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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.