System of Linear Equations in Two Variables
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
+3
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of linear equations in two variables?
Back
A system of linear equations in two variables consists of two or more linear equations that share the same variables, typically represented as x and y.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
What does it mean if the graph of a system of equations shows parallel lines?
Back
If the graph shows parallel lines, it means that the system has no solution because the lines never intersect.
Tags
CCSS.8.EE.C.8A
3.
FLASHCARD QUESTION
Front
What indicates that a system of linear equations has exactly one solution?
Back
A system has exactly one solution if the graph of the equations shows intersecting lines.
Tags
CCSS.8.EE.C.8A
4.
FLASHCARD QUESTION
Front
What is the significance of the slope in a system of linear equations?
Back
The slope indicates the steepness of the line; if two lines have the same slope but different y-intercepts, they are parallel and do not intersect.
Tags
CCSS.8.EE.C.8B
5.
FLASHCARD QUESTION
Front
How can you determine if a system of equations is consistent or inconsistent?
Back
A system is consistent if it has at least one solution (intersecting lines) and inconsistent if it has no solutions (parallel lines).
Tags
CCSS.8.EE.C.8A
6.
FLASHCARD QUESTION
Front
What is the graphical representation of the equations x - y = 1 and 2x - y = 1?
Back
The graphical representation shows two intersecting lines, indicating that the system has one unique solution.
Tags
CCSS.8.EE.C.8A
7.
FLASHCARD QUESTION
Front
What does the ordered pair (15, 7) represent in the context of a word problem involving costs?
Back
The ordered pair (15, 7) represents the quantities of two items (e.g., illustration boards and markers) that satisfy the equations derived from the problem.
Tags
CCSS.8.EE.C.8C
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