Modeling With Systems of Equations
Quiz
•
Mathematics
•
6th Grade
•
Practice Problem
•
Hard
+7
Standards-aligned
Anthony Clark
FREE Resource
19 questions
Show all answers
1.
FILL IN THE BLANK QUESTION
1 min • 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)
Tags
8.EEI.C.8d
8.EEI.C.8.d
2.
MULTIPLE CHOICE QUESTION
1 min • 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)
The lines representing the equations have the same slope and the same y-intercept.
The lines representing the equations have the same slope and different y-intercepts.
The lines representing the equations have different slopes and the same y-intercept.
The lines representing the equations have different slopes and different y-intercepts.
Tags
8.EEI.C.8.c
3.
FILL IN THE BLANK 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)
Tags
8.EEI.C.8.d
4.
FILL IN THE BLANK 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 bus carry? (8.EEI.C.8d)
Tags
8.EEI.C.8.d
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Anika, Aiden, and Elijah are trying to determine the number of solutions for a system of equations they encountered while studying. The equations are as follows: y=\frac{2}{3}x-6 y=\frac{2}{3}x+3 How many solutions does this system have, and why?
There are no solutions because the slopes and y-intercepts are the same.
There are infinitely many solutions because the slopes and y-intercepts are the same.
There are no solutions because the slopes are the same and the y-intercepts are different.
There are infinitely many solutions because the slopes are the same and the y-intercepts are different.
Tags
8.EEI.C.8c
6.
OPEN ENDED QUESTION
1 min • 2 pts
Evaluate responses using AI:
OFF
Tags
8.EEI.C.8b
7.
OPEN ENDED QUESTION
1 min • 2 pts
Evaluate responses using AI:
OFF
Tags
8.EEI.C.8b
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