What is the definition of an equation?
Solving Equations: Solution Types

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Mathematics
•
8th - 9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.
2.
FLASHCARD QUESTION
Front
What does it mean for an equation to have one solution?
Back
An equation has one solution when there is exactly one value of the variable that makes the equation true.
3.
FLASHCARD QUESTION
Front
What does it mean for an equation to have no solution?
Back
An equation has no solution when there is no value of the variable that can satisfy the equation.
4.
FLASHCARD QUESTION
Front
What does it mean for an equation to have infinite solutions?
Back
An equation has infinite solutions when any value of the variable satisfies the equation, indicating that the two sides of the equation are equivalent for all values.
5.
FLASHCARD QUESTION
Front
How do you determine if an equation has one solution, no solution, or infinite solutions?
Back
To determine the type of solution, simplify the equation and analyze the resulting expressions. If they are equivalent, there are infinite solutions; if they lead to a contradiction, there is no solution; if they yield a single value, there is one solution.
6.
FLASHCARD QUESTION
Front
What is the first step in solving a linear equation?
Back
The first step in solving a linear equation is to isolate the variable on one side of the equation.
7.
FLASHCARD QUESTION
Front
What is the significance of the distributive property in solving equations?
Back
The distributive property allows you to multiply a single term by each term inside a set of parentheses, which is essential for simplifying equations.
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