Solving Equations with Variables on Both Sides

Flashcard
•
Mathematics
•
8th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What does it mean when an equation has no solution?
Back
An equation has no solution when there are no values for the variable that can satisfy the equation, often resulting in a contradiction.
2.
FLASHCARD QUESTION
Front
What is the definition of an inequality?
Back
An inequality is a mathematical statement that compares two expressions, showing that one is less than, greater than, less than or equal to, or greater than or equal to the other.
3.
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.
4.
FLASHCARD QUESTION
Front
What is the first step in solving the equation x + 2 = x + 4?
Back
The first step is to subtract x from both sides to simplify the equation.
5.
FLASHCARD QUESTION
Front
What does 'less than' mean in mathematical terms?
Back
'Less than' indicates that one quantity is smaller than another, represented by the symbol '<'.
6.
FLASHCARD QUESTION
Front
How can you represent a real-world scenario using an inequality?
Back
You can represent a real-world scenario using an inequality by defining a situation where a quantity must not exceed a certain limit, such as budget constraints.
7.
FLASHCARD QUESTION
Front
What is the solution to the equation -15v - 40 = 23 - 8v?
Back
The solution is v = -9.
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