Equations with no solutions or infinite solution
Flashcard
•
Mathematics
•
8th Grade - University
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is an equation with no solution?
Back
An equation with no solution is one where no value of the variable can satisfy the equation. For example, 9y + 8 = 9y - 8 has no solution because simplifying leads to a false statement.
2.
FLASHCARD QUESTION
Front
What is an equation with infinite solutions?
Back
An equation with infinite solutions is one where any value of the variable satisfies the equation. For example, 5y - 15 = 5(y - 2) simplifies to a true statement for all values of y.
3.
FLASHCARD QUESTION
Front
Solve: 9y + 8 = 9y - 8
Back
No Solution
4.
FLASHCARD QUESTION
Front
Solve: 6(m + 3) = 5(m - 2)
Back
m = -28
5.
FLASHCARD QUESTION
Front
Solve: 2(m + 3) = 2m + 12
Back
No Solution
6.
FLASHCARD QUESTION
Front
Solve: 5.5 - x = -4.5 - x
Back
No Solution
7.
FLASHCARD QUESTION
Front
What does it mean if an equation simplifies to a true statement like 0 = 0?
Back
It means the equation has infinite solutions.
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