One Solution, No Solution, Many Solutions
Flashcard
•
Mathematics
•
8th Grade
•
Hard
+2
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What does it mean if a system of linear equations has one solution?
Back
The two lines represented by the equations intersect at exactly one point.
Tags
CCSS.8.EE.C.8A
2.
FLASHCARD QUESTION
Front
What is the solution to the system of equations represented by the lines y = 2x + 1 and y = 2x - 3?
Back
No Solution (the lines are parallel).
Tags
CCSS.8.EE.C.8B
3.
FLASHCARD QUESTION
Front
How can you determine if a system of equations has infinitely many solutions?
Back
If the two equations represent the same line, they have infinitely many solutions.
Tags
CCSS.8.EE.C.8B
4.
FLASHCARD QUESTION
Front
What is the graphical representation of a system with no solutions?
Back
Two parallel lines that never intersect.
Tags
CCSS.8.EE.C.8A
5.
FLASHCARD QUESTION
Front
What does it mean if two lines intersect at a single point?
Back
The system of equations has one unique solution.
Tags
CCSS.8.EE.C.8B
6.
FLASHCARD QUESTION
Front
What is the significance of the slopes of two lines in a system of equations?
Back
If the slopes are equal and the y-intercepts are different, the system has no solutions. If the slopes are different, the system has one solution.
Tags
CCSS.8.EE.C.8B
7.
FLASHCARD QUESTION
Front
What is the equation of a line in slope-intercept form?
Back
y = mx + b, where m is the slope and b is the y-intercept.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
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