How many solutions??
Flashcard
•
Mathematics
•
8th - 10th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What does it mean if an equation has no solution?
Back
It means that there are no values for the variable that can satisfy the equation. For example, the equation 4=8 is a contradiction.
2.
FLASHCARD QUESTION
Front
What does it mean if an equation has one solution?
Back
It means there is exactly one value for the variable that satisfies the equation. For example, in the equation 2=X, X equals 2.
3.
FLASHCARD QUESTION
Front
What does it mean if an equation has infinitely many solutions?
Back
It means that there are countless values for the variable that can satisfy the equation. For example, the equation -5=-5 is always true for any value of the variable.
4.
FLASHCARD QUESTION
Front
What is an example of an equation with no solution?
Back
An example is 4=8, which is a false statement.
5.
FLASHCARD QUESTION
Front
What is an example of an equation with one solution?
Back
An example is 2=X, where the solution is X=2.
6.
FLASHCARD QUESTION
Front
What is an example of an equation with infinitely many solutions?
Back
An example is -5=-5, which is true for all values.
7.
FLASHCARD QUESTION
Front
How can you determine if an equation has no solution?
Back
If simplifying the equation leads to a false statement, such as 4=8, it has no solution.
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