19-21 Absolute Value Inequalities Real World …21 Absolute Value Inequalities Real World Problems.notebook April 14, 2014 3. Keith has $500 in a savings account at the beginning of

1921AbsoluteValueInequalitiesRealWorldProblems.notebook April14,2014

LT3:Icanrepresentrealworldsituationswithequations,inequalities,andabsolutevalue.1) 2)

p.19

3) 4)

5) 6)

7) 8)

9) 10)


p.20PCWForascholarshipcompetition,Evahadtowriteanessay. FortheessayEvahadtowritemorethan250words,butit couldn'texceed500words.Writeaninequalitythat demonstratesEva'ssituation,thengraphit.

Marshasamaximumtemperatureof7attheequatorandaminimumtemperatureof133 atthewinterpole.WriteaninequalitythatdescribesthepossibletemperaturesonMars,thengraphit.

Atacarnival,thecosttoplayabowlinggameis$2p lus$0.25foreachattempttoknockoverthepins.Whichinequalitywouldyouusetofindthenumber ofattempts, a,youcanmakeifyouhave$10?

A.0.25a+210B.0.25a+210C.0.25a+210

Tomearns$50tostartapaintingjoband$20perhourtocompleteit.Alljobsheacceptsearnhimat least$300.If hrepresentsthenumberofhours spentpainting,whichinequalitydescribesTom'ssituation?

A.50+20h>300B.50+20h300C.50+20h


p.21AttheTXDesignCompany,theaveragestartingsalaryforanewdesigneris$33,600,buttheactualsalarycoulddifferfromtheaveragebyasmuchas$1,560.Whichinequalitycouldbeusedtodetermineifasalary,x,fallswithinthisrange?

A.4.01x0.0002

CalebisamachinistatGoldenEagleChopperShop.Toensurethereliabilityofthemotorcycleenginesproducedattheshop,Calebmachineseachcylindertoa4.01"diameterwithatoleranceof0.0002".Whichinequalitycouldbeusedtodetermineifacylinder'sdiameter,x,isacceptable?

A.|x1,560|33,600

B.x33,6001,560

C.|x33,600|1,560

D.|x33,600|1,560

Anessaycontestrequiresthatessayentriesconsistof500wordswithanabsolutedeviationofatmost30words.Writeanabsolutevalueinequalitytorepresentthis.

Acandymanufactureputs240piecesofcandyintoeachbag.Thebagcanbeoffby8pieces.Writeanabsolutevalueinequalitythatdisplaystheacceptableamountofcandypiecesthatcanbeinabag.

Whichinequalityisrepresentedbythisgraph?

Whichinequalityhasthesolutionrepresentedbythisgraph?

7. 8.

9. 10.

11. 12.


IF

|2x|+5=3 |3x|+434

Solve. Solveandgraph.

Box8 Checking: p.1718


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math math

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1112 1112yes yesit it

1315 1415really really1618 1718truly truly1921 2021

Test is next Toosday


LT3:Icanrepresentrealworldsituationswithequations,inequalities,andabsolutevalue.1) 2)

p.19

3) 4)

5) 6)

7) 8)

9) 10)


Writeaninequalitythatdescribesthegraphbelow.

1.

A. B.


2. Writeandgraphaninequalitythatdescribesthesituation.

Threeormorepeoplemakeacarpool.

Nooneunderage17willbeadmittedwithoutaparentorguardian.

A. B.


3. Keithhas$500inasavingsaccountatthebeginningofthesummer.Hewantstohaveatleast$200intheaccountbytheendofthesummer.Hewithdraws$25eachweekforfood,clothes,andmovietickets.

WriteaninequalitythatrepresentsKeith'ssituation.

A)

B)HowmanyweekscanKeithwithdrawmoneyfromhisaccount?


4. YellowCabTaxichargesa$1.75flatrateinadditionto$0.65permile.Katiehasnomorethan$10tospendonaride.

WriteaninequalitythatrepresentsKatie'ssituation.A)

B)HowmanymilescanKatietravelwithoutexceedingherlimit?


5.Ezrareceived$50fromhisgrandparentsforhisbirthday.Hemakes$7.50eachweekforoddjobshedoesaroundtheneighborhood.Sincehisbirthday,hehassavedmorethanenoughtobuythe$120gifthewantstobuyforhisparents'20thweddinganniversary.WriteaninequalitythatrepresentsEzra'ssituation.A)

B)HowmanyweeksagowasEzra'sbirthday?


6.Theboysandgirlssoccerclubsaretryingtoraisemoneyfornewuniforms.Theboys'soccerclubissellingcandybarsfor$2apieceandthegirls'soccerclubissellingcandlesfor$4.Theymustraiseatleast$800.

Writeaninequalitythatrepresentstheincomefromthetwofundraisers.

A)

B)Ifthegirlssold100candles,howmanycandybarsmustbetheboyssell?


7.


8.


Youarepreheatinganovento350.Thethermometerreads346.Themeasuredtemperaturehasanabsolutedeviationofatmost2.Writeandsolveaninequalitytodecideiftheovenispreheatedyet.

9.


Agolfballmanufactureputs390golfballsineachbox.Theboxcanbeoffby6golfballs.Writeandsolveanabsolutevalueinequalitythatdisplaystheacceptableamountofgolfballsthat canbeinabox.

|variableperfect|alloweddeviation> 1

6 7 8 9 10 11 12 13 14

3)

1 +

4

x

31

6 7 8 9 10 11

4)

3 +

2

b

< 13

3 4 5 6 7 8 9 10 11

5)

m

6 5 6

8 7 6 5 4 3 2

6)

5 +

n

2 > 8

4 5 6 7 8

7)

3

n

3 > 12

3 4 5 6 7 8 9 10

8)

2(

x

+ 3) > 16

3 4 5 6 7 8

9) 40 <

5 +

5

x

12 11 10 9 8 7 6 5

10) 6 >

m

2 4

7 6 5 4 3 2 1

11)

9(

x

+ 7) 198

10 11 12 13 14 15 16 17 18 19

12)

p

2 + 7 10

2 3 4 5 6 7 8 9

-1-

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13) 36

6(

4 +

a

)

5 6 7 8 9 10 11 12 13 14

14) 52 <

8

5

k

9 10 11 12 13 14 15 16 17

15)

x

+ 6

4 2

3 2 1 0 1 2 3 4 5 6

16)

5(

a

+ 2) > 5

5 4 3 2 1

17)

7 +

v

3 10

5 6 7 8 9 10 11 12 13

18) 18 >

2(

v

+ 10)

5 4 3 2 1 0 1

19)

3 +

m

6 < 1

6 7 8 9 10 11 12 13 14

20)

9 +

b

3 < 8

12 13 14 15 16 17

21)

7

n

+ 6 85

17 16 15 14 13 12 11

22) 143

11

b

+ 11

8 9 10 11 12 13 14 15 16

23) 9

8 +

v

6

4 5 6 7 8 9 10

24)

8

7

n

> 20

1 0 1 2 3 4 5 6 7

-2-

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Kuta Software - Infinite Algebra 1 Name___________________________________

Period____Date________________Two-Step Inequalities

Solve each inequality and graph its solution.

1)

4

5

v

< 29

1 2 3 4 5 6 7 8 9 10

2)

2 +

r

9 > 1

6 7 8 9 10 11 12 13 14

3)

1 +

4

x

31

6 7 8 9 10 11

4)

3 +

2

b

< 13

3 4 5 6 7 8 9 10 11

5)

m

6 5 6

8 7 6 5 4 3 2

6)

5 +

n

2 > 8

4 5 6 7 8

7)

3

n

3 > 12

3 4 5 6 7 8 9 10

8)

2(

x

+ 3) > 16

3 4 5 6 7 8

9) 40 <

5 +

5

x

12 11 10 9 8 7 6 5

10) 6 >

m

2 4

7 6 5 4 3 2 1

11)

9(

x

+ 7) 198

10 11 12 13 14 15 16 17 18 19

12)

p

2 + 7 10

2 3 4 5 6 7 8 9

-1-

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13) 36

6(

4 +

a

)

5 6 7 8 9 10 11 12 13 14

14) 52 <

8

5

k

9 10 11 12 13 14 15 16 17

15)

x

+ 6

4 2

3 2 1 0 1 2 3 4 5 6

16)

5(

a

+ 2) > 5

5 4 3 2 1

17)

7 +

v

3 10

5 6 7 8 9 10 11 12 13

18) 18 >

2(

v

+ 10)

5 4 3 2 1 0 1

19)

3 +

m

6 < 1

6 7 8 9 10 11 12 13 14

20)

9 +

b

3 < 8

12 13 14 15 16 17

21)

7

n

+ 6 85

17 16 15 14 13 12 11

22) 143

11

b

+ 11

8 9 10 11 12 13 14 15 16

23) 9

8 +

v

6

4 5 6 7 8 9 10

24)

8

7

n

> 20

1 0 1 2 3 4 5 6 7

-2-

Create your own worksheets like this one with Infinite Algebra 1. Free trial available at KutaSoftware.com

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19-21 Absolute Value Inequalities Real World …21 Absolute Value Inequalities Real World Problems.notebook April 14, 2014 3. Keith has $500 in a savings account at the beginning of