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Unit 6: Analyze and Solve Systems of Linear Equations Summative

Authored by April Boyles

Mathematics

8th Grade

8 covered

Used 2+ times

Unit 6: Analyze and Solve Systems of Linear Equations Summative
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11 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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.

Tags

8.EEI.C.8.c

2.

FILL IN THE BLANKS QUESTION

15 mins • 2 pts

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)

(a)  

Tags

8.EEI.C.8.d

8.EEI.C.8d

3.

FILL IN THE BLANKS QUESTION

1 min • 1 pt

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)

(a)  

Tags

8.EEI.C.8.d

4.

FILL IN THE BLANKS QUESTION

15 mins • 1 pt

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)

(a)  

Tags

8.EEI.C.8.d

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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.

Tags

8.EEI.C.8c

6.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

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

Tags

8.EEI.C.8d

7.

OPEN ENDED QUESTION

15 mins • 2 pts

Evaluate responses using AI:

OFF

Tags

8.EEI.C.8b

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