Unit 8 Packet Systems
Transcript of Unit 8 Packet Systems
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Name:_________________________
Period:______
Unit8:SystemsofEquationsListoftopicsforthisunit/Assignmenttracker
Date Topic Assignment&DueDate
8.1 SolveSystemsbyGraphing
8.2 SolveSystemsbySubstitution
8.3 SolveSystemsbyElimination
8.1–8.3Quiz
8.4 SolveSystemsofLinearInequalitiesbyGraphing
8.5 SolveNon-LinearSystemsbyGraphing
8.6 SolveNon-LinearSystemsAlgebraically
8.4–8.6Quiz
8.7 Review
Test
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8.1SolveLinearSystemsbyGraphing Date:
WARMUPGraphthelinearequation.𝑓 𝑥 = 2𝑥 − 1
SystemofEquations SolutionExample YourTurn
1. 2.
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SpecialCasesExamples
3. 4.
YourTurn
5. 6.
ClassifyingSystemsNumberofSolutions:Classification:
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8.1SolveLinearSystemsbyGraphing AssignmentSolveandclassify.
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8.2SolveSystemsbySubstitution Date:
WARMUPSolvebygraphing,thenclassify.
ExampleSolvebysubstitution.
1. 2. YourTurn
3. 4.
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Example
5. 6. YourTurn
7. 8.
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8.2SolveSystemsbySubstitution AssignmentSolveeachbysubstitution,thenclassify.
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8.3SolveSystemsbyElimination Date:
WARMUPSolvebysubstitution,thenclassify.
Examples
YourTurn
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Examples
YourTurn
Example YourTurn
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8.3SolveSystemsbyElimination AssignmentSolvebyelimination.Remember,therecanbeInconsistentandConsistentDependentSystems.
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8.4SolveSystemsofLinearInequalitiesbyGraphing Date:
WARMUPSolvebyelimination.
GraphingInequalities–Symbols ShadingExamples1. 2.
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YourTurn Example3. 4.
YourTurn Example5. 6.Whichquadrantcontainsthesolutionregion createdbythefollowingsystem?
'𝑦 ≥ −5𝑦 ≤ 3𝑥 + 5𝑦 ≤ −2𝑥 − 5
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8.4SolveSystemsofLinearInequalitiesbyGraphing Assignment
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8.5SolveNon-LinearSystemsbyGraphing Date:
WARMUPGraphtheparabola.𝑓 𝑥 = (𝑥 − 1)1 − 5
Example YourTurn
1.𝑦 = 3
𝑦 = (𝑥 − 2)1 − 1 2.𝑦 = −1
𝑦 = (𝑥 + 3)1 − 2
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Example YourTurn
3.𝑦 = −𝑥 + 1
𝑦 = −(𝑥 − 2)1 + 1 4.𝑦 = 𝑥 + 4
𝑦 = −(𝑥 + 2)1 + 4
Example YourTurn
5.𝑦 = − 1
3𝑥 − 3
𝑦 = 2 𝑥 + 4 − 3 6.
𝑦 = 45𝑥 − 1
𝑦 = − 41𝑥 + 2
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8.5SolveNon-LinearSystemsbyGraphing Assignment1.
𝑦 = 1𝑦 = (𝑥 − 2)1 − 3 2.
𝑦 = 6𝑦 = (𝑥 + 3)1 + 2
3.
𝑦 = 𝑥 − 1𝑦 = −(𝑥 − 2)1 + 3 4.
𝑦 = −𝑥 + 1𝑦 = −(𝑥 − 2)1 + 6
5.𝑦 = 1
7𝑥 − 5
𝑦 = 2 𝑥 − 3 − 1 6.
𝑦 = − 45𝑥 + 3
𝑦 = − 41𝑥 + 2 + 4
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8.6SolveNon-LinearSystemsAlgebraically Date:
WARMUPSolvethelinearsystem.
Example
1. 2. YourTurn
3. 4.
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Example6.
YourTurn7.
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8.6SolveNon-LinearSystemsAlgebraically AssignmentSolvethesystemsbysubstitution.
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8.7UnitReview Date:
WARMUPSolve:
Review:1.Solvebygraphing: 2.Solvebysubstitution:
3.Solvebysubstitution: 4.Solvebyelimination:
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5.Solvetheinequalitysystem:
6.Solvebygraphing: 7.Solvealgebraically:
𝑦 = 𝑥 − 1𝑦 = 2 𝑥 + 1 − 5
8.Solvealgebraically:
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8.7UnitReview AssignmentSolvebygraphing:
Solvebyeithersubstitutionorelimination:
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Solvebygraphing:
9.𝑦 = 𝑥 + 4
𝑦 = (𝑥 + 1)1 + 1 10.𝑦 = −4
𝑦 = − 31𝑥 − 2 − 1
11.
Solvealgebraically:
12. 13.