07) A submarine left the Azores and traveled east at an average speed of km/h. A cruise ship left three hours later and traveled in the same direction but with an average speed of 8 km/h. How long did the submarine travel before the cruise ship caught up? 08) Arjun left the mall and traveled west at an average speed of 0 mph. DeShawn left four hours later and traveled in the opposite direction with an average speed of 70 mph. Find the number of hours DeShawn needs to travel before the are 0 mi. apart. 09) Anjali and Eugene left the hardware store at the same time. The drove in opposite directions. Eugene drove 0 km/h slower than Anjali. After one hour the were 70 km apart. Find Anjali's speed. 0) An Air Force plane left New York at the same time as a jet. The planes flew in opposite directions. The jet flew at a speed of 00 km/h. After three hours the were 0 km apart. How fast did the Air Force plane fl? Solve each equation for the indicated variable. ) a m = n p, for a ) z = ma b, for a ) u = k, for ) a + k = v w, for a ) + c = d + r, for ) g = b c + a, for a 7) a m = n p, for a 8) c a = d + r, for a 9) a + m = n p, for a 0) + c = r d, for Draw a graph for each inequalit. ) n > 7 0 7 ) n 7 0 7 ) b > 7 0 7 ) b 7 0 7 ) > 7 0 7 ) r 7 0 7 p \H0XI7a QKauWtIaV RSaoefttowqaNrJeo XL`L\Ch.C t fabl^ll YrriSgch^tQsE NrQedsle\rGvWe[d`.] MFawd`eK hwsijtnhn UIKnVfzifnwitSei iadlmgve\bcr_ao en. -- Worksheet b Kuta Software LLC
7) > 7 0 7 8) r 0 7 0 7 9) p < 7 0 7 0) b 7 0 7 Solve each inequalit and graph its solution. ) 8 + 0 ) 98 n 7 8 9 0 ) b > 0 7 8 9 ) 9 80 78 7 7 7 70 ) v 7 8 9 0 ) n 0 7) 8 p + 8) 8 < v 0 8 8 7 0 9) 0 7 8 9 0) 7 8 9 0 ) 0 < (n 7) 7 8 9 0 ) > + 0 8 R cl0ja7k XKVu_tkan SqoYfRtLwPaOrKeJ rlultcr.f ] vatlolr mrcirghhbtfss Br\e\swe[r[veeddU.s W omvakd[el Zwwietzh_ VIznVfAiXnwietIeD EAKlBgPeIbGreaP EY. -- Worksheet b Kuta Software LLC
) + m 7 0 ) (0 + r) 0 8 ) > + ) 7( + n) < 8 8 0 8 0 7 8 7) (v ) < 0 8 8) 8 0 8 9) 99 < 9( + ) 8 0 0) 9 7 8 9 0 ) (8b + 8) < 9 ) 8 > ( + 7) 9 8 7 0 0 8 ) 8 > (n + 8) ) 7( 8v) < 7 7 8 9 0 7 8 9 0 ) ( + 7) + 0 7 8 9 0 ) 0 7( + ) 0 8 r GG0JM7w XKOuUtCad RSWoLf[tLw\a_r\eC tlnlvct.h h cailqlk OrMiHg\hntAsz QrHeRsjegrZv`e[dg.f ] YM`aadKe rwhigtbhw pi^npfqijnwijtweu nahlig_epbmrkaq I. -7- Worksheet b Kuta Software LLC
7) (n ) 98 0 8 8) 8 ( + ) 7 8 9 0 9) 89 (8m 7) 0) 00 < ( + n) 9 8 7 0 7 8 9 0 Solve each compound inequalit and graph its solution. ) > 0 and 8 < ) n > or n 0 7 8 9 0 8 0 ) n 8 > or n + 9 7 8 9 0 ) v 7 or v 8 < 8 0 8 ) r > and r ) 9 + v or v 0 > 0 7 8 9 0 9 8 7 0 7 7) + > and 8) 7 + 7 0 8 0 0 7 8 9) v 0 or v 70) + 0 or < 0 8 0 0 8 Z \H0pc7t hksumthap csaovflttwbajrtev llnltch.j R DAGlUlO friiagthnt_s_ Or[e_sPeWrovGeedG.h p Moa[deE uwjigt_hl vinufviynqijtjea _Azl[g_e^bVr[aR \q. -8- Worksheet b Kuta Software LLC
Solve each inequalit and graph its solution. 7) n 0 < 7 8 9 0 7) < 0 0 0 0 0 7) v + 0 8 0 7) > 8 0 8 7) n 7 < 7) v 8 > 0 0 0 0 0 0 0 0 0 0 0 77) + a < 0 7 8 78) 0 0 0 0 0 0 0 0 0 0 79) v 0 8 0 8 0 80) r + 7 0 8 0 Solve each proportion. 8) = 7 a 8) = 0 8) = a 7 8) = 8 8) = n 8) 0 b = 87) 7 = 8m 88) b = 9 f ^H0^d7 GKlujtDaM QSIodf_tIwcaPrIeH ILJLfCk.i O FATlVln VrSiHgohItjsH brzefsge_r^voeyd[.u e pm\a^dweq IwBitShv licnefigneiithe^ VAHlHgzeSb\raa] Cj. -9- Worksheet b Kuta Software LLC
89) 0 = 8 b 90) k = 9 Solve each problem. 9) What is 0% of 9.? 9) What percent of 7 is 80? 9) What percent of 00 is 8? 9) 8 is what percent of? 9) What is % of? 9) 0% of is what? 97) 7% of 09 is what? 98) is what percent of 9? 99) 7% of what is 08? 00) 0 is what percent of? Find each percent change. State if it is an increase or a decrease. 0) From 89 to 0) From 78 to 9 0) From 0 to 0) From 7 to 8 0) From 97 to 0 0) From 78 to 8 07) From to 9 08) From to 09) From 9 to 80 0) From 7 to Find the slope of the line through each pair of points. ) (7, ), (, 7) ) (7, ), ( 8, ) ) (, ), (, ) ) (9, 8), (, ) ) (9, ), (, ) ) (, ), (8, ) 7) (8, 7), (, ) 8) (, ), (, ) 9) (, 7), (, ) 0) (9, 9), (, ) ) (, ), ( 0, 9) ) (, 0), (, 0) q ZF0MK7p bknutnah BSioVfCtmwEair^eY nlblic_.f G naqluli BrdiZgdhttssd eriexstevravlesda.j E rmsapdoed swyivtnhp liunefqihnnizt_ew aalpgoerbkrbac ac. -0- Worksheet b Kuta Software LLC
) ( 9, ), (, ) ) (0, 9), (, ) ) (0, ), (, 9) Find the slope of each line. ) = 7) = 8) = 9) = 7 + 0) = + Find the slope of a line parallel to each given line. ) = 8 + ) = + ) = ) = ) = Find the slope of a line perpendicular to each given line. ) = 7) = + 8) = + 9) = 0) = H h]0md7n FKu^tuaX SXoRfFthw^aHr^eQ CL^LQCS.` A va^lglf gruizghetks JrpeOsOezrNvLeEd.] K zmrawdaev mwiipt\h jitncfliznyittcee haglrg\epbcrsag be. -- Worksheet b Kuta Software LLC
Sketch the graph of each line. ) -intercept =, -intercept = ) -intercept =, -intercept = ) -intercept =, -intercept = ) -intercept =, -intercept = ^ k`0sz7^ MKuumtVaw ascoifetjwfahrbea PLuLACD.^ ` mapll^ BrYighhGtIsN WrAeCsYeCrgvNewdU.\ \ DMvadMeL NwLiItYhF YIlnQfgiOnmiRtIeh \Aqlvg\ezbirCap cr. -- Worksheet b Kuta Software LLC
) -intercept =, -intercept = ) + = 7) = 8) = g fe0ll7v dkiutaa psnofmtnwuafrvef _LLQCz.g Q QAFlzlU SrEilgkhBtss_ prdepspe\rlvmexdn.n t imlafdheo ZwVitrhc hicnqfvilnhiuteeb NAElQgMeSberMa Nc. -- Worksheet b Kuta Software LLC
9) = 0) + = ) = ) = R gj0wf7d KKBuGtUal nsbonfqtzwkazrwep DLfLjCZ.J e haqlslv UrtiPghetksp vrjevscewrkvheadm.n ^ mmvagdiez rwiizthhc ZInkfWiEnqictaeX TA_lZgIeBbSrBa^ mn. -- Worksheet b Kuta Software LLC
) = ) = + ) = Write the slope-intercept form of the equation of each line given the slope and -intercept. ) Slope =, -intercept = 7) Slope = 0, -intercept = 8) Slope =, -intercept = 9) Slope = 7, -intercept = M p0av7e nkeustdal WSboVfhtHwZaTrOen llilhcu.y I UAhlIlN \rjizgmhmtssr RrNessce]rnveeBdA.r m mmha_dmef ewgigtthx oifnvfbiwncimtzei MAwlfgheBbJrKaU Nf. -- Worksheet b Kuta Software LLC
0) Slope =, -intercept = 0 Write the slope-intercept form of the equation of each line. ) = 0 ) + = ) + = ) + = 0 ) + = 0 ) = ( + ) 7) + = 0 8) 0 = 9) = 8 ( + ) 70) + = ( ) Write the slope-intercept form of the equation of the line described. 7) through: (, ), parallel to = 7 8 7) through: (, ), parallel to = 7) through: (, ), parallel to = + 7) through: (, ), parallel to = + 7) through: (, ), parallel to = 7) through: (, ), perp. to = 77) through: (, ), perp. to = 78) through: (, ), perp. to = 8 + 79) through: (, 0), perp. to = 80) through: (, 0), perp. to = f kr0od7g `KAu^tcal usaovfftwwajraeu qlflhcd.v [ OADl^lZ QrUiqgFhqtnsY lrrehsve[rlvtevdg.b P RM]aFdWew wwmirtdhp JIinIfFiJnvictNeW da`lugiehblr_ap zp. -- Worksheet b Kuta Software LLC
Graph each equation. 8) = + 8) = 8) = + 8) = q H0Pm7Q pknumtuab KSeoYfptZwwaOrGeI SLiLGCc.q n FAMlilr krripgsh^tnsp eryefskecrjvwepdj._ M gmjazdaeb ewmiqt[ht ui_nnfvijn[irtgey EAzlEg`erbDrdaA GR. -7- Worksheet b Kuta Software LLC
8) = + 8) = 87) = 88) = N YN0pg7F ZKeuMtcak OSNoWfGtGwWaYrden klhl_c\.l H bazlmlu XrgiIg]hhtbsV irzers[evrqv^ekdh. f bmiaodwet BwNimtrhJ NIUnCfIi\nsiStVer barldguevbsrhai ve. -8- Worksheet b Kuta Software LLC
89) = + 90) = Solve each sstem b graphing. 9) = = 7 + 9) = + = 9) = = + 9) = + = 9) = = + Solve each sstem b elimination. 9) = 8 = 0 97) = 7 8 + = 98) + 8 = 0 + = 99) 9 = 8 8 = 7 00) 8 = + = 0) = 8 + 0 = Z Yg0bk7[ kkguotwao JSoFfIt]w[aprseK FL^LzCK. d qahlfli ErXiPgGhKtosf MrQeQsme_r^v\e_d.r Z MKaVdfeO ]wuittfhx SInpf_iVnziStseW faklggteabgrbaq H\. -9- Worksheet b Kuta Software LLC
0) = + 9 = 0) 8 = 8 + = 0) 0 + = 0 + = 8 0) = 0 0 + = 0 Solve each sstem b substitution. 0) + = = 07) = + = 08) = 9 + = 09) = 7 7 = 0) = 0 = 0 ) + = = ) + = 8 + = ) + 7 = + = ) = + = ) = + = ) Jill and Stephanie each improved their ards b planting dalilies and geraniums. The bought their supplies from the same store. Jill spent $8 on dalilies and 7 geraniums. Stephanie spent $8 on dalilies and geraniums. Find the cost of one dalil and the cost of one geranium. 7) A boat traveled miles downstream and back. The trip downstream took hours. The trip back took hours. Find the speed of the boat in still water and the speed of the current. 8) The local amusement park is a popular field trip destination. This ear the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled vans and buses with 8 students. High School B rented and filled vans and 7 buses with 80 students. Ever van had the same number of students in it as did the buses. How man students can a van carr? How man students can a bus carr? 9) The school that Stefan goes to is selling tickets to a pla. On the first da of ticket sales the school sold adult tickets and 8 child tickets for a total of $0. The school took in $70 on the second da b selling adult tickets and child tickets. What is the price each of one adult ticket and one child ticket? _ Yl0CM7Z bkuuktwaz esaolfetqwrazrzel jlldc.l I gailwlc Prvicg_hjtmse NrIeIsDemrBvVeGdX.n d tmna[dues rwsimtkht Iinlf]idnniztPel taslrgmevbvrkad q. -0- Worksheet b Kuta Software LLC
0) Perr and Totsakan each improved their ards b planting dalilies and ornamental grass. The bought their supplies from the same store. Perr spent $9 on dalilies and bunches of ornamental grass. Totsakan spent $9 on dalilies and 9 bunches of ornamental grass. What is the cost of one dalil and the cost of one bunch of ornamental grass? ) The sum of the digits of a certain two-digit number is 9. Reversing its digits increases the number b 9. What is the number? ) The school that Eduardo goes to is selling tickets to a spring musical. On the first da of ticket sales the school sold adult tickets and student tickets for a total of $. The school took in $87 on the second da b selling adult tickets and student tickets. What is the price each of one adult ticket and one student ticket? ) Nicole and Adam are selling fruit for a school fundraiser. Customers can bu small boes of oranges and large boes of oranges. Nicole sold small boes of oranges and 0 large boes of oranges for a total of $. Adam sold small boes of oranges and large boes of oranges for a total of $. What is the cost each of one small bo of oranges and one large bo of oranges? ) When ou reverse the digits in a certain two-digit number ou increase its value b 8. What is the number if the sum of its digits is 0? ) A plane traveled 0 miles to Casablanca and back. The trip there was with the wind. It took hours. The trip back was into the wind. The trip back took hours. Find the speed of the plane in still air and the speed of the wind. Simplif. Your answer should contain onl positive eponents. ) 0 7) 8) 9) 0) 0 ) v uv ) ) n mn ) ) a ba ) ( 0 ) 0 0 7) ( ) 8) (( ) ) 9) ( m n ) ( n ) C G^0In7J ckkuytwa _SkoifutEwPaPrseD QLLLTCW.j H OAlMlO RrwiTgBhZtQsQ ordeqsuemruvfewde.q Q ZMmafdnei ]wcittthg FI`ndfuihnRiItLeI eablggseuburbam OQ. -- Worksheet b Kuta Software LLC
0) ( m n ) 0 mn ) ( 0 )0 ) ( 0 ) ) ( a b 0 a b ) ) ( u v ) u v ) a b ( a ) ) ( 0) 7) m n m ( m n ) 8) ( u v 0 ) vu vu ( ab 9) ) ab a b 0) ( ) 0 ) a a b ) ( ) ) ( ) ) n n m n 0 ) ( 0 ) 0 Write each number in scientific notation. ) 0000 7) 0.09 8) 8000 9) 888000 0) 00000 ) 0.0 ) 7. ) 0. ) 000 ) 0.00 Write each number in standard notation. ) 7.0 0 7).8 0 B Us0eY7j skjuctia` UStoFfOtdwWavrFec glpl]cu.m o iabldls ]rei^gehtosu urneqsoevrwvoepdl.w F qmfavdoer Pwdiqtvhp cianqfnidnlidtheb [Abl_gheAburSaa `M. -- Worksheet b Kuta Software LLC
8) 8.7 0 9). 0 70). 0 7). 0 7).97 0 7). 0 7) 0 7).7 0 Simplif. Write each answer in scientific notation. 7) ( 0 )( 0 ) 77) ( 9. 0 )(. 0 ) 0 78) ( 0 )( 0 ) 79) (. 0 )(.8 0 ) 80) (.7 0 )( 0 ) 8) (. 0 )(.8 0 ) 8) ( 7 0 )( 8. 0 ) 8) (.8 0 )( 0 ) 8) (.77 0 )( 0 0 ) 8) (.9 0 )( 8 0 ) Simplif each epression. 8) (8 p p ) + (p 7 + p ) 87) (8 + 7) + ( + ) 88) (m 8m + 8m ) (8m + m 7m ) 89) (8 + 8m m ) (m + m ) 90) (b + b + ) ( b 7b ) 9) (a + a) ( + a + a ) 9) (7n 8n 8n ) (n n n) 9) (n + 8n + 8n ) (n + n + n ) 9) (r + r r ) (r + r r ) 9) (n + + n ) + (7n + 8n ) Find each product. 9) (r + )(r 7) 97) (a )(a + ) T zs0mg7 PKnuHtYaQ _SfoWfQtHwfarJe VLsLXCK.f s jaslalu lrtiigahwtbsl brze^smecruvseido.l N dmtabduea WwriUtehg QISnHfhiJnjiht_e_ DAljgzeFbirBau IQ. -- Worksheet b Kuta Software LLC
98) (n + )(n + ) 99) (8 8)( + ) 00) (8m )(m 7) 0) ( )( + 8) 0) (7v )(v + ) 0) ( )( ) 0) (r )(r ) 0) (b + )(b + ) 0) (v ) 07) ( + 8)( 8) 08) ( 8)( + 8) 09) (8k + ) 0) ( + ) ) (m ) ) ( + )( ) ) ( )( + ) ) ( 7) ) (r + 8) Factor the common factor out of each epression. ) 0 0b 0b 7) a + 7a + 9a 8) 70a 8 + 70a 9 + 0a 9) 0 + 0 + 0 0) 0u v u v + 0u ) 8a 8 0a 8 b + 8a b ) 7 + + 9 ) + 9 ) z 9 + 7 ) 8 z + + ) z + 7z + z 7) 8m p + 80m p n + m 8 p 8) m p q m p + mp g KA0_c7A UKzuXtdap DSbo`ftFwoaQrYep blildcl.s N ranlpl[ FrLiwgEhhtNso ArieAsreBrJvFeJda.] F mmpaydqec Fwqisthz oinnrfripnzihtret BAGlUgleFb\rQas St. -- Worksheet b Kuta Software LLC
Factor each completel. 9) v + 0v + 0) 9 0 ) + 88 ) + 8 0 ) p + p + 0 ) 90 + 00 ) r r ) + 0 + 7) p + p + 8) b + b + 70 9) + 0 0) n n 70 ) n n 90 ) n 8n + ) + 0 ) + 00 + 00 ) k + k + 8 ) p + 7p 7) n + 8n + 8) a 8a + 0 9) n 9 0) v v + ) b ) + + ) ) p + 0p + ) 9 + ) + 9 7) k k + 9 8) 9n 9) n n + 0) m ) a 9 ) r 9 ) 9v + v + ) + 0 + l ak0mv7^ `KwuStOaw NSzo^fFtswuaPrZez llrluch.l v wablzlh ]rqilgihntxsi jrqetsleprdvre\do.s k cmwabdbet \wgi_tph\ siznftidn_iztfec eaalhgxembkrbab Np. -- Worksheet b Kuta Software LLC
) 0 + ) n 7) + + 9 8) 9b + 0b + 9) n + 0n + 8n + 8 70) n 0n + n 7) 8 + 7 7) 0 + 7) v v + v 9 7) 9n + n + n + 7) 8r + r + r + 7) n n n + 0 77) 8b b 0b + 78) a a + a 79) p p + p 80) p + p + p + 8) k k k + 9 8) 0a a + a 8) r + 0r + r + 8) + 0 8) 8b b b + 8) 8n 0n n + 87) + 8 7 88) r + r + r + 8 Solve each equation b factoring. 89) p + p = 0 90) p = 7p 9) k = k 9) = 9) n + 7n = 9) + 8 = 9) r = r 9) = 9 k WR0uE7n JKBu^tna[ CSIoAfNtlwpa]r`eO \LzLSCn.] A WA\lVld VrTilgqhLtzsd TrAe]sSeBruv`eGd.^ b fmjacdjey cwuittfhb nimnhfdidnbictvew watlvg[emburjal JR. -- Worksheet b Kuta Software LLC
97) m m = 8 98) m 8 = 7m Simplif. 99) n 00) 8n 0) 0) 0) b 0) r 0) 0n 0) k 07) 80n 08) 0p 09) + 8 0) ) + + 7 ) ) 8 8 ) ) + + ) + 8 + 0 7) 8 8 + 8 8) + 8 9) ( + ) 0) ( + ) ) ( + ) ) 0( + ) R KN0EF7X ^KGumthaV dssoqfet[whagrpe] HLELWCC.j [ QAblIlt XrBiRgLhFtPsV YrWepsNeJravteKdG.P W wmvakdrem zw[irtmhc [IbnGfJiknUiftReb naglzgjedbzrraw F. -7- Worksheet b Kuta Software LLC
) 0( + ) ) ( + 0) ) ( + ) ) ( + ) 7) 0( + ) 8) ( + ) 9) + 0) + ) + ) + ) ) ) ) + 7) 8) + Solve each equation. Remember to check for etraneous solutions. 9) + k = 0) 9 = ) n = ) = + r + 0 ) + b + 8 = ) 9 + m = ) = + m 9 ) 80 + = 7) v = 8) a = 7 A ar0v7h ^KhuGtJa wsuowf_tcwaamrqep RLOLoCZ.Z o \ADl[lO prmiigch\tuso OrEeLsbegr[vueada. G [Mja_dKeA JwQiBtMhV mianffaiynvitnew _AYl`gleRbvrQad M\. -8- Worksheet b Kuta Software LLC
Answers to Summer Packet: Do a few problems per week, and do not use a calculator. ) k ) u ) a 7 ) n ) 7 + 0 ) 8 + n 7) n 8) c 9) 0) ) ) ) ) 7 ) ) 7) 8) 9) 0) 8 ) ) ) ) 9 ) ) 7) 0 8) 9) 0 0) 8 ) ) 7 ) 7 ) ) ) 0 7) 8 8) 9) 8 0) ) 9 ) ) ) ) ) 7) 8) 9) 0) 9 ) + ) 7n ) n ) 0b + ) r ) n 7) b + 8) n 9) 0) v ) {8} ) { 0} ) { } ) { 7} ) { 0} ) {0} 7) { } 8) { } 9) { } 70) {0} 7) { 0} 7) { } 7) { } 7) {0} 7) { 8} 7) {0} 77) {0} 78) { } 79) { 7} 80) {9} 8) { 8} 8) {8} 8) {7} 8) {} 8) { } 8) {} 87) {7} 88) {7} 89) {} 90) { 8} 9) {, 0} 9) {, } 9) {, } 9) {, 9} 9) {0, 0} 9) {, } 97) {, } 98) {, } 99) {0, } 00) { 8, 8} 0) hours 0) 0 hours 0) hours 0) 7 km/h 0) 8 hours 0) mph 07) hours 08) hour 09) km/h 0) 0 km/h ) a = mn ) a = z + b p m ) = u + ) a = k + v w ) = c + d + r ) a = g b + c k 7) a = m + n p c 9) a = m + n p 0) = c + r d 8) a = d r ) ) ) ) 7) 9) ) : ) b > : ) v : 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 0 0 8 8 0 b Hs0CS7J _Kwudt[aT ksjo^fttweardeq DLRLECW.m Y Amlhll RrhiVgFhHtss LrbesBeirYv[eVdJ.k s OMSaOdYeq vwtimtyhb KIjnNfLinnZi^tKea WAlRgFe`bHrfaN Wz. -9- ) ) 8) 0) ) n 7 : ) 7 : ) n : 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 8 0 80 78 7 7 7 70 0 Worksheet b Kuta Software LLC
7) p 9 : 9) : ) n < 7 : ) m 0 : ) < : 7) v < : 9) < 7 : ) b < : ) n < : ) : 7) n : 9) m 7 : 0 8 0 8 8 0 0 0 8 0 8 8 0 8 0 8 0 8 0 0 8 8 0 ) 0 < < : 0 7 8 9 ) n > or n 8 : 0 8 0 ) n > 9 or n 7 : 7 8 9 0 ) v 7 or v < 8 : 8 0 8 ) 7 < r : 8 0 ) v or v > : 0 7 8 9 0 7) < : 0 7 8 8) 9 : 0 8 0 9) v 0 or v : 0 8 0 70) or < 0 : 0 8 7) 8 < n < : 7 8 9 0 7) 0 < < 0 : 0 0 0 0 0 7) v or v 7 : 0 8 0 7) > 0 or < 0 : 8 0 8 7) 8 < n < 8 : 0 0 0 0 0 0 7) v > or v < : 0 0 0 0 0 77) < a < 7 : 0 7 8 78) 0 or 0 : 0 0 0 0 0 0 0 0 0 79) 8 v 8 : 8 0 8 N J[0kb7P gkbubtgah ZS^oHfhtwfaGrweG DLjLbCN._ d [AKlfli prfi`gdhhttsd `raecsneqrvvfehdx.p t BMuaYdGe[ Jwiintphj AIJnZflipndiStneA ea[lvgke_btrmaa Ga. -0-8) v > : 0) 8 : ) < 9 : ) r : ) n < : 8) : 0) : ) < 8 : ) v > : ) 7 : 8) 8 : 0) n > 8 : 8 0 8 0 0 8 0 8 8 0 8 0 8 8 0 0 8 8 0 0 8 8 0 8 0 Worksheet b Kuta Software LLC
80) 9 r : 0 8 0 8) {.7} 8) {.} 8) {.7} 8) {9.} 8) {0} 8) {.7} 87) {0.07} 88) {} 89) {0} 90) {.} 9) 9. 9) 8.% 9) 8% 9).7% 9). 9) 87. 97) 8. 98).7% 99) 9.9 00).8% 0) 9.% decrease 0) 7.% decrease 0) 8% decrease 0).% decrease 0) 8.% decrease 0).% increase 07) % increase 08).7% decrease 09).% increase 0) 98.7% decrease ) ) 9 ) 9 ) 7 7 ) ) 7) 0 ) 7 8) 7 9) ) 0 9 ) 0) 7 ) ) ) 7) 8) 9) 7 0) ) 8 ) ) ) ) ) 7) 8) 9) 0) ) ) ) ) ) ) g ZF0ZV7a kk^urtsai ZSSocfBtrw]aIrXeE QLNL\CH.S \ tablwlq ArSivgfhwtjsa tr]esswejrpvuewdc.u ^ XMAaudneR wwihtdhh fionef[ifn`iitrex oamlegleebrvav sj. -- Worksheet b Kuta Software LLC
7) 8) 9) 0) ) ) ) ) ) ) = + 7) = 8) = + 9) = 7 + 0) = ) = ) = + ) = ) = + 8 ) = + ) = 7) = 8) = 0 9) = 8 + 70) = + 7) = 7 8 8 7) = 7) = 7) = 7) = 77) = 78) = 8 7) = 79) = 80) = + 8) 8) [ ax0qi7q gkxujtxa^ QSZoHfUtCwCa`rseT PLCLNCi.I R TAhlbll rviqglhgtysg rwe`smelrevderdm.g R IM[aAdLei qwbi[tdhk KITnbfUifnKiYtPet KAblagheubMrzaf QB. -- Worksheet b Kuta Software LLC
8) 8) 8) 8) 87) 88) 89) 90) 9) (, ) 9) (, ) 9) (, ) 9) (, ) 9) (, ) 9) (, ) 97) (, ) 98) (, ) 99) (9, 0) 00) ( 8, ) 0) (, 0) 0) No solution 0) (, ) 0) (, 9) 0) (0, 0) 0) (, ) 07) ( 7, ) 08) (, ) 09) (, ) 0) (, ) ) (, ) ) (, ) ) (, ) ) (, ) ) (, 8) ) dalil: $, geranium: $0 7) boat: mph, current: 0 mph 8) Van:, Bus: 8 9) adult ticket: $0, child ticket: $ 0) dalil: $, bunch of ornamental grass: $ ) ) adult ticket: $9, student ticket: $ ) small bo of oranges: $8, large bo of oranges: $0 ) ) plane: 9 mph, wind: mph em0ht7d QKkuhtTa^ gswoxfwt_waaorfer plplhci._ v `AMl_lA LrNiGgphLt`su UrDebs_eUrvvQesdN.D \ KMIasdEeN CwCiKt]hP BImnsfUi\nViatoeL QAdl[gneXbRr]aq La. -- ) 7) 8) 9 9) 0) ) u ) ) n m ) v ) 8a b ) 7) 8) 9) 0) m ) ) 8 m n 0 n ) a 8 b ) 8u b ) ) v 0 a Worksheet b Kuta Software LLC
7) n 8) 9) a 0) m u 9 v b ) 0 ) ) ) n m b ) ) 0 7) 9 0 8) 8. 0 9) 8.88 0 0) 0 ) 0 ) 7. 0 0 ). 0 ). 0 ) 0 ) 0.70 7) 0.0008 8) 870000 9) 0.000 70) 0. 7) 00 7) 0.97 7) 00 7) 0.000 7) 7000 7). 0 77).9 0 8 78) 0 79).9 0 7 80) 9.08 0 8) 8.09 0 8).0 0 8). 0 7 8). 0 8).9 0 8) p + 87) + 88) m m + m 89) m m + 90) b + 7b + b 9) a 9 9) n + n 7n 9) n + n + n 9) r r + 0r + r 9) n + 0n 9) 9r 9r 8 97) a + a 98) n + n + 99) 0 00) 8m 7m + 7 0) + 0 0) 8v 9v 0) 0 + 0) r 0r + 8 0) b + 9b + 0) 9v 8v + 9 07) 08) 09) k + k + 0) 9 + 0 + ) m m + ) ) ) 8 + 9 ) r + r + ) 0( b b ) 7) 7a(a + a + 7) 8) 0a 8 (7 + 7a + a ) 9) 0( + + ) 0) u (0v v + 0) ) a 8 ( b + a 7 b ) ) ( + + ) ) ( + 9) ) 9( z + ) ) ( z + + ) ) 7z( + + ) 7) 8m p( p + 0np + 7m ) 8) 7mp (9m q mp + ) 9) (v + )(v + ) 0) ( + )( 8) ) ( )( + 8) ) ( )( + 0) ) ( p + )( p + 0) ) ( 8)( 0) ) (r + )(r ) ) ( + 8)( + ) 7) ( p + )( p + ) 8) (b + )(b + 7) 9) ( 0)( ) 0) (n + 7)(n 0) ) (n )(n + ) ) (n )(n ) ) ( 0)( ) ) ( + 0) ) (k + 7)(k + ) ) p( p + 7) 7) (n + )(n + ) 8) (a 0)(a ) 9) (n + )(n ) 0) (v ) ) (b + )(b ) ) ( + ) ) ( + )( ) ) (p + ) ) ( ) ) ( ) 7) (k ) 8) (n + )(n ) 9) (n ) 0) (m + )(m ) ) (a + )(a ) ) (r + )(r ) ) (v + ) ) ( + ) ) ( ) ) (n + )(n ) 7) ( + ) 8) (b + ) 9) (n + )(n + 8) 70) (n + 8)(7n ) 7) ( )( + )(7 + ) 7) ( 7)( ) 7) (v + 7)(v 7) 7) (n + )(n + ) 7) (r + )(7r + ) 7) (n )(n ) 77) (b )(8b 7) 78) (a + )(8a ) 79) (p + )( p ) 80) (p + )( p + ) 8) (k )(8k ) 8) (a + )(a ) 8) (r + 8)(r + ) 8) ( )( + ) 8) (b )(8b ) 8) (n )(n ) 87) ( 7)( + 8) 88) (r + )(r + 7) 89) {, } 90) {7, 0} 9) {, } 9) {, } 9) {, } 9) {7, } 9) {, } 9) {} 97) {8, } 98) {8, } 99) 8n 00) 8n 0) 7 7 0) 7 0) 7b 0) r 0) n 0) k 7k 07) n n 08) p 09) + 9 0) 8 ) ) ) ) ) ) + 7) -- 8) 9) 0 + z uq0[g7a pknuqtfa^ ssloqftbwga[rlek YLuLuCP.Z V CAql`lK RrsiVgchEtmsE MrQevskerBvued].e B gm_ardhel VwgistqhF OIpn`fEiwnWiYtKe HAsl_gieWbAruaL Op. Worksheet b Kuta Software LLC
0) 0 8 0 ) + ) 0 0 ) 9 0 ) 0 ) 0 ) 7) 8 0 8) + 9) + 0) 9 + + 0 ) ) + 7 ) + 8 0 + ) ) ) 0 9 7) 8) 9 9) {} 0) {0} ) {} ) {90} ) {8} ) { } ) {8} ) {} 7) { } 8) {7} P Vj0^7^ SK_ultRaj sssolfvtmwhalrhec CLnLSCs.K Y watlllh JrSiWgghItQsu FrNeisVeMrcv`e]dZ.D q hmuaydzen rwnihtphq dignqfliengiitker `AblegBebbWraw F. -- Worksheet b Kuta Software LLC