Infinite/No Solution/One Solution

Flashcard
•
Mathematics
•
9th Grade
•
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 will satisfy the equation.
2.
FLASHCARD QUESTION
Front
What is the definition of infinite solutions?
Back
An equation has infinite solutions if any value of the variable will satisfy the equation.
3.
FLASHCARD QUESTION
Front
What is the definition of one solution?
Back
Only this ONE solution will make the equation true.
4.
FLASHCARD QUESTION
Front
How can you determine if an equation has no solution?
Back
If simplifying the equation leads to a contradiction, such as 0 = 5, it has no solution.
5.
FLASHCARD QUESTION
Front
What is an example of an equation with infinite solutions?
Back
An example is 2(x + 1) = 2x + 2.
6.
FLASHCARD QUESTION
Front
What is an example of an equation with one solution?
Back
An example is 3x + 2 = 11, which has the solution x = 3.
7.
FLASHCARD QUESTION
Front
What does it mean for two equations to be equivalent?
Back
Two equations are equivalent if they have the same solution set.
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