Unit 6: Analyze and Solve Systems of Linear Equations Summative

Kai and Nora are trying to solve a system of two linear equations but they find that there are no solutions. What can they conclude about the graphs of the two equations they are trying to solve? (8.EEI.C.8c)

• A. The lines representing the equations have the same slope and the same y-intercept.

• B. The lines representing the equations have the same slope and different y-intercepts.

• C. The lines representing the equations have different slopes and the same y-intercept.

• D. The lines representing the equations have different slopes and different y-intercepts.

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8.EEI.C.8.c

The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 1 van and 6 buses with 372 students. High School B rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same number of students.

Write the equations needed to solve the problem: (8.EEI.C.8d)

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8.EEI.C.8d

8.EEI.C.8.d

The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 1 van and 6 buses with 372 students. High School B rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same number of students. How many students can a van carry? (8.EEI.C.8d)

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8.EEI.C.8.d

The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A rented and filled 1 van and 6 buses with 372 students. High School B rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same number of students. How many students can a bus carry? (8.EEI.C.8d)

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8.EEI.C.8.d

• A. There are no solutions because the slopes and y-intercepts are the same.

• B. There are infinitely many solutions because the slopes and y-intercepts are the same.

• C. There are no solutions because the slopes are the same and the y-intercepts are different.

• D. There are infinitely many solutions because the slopes are the same and the y-intercepts are different.

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8.EEI.C.8c

Select all the systems of equations that have exactly one solution. (8.EEI.C.8d)

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8.EEI.C.8d

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8.EEI.C.8b

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8.EEI.C.8b

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8.EEI.C.8b

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8.EEI.C.8b