Types of Solutions

Flashcard
•
Mathematics
•
7th - 10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a solution in the context of algebraic equations?
Back
A solution is a value or set of values that satisfy an equation, making it true when substituted into the equation.
2.
FLASHCARD QUESTION
Front
How do you isolate a variable in an equation?
Back
To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.
3.
FLASHCARD QUESTION
Front
What is the first step in solving the equation -1 + 2x = 6x + 11?
Back
The first step is to move all terms involving x to one side and constant terms to the other side.
4.
FLASHCARD QUESTION
Front
What does it mean to combine like terms in an equation?
Back
Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.
5.
FLASHCARD QUESTION
Front
What is the solution to the equation 1 + 8x + 9 = -20 + 2x?
Back
The solution is x = -5.
6.
FLASHCARD QUESTION
Front
What is the importance of checking your solution in an equation?
Back
Checking your solution ensures that the value satisfies the original equation, confirming its correctness.
7.
FLASHCARD QUESTION
Front
What is the process of solving the equation 5 - 6x = 17 - 8x?
Back
The process involves isolating x by moving terms involving x to one side and constant terms to the other side.
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