Algebraic Expressions and Models 1.2
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Questions and Answers

What are numerical expressions comprised of?

  • Numbers and operations
  • Only numbers
  • Operations and grouping symbols
  • Numbers, operations, and grouping symbols (correct)

    • What do exponents represent?

    Repeated factors in multiplication

    What is a base in mathematics?

    The number attached to an exponent

    What are algebraic expressions?

    <p>Expressions involving variables</p> Signup and view all the answers

    What is the order of operations?

    <p>Parentheses, exponents, multiplication and division left to right, addition and subtraction left to right</p> Signup and view all the answers

    What is a variable?

    <p>A letter used to represent one or more numbers</p> Signup and view all the answers

    How do you evaluate an algebraic expression?

    <p>Write the expression, substitute for variable values, simplify</p> Signup and view all the answers

    What is a mathematical model?

    <p>An expression that represents a real-life situation</p> Signup and view all the answers

    What are terms in algebra?

    <p>Parts of an expression like 2x, 3</p> Signup and view all the answers

    What is a coefficient?

    <p>A number attached to a variable</p> Signup and view all the answers

    What are like terms?

    <p>Terms that have the same variable raised to the same power</p> Signup and view all the answers

    What are constants in algebra?

    <p>Fixed values like -5, 3</p> Signup and view all the answers

    Study Notes

    Numerical Expressions

    • Composed of numbers, operations (addition, subtraction, etc.), and grouping symbols (parentheses).

    Exponents

    • Notation representing repeated multiplication of a number by itself.

    Base

    • The number associated with an exponent; negative only if explicitly indicated within parentheses.

    Algebraic Expressions

    • Combinations of numbers, variables, and operations, allowing algebraic manipulation.

    Order of Operations

    • Follow the sequence: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right).

    Variable

    • A letter symbol that denotes one or more numerical values; can be substituted based on its specific value.

    Evaluating an Algebraic Expression

    • Involves writing the expression, substituting values for variables, and simplifying the result.

    Mathematical Model

    • An expression or equation that represents a real-world scenario or situation.

    Terms

    • Individual components in an expression, such as 2x or 3, which can be combined through addition or subtraction.

    Coefficient

    • The numerical factor that is multiplied by the variable in a term.

    Like Terms

    • Terms that have identical variable parts, allowing for simplification through addition or subtraction.

    Constants

    • Specific fixed values, such as -5 or 3, that do not change.

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    Description

    Test your knowledge of key concepts in Algebraic Expressions and Models with this set of flashcards. From understanding numerical expressions to the role of exponents and bases, this quiz covers essential definitions that form the foundation of algebra. Perfect for students looking to reinforce their grasp on these concepts.

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