Algebra Keywords Flashcards
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Questions and Answers

What is an equation?

  • An equation that results in a practical real-life solution.
  • A mathematical sentence without an equal sign.
  • An equation that is true for every value.
  • A mathematical statement that two expressions are equal. (correct)
  • 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.

    <p>An equation that is true for every value.</p> Signup and view all the answers

    What does it mean to simplify an expression?

    <p>To write an expression in the smallest way possible.</p> Signup and view all the answers

    What does it mean to solve an equation?

    <p>To find a value for a variable.</p> Signup and view all the answers

    In the expression 3x + 2, what is the variable?

    <p>x</p> Signup and view all the answers

    What does substitute mean in mathematics?

    <p>To put a number in place of a variable.</p> Signup and view all the answers

    What is a constant in an expression?

    <p>A value that doesn't change.</p> Signup and view all the answers

    Study Notes

    Algebra Keywords

    • Equation: A statement that asserts the equality of two expressions. Essential for solving mathematical problems.

    • Expression: A combination of numbers, variables, and operators without an equal sign. Represents a value but does not compare like an equation does.

    • 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.

    • 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.

    • Simplify: The process of transforming an expression into its most concise form, reducing complexity while maintaining equality.

    • Solve: The act of determining the value of a variable that satisfies an equation or expression. Critical for finding solutions in algebra.

    • 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.

    • Substitute: The method of replacing a variable with a specific number in an expression or equation, allowing for computation or simplification.

    • 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.

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