What does it mean if an equation has infinitely many solutions?
One Solution, No Solution, Infinite Solutions

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Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
It means that there are an infinite number of values for the variable that satisfy the equation, often because the equation simplifies to a true statement (e.g., 0 = 0).
2.
FLASHCARD QUESTION
Front
What is a condition for an equation to have no solution?
Back
An equation has no solution when the two sides are contradictory, such as 2 = 3, meaning there is no value for the variable that can make the equation true.
3.
FLASHCARD QUESTION
Front
Solve: 3x + 15 = 3(x + 5)
Back
Infinitely Many Solutions
4.
FLASHCARD QUESTION
Front
What is the missing information that would make the statement FALSE for One solution? 4x + 5 = _ - 6
Back
4x
5.
FLASHCARD QUESTION
Front
Simplify: 3x - 7 = 3(x - 3) + 2. What type of solution does it have?
Back
Infinite solutions
6.
FLASHCARD QUESTION
Front
What is the missing information that would make the statement true for INFINITE solutions? _ + 10 = 5x + 10
Back
5x
7.
FLASHCARD QUESTION
Front
Solve: 6x + 9 – x = 3x + 9 + x
Back
One Solution
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