Name:______________________________________________Date:____________________Period:_____
! !!
SlopeFormula:𝑚 = ! ! !! !!!
ReviewforTest3:LinearFunctions
1.Jennyisrentingamovingtruck.Shewillhavetopayaone-timefeeforinsurancecoverageandpaythedaily
rateforthetruckeachdaysheusesit.Thetotalcostofrentingthetruckintermsofthenumberofdaysthe
movewilltakecanbemodeledbytheequation𝑦 = 110𝑥 + 85.
What’stheslope?_______ What’sthey-intercept?_______
MatchthepartsoftheequationincolumnAtotheircorrectrepresentationincolumnB.
ColumnA
Whatdoesxrepresent?_____
ColumnB
1.theone-timefeeforinsurancecoverage
Whatdoesyrepresent?_____
2.thecostperdayforrentingthetruck;thedailyrate
Whatdoesthesloperepresent?_____
Whatdoesthey-interceptrepresent?_____4.thetotalcost
3.thenumberofdaysthemovetakes
2.Findtheslopeofthelinethroughthefollowingpoints.
a.) 2, −3 𝑎𝑛𝑑 5, 1 b.) 3, −2 𝑎𝑛𝑑 4, −2 m=
m=
D.𝑦 = 𝑥
3.Whichofthefollowingequationsrepresentsalinearfunction?
A.𝑦 = 𝑥 ! !
C.𝑦 = B.𝑦 = −2𝑥 ! !
4.Usethelineinthegraphtotherighttoanswerquestions.
________a.)Whatism?
________b.)Whatisthex-intercept?
________c.)Whatisthey-intercept?
________________d.)Whatistheequationoftheline?
!
5.Writeanequationforalinewithslopeof− andy-intercept4.
!
6.Writeanequationforalinethatgoesthrough 0, −5 withaslopeof−3
7.Thetablebelowshowsorderedpairsofalinearfunction.
X
Y
Whatisthexintercept?________ -1
6
1
2
Whatistheyintercept?________
3
-2
4
-4
WhatistheRateofChange?
Whatistheequationoftheline?
8.Statetheslopeandinterceptofthefollowinglinesandwritetheequationforeach.
Slope:
Slope:
a.)
b.)
Intercept:
Intercept:
Equation:
Equation:
9.Jerodisbuyingahousefor$65,000.Hismonthlypaymentswillbe$725permonth.Writeanequation
Jerodcouldusetocalculatehowmuchmoneyhestillowesforhishouseasafunctionofhowmanymonths
hehasbeenpayingforthehouse.Thenstatewhattheslope,y-intercept,andx-interceptareandwhatthey
represent,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.
11.Thisgraphshowstheamountofmoneyearnedover6months.
460
Whatdoestheslopeofthisgraphrepresent?
A.numberofmonths
345
B.totalmoneyearned
230
C.monthspertotalmoneyearned
575
Total Money
Earned
115
D.totalmoneyearnedpermonth
0
1
2
3
4
Month
5
6
12.Findtheslopeandy-interceptofthefollowinglines. 13.Whatisthezeroofthefunctionbelow?
a.) m=
y-int=
Equation:
14.Whichofthefollowingtablescontainsvaluesforanequationthat
hasarateofchangeof−2?
A.
x
-2
0
2
4
Y
1
3
5
7
B.
x
1
2
3
4
Y
0
4
6
8
C.
x
-2
0
2
4
Y
-3
-4
-5
-6
D.
x
1
2
3
4
Y
-3
-5
-7
-9
15.Kevinissavingmoney.Hestartswith$100andsaves$25eachmonth.Thegraphbelowshowsthe
amountofmoneyhehasbeenabletosaveasafunctionofthenumberofmonthshehasbeensaving.
Whatistheslope?
Whatdoesthesloperepresent?
Whatisthey-intercept?
Whatdoesthey-interceptrepresent?
Isthex-interceptusefulforthissituation?Whyorwhynot?
16.Identifytheslopeandy-interceptof:𝑦 = −5𝑥 17.Writetheequationinslopeinterceptform:
−4𝑥 + 2𝑦 = 8Thenidentifyslopeand y-intercept.
Slope_______
y-intercept_______
19.Giventhegraphbelow,identifythefollowing:
linearequation:
Slope_______
y-intercept_______
18.Writetheequationinslopeinterceptform:
6𝑥 − 4𝑦 = −4Thenidentifyslopeand
y-intercept.
Slope_______
y-intercept_______
20.Graphthelinethatpassesthroughthegiven
points.Thenidentifytheslope,intercepts,and
equationoftheline. 5, −1 and 5, 5 m=
y-int=
x-int=
Equation:
Slope_______ y-int:
Equationoftheline:
21.Graphthefollowingequationsandidentifytheslope,they-intifithasone,andthex-intifithasone:
a.𝑦 = −4 Slope_______
y-intercept_______ x-intercept_______ 22.Whichofthefollowingisthegraphof:𝑦 = −2𝑥 + 4?
b.𝑥 = 3
Slope_______
y-intercept______
x-intercept______
D.
A.
B.
C.