Mod5ReviewHonors
-20 20
20
Name________________________________________________ Period_________________
1. Whatstrategieshavewedevelopedtosolvesystemsofequations?
2. Whatstrategieshavewedevelopedtosolvesystemsofinequalities?
3. Whatdoesthesolutionsettoasystemofanequationslooklike?
4. Whatdoesthesolutionsettoasystemofinequalitieslooklike?
5. Howmanysolutionsaretheretoasystemofequations?Giveagraphicalexampleofeachpossibility.
6. Howmanysolutionsaretheretoasystemofinequalities?Giveagraphicalexample.
7. Solvethefollowingsystemofequationsusingsubstitutionandbygraphing:𝑦 = 16− 𝑥𝑥 − 𝑦 = 9
Showworkforsubstitutionbelow:
Mod5ReviewHonors
-10
-10
10
10
-10
-10
10
108. Solvethefollowingsystemofequationsusingeliminationandbygraphing:
3𝑥 + 5𝑦 = 7 2𝑥 − 3𝑦 = 11
Showworkforeliminationbelow
9. Solvethefollowingsystemofequationsusinganymethod
2𝑥 + 6𝑦 = 183𝑥 + 2𝑦 = 13
10. Solvethefollowingsystemofinequalities:
𝑦 < 3𝑥 − 1 𝑦 ≥ −2𝑥 + 4
Mod5ReviewHonors
Solveeachofthesystemsofequationsbelowusinganappropriatemethod(substitutionorelimination)
11. 𝑦 = −𝑥 + 2𝑦 = 3𝑥 − 6
12. 3𝑥 + 2𝑦 = −42𝑥 − 2𝑦 = −6
Solvethefollowingsystemsofinequalities.
13. 𝑦 ≤ !!𝑥 − 5
𝑦 > −2𝑥 + 1
14. 4𝑥 + 3𝑦 ≤ 246𝑥 − 9𝑦 ≤ 18
Circlethepointsthataresolutionstothesystemofinequalities.
15. 𝑥 + 𝑦 > 42𝑥 + 3𝑦 ≤ 12 16. 𝑦 ≤
!!𝑥 − 3
𝑦 ≤ 4𝑥 − 3
a.(0,4) a.(-2,2)b.(4,1) b.(2,1)c.(2,1) c.(0,-3)Circlethepointsthataresolutionstothesystemofequations.
17. 𝑦 =!!𝑥 − 3
𝑦 = 4𝑥 − 3 18.
𝑦 = 3𝑥 + 7𝑦 = −3𝑥 − 5
a.(0,3) a.(0,0)b.(10,2) b.(-2,1)c.Nosolution c.(-1,4)
Mod5ReviewHonors
19.Writethesystemofinequalitiesthatmatchesthefollowinggraph
20.Whengraphinganinequalitywhatdoesadottedlinemean?Solvethefollowingsystemsofequationsbyusingamethodotherthangraphing.Usewhatevermethodismostefficientforthegivensystem.Writeyouranswerasacoordinatepoint.
21. 𝑥 = 𝑦 − 1−3𝑥 + 2𝑦 = −1
22. −7𝑥 − 2𝑦 = −13𝑥 − 2𝑦 = 11
23.YouareshoppingatWalmartforpopsicles.Youwanttogetblue-raspberryandcherryflavors.Theblue-raspberryarebigger,sotheycost$1.50eachwhilethecherryareonly$1.Walmartishavingaspecialandyougetafreegiftifyouspendover$25.Youwanttofindallofthedifferentcombinationsofpopsiclesthatyoucouldbuyandgetafreegift.(a)Writeaninequalityforthesituationabove.(b)Findallofthesolutionstoyourinequality(c)Areallofthesolutionsthatyoufoundin(b)viable?