SECONDARY MATH I // MODULE 5

SYSTEMS – 5.6

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5.6

READY Topic:Usingsubstitutiontofindamissingvalue.Substitutethegivenvalueofxintotheequationtofindthevalueofy.

1.5! − 9! = 73; ! = 2

2.−4! + 9! = 16; ! = 5

3.3! − 8! = 1; ! = −5

4.−14! + 5! = 51; ! = 1

5.9! − 7! = 21; ! = 0

6.12! − 15! = −42; ! = !

!

Usethegivenvaluetofindthevalueoftheothervariablethatisnotprovided.

7.5! + 2! = −37! = −1

8.13! − 7! = 10 ! = −3

9.2! + 3! = −22 ! = −9

SET Topic:Examiningtheimpactofthedirectionoftheinequalitysymbol

10.Graph! > !

! ! − 2and! <!! ! + 3on

thegridattheright.

11.Whatistherelationshipbetweenthetwolinesinyourgraph?

12.Name3pointsthatsatisfybothinequalities.

13.Now,graph! < !! ! − 2and! >

!! ! + 3

onthenextgridattheright.

14.Canyouname3pointsthatsatisfybothinequalitiesforthissystem?

15.Comparethegraphforproblem10withthegraphforproblem13.Howaretheythesame?Howaretheydifferent?

READY, SET, GO! Name PeriodDate

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SECONDARY MATH I // MODULE 5

SYSTEMS – 5.6

Mathematics Vision Project

Licensed under the Creative Commons Attribution CC BY 4.0

mathematicsvisionproject.org

5.6

GO Topic:Graphinglinearinequalities

Grapheachinequality.16.! ≤ 3! − 4

17. ! ≤ −2! + 3

18. ! > 4! − 3

19.3! + 4! < 12

20. 6! + 8! ≤ 24

21. 5! + 3! ≤ 15

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