Chapter 5 Extra Credit

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| By Dinkinsk
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Dinkinsk
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Quizzes Created: 3 | Total Attempts: 2,033
| Attempts: 63
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  • 1/7 Questions

    Simplify (3x^0)^2(2x^4)

    • X^4
    • 12x^4
    • 18x^6
    • 18x^4
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About This Quiz

This quiz, titled 'Chapter 5 Extra Credit', includes various algebraic problems such as simplification, scientific notation, and factoring.

Chapter 5 Extra Credit - Quiz

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  • 2. 

    Scientists have determined that the speed at which light travels is approxiamtely 300,000,000 meters per second.  Express this speed in scientific notation.

    • 3 x 10^7 m/s

    • 3 x 10^8 m/s

    • 3 x 10^(-8) m/s

    • 30 x 10^(-7) m/s

    Correct Answer
    A. 3 x 10^8 m/s
    Explanation
    The speed of light is approximately 300,000,000 meters per second. In scientific notation, this can be expressed as 3 x 10^8 m/s.

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  • 3. 

    Simplify (5m - 9) + (4m + 2)

    • 9m - 11

    • M - 11

    • 9m - 7

    • 20m^2 - 18

    Correct Answer
    A. 9m - 7
    Explanation
    The given expression is (5m - 9) + (4m + 2). To simplify this expression, we can combine like terms. The like terms in this expression are the terms with the variable m. Adding the coefficients of these terms, we get 5m + 4m = 9m. Then, we add the constant terms -9 and 2, which gives us -7. Therefore, the simplified expression is 9m - 7.

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  • 4. 

    Simplify (x^2 - 2x - 35) / (x + 5)

    • X^2 - x - 30

    • X - 7

    • X + 5

    • X^3 + 3x^2

    Correct Answer
    A. X - 7
    Explanation
    To simplify the expression (x^2 - 2x - 35) / (x + 5), we can factor the numerator as (x - 7)(x + 5). Then, we can cancel out the common factor of (x + 5) in the numerator and denominator, leaving us with the simplified expression x - 7.

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  • 5. 

    Factor m^2 + 9m + 14 completely.

    • M(m + 23)

    • (m + 14)(m + 1)

    • (m + 7)(M + 2)

    • M(m + 9) + 14

    Correct Answer
    A. (m + 7)(M + 2)
    Explanation
    The given expression is a quadratic trinomial in the form of m^2 + 9m + 14. To factor it completely, we need to find two binomials whose product equals the given trinomial. By using the factoring method, we can determine that the correct factorization is (m + 7)(m + 2).

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  • 6. 

    • A

    • B

    • C

    • D

    Correct Answer
    A. D
  • 7. 

    Simplify (t^2 + t -6) / (t^2 -7t + 10).  Assume that the denominator is not equal to sero.

    • (t + 3) / (t - 5)

    • (t - 2) / (t + 5)

    • (t - 3) / (t + 5)

    • (t + 3) / (t + 5)

    Correct Answer
    A. (t + 3) / (t - 5)
    Explanation
    The given expression can be simplified by factoring the numerator and the denominator. The numerator can be factored as (t + 3)(t - 2), and the denominator can be factored as (t - 5)(t - 2). By canceling out the common factor of (t - 2), we are left with (t + 3)/(t - 5).

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  • Current Version
  • Jun 09, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Nov 21, 2008
    Quiz Created by
    Dinkinsk

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