Podcast
Questions and Answers
What is a variable equation?
What is a variable equation?
- An equation with constant values
- An equation with no solutions
- An equation containing a variable (correct)
- An equation that is always true
What is a solution in the context of equations?
What is a solution in the context of equations?
A value of the variable that makes the equation true
What are equivalent equations?
What are equivalent equations?
Equations with the same solutions
What are properties of equality?
What are properties of equality?
What are inverse operations?
What are inverse operations?
What does it mean to solve an equation?
What does it mean to solve an equation?
What does it mean to check a solution?
What does it mean to check a solution?
What is a discount?
What is a discount?
What is the sale price?
What is the sale price?
Study Notes
Algebra Key Concepts
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Variable Equation: An equation that includes one or more variables. Essential for representing relationships in algebra.
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Solution: This refers to the specific value of the variable that satisfies the equation, making it correct.
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Equivalent Equations: These are equations that yield the same solution set, meaning they are different in form but represent the same relationship.
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Properties of Equality: Fundamental rules stating that performing the same operation (addition, subtraction, multiplication, or division) on both sides of an equation maintains equality, generating an equivalent equation.
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Inverse Operations: Pairs of operations that reverse each other, such as addition and subtraction or multiplication and division. Key for solving equations.
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Solve: The process of determining the value of the variable in an equation, leading to the solution.
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Check: To confirm the solution by substituting it back into the original equation to verify that it holds true.
Financial Terminology
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Discount: Represents the amount reduced from the original price of an item when purchased during a sale; important for understanding savings.
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Sale Price: The final price after applying the discount to the regular price, indicating the actual amount paid at purchase.
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Description
Test your knowledge with these Algebra 3 flashcards. This quiz covers key terms such as variable equations, solutions, equivalent equations, and properties of equality. Perfect for anyone looking to sharpen their algebra skills.