One Solution, No Solution, Infinite Solutions

Flashcard
•
Mathematics
•
8th Grade
•
Hard
+3
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What are the three types of solutions for a system of equations?
Back
One solution, no solution, infinite solutions.
Tags
CCSS.8.EE.C.8B
2.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has infinite solutions?
Back
It means that the equations represent the same line, and there are countless points that satisfy both equations.
Tags
CCSS.8.EE.C.8A
3.
FLASHCARD QUESTION
Front
How can you determine if a system of equations has no solution?
Back
If the equations represent parallel lines, they will never intersect, indicating no solution.
Tags
CCSS.8.EE.C.8A
4.
FLASHCARD QUESTION
Front
What is the condition for a system of equations to have exactly one solution?
Back
The lines represented by the equations must intersect at exactly one point.
Tags
CCSS.8.EE.C.8A
5.
FLASHCARD QUESTION
Front
What does it mean to simplify an equation?
Back
To combine like terms and reduce the equation to its simplest form.
Tags
CCSS.7.EE.A.1
6.
FLASHCARD QUESTION
Front
In the equation 3x + 15 = 3(x + 5), what does it indicate if both sides are equal after simplification?
Back
It indicates that there are infinitely many solutions.
Tags
CCSS.8.EE.C.7A
7.
FLASHCARD QUESTION
Front
What is the significance of the term 'missing information' in the context of equations?
Back
It refers to a variable or constant that, if altered, can change the number of solutions the equation has.
Tags
CCSS.7.EE.B.4A
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