Analyze Systems of Equations
Authored by Anthony Clark
Mathematics
8th Grade
CCSS covered
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20 questions
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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
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
3.
OPEN ENDED QUESTION
1 min • 2 pts
Evaluate responses using AI:
OFF
Tags
8.EEI.C.8b
4.
OPEN ENDED QUESTION
1 min • 2 pts
Evaluate responses using AI:
OFF
Tags
8.EEI.C.8b
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which statement is true about the system?
The two equations in the system are the same line with the same slope, and therefore the system has no solutions.
The two equations in the system are the same line with the same slope, and therefore the system has an infinite number of solutions.
The two equations in the system are different lines with same slopes, and therefore the system has one solution.
The two equations in the system are different lines with same slopes, and therefore the system has no solutions.
Tags
CCSS.8.EE.C.8B
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
How many solutions will this system have?
No solution
One Solution
I Don't Know
Infinitely Many Solutions
Tags
CCSS.8.EE.C.8A
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which is a true statement about the system of equations graphed below?
The system of equations does not have a solution because
the lines do not intersect.
The system of equations has one solution, although it is not
visible on the graph.
The system of equations has an infinite number of solutions.
None of the statements above are true.
Tags
CCSS.8.EE.C.8B
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