Factoring Expressions And Solving Quadratic Equations (Me3e Quiz 1)

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| By Jrivers
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Factoring Expressions And Solving Quadratic Equations (Me3e Quiz 1) - Quiz

Questions and Answers
  • 1. 

    Define each term in your own words! a) quadratic equation b) set notation

  • 2. 

    In order, write down the four steps for solving a quadratic equation.  

  • 3. 

    Factor the following (be careful with signs!)

    Explanation
    This is an example of difference of perfect squares where y2 and 49 are both perfect squares.

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  • 4. 

    Factor the trinomial  

    Explanation
    This is a trinomial. We want to multiply to -12 and add to a positive 1. Therefore we need +4 and -3.

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  • 5. 

                                                     TRUE or FALSE The following expression: 3x - 30 is factored correctly as: (x - 10)  

    • A.

      True

    • B.

      False

    Correct Answer
    B. False
    Explanation
    The given expression, 3x - 30, can be factored as 3(x - 10), not as (x - 10). Therefore, the correct answer is False.

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  • 6. 

                                                           CHECK ALL THAT APPLY Which are factored correctly?

    Correct Answer(s)
    A.
    C.
  • 7. 

    Solve the following quadratic equation and choose your answer below

    • A.

      {-6, -3}

    • B.

      {-6}

    • C.

      {3, 6}

    • D.

      {-3, 6}

    Correct Answer
    A. {-6, -3}
    Explanation
    Trinomial factoring

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  • 8. 

    Solve the following quadratic equation by factoring (HINT: USE GCF)

    • A.

      {-2/3}

    • B.

      {-2/3, 0}

    • C.

      {0}

    • D.

      {0,3/2}

    Correct Answer
    A. {-2/3}
    Explanation
    Factoring by gcf where gcf is just "x"

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  • 9. 

    Solve and check. Express your answer in set notation {  ,  }

    Correct Answer
    {-11, 11}
    {11, -11}
    11, -11
    -11, 11
    Explanation
    The correct answer is {-11, 11},{11, -11}. The answer is in set notation and includes the values -11 and 11, with both possible orders of the numbers. The answer also includes the individual values 11 and -11, but these are not in set notation.

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  • 10. 

    Use the PAYBACK METHOD to factor the following quadratic equation.

    • A.

      (3x+6)(3x+4)

    • B.

      (x+2)(x+4)

    • C.

      (x+6)(x+4)

    • D.

      (3x+4)(x+2)

    Correct Answer
    D. (3x+4)(x+2)
    Explanation
    The given quadratic equation can be factored using the Payback Method. The Payback Method involves finding the common factors between the terms in the equation and factoring them out. In this case, the common factor between the terms is (3x+4). By factoring out (3x+4) from both terms, we are left with (3x+4)(x+2), which is the correct answer.

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