One Solution, No Solution, or Infinite Solutions
Flashcard
•
Mathematics
•
8th Grade
•
Hard
+5
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What does it mean when an equation has one solution?
Back
An equation has one solution when there is exactly one value of the variable that satisfies the equation.
Tags
CCSS.8.EE.C.7A
2.
FLASHCARD QUESTION
Front
What does it mean when an equation has no solution?
Back
An equation has no solution when there is no value of the variable that can satisfy the equation, often resulting in a contradiction.
Tags
CCSS.8.EE.C.7A
3.
FLASHCARD QUESTION
Front
What does it mean when an equation has infinitely many solutions?
Back
An equation has infinitely many solutions when any value of the variable satisfies the equation, typically when both sides of the equation are equivalent.
Tags
CCSS.8.EE.C.7A
4.
FLASHCARD QUESTION
Front
How can you determine if an equation has one solution, no solution, or infinitely many solutions?
Back
You can determine this by simplifying the equation and analyzing the resulting expressions for contradictions or identities.
Tags
CCSS.8.EE.C.7A
5.
FLASHCARD QUESTION
Front
What is the significance of equivalent equations in solving for variables?
Back
Equivalent equations have the same solution set, meaning that manipulating an equation to create an equivalent form can help find solutions.
Tags
CCSS.8.EE.C.7A
6.
FLASHCARD QUESTION
Front
What is the first step in solving a linear equation?
Back
The first step is to simplify both sides of the equation, if possible, by distributing and combining like terms.
Tags
CCSS.8.EE.C.7B
7.
FLASHCARD QUESTION
Front
What is the role of the distributive property in solving equations?
Back
The distributive property allows you to eliminate parentheses by multiplying a term outside the parentheses by each term inside.
Tags
CCSS.8.EE.C.7B
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