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# INTERMEDIATE ALGEBRA MATH 104

Eastern Washington University

GPA 3.9

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This 37 page Study Guide was uploaded by Hilbert Goldner on Sunday October 11, 2015. The Study Guide belongs to MATH 104 at Eastern Washington University taught by Staff in Fall. Since its upload, it has received 23 views. For similar materials see /class/221494/math-104-eastern-washington-university in Mathematics (M) at Eastern Washington University.

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Date Created: 10/11/15

ChapTer 9 STudy Guide MaTh 104 1 Make Time in your schedule To learn you cannoT Take shor TcuTs 2 Read each secTion in your Tebeook and answer39 The quesTions in The sTudy guide before you go To class 3 Take noTes in class Trying To under sTand as The Teacher39 pr esenTs examples and explains concest 4 Do your homework IT should be easier afTer39 The previous Two sTeps Make sure To under sTand whaT you are doing and be able To solve each problem compleTely and cor r echy by yourself 5 Carry on a conver saTion wiTh yourself as you work asking as you sTar T each problem WhaT is This WhaT is my goal WhaT should my answer39 look like when I am donequot Then as you work a problem ask WhaT pr oper Ty allows me To Take This sTepquot And aT The end Does my answer39 make sense How can I check iTquot 6 MainTain a gr eaT aTTiTude abouT lear ning Algebr a people who have a good aTTiTude find iT easier39 To learn and Those who learn algebr a well usually enjoy iT 7 Go To The lab or your insTr ucTor s office and geT help when you need iT SecTion 91 Radicals and RaTional ExponenTs Read secTion 91 pages 514 520 and answer The following quesTions as you read 1 Explain in words whaT number is referred To by N For The number Vg whaT is The index and whaT is The radicand 3 If x y5 Then is a rooT of 4gt Why isn39T The even rooT of a negaTive number a real number Give an example of The even rooT of a negaTive number 01 LisT The firsT Twelve perfecT squares 6 LisT The firsT five perfecT cubes 7 LisT The powers of Two Through 21021024 8 Find The roo rs a JR b 5 c H i 4 5 O exponen rs as radicals Simplify if Possible Rewri re radicals wi rh ra rional exponen rs and expressions wi rh ra rional Radical Expression Ra rional exponen r Simplified expression 63 VET 16 8 VJ 2 6x3 3quot162 l 362 10 Simplify The following expressions you may need To review The rules of exponen rs on page 517 1 1 a x3 x2 l 3 1 2x2 x2 92x2 SecTion 92 Simplifyinq Radical Expressions Read secTion 92 pages 524 528 and answer The following quesTions as you read 1 Simplify The radical Describe your sTr aTegy 2 Simplify 3 128x5y12 3 LisT The Three cr iTer ia ThaT musT be saTisfied for a radical To be simplified 4 Simplify 5 Simplify 32 a 6 Describe whaT Two r adicals musT have in common before They can be combined Through addiTion or sLibTr39acTion SecTion 93 MulTiplyinq and Dividinq Radical Expressions Read secTion 93 pages 532 535 and answer39 The following quesTions as you read SecTion 94 Solvinq Radical EquaTions Read secTion 94 pages 540 545 and answer39 The following quesTions as you read SecTion 95 Complex Numbers Read secTion 95 pages 550 555 and answer39 The following quesTions as you read ChapTers 7 amp 8 STudy Guide MaTh 104 1 Make Time in your schedule To learn you cannoT Take shor TcuTs 2 Read each secTion in your Tebeook and answer39 The quesTions in The sTudy guide before you go To class 3 Take noTes in class Trying To under sTand as The Teacher39 pr esenTs examples and explains concest 4 Do your homework IT should be easier afTer39 The previous Two sTeps Make sure To under sTand whaT you are doing and be able To solve each problem compleTely and cor r echy by yourself 5 Carry on a conver saTion wiTh yourself as you work asking as you sTar T each problem WhaT is This WhaT is my goal WhaT should my answer39 look like when I am donequot Then as you work a problem ask WhaT pr oper Ty allows me To Take This sTepquot And aT The end Does my answer39 make sense How can I check iTquot 6 MainTain a gr eaT aTTiTude abouT lear ning Algebr a people who have a good aTTiTude find iT easier39 To learn and Those who learn algebr a well usually enjoy iT 7 Go To The lab or your insTr ucTor s office and geT help when you need iT SecTion 71 Solvinq SysTems of EquaTions by Graphing and SubsTiTuTion Read secTion 71 pages 374 384 and answer The following quesTions as you read 1 WhaT is a sysTem of eguaTions 2 WhaT is a soluTion of a sysTem of equaTions 3 Which of The ordered pairs is a soluTion of The sysTem a 2 1 or b 1 2 2x3y 4 x 2y 5 Explain how you know 4 The auThor sTaTes ThaT The soluTions of a sysTem are The poinTs of inTersecTion of The graphs Explain why This musT be True 5 Explain how To solve a sysTem of equaTions graphically 6 Make a noTe card for each of The following words found in The box on p 376 consisTenT dependenT and inconsisTenT Draw an example for each on The cards O WhaT do you know abouT a sysTem of Two linear equaTions if The slopes are The same WhaT do you know abouT a sysTem of Two linear equaTions if The slopes are The differenT WhaT is The goal of solving a sysTem using The meThod of subsTiTuTion Use The meThod of subsTiTuTion To solve The sysTem follow The sTeps of example 7 xy 5 x2y 4 Read Thr ough examples 8 12 covering up The work in The book and Trying To guess The nexT sTep before looking An inTer esT r aTe pr oblem Follow The sTeps of example 13 To solve The inTer esT r aTe pr o blem A ToTal of 12000 is invesTed in Two funds paying 85 and 10 simple inTer esT The annual inTer esT is 1140 How much is invesTed in each bond SecTion 72 Solvinq SysTems of EquaTions by EIiminaTion Read secTion 72 pages 389 394 and answer39 The following quesTions as you read 1 WhaT is The goal of solving a sysTem of equaTions by eliminaTion 2 In each of The following sysTems add The Two equaTions Which var iable if any is eliminaTed 2x 5y3 6x7y1 2x 7y8 a c 2x5y5 6x 6y4 2x4y3 3 Look aT 2 above and sTaTe in words whaT musT be Tr ue for a variable To be eliminaTed when Two equaTions are added x 4 5 4 Solve The sysTem by eliminaTion y 5x 4y 7 3 2 5 Solve The sysTem by eliminaTion follow example 2 x y 3x 7y4 SecTion 81 RaTionaI Expressions and FuncTions Read secTion 81 pages 444 449 and answer39 The following quesTions as you read 1 A 4gt Find The domain of gx WhaT is a r aTionaI funcTion Give an example differ enT from The TexT WhaT does domain mean WhaT is The domain of a r aTionaI funcTion Why can39T The denominaTor be equal To zer o 6x x2 16 Wr iTe your answer39 in inTer vaI noTaTion EvaluaTe The funcTion in 3 for The indicaTed values lt1 g7 g0 How can you Tell a r aTionaI funcTion from a r aTionaI expression How do you know when a r aTionaI expression is in simplified or reduced form 7 Explain how you can Tell a Term from a facTor Which one can you cancel from The numeraTor and denominaTor of a raTional expression 8 WhaT is always The firsT sTep in simplifying a raTional expression Simplify The following expression and wriTe The sTeps you Take in words To The righT of your work 8x3 4x2 20x SecTion 82 MulTiplyinq and Dividinq RaTional Expresssions Read secTion 82 pages 454 458 and answer The following quesTions as you read 1 If you do noT remember how To mulTiply or divide fracTions go To p 34 and review The Topic 2 In example 2 The auThor wriTes in red mulTiply numeraTors and denominaTorsquot He wriTes Them wiTh a doT mulTiplicaTion symbol beTween buT does he ever mulTiply The Two facTors WhaT does he do in The nexT sTep Why 5y 202y6 3 MulTiply and simplify 5 15 4 y y Explain your sTeps as you go 5x 7 Ex lain our sTe sas ou o x7 x28x7 p y p y 9 4 Divide and simplify 5 Simplify The complex fr39acTion Explain your sTeps as you go 25x2 x 5 10x 54x x2 SecTion 83 Adding and SubTr acTinq RaTional Expressions Read secTion 83 pages 463 468 and answer The following quesTions as you read 1 WhaT musT be Tr ue abouT Two fr acTions before They can be added or subTr39acTed If you do noT remember how To add and subTr acT fr acTions go To page 31 To review Them N Finish The senTence descr39ibing boTh The numer aTor and The denominaTor of The sum To add Two fr acTions wiTh common denominaTor s A Find The leasT common mulTiple of 7x3 and 6x2y 4 If you are finding The leasT common mulTiples of Two or more polynomials whaT form musT The polynomials be wriTTen in 01 Find The leasT common mulTiple of 2X2 4 and 3x3 0 SubTracT and describe each sTep you Take To The righT of The work 3yy74 y2 y12 y2 3y 7 So for you have learned To add subTracT mulTiply and divide raTional expressions 0 Which operaTions require you To facTor denominaTors Why b Which operaTions require you To facTor numeraTors Why c Which oper aTions require you To find a common denominaTor Why SecTion 84 Solvinq RaTional EquaTions Read secTion 84 pages 474 480 and answer39 The following quesTions as you read 1 WhaT pr oper Ties can we use on equaTions ThaT we cannoT use on expressions N In general whaT is The fir sT sTep when solving a r aTional equaTion 3 Why do you need To check your soluTion when you have solved a r aTional equaTion WhaT helpful Tip does The auThor offer aT The boTTom of page 477 4 Solve The equaTion and wr iTe you sTeps To The r ighT of your work 12 x5x x Follow example 8 To solve The following sTory problem A manufacTuring planT can produce x uniTs of a cerTain iTem for 42 per uniT plus an addiTional invesTmenT of 60000 How many uniTs musT be produced To have an average cosT of 45 per uniT Verbal model Labels EquaTion Solve Does your answer make sense WriTe your answer in a compleTe senTence SecTion 86 VariaTion Read secTion 86 pages 495 500 and answer The following quesTions as you read 1 Example 1 showed ThaT when 10000 producTs sold 142500 was generaTed The soluTion was 1425 WhaT does The 1425 mean 2 DirecT variaTion Follow example 1 Assume ThaT The ToTal revenue R in dollars obTained from selling x uniTs of a producT is direchy proporTional To The number of uniTs sold When 8000 uniTs are sold The ToTal revenue is 232000 a Find a model ThaT r elaTes The ToTal revenue R To The number of uniTs sold x b Find The ToTal r evenue obTained from selling 13000 uniTs 3 Inver se var iaTion The mar keTing depar TmenT of a company has found ThaT The demand for one of iTs pr oducTs var ies inver sely as The price of The pr oducT When The price of The pr oducT is 425 The monThly demand is 112000 uniTs a Find a model ThaT r elaTes The price per uniT p To The number of uniTs sold each monTh x b Appr oximaTe The monTth demand if The price is reduced To 400 4 JoinT var39iaTion The simple inTer esT for a cer Tain savings accounT is Joinle pr opor Tional To The Time and The principal AfTer39 5 years The inTer esT for a principal of 3400 is 1105 a Find a model ThaT r elaTes The inTer esT ear ned I wiTh The principal P and The Time T b How much inTer esT would a principal of 2000 earn in 4 years ChapTer 6 STudy Guide MaTh 104 1 Make Time in your schedule To learn you cannoT Take shor TcuTs 2 Read each secTion in your Tebeook and answer39 The quesTions in The sTudy guide before you go To class To read a secTion fir sT read The objecTives headings and any boxed infor maTion This will give you a preview of whaT To expecT Then read The secTion carefully Tr ying The examples and filling in missing sTeps If you don39T under sTand someThing wr iTe your quesTion in The margin nexT To The words or problem you don39T under sTand 3 Take noTes in class Trying To under sTand as The Teacher39 pr esenTs examples and explains concest 4 Do your homework IT should be easier39 afTer39 The previous Two sTeps Make sure To under sTand whaT you are doing and be able To solve each problem compleTely and cor r echy by yourself 5 Carry on a conver saTion wiTh yourself as you work asking as you sTar T each problem WhaT is This WhaT is my goal WhaT should my answer39 look like when I am donequot Then as you work a problem ask WhaT pr oper Ty allows me To Take This sTepquot And aT The end Does my answer39 make sense How can I check Hquot 6 MainTain a gr eaT aTTiTude abouT lear ning Algebr a people who have a good aTTiTude find iT easier39 To learn and Those who learn algebr a well usually enjoy iT 7 Go To The lab or your insTr ucTor s office and geT help when you need iT SecTion 61 FacTor inq Polynomials wiTh Common FacTor39s Read secTion 61 pages 322 326 and answer39 The following quesTions as you read 1 WhaT is facTor ing 2 Circle all The polynomials below ThaT ar39e facTor39ed How do you know They are facTor ed a 6x2 b 2x 4x2 c 2x1 2x d x4 3x1 e x43x1 Which of The expressions above are equivalenT 3 Explain how To find The gr eaTesT common facTor of Two monomials If iT helps use 4 as an example 4gt Find The gr eaTesT common facTor39 of 14a2b3 and 49a4 01 FacTor39 ouT The gr eaTesT common facTor fr om 12x 15 How do you know whaT To puT in The par39enTheses 0 FacTor39 The gr eaTesT common monomial facTor fr om 32y3 24y2 8y Check your39 answer39 using The disTr ibuTive pr oper Ty 7 FacTor 3xZ 12x 9 in Two ways a FacTor ouT a common monomial facTor of 3 b FacTor ouT a common monomial facTor of 3 8 Give an example of a binomial whose gr eaTesT common facTor is 5x Then facTor iT 9 Under line The common binomial facTor s in The following polynomials and Then facTor The binomials ouT Some polynomials may noT have a common binomial facTor in which case you will noT be able To facTor iT a 8x4x 34x b ayzlty 2gt slty2gt c 2x2 x 4 54 x 10 FacTor 5x2 10x2x 4 by grouping 11 The area of a r ecTangle can be r epr esenTed by The polynomial x3 3x2 2x 6 Find The dimensions of The r ecTangle Explain how you know These musT be The dimensions 12 Find a polynomial ThaT facTor39s as x 4X2x 5 SecTion 62 FacTor inq Tr inomials Read secTion 62 pages 330 334 and answer39 The following quesTions as you read 1 Warm up find all pairs of numbers ThaT mulTiply To 36 N FOIL each of The following expressions buT do M combine like Terms You are going To facTor39 The r esulTs so leave space a x3x 7 b x 4Xx 5 c x5x2 A FacTor39 each of your39 answers in 1 by grouping WhaT do you noTice abouT The facTor39ed form and The original expression To facTor39 The Tr inomial x2 7x6 we musT find Two number39s whose is 7 and whose is 6 WhaT are The Two numbers FacTor39 The Tr inomial FOIL To check your answer39 4gt U1 To facTor The polynomial x2 4x 12 we musT find Two number39s whose pr oducT is and whose sum is FacTor The Tr inomial FOIL To check your39 answer39 0 In The Guidelines for FacTor39ing x2 bxc39 why musT m and n have unlike signs if c is negaTive 7 FacTor x2 2xy 15y2 8 How do you know when you have facTor39ed compleTely O FacTor compleTer 2x3 18x2 36 10 WhaT do we call a Tr inomial ThaT cannoT be facTor ed SecTion 63 RelaTions FuncTions and Gr c ohs Read secTion 63 pages 338 342 and answer39 The following quesTions as you read 1 Read The objecTives WhaT is differ enT fr om whaT you have already learned Skip The fir sT five examples since we will noT use This meThod To facTor Go r ighT To The middle of page 341 and sTar T aT 39FacTor ing by Grouping 2 Rewr iTe 2x2 x 15 wiTh four Ter ms so ThaT iT can be facTor39ed by grouping 3 To facTor 4x2 13x3 we musT find Two number39s ThaT mulTiply To and ThaT add To Use a Table To find The Two number39s Rewr iTe The Tr inomial wiTh four Ter ms so iT can be facTor39ed FacTor39 4gt FacTor39 2x2 x3 showing all The sTeps as in 3 5 How can you check your answer39 afTer39 you have facTor ed 0 LisT all The Types of facTor39ing you have learned so far in This chapTer Give an example for each Type SecTion 64 Slope and Graphs of Linear EquaTions Read secTion 64 pages 347 352 and answer The following quesTions as you read H N O 0 Tquot A 39gt Make a noTe card for The difference of Two squares On The card explain in words how you recognize an expression in This form Circle each of The following expressions ThaT are a difference of Two squares Then facTor Them If H is noT The difference of Two squares explain how you know a2 b2 4 x2 y2 9 x2 4y2 16 2x2 81 x 32 16 49 x52 9x2 1 Make a noTe card for perfecT square Trinomial On The card explain in words how you recognize an expression in This form Explain how The middle Term is relaTed To The firsT and Third Terms Which Terms musT always be posiTive Why Find Two values of b in 4x2 bx 49 such ThaT The expression is a perfecT square Trinomial U1 IdenTify each of The following expressions ThaT are a perfecT square Trinomial FacTor each perfecT square Trinomial OTherwise explain how you know iT is noT a perfecT square Trinomial a x2 4x 4 b 4x2 4x1 c x2 9 6 Make a noTe card for sum and difference of Two cubes On The card explain in words how you recognize expressions in These forms 0 For each of The following wriTe an example Then facTor iT if possible difference of Two squares 9 0 perfecT square Trinomial c sum of Two squares NOT FACTORABLE d sum of Two cubes e difference of Two cubes SecTion 65 EguaTions of Lines Read secTion 65 pages 356 362 and answer The following quesTions as you read 1 If we mulTiply Two numbers and The resulT is O whaT do we know abouT The numbers 2 a If x 3x 4 O whaT can you say b If x5 x O whaT can you say c If x 2x 6 8 whaT can you say A Which of The following are guadr aTic eguaTions If H is noT explain how you know a x2 5x 9 0 b 12 3x 8x2 0 cx 4Xx50 d x2 2x3 e x26x 74x fx70 4 WhaT is The general sTr aTegy for solving quadr aTic equaTions 5 WhaT is The general form of a quadr aTic equaTion 6 l X For each of The equaTions explain whaT you would you do firsT To solve H a 16x2 40x 25 b 4x2 49 C 2x2 32 0 d x 3x2 24 e x2x13x 4 0 f 2xx 41x 4 0 g x4 160 Solve each of The equaTions in 6 STudy example 7 To solve This similar problem The pr oducT of Two consecuTive posiTive inTeger s is 42 WhaT are The inTeger s Verba modeI Lobes Equa an Save if Wrfe your answer in a compe fe sen fence 9 STudy example 8 To solve This similar problem A ball is dropped from The Top of a building 64 feeT high The heighT in feeT of The ball is modeled by The equaTion height 16t2 64 where 7 is Time measured in seconds a WhaT is The heighT of The ball afTer39 1 second b How long will iT Take The ball To hiT The ground 10 STudy Example 9 To solve The problem A r ecTangular gr eaT r oom family and dining areas has an area of 480 feeT The widTh of The room is 4 feeT less Than The lengTh Find The dimensions of The room Verba M odeJ Lobes Equa an Save f1e equa on Wrfe your answer in a compe fe sen fence Review of ChapTer 6 Finish filling in The sTeps of The flow char T To help on 39 ions abouT how To facTor all polynomials in This chapTer N39hatdolalways need to do first How In any term 5 doe s it hav e 7 What four special cases have two terms one Three Four terms t S factorable erm ChapTer 10 STudy Guide MaTh 104 1 Make Time in your schedule To learn you cannoT Take shor TcuTs 2 Read each secTion in your Tebeook and answer39 The quesTions in The sTudy guide before you go To class 3 Take noTes in class Trying To under sTand as The Teacher pr esenTs examples and explains concest 4 Do your homework IT should be easier39 afTer39 The previous Two sTeps Make sure To under sTand whaT you are doing and be able To solve each problem compleTely and cor r echy by yourself 5 Carry on a conver saTion wiTh yourself as you work asking as you sTar T each problem WhaT is This WhaT is my goal WhaT should my answer39 look like when I am donequot Then as you work a problem ask WhaT pr oper Ty allows me To Take This sTepquot And aT The end Does my answer39 make sense How can I check Hquot 6 MainTain a gr eaT aTTiTude abouT lear ning Algebr a people who have a good aTTiTude find iT easier39 To learn and Those who learn algebr a well usually enjoy iT 7 Go To The lab or your insTr ucTor s office and geT help when you need iT SecTion 101 FacTor inq and ExTr acTinq Square RooTs Read secTion 101 pages 568 572 and answer39 The following quesTions as you read 1 You did This in chapTer 6 H is review here Solve by facTor ing x2 5x 14 Explain your work in words 2 Wr iTe The rule for exTr acTing squar e r ooTs 3 Use The rule you wr oTe in 2 To solve 2x 72 8 0 Explain your work in words 4 Solve by exTr acTing squar e r ooTs x 523 9 5 WhaT does your TexT call equaTions like x4 3x2 2 0 Solve The equaTion using The meThod of example 4 Explain your sTeps SecTion 102 CompleTinq The Square Read secTion 102 pages 576 579 and answer The following quesTions as you read 1 Circle The leTTer39s of each Tr inomial ThaT is a per fecT squar e Tr inomial Then wr iTe each per fecT squar e Tr inomial as a binomial squar ed a x2 6x36 b x2 6x9 c x2 6x 9 d x2 6x9 e x2 5x 4 f x2 14x 49 Explain whaT a per fecT squar e Tr inomial is N A Wr iTe The rule To compleTe The square 4 Add a Ter m To each of The following expressions To cr eaTe a per fecT squar e Tr inomial Then wr iTe The expression in compleTed squar e form a x2 12x b x2 7x U1 Solve The equaTion by compleTing The square x2 7x3 0 Explain your work in words SecTion 103 The QuadraTic Formula Read secTion 103 pages 583 587 and answer The following quesTions as you read 1 WriTe The quadraTic formula 2 WhaT is The quadraTic formula used for 3 Solve by using The quadraTic formula 3x2 5x 9 Explain your work in words 4gt WhaT is The discriminanT WhaT informaTion does iT give us abouT The soluTions of a quadraTic equaTion U1 Explain why The quadraTic equaTion musT have Two disTincT raTional soluTions if The discriminanT is a nonzero perfecT square 0 Explain why The quadraTic equaTion musT have Two imaginary soluTions if The discriminanT is a negaTive number 7 I calculaTed The discriminanT of a quadraTic equaTion To be 16 How many and whaT Types of soluTions does The quadraTic equaTion have 8 You have learned four ways To solve quadraTic equaTions facToring exTracTing square rooTs compleTing The square d quadraTic formula Which one cannoT always be used 000 How are b and c relaTed How are c and d relaTed SecTion 104 Graphs of QuadraTic FuncTions Read secTion 104 pages 592 598 and answer The following quesTions as you read 1 WhaT is The graph of a quadraTic funcTion called 2 WriTe The sTandard form of The quadraTic funcTion 3 WhaT does symmeTric mean 4 For each of The following quadr aTic funcTions give The poinT of The ver Tex of The graph and sTaTe wheTher The poinT is a minimum or maximum FuncTion Ver Tex Opens up or Minimum or down maximum fx 2x2 gx 3x 32 hx x 22 5 fx 2x12 1 01 There are Two ways To find The ver Tex of a parabola Find The ver Tex of fx x2 8x1 in each of The following ways and discuss which you Think is easier a CompIeTe The square b WiTh The formula Look aT example 2 6 For The funcTion hx x2 4x2 a Find The ver Tex b Find The xinTer cest if There are any c Find The yinTer cepT Graph 7 Wr iTe The equaTion of The parabola y ax h2 k ThaT has ver Tex 3 1 and passes Through The poinT 12 SecTion 105 prcaTions of Quadr39aTic EquaTions Read secTion 105 pages 603 608 Then Try To use Tables andor39 ver bal models To organize and solve The following applicaTions 1 A manager39 of a compuTer sTor e boughT sever al compuTer s of The same model for 27000 When all buT Three of The compuTer s had been sold aT a pr39ofiT of 750 per compuTer39 The original invesTmenT of 27000 had been r egained How many compuTer s were sold and whaT was The selling price of each use only one variable Number of Price of each compuTer s com puTer WhaT The sTor e paid WhaT The sTor e char ged Wr iTe a verbal model ThaT descr ibes The r elaTionship beTween The price The sTor e paid and The price The sTor e char ged Wr iTe a maThemaTical equaTion from The ver bal model above Then solve and check 2 Use The same process as above To solve The following A club charTers a bus To aTTend a conference aT a cosT of 480 In an aTTempT To lower The bus fare per person The club inviTes nonmembers To go along When Two nonmembers Join The Trip The fare per person is decreased by 1 How many people are going on The Trip SecTion 106 QuadraTic and RaTional InequaliTies Read secTion 106 pages 614 619 and answer The following quesTions as you read This is The lasT secTion of The quarTer CongraTulaTe yourself 1 When can The value of a polynomial change from posiTive To negaTive or from negaTive To posiTive 2 WhaT are The TesT inTervals of x3 Draw a real number line and describe The xvalues ThaT make x 3ltO x 3O and x3gtO 3 Solve The quadr aTic inequaIiTy x2 4x 3 Explain your work in words 4 The graph of The equaTion y x2 3x7 is a parabola opening up wiTh ver Tex aT Does The graph inTer secT The xaxis From The answer39 solve The inequaIiTies x2 3x7 Z 0 and x2 3x7 s 0 5 The graph of y x2 6x 9 is a par abola opening down whose ver Tex Touches The x axis in exacTIy one poinT 3 O From This infor maTion solve The inequaIiTy x2 6x 9 lt 0 6 WhaT Types of numbers make up The cr iTicaI numbers of a r aTionaI inegualiTx x x4 p 618 Explain in words 7 Solve The r aTionaI inequaIiTy gt 2 NoTe The STudy Tip in The margin of

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