Elimination Method for 3x3 Systems and Geometrical View
Interactive Video
•
Mathematics
•
11th Grade
•
Practice Problem
•
Easy
Deji Odunlami
Used 1+ times
FREE Resource
7 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When two linear equations that represent lines intersecting at a single point are added, what is true about the line corresponding to the resulting equation?
It will be parallel to one of the original lines.
It will be perpendicular to one of the original lines.
It will also pass through the same intersection point.
It will not intersect either of the original lines.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If two linear equations representing planes intersect along a common line, what is true about the plane corresponding to the sum of these two equations?
It will be parallel to one of the original planes.
It will be perpendicular to both original planes.
It will also include the common intersection line.
It will not intersect either of the original planes.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When a variable is eliminated from a linear equation, what is the geometric orientation of the resulting graph relative to the eliminated variable's axis?
It will be perpendicular to the eliminated variable's axis.
It will be parallel to the eliminated variable's axis.
It will intersect the eliminated variable's axis at the origin.
It will have no relation to the eliminated variable's axis.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a plane's equation does not contain a specific variable (e.g., Z), how is the plane oriented relative to the axis of that variable?
Perpendicular to that axis
Parallel to that axis
Intersects that axis at the origin
Contains that axis
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When the equations for two intersecting planes are added, what is true about the resulting plane?
It is always perpendicular to the line of intersection
It always passes through the origin
It must include their line of intersection
It is always parallel to both original planes
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
After adding equations of two intersecting planes and eliminating a variable, how can the resulting plane be oriented?
It can be oriented perpendicular to the eliminated variable's axis
It can be oriented parallel to the eliminated variable's axis
It can be oriented to pass through the origin, regardless of the line of intersection
It can be oriented to contain the eliminated variable's axis
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When eliminating a variable from a system of three planes that intersect along a line, what is the outcome regarding the resulting equation?
The resulting equation depends on which pair of equations is used
The resulting equation is always the same, regardless of which pair of equations is used
The resulting equation always represents a plane parallel to the eliminated variable's axis
The resulting equation always represents a plane that passes through the origin
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