Questions and Answers
What is an equation?
What is the definition of an expression?
A mathematical sentence without an equal sign.
What is a formula?
An equation that results in a practical real-life solution.
Define an identity in mathematics.
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What does it mean to simplify an expression?
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What does it mean to solve an equation?
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In the expression 3x + 2, what is the variable?
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What does substitute mean in mathematics?
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What is a constant in an expression?
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Study Notes
Algebra Keywords
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Equation: A statement that asserts the equality of two expressions. Essential for solving mathematical problems.
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Expression: A combination of numbers, variables, and operators without an equal sign. Represents a value but does not compare like an equation does.
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Formula: A specific type of equation that provides a method for calculating a value in real-world applications. Example: Area of a rectangle—A = w × l.
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Identity: A specific type of equation that is true for all possible values. It emphasizes the concept of equality across the entire set of numbers.
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Simplify: The process of transforming an expression into its most concise form, reducing complexity while maintaining equality.
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Solve: The act of determining the value of a variable that satisfies an equation or expression. Critical for finding solutions in algebra.
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Variable: A symbol, often represented by letters like x, that can take on different values within an equation or expression. Example: In the expression 3x + 2, x is the variable.
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Substitute: The method of replacing a variable with a specific number in an expression or equation, allowing for computation or simplification.
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Constant: A fixed value that does not change within an equation or expression. In the expression 3x + 2, the number 2 is a constant; in πr², π serves as a constant.
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Test your knowledge of key algebraic terms with these flashcards. Each card presents a crucial concept, from equations to identities, that are foundational in algebra. Perfect for reviewing essential vocabulary needed for mastering algebra.