Algebra Class: Components of Expressions
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Questions and Answers

What is the 8 in the expression $8y + 3$?

  • Variable
  • Coefficient (correct)
  • Constant
  • Term

    • What is the y in the expression $8y + 3$?

  • Constant
  • Term
  • Coefficient
  • Variable (correct)

    • What is the 3 in the expression $8y + 3$?

  • Coefficient
  • Term
  • Variable
  • Constant (correct)

    • Define a variable.

    <p>A letter that represents a number.</p> Signup and view all the answers

    Define a constant.

    <p>A number without a variable.</p> Signup and view all the answers

    Define a coefficient.

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

    Define an algebraic expression.

    <p>An expression containing a variable, numbers, and operations but no equal sign.</p> Signup and view all the answers

    What are numbers and variables separated by operations called?

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

    How many terms are in the expression $4x - 12$?

    <p>2</p> Signup and view all the answers

    Which are like terms in the expression $6m - 2n + 7 - m$?

    <p>6m and -m</p> Signup and view all the answers

    How many terms are in the expression $6y$?

    <p>1</p> Signup and view all the answers

    How many terms are in the expression $3 + 7x + 3x + x$?

    <p>4</p> Signup and view all the answers

    How many terms are in the expression $6m - 2n + 7$?

    <p>3</p> Signup and view all the answers

    List the coefficients in the expression $6m - 2n + 7$.

    <p>6, -2</p> Signup and view all the answers

    List the coefficients in the expression $3 + 7x + 3x + x$.

    <p>7, 3, 1</p> Signup and view all the answers

    List the constant in the expression $7x - 3 + x$.

    <p>-3</p> Signup and view all the answers

    List the constant in the expression $6m - 2n + 7$.

    <p>7</p> Signup and view all the answers

    List the variables in the expression $6m - 2n + 7$.

    <p>m, n</p> Signup and view all the answers

    List the variables in the expression $3 + 7x + 3x + x$.

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

    What are 2x and -5x in the expression $2x + 4 - 5x - 8$?

    <p>Like terms</p> Signup and view all the answers

    Study Notes

    Algebraic Expression Components

    • Coefficient: A numerical factor of a term; e.g., in 8y + 3, 8 is the coefficient of y.
    • Variable: A symbol representing an unknown value, commonly a letter like y in expressions such as 8y + 3.
    • Constant: A fixed value without a variable; e.g., 3 in the expression 8y + 3.

    Characteristics of Terms

    • Algebraic Expression: A combination of variables, numbers, and operations (like addition or subtraction) without an equal sign.
    • Term: Components of an algebraic expression, which include numbers and variables separated by operations. For example, in 4x - 12, both 4x and -12 are distinct terms.

    Terms Count in Expressions

    • An expression such as 4x - 12 contains two terms.
    • The expression 6y consists of one term.
    • The expression 3 + 7x + 3x + x contains four terms.
    • The expression 6m - 2n + 7 has three terms.

    Identifying Like Terms

    • Like terms share the same variable part; in the expression 6m - 2n + 7 - m, the like terms are 6m and -m.
    • In the expression 2x + 4 - 5x - 8, the like terms are 2x and -5x.

    Coefficients and Constants Lists

    • For 6m - 2n + 7, the coefficients are 6 and -2.
    • In the expression 3 + 7x + 3x + x, the coefficients are 7, 3, and 1.
    • The constant in the expression 7x - 3 + x is -3, while in 6m - 2n + 7, it is 7.

    Variables Identification

    • In the expression 6m - 2n + 7, the variables are m and n.
    • In 3 + 7x + 3x + x, the variable present is x.

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    Quiz Team

    Description

    Test your knowledge on the components of algebraic expressions, including coefficients, variables, and constants. Explore the characteristics of terms and identify like terms in various algebraic expressions. This quiz is designed to reinforce your understanding of fundamental algebra concepts.

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