test 3 review linear functions - belton independent … y-intercept 4. 6. write an equation for a...
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Name:______________________________________________Date:____________________Period:_____
ReviewforTest3:LinearFunctions1.Jennyisrentingamovingtruck.Shewillhavetopayaone-timefeeforinsurancecoverageandpaythedailyrateforthetruckeachdaysheusesit.Thetotalcostofrentingthetruckintermsofthenumberofdaysthemovewilltakecanbemodeledbytheequation𝑦 = 110𝑥 + 85. What’stheslope?_______ What’sthey-intercept?_______ MatchthepartsoftheequationincolumnAtotheircorrectrepresentationincolumnB.
ColumnA ColumnB Whatdoesxrepresent?_____ 1.theone-timefeeforinsurancecoverage
Whatdoesyrepresent?_____ 2.thecostperdayforrentingthetruck;thedailyrate
Whatdoesthesloperepresent?_____ 3.thenumberofdaysthemovetakes
Whatdoesthey-interceptrepresent?_____4.thetotalcost
2.Findtheslopeofthelinethroughthefollowingpoints.
a.) 2,−3 𝑎𝑛𝑑 5, 1 b.) 3,−2 𝑎𝑛𝑑 4,−2 m= m=
3.Whichofthefollowingequationsrepresentsalinearfunction?
A.𝑦 = 𝑥! B.𝑦 = −2𝑥! C.𝑦 = !! D.𝑦 = 𝑥
4.Usethelineinthegraphtotherighttoanswerquestions.________a.)Whatism?________b.)Whatisthex-intercept?________c.)Whatisthey-intercept?________________d.)Whatistheequationoftheline?
5.Writeanequationforalinewithslopeof− !!andy-intercept4.
6.Writeanequationforalinethatgoesthrough 0,−5 withaslopeof−3
SlopeFormula:𝑚 = !!!!!!!!!!
7.Thetablebelowshowsorderedpairsofalinearfunction.
Whatisthexintercept?________ Whatistheyintercept?________ WhatistheRateofChange?
Whatistheequationoftheline?8.Statetheslopeandinterceptofthefollowinglinesandwritetheequationforeach. a.) b.)9.Jerodisbuyingahousefor$65,000.Hismonthlypaymentswillbe$725permonth.WriteanequationJerodcouldusetocalculatehowmuchmoneyhestillowesforhishouseasafunctionofhowmanymonthshehasbeenpayingforthehouse.Thenstatewhattheslope,y-intercept,andx-interceptareandwhattheyrepresent,andstatewhatthedomainvalues(xvalues)representandwhattherangevalues(yvalues)represent.Equation: Slope: SlopeRepresents:Domain(x)represents: Range(y)represents:y-int: y-intrepresents: x-int: x-intrepresents:10.Whichofthefollowinggraphsshowthelinearequation−3𝑦 − 9𝑥 = 9?A. B. C. D.
X Y-1 61 23 -24 -4
Slope:Intercept:Equation:
Slope:Intercept:Equation:
11.Thisgraphshowstheamountofmoneyearnedover6months. Total Money Earned
0 1 2 3 4 5 6 Month 12.Findtheslopeandy-interceptofthefollowinglines. 13.Whatisthezeroofthefunctionbelow?
a.) 14.Whichofthefollowingtablescontainsvaluesforanequationthathasarateofchangeof−2?
A. B. C. D. 15.Kevinissavingmoney.Hestartswith$100andsaves$25eachmonth.Thegraphbelowshowstheamountofmoneyhehasbeenabletosaveasafunctionofthenumberofmonthshehasbeensaving.
Whatistheslope? Whatdoesthesloperepresent? Whatisthey-intercept? Whatdoesthey-interceptrepresent? Isthex-interceptusefulforthissituation?Whyorwhynot?
575
460
345
230
115
Whatdoestheslopeofthisgraphrepresent?A.numberofmonths
B.totalmoneyearned
C.monthspertotalmoneyearned
D.totalmoneyearnedpermonth
m=y-int=Equation:
x Y -2 1 0 3 2 5 4 7
x Y 1 0 2 4 3 6 4 8
x Y -2 -3 0 -4 2 -5 4 -6
x Y 1 -3 2 -5 3 -7 4 -9
16.Identifytheslopeandy-interceptof:𝑦 = −5𝑥 Slope_______ y-intercept_______17.Writetheequationinslopeinterceptform: 18.Writetheequationinslopeinterceptform:−4𝑥 + 2𝑦 = 8Thenidentifyslopeand 6𝑥 − 4𝑦 = −4Thenidentifyslopeand y-intercept. y-intercept. Slope_______ Slope_______ y-intercept_______ y-intercept_______19.Giventhegraphbelow,identifythefollowing: 20.Graphthelinethatpassesthroughthegivenlinearequation: points.Thenidentifytheslope,intercepts,and equationoftheline. 5,−1 and 5, 5
Slope_______ y-int:Equationoftheline:21.Graphthefollowingequationsandidentifytheslope,they-intifithasone,andthex-intifithasone:
a.𝑦 = −4 b.𝑥 = 3 Slope_______ Slope_______ y-intercept_______ y-intercept______ x-intercept_______ x-intercept______22.Whichofthefollowingisthegraphof:𝑦 = −2𝑥 + 4?
A. B. C. D.
m=y-int=x-int=Equation: