Algebraic Expression Flashcards
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Questions and Answers

What is an algebraic expression?

  • A mathematical sentence with only numbers
  • Only a variable
  • A mathematical sentence containing numbers, variables, and operations (correct)
  • An equation with a solution
  • What is a variable?

    A quantity that may change within a mathematical context.

    What is a term in mathematics?

    A component of an expression separated by plus or minus signs.

    What is a factor?

    <p>Numbers you multiply together to produce a product.</p> Signup and view all the answers

    The number listed first when multiplying a variable and a number is called ________

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

    What is a constant?

    <p>A number that stands alone with a fixed value.</p> Signup and view all the answers

    What does the base number indicate in multiplication?

    <p>What number is being multiplied.</p> Signup and view all the answers

    What is an exponent?

    <p>It tells how many times the base number is being multiplied.</p> Signup and view all the answers

    The process of replacing a variable with a given value in an expression is called __________.

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

    Study Notes

    Algebraic Expressions

    • An algebraic expression is a combination of numbers, variables, and operations, such as addition or subtraction. Example: x + 4.

    Variables

    • Variables represent quantities that can vary in mathematical contexts. Typically, a single letter denotes a variable.

    Terms

    • Algebraic expressions consist of terms, which are components separated by plus or minus signs. Terms can include variables, numbers, or products of variables and numbers.

    Factors

    • Factors are numbers multiplied together to yield a product. They play a crucial role in creating terms within algebraic expressions.

    Coefficients

    • In an algebraic term featuring multiplication between a variable and a number, the number in front is known as the coefficient.

    Constants

    • Constants are fixed-value numbers within an expression. They do not change and stand alone without any variables.

    Base

    • The base in an expression signifies the number that is subject to multiplication in exponential expressions.

    Exponent

    • An exponent indicates how many times the base number is multiplied by itself. It clarifies the extent of a base's impact in calculations.

    Substitution

    • Substitution involves replacing a variable in an expression with a specific value to evaluate the expression. This process simplifies calculations and solves problems effectively.

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    Description

    This quiz features flashcards on key concepts related to algebraic expressions. Each card provides a definition and example to help reinforce understanding of terms such as variables and terms. Perfect for students learning algebra.

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