Understanding Variables, Constants, and Terms in Algebra
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Understanding Variables, Constants, and Terms in Algebra

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Questions and Answers

What is the definition of a coefficient?

  • The multiplicative factor in a term (correct)
  • The sum of the exponents in a term
  • A value that does not change
  • A term separated by a plus sign and a minus sign
  • What does the degree of a term refer to?

  • A value that does not change
  • The result of carrying out indicated operations
  • The sum of the exponents in a term (correct)
  • A term separated by a plus sign and a minus sign
  • How do you evaluate an expression involving variables?

  • Separate the terms using plus and minus signs
  • Find the sum of the exponents in each term
  • Replace each variable with its number and carry out indicated operations (correct)
  • Multiply the terms together and then add the coefficients
  • Study Notes

    Algebraic Expressions

    • A coefficient is a numerical value that multiplies a variable in an algebraic expression, often represented by a letter or symbol.
    • The degree of a term refers to the exponent or power to which the variable is raised, indicating the number of times the variable is multiplied by itself.

    Evaluating Expressions

    • To evaluate an expression involving variables, substitute the given values of the variables into the expression, following the order of operations (PEMDAS: parentheses, exponents, multiplication and division, and addition and subtraction).
    • Simplify the expression by combining any like terms, and perform any necessary calculations to arrive at the final result.

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    Description

    Test your knowledge of algebraic expressions, including variables, constants, terms, and coefficients. Learn how to evaluate expressions by replacing variables with specific numbers and carrying out the indicated operations.

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