Algebra Basics Quiz
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Questions and Answers

What is a binomial in algebra?

  • An expression with one term.
  • An expression with two terms. (correct)
  • An expression that cannot be simplified.
  • An expression with three terms.

    • What does it mean to expand an algebraic expression?

  • To factor the expression into simpler components.
  • To multiply out brackets and write the expression without brackets. (correct)
  • To isolate the variable on one side of the equation.
  • To combine like terms into a single expression.

    • Which of the following describes a monomial?

  • An algebraic expression with one term. (correct)
  • An equation containing at least one variable.
  • An expression with two or more terms.
  • An expression that cannot be factored.

    • In algebra, what is the purpose of factoring an expression?

    <p>To express the expression as a product of its factors. (D)</p> Signup and view all the answers

    What is meant by isolating a variable in an equation?

    <p>To get the variable by itself on one side of the equation. (D)</p> Signup and view all the answers

    What is the simplified form of the expression 5$x$ + 4$x$ - 2?

    <p>9$x$ - 2 (B)</p> Signup and view all the answers

    What is the result of expanding 5(2$x$ - 3)?

    <p>10$x$ - 15 (A)</p> Signup and view all the answers

    What value of $x$ satisfies the equation 4$x$ + 7 = 9?

    <p>1 (A)</p> Signup and view all the answers

    In the expression 5$x$ - 3, what type of expression is it classified as?

    <p>Binomial (A)</p> Signup and view all the answers

    If $x$ is 3, what is the value of 6$x$ + 12?

    <p>36 (D)</p> Signup and view all the answers

    Flashcards

    Binomial

    An algebraic expression with two terms.

    Expand

    Multiply out brackets to remove them.

    Factor

    Write an expression as a product.

    Simplify 3x + 4 + 2x + 5

    Combine like terms (x terms and constants) to get 5x + 9

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    3(x + 2) expanded

    3x + 6

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    Equivalent Expressions

    Expressions that have the same value for any value of the variable. They look different, but simplify to the same thing.

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    Solve for a Variable

    Find the value of the variable that makes the equation true. Isolate the variable on one side of the equation.

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    Inverse Operations

    Operations that undo each other. Addition and subtraction are inverses, as are multiplication and division.

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    Translate Words to Equations

    Represent a word problem with a mathematical equation.

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    What is 5x - 3?

    This is a binomial because it has two terms separated by a subtraction sign. A term is a constant, a variable, or a product of constants and variables.

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