Math Gr 8 Ch 7: Algebraic Language
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Questions and Answers

What is an algebraic expression?

  • A sequence of operations that can be written in only one form.
  • A sequence of operations that can be written in different forms while remaining equivalent. (correct)
  • A sequence of operations that always yields the same value.
  • A sequence of operations that only involves multiplication and division.

    • What are the terms that have the same variable(s) raised to the same power?

  • Equivalent expressions
  • Like terms (correct)
  • Unlike terms
  • Coefficients

    • What is the numerical part of a term that contains a variable?

  • Variable
  • Equivalent expression
  • Coefficient (correct)
  • Like term

    • What is the purpose of combining like terms in algebra?

    <p>To make the expression simpler</p> Signup and view all the answers

    What is the correct order of operations in algebra?

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

    What is the purpose of a flow diagram in algebra?

    <p>To represent the sequence of operations visually</p> Signup and view all the answers

    Which of the following expressions are equivalent?

    <p>2x + 3x and 5x</p> Signup and view all the answers

    What is the result of combining the like terms in the expression 2x + 3x + 4?

    <p>5x + 4</p> Signup and view all the answers

    What is the coefficient of the term 3x in the expression 2x + 3x + 4?

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

    What is the correct order of operations when evaluating the expression 2 × (3 + 4)?

    <p>Follow the order: parentheses, multiplication, addition</p> Signup and view all the answers

    What is the purpose of using a flow diagram to represent the expression 2 × (3 + 4)?

    <p>To visualize the sequence of operations</p> Signup and view all the answers

    Which of the following expressions is in simplified form?

    <p>5x + 4</p> Signup and view all the answers

    Which of the following statements is true about equivalent expressions?

    <p>Equivalent expressions yield the same value for all values of the variables.</p> Signup and view all the answers

    What is the purpose of following the order of operations when evaluating an expression?

    <p>To avoid errors in calculations</p> Signup and view all the answers

    What is the advantage of using a flow diagram to represent a sequence of operations?

    <p>It visually represents the sequence of operations and helps to understand the order</p> Signup and view all the answers

    What happens when you combine like terms in an expression?

    <p>The expression is simplified</p> Signup and view all the answers

    What is the result of omitting the multiplication sign in an algebraic expression?

    <p>The expression remains unchanged</p> Signup and view all the answers

    What is a characteristic of an algebraic expression?

    <p>It can be written in different forms while remaining equivalent</p> Signup and view all the answers

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