Algebra1PAP Name______________Period____

Unit4NotesandAssignmentsNotesandAssignmentPacket:Youwillbegivenapacketatthebeginningofeachunit.YouwillonlyreceiveONEcopyofthisandyouareresponsibletokeeptrackofit.Ifyoumisplaceit,youmustprintyourownfromGoogleClassroom.UnitAgenda:Youwillalsoreceiveacoloredunitagendaforeachpacket.Thisfirstdayoftheunit,youshouldlookovertheobjectivesandcreateagoalforyourselfthatyouwishtoaccomplish.Aseachobjectiveistaught,youshouldrateyourselfandidentifyagrowthopportunity.Thiscanbedoneinclassorathome.Afterwedotestcorrections,youaretocompletetheunitreflection.Homework/Assignments:Youmuststayontopofyourassignments.Thesewillbechecked(canhappenunannounced)thedayaftertheyareassigned,thedayofthequiz,orthedayofthetest.Youshouldbepreparedeitherway!Itisyourresponsibilitytogiveyourselfandaccuracygradeforeachassignment.Ontestday,youwillbeexpectedtoturninacompletedagenda,packet,andtestreview.AbsentWork:Ifyouareabsent,itisyourresponsibilitytowatchthevideoandcompletethemissingnotes.STAARPractice:Attheendofeachunitpacket,thereisaSTAARpractice.Thesequestionsmustbecompletedbythatunit’sreviewday.

Unit4Outline:SystemsofEquations/Inequalities4-1Notes:GraphingSystemsofLinearEquations4-1WS:GraphingSystemsofLinearEquations4-2Notes:GraphingSystemsofLinearInequalities4-2WS:GraphingSystemsofLinearInequalities4-3Notes:SolvingSystemsbySubstitution4-3WS:SolvingSystemsbySubstitution4-4Notes:SolvingSystemsbyElimination4-4WS:SolvingSystemsbyElimination4-5Notes:AllMethodsWarmUP4-5WS:AllMethodsAllMethodsQuiz4-6Notes:Applications4-6WS:ApplicationsUnit4ReviewUnit4Test

Video&Notes:&(on&google&classroom)& ! ! ! ! Name_____________________________________!https://www.youtube.com/watch?v=xx4r5Kxr2_I!!

1)!! = 2!! ! ! = −!! + 3! ! 2)!! = −!!! ! = !! ! + 5! 3)!! = 4! + 2! ! = −! − 3!

! ! ! ! ! ! ! ! ! ! ! ! ! !

! ! ! ! ! !! Check:! ! ! ! ! ! Check:! ! ! ! ! ! Check:!!!

!3!possible!Solutions:!!

One!Solution! No!Solution! Infinitely!Many!Solutions!! ! !

4-1 Notes

Solving!Systems!by!Graphing!Day!1! ! ! ! ! ! Name:_____________________________________!! !1) ! = −! + 3!!! = ! + 1!

!!

2) ! = 2! + 4!!! = 2! − 3!

!!!!

!3) ! = 2! + 2!!! = 4! + 6!

!!4) ! = ! − 4!

!! ! = −! + 2!

!!!!

!5) ! = −3! + 5!!! = 5!

!!6) ! = − !

! ! + 3!!! = 3 − !

! !!

4-1 Notes

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Kuta Software - Infinite Algebra 1 Name___________________________________

Period____Date________________Solving Systems of Equations by GraphingSolve each system by graphing.

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4-2Notes GraphingSystemsofInequalities

1. Graphthesystem 2.Graphthesystem! ≥ 2$ + 6 ! < − )

* $ − 1 ! < −$ + 10 ! < ))- $ + 7

3.Graphthesystem 4.Graphthesystem

! > $ − 8 2$ + 4! < 16 ! ≤ $ + 3 ! < −3

5.Graphthesystem$ ≥ −6 ! < 3

https://youtu.be/zqsx_E2t-IM

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Kuta Software - Infinite Algebra 1 Name___________________________________

Period____Date________________Solving Systems of InequalitiesSketch the solution to each system of inequalities.

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4-3Notes SolvebySubstitution

1. SolveusingSubstitution:x=3y=2x–1

2. SolveusingSubstitution:y=x+2

3x–5y=10

3. SolveusingSubstitution:y=2x–5

2x–4y=14

https://youtu.be/f2lBzJBz1rI

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Kuta Software - Infinite Algebra 1 Name___________________________________

Period____Date________________Solving Systems of Equations by Substitution

Solve each system by substitution.

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x − 3

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x − 17

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x − 3

y = 18

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y = −12

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y = 21

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−7

x − 2

y = −13

x − 2

y = 11

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−3

x + 6

y = −12

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y = 24

-1-

4-3WS

4-4Notes SolvebyElimination

1. SolveusingElimination:x+5y=9

4x–5y=-14

2. SolveusingElimination:3x–4y=2

3x+2y=26

3. SolveusingElimination:3x–3y=218x+6y=-14

https://youtu.be/yjpIRFIyTxw

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Kuta Software - Infinite Algebra 1 Name___________________________________

Period____Date________________Solving Systems of Equations by Elimination

Solve each system by elimination.

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y = −12

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x + 8

y = −24

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x + 8

y = 20

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x + 2

y = −30

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y = 11

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y = 19

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−6

x + 5

y = 1

6

x + 4

y = −10

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−2

x − 9

y = −25

−4

x − 9

y = −23

6)

8

x +

y = −16

−3

x +

y = −5

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−6

x + 6

y = 6

−6

x + 3

y = −12

8)

7

x + 2

y = 24

8

x + 2

y = 30

9)

5

x +

y = 9

10

x − 7

y = −18

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−4

x + 9

y = 9

x − 3

y = −6

11)

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x + 7

y = −16

−9

x + 5

y = 16

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x +

y = −19

−2

x + 3

y = −19

-1-

4-4 WS

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Solve!by!Graphing.!x + y = 8x − 5y = −10

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Solve!by!Substitution.!x + y = 8x − 5y = −10

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Solve!by!Elimination.!x + y = 8x − 5y = −10

!Check!your!solution.!x + y = 8x − 5y = −10

!

4-5 Notes

AllMethodsWS Name________________________

Solveeachsystembysubstitution.5)y=4x–9 6)4x+2y=10y=x–3 x–y=13

4-5 WS

AllMethodsWS Name________________________

Solveeachsystembysubstitution.7)y=–5 8)x+7y=05x+4y=–20 2x–8y=22Solveeachsystembyelimination.9)8x–6y=–20 10)6x–12y=24–16x+7y=30 –x–6y=411)–8x–12y=24 12)–11x–4y=36 7x+10y=–18 –10x–10y=20

1

4-5 WS

WarmUp:Writethesystemofequationsthatcorrespondstothefollowinggraphs.Statethesolution.

1. 2.

System:_____________________ System:_____________________

_____________________ _____________________

Solution:_____________________ Solution:_____________________

3. 4.Whatisthesolutiontothefollowing system?

System:_____________________

_____________________

Solution:_____________________ Solution:_____________________

4-6 Notes https://youtu.be/9XRNavNHrv8

Unit 6 Name:____________________________ Notes: Solving word problems using systems of equations. Identify your variables, set up a system of equations, and solve for your variables. 1. Jessica bought tickets to a movie. Children's tickets cost $5 each and adult tickets cost $8 each. The cost for 16 tickets was $101. How many of each kind did she buy? 2. For a school play, 340 tickets valued at $810 were sold. Some cost $2 and some cost $3. How many tickets of each kind were sold? 3. The perimeter of a rectangle is 82 yards. The width is 15 yards less than the length. Find the length and-the width of the rectangle. 4. On vacation, Ashley and Tracie took turns driving. The distance that Tracie drove was 115 more than the distance Ashley drove. Together they drove 235 miles. How far did each drive? 5. Beth has $3 more than twice as much as Mark. Together they have $57. How much does each person have?

4-6 Notes https://youtu.be/9XRNavNHrv8

6. Chad and Andy went shopping in the same store. Chad bought 4 shirts and 2 ties and spent $104. Andy bought 3 of the same shirts and 3 of the same ties and spent $96. What was the cost of one shirt? 7. John has 18 coins in quarters and nickels. The total value of the coins is $2.90. How many of each kind of coin does he have? 8. Robert has some nickels and dimes worth $1.85. He has 11 more dimes than nickels. How many of each does he have? 9. Kim and Jennifer bowled together and had a combined score of 382. Kim's score was 12 more than Jennifer's. Find their individual scores. 10. There are 1728 freshmen and sophomores in a school. There are three times as many freshmen as sophomores. How many of each type are there?

4-6 Noteshttps://youtu.be/9XRNavNHrv8

Unit 4 Name: ____________________________ Worksheet: Solving word problems using systems of equations. Identify your variables, set up a system of equations, and solve for your variables. 1. Bill and Ann have 35 baseball cards between them. Bill has 4 times as many cards as Ann. How many cards does each have? 2. Joe and Matt are collecting stamps. Matt has 5 more stamps than Joe. Together they have 441 stamps. Find the number of stamps each boy has. 3. A television station received 18,717 calls from its viewers in response to a new T.V. show. There were 893 fewer calls disliking the show as those liking the show. How many calls came in for each side? 4. Susie has an order at McDonald's for 51 Big Mac's and Quarter Pounder's There are twice as many Quarter Pounder's as Big Mac's. How many of each is she ordering? 5. The length of a rectangle is 5 more than twice the width. The perimeter is 130 cm. Find the length and the width.

4-6 WS

6. There are 812 students in a school. There are 36 more girls than boys. How many girls are there? 7. Brandy and Mark are selling magazines. Brandy has sold half as many as Mark. Together they have sold 474 magazines. How many has each sold?

8. Sam has 30 nickels and dimes worth $2.40. How many nickels does he have?

9. Rob has 40 coins, all dimes and quarters, worth $7.60. How many dimes and how many quarters does he have? 10. Ben has $3.40 in nickels and dimes. He has 4 more dimes than nickels. How many of each coin does he have?

4-6 WS

UNIT 4: Review Name:_________________________ Solve each system of equations by graphing. This must be done by hand. Show work. (1) y = -x + 2

y = 2x + 5

(2) x + y=14

x - y =7

Solve each system of inequalities by graphing.

(3) y > -2x – 3 y < 2x -1 (4) 2x - y ≤ 4 y ≤ 1

Tell whether the ordered pair is a solution to the system of equations. Write YES or NO. (5) (2, 5) ________ (6) ( -1, 8) ________ (7) (6, -4) ________ y = 3x – 1 2x + 5y = 38 5y = 2x – 32 6x – 2y = 2 x = -1 y = 3x + 11 State whether each point belongs to the graph of the solution set of the system: y - 2x < 1 y ≤ -x + 3

(8) (3, 2) _________________ (9) (0, 3) _________________ (10) (-2,-5) _________________ (11) (0, 1) __________________ Solve each system of equations by substitution. (12) a = 3b a - 5b = 16 (13) y - x = 4 y = 3x + 2 (14) 8c - d = -3 4c + 5d =15

Unit 4 Review

Solve each system of equations by elimination. (15) x + y = 7 x – y = 3 (16) 2x + y = 8 3x - 2y = 5 (17) 5z-4p = 5 2z + 3p = 25 Identify the unknowns. Set up a system of equations. Solve for each variable. (18) Chrissie has 5 more dimes than nickels. In all she has $2.30. How any nickels does she have? (19) On vacation, Ashley and Gina took turns driving. The distance that Gina drove was 115 more than the distance Ashley drove. Together they drove 235 miles. How far did each drive? 20) The perimeter of a rectangle is 82 yards. The width is 15 yards less than the length. Find the length and the width of the rectangle.

Unit 4 Review

Unit 4 STAAR Review

Unit 4 STAAR Review

Unit 4 STAAR Review

Unit 4 STAAR Review