Language of Algebra Flashcards
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Questions and Answers

What is algebra?

  • Type of math that uses symbols (correct)
  • Type of math focused on statistics
  • Type of science that studies shapes
  • Type of math that only involves numbers
  • What is a variable in algebra?

    A symbol used to represent a quantity that can change

    What is an expression in math?

    A math phrase that contains operations, numbers, and/or variables

    What is an equation?

    <p>A math sentence that has an equals sign</p> Signup and view all the answers

    What does it mean to evaluate an expression?

    <p>To find an answer</p> Signup and view all the answers

    What is the Associative Property?

    <p>The sum or product is always the same no matter how they're grouped</p> Signup and view all the answers

    What is the Commutative Property?

    <p>Two or more numbers can be added or multiplied in any order without changing the answer</p> Signup and view all the answers

    What is the Order of Operations?

    <p>The rules to follow when more than one operation is used in an expression</p> Signup and view all the answers

    Study Notes

    Language of Algebra

    • Algebra: A branch of mathematics that employs symbols and letters to represent numbers in equations and expressions, allowing for the analysis of relationships and problem-solving.

    • Variable: Represents a quantity that can vary or change, often denoted by letters such as x, y, or z in mathematical expressions and equations.

    • Expression: A mathematical statement combining numbers, variables, and operations (such as addition or multiplication) without an equals sign, used to denote a specific value or relationship.

    • Equation: A mathematical assertion that two expressions are equal, featuring an equals sign. It can be used to find unknown values.

    • Evaluate: The process of calculating or finding the value of an expression or equation, typically resulting in a numerical answer.

    Mathematical Properties

    • Associative Property: States that the way numbers are grouped in addition or multiplication does not affect the sum or product. For example, (a + b) + c = a + (b + c).

    • Commutative Property: Indicates that the order of addition or multiplication of numbers does not alter the result. For example, a + b = b + a and ab = ba.

    • Order of Operations: The hierarchical set of rules that determines the sequence in which operations are performed in an expression (often remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

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    Test your knowledge of algebra vocabulary with these flashcards. Each card highlights key terms and definitions that are fundamental to understanding algebra. Perfect for students looking to strengthen their math foundations.

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