Equations with one solution, no solutions, or infinite solution

Flashcard
•
Mathematics
•
8th Grade - University
•
Hard
+3
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16 questions
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1.
FLASHCARD QUESTION
Front
What is an equation with infinite solutions?
Back
An equation that is true for all values of the variable, meaning both sides of the equation are identical after simplification.
Tags
CCSS.8.EE.C.7A
2.
FLASHCARD QUESTION
Front
Example of an equation with infinite solutions: 8m + 12 = 2(4m + 6)
Back
Infinite Solutions
Tags
CCSS.8.EE.C.7A
3.
FLASHCARD QUESTION
Front
What is an equation with no solution?
Back
An equation that has no values of the variable that can satisfy it, meaning both sides of the equation are never equal.
Tags
CCSS.8.EE.C.7A
4.
FLASHCARD QUESTION
Front
Example of an equation with no solution: 9y + 8 = 9y - 8
Back
No Solution
Tags
CCSS.8.EE.C.7A
5.
FLASHCARD QUESTION
Front
What is a linear equation?
Back
An equation that makes a straight line when graphed, typically in the form ax + b = c.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
6.
FLASHCARD QUESTION
Front
How do you determine if an equation has one solution, no solution, or infinite solutions?
Back
By simplifying the equation and checking if it leads to a true statement (infinite solutions), a false statement (no solution), or a specific value (one solution).
Tags
CCSS.8.EE.C.7A
7.
FLASHCARD QUESTION
Front
Example of an equation with one solution: 6(m + 3) = 5(m - 2)
Back
x = -28
Tags
CCSS.8.EE.C.7A
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