Mod5ReviewHonors

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1. Whatstrategieshavewedevelopedtosolvesystemsofequations?

2. Whatstrategieshavewedevelopedtosolvesystemsofinequalities?

3. Whatdoesthesolutionsettoasystemofanequationslooklike?

4. Whatdoesthesolutionsettoasystemofinequalitieslooklike?

5. Howmanysolutionsaretheretoasystemofequations?Giveagraphicalexampleofeachpossibility.

6. Howmanysolutionsaretheretoasystemofinequalities?Giveagraphicalexample.

7. Solvethefollowingsystemofequationsusingsubstitutionandbygraphing:𝑦 = 16− 𝑥𝑥 − 𝑦 = 9

Showworkforsubstitutionbelow:

Mod5ReviewHonors

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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?