Math Gr 8 Ch 7 SUM: Algebraic Expressions
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Questions and Answers

What is the definition of an algebraic expression?

  • An expression that always yields a value of 0
  • A sequence of operations that can be written in different forms while remaining equivalent (correct)
  • An expression that only involves addition and subtraction
  • A single term that contains a variable

    • What is the purpose of the distributive property in algebra?

  • To cancel out terms in an expression
  • To expand expressions by multiplying a single term by each term within a parenthesis (correct)
  • To simplify expressions by combining like terms
  • To reorder the terms in an expression

    • What is the process of combining terms that have the same variable raised to the same power?

  • Combining like terms (correct)
  • Expanding expressions
  • Simplifying expressions
  • Solving equations

    • What is the order of operations in algebra?

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

    What is a product expression in algebra?

    <p>An expression that involves multiplication as the last step</p> Signup and view all the answers

    What is the role of flow diagrams in algebra?

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

    What is the coefficient of a term in algebra?

    <p>The numerical part of the term</p> Signup and view all the answers

    What is the purpose of simplifying algebraic expressions?

    <p>To combine like terms and make the expression easier to work with</p> Signup and view all the answers

    What is the result of expanding the expression 2(x + 3)?

    <p>2x + 6</p> Signup and view all the answers

    Which of the following expressions is in its simplest form?

    <p>4x + 3</p> Signup and view all the answers

    What is the result of simplifying the expression (3x + 2) - (2x - 1)?

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

    Which of the following expressions is equivalent to 2x^2 + 3x - 1?

    <p>(2x + 1)(x - 1)</p> Signup and view all the answers

    What is the result of expanding the expression 3(2x - 1) + 2?

    <p>6x - 3</p> Signup and view all the answers

    Which of the following expressions is a sum expression?

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

    What is the result of simplifying the expression x + 2x + 3x - 2?

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

    Which of the following expressions is not in its simplest form?

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

    What is the result of expanding the expression $(2x + 1)(x - 3)$?

    <p>$2x^2 - 5x - 3$</p> Signup and view all the answers

    Which of the following expressions is equivalent to $3x^2 + 2x - 1$?

    <p>$(3x - 1)(x + 1)$</p> Signup and view all the answers

    What is the result of simplifying the expression $(x + 2) + (3x - 1)$?

    <p>$4x + 1$</p> Signup and view all the answers

    What is the result of expanding the expression $2(3x - 2) + x$?

    <p>$7x - 4$</p> Signup and view all the answers

    Which of the following expressions is not equivalent to $2x^2 + 3x - 1$?

    <p>$(2x + 1)(x + 1)$</p> Signup and view all the answers

    What is the result of simplifying the expression $(2x + 1) - (x - 2)$?

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

    What is the result of expanding the expression $3(x - 2) + 2x$?

    <p>$5x - 6$</p> Signup and view all the answers

    Which of the following expressions is equivalent to $x^2 + 2x - 3$?

    <p>$(x + 3)(x - 1)$</p> Signup and view all the answers

    Which of the following expressions is equivalent to $2x^2 + 5x - 3$?

    <p>$2(x^2 + 2x - 1) + 2x$</p> Signup and view all the answers

    What is the result of expanding the expression $(x + 2)(x + 3)$?

    <p>$x^2 + 5x + 6$</p> Signup and view all the answers

    Which of the following expressions is equivalent to $3x^2 - 2x - 1$?

    <p>$3(x^2 - 2x) - 1$</p> Signup and view all the answers

    What is the result of simplifying the expression $(2x + 1) + (3x - 2) + (x + 3)$?

    <p>$6x + 2$</p> Signup and view all the answers

    Which of the following expressions is equivalent to $x^2 - 2x + 1$?

    <p>$(x - 1)^2$</p> Signup and view all the answers

    What is the result of expanding the expression $2(3x - 2) + 2x$?

    <p>$6x - 4 + 2x$</p> Signup and view all the answers

    Which of the following expressions is equivalent to $2x^2 + 4x - 3$?

    <p>$2(x^2 + 2x - 1)$</p> Signup and view all the answers

    What is the result of simplifying the expression $(3x + 2) - (2x - 1)$?

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

    What is the result of expanding the expression $(2x + 1)(2x - 3)$?

    <p>4x^2 - 5x - 3</p> Signup and view all the answers

    What is the result of simplifying the expression $(2x + 1) + (x - 2) + (3x + 1)$?

    <p>6x + 2</p> Signup and view all the answers

    What is the result of expanding the expression $3(x + 2) - 2(x - 3)$?

    <p>5x + 13</p> Signup and view all the answers

    What is the result of simplifying the expression $2x + 3x + x - 2$?

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

    What is the result of expanding the expression $2(x + 3) + 3(x - 2)$?

    <p>5x + 12</p> Signup and view all the answers

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