
Number of solutions
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the definition of a solution in algebra?
Back
A solution is a value or set of values that satisfies an equation.
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 makes the equation true.
3.
FLASHCARD QUESTION
Front
What does it mean if an equation has no solution?
Back
It means there is no value for the variable that can satisfy the equation.
4.
FLASHCARD QUESTION
Front
What does it mean if an equation has infinite solutions?
Back
It means there are an unlimited number of values for the variable that satisfy the equation, often indicating that the equations are equivalent.
5.
FLASHCARD QUESTION
Front
Example of an equation with one solution: x + 2 = 5. What is the solution?
Back
x = 3.
6.
FLASHCARD QUESTION
Front
Example of an equation with no solution: 2x + 3 = 2x + 5. What is the conclusion?
Back
No solution, because 3 cannot equal 5.
7.
FLASHCARD QUESTION
Front
Example of an equation with infinite solutions: 3(x + 2) = 3x + 6. What is the conclusion?
Back
Infinite solutions, because both sides are equivalent.
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