Chapter 3 & 5 Test

16 Questions

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MAT 150 Algebra


Questions and Answers
  • 1. 
    Give the coordinates for the vertex of the quadratic function .
    • A. 

      (1, -27)

    • B. 

      (-1, -15)

    • C. 

      (3, -15)

    • D. 

      (1, 27)

  • 2. 
    Give the coordinates of the vertex for the quadratic function
    • A. 

      (7, -2)

    • B. 

      (-7, 2)

    • C. 

      (-7, -2)

    • D. 

      (7, 2)

  • 3. 
    Solve for x using factoring: 
    • A. 

      5 and 4

    • B. 

      -2 and -3

    • C. 

      -4 and -1

    • D. 

      4 and 1

  • 4. 
    Solve for x using factoring: 
    • A. 

      1/2 and -2/3

    • B. 

      -1/2 and 2/3

    • C. 

      -2 and 1

    • D. 

      2 and -1

  • 5. 
    Solve for x using the square root method: 
    • A. 

      9 and 1

    • B. 

      9

    • C. 

      9 and -1

    • D. 

      629

  • 6. 
    Solve using the quadratic formula:  Answer Choices: A.  B.  C.  D. 
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 7. 
    The profit from producing and selling x units of product is given by the function  dollars.  What is the maximum profit that can be made producing the units of product?
    • A. 

      $2050

    • B. 

      $4100

    • C. 

      $120,000

    • D. 

      $1,140,750

  • 8. 
    If a ball is dropped from the top of a 400-ft-high building, its height S in feet is given by , where t is in seconds.  In how many seconds will it take the ball to hit the ground?
    • A. 

      400 seconds

    • B. 

      25 seconds

    • C. 

      5 seconds

    • D. 

      5 and -5 seconds

  • 9. 
    Simplify
    • A. 

      -9x^6y^3

    • B. 

      9x^5y^2

    • C. 

      9x^6y^2

    • D. 

      -9x^5y^2

  • 10. 
    Consider the graph of the function , how will  affect the graph?
    • A. 

      Shift 3 left and 2 up

    • B. 

      Shift 3 right and 2 up

    • C. 

      Shift 3 up and 2 right

    • D. 

      Shift 3 down and 2 right

  • 11. 
    Sales of IPads  The iPad has become the most quickly adopted nonphone consumer electronics product in history, topping the DVD player.  Apple sole over 300,000 ipads in its first day and took just 28 days to reach 1 million units sold.  Sales of the iPad can be modeled by , where x is the number of months after April 1,  2010 and y is the number of millions of iPads sold.  According to this model, how many iPads would be sold by August 2010?
    • A. 

      324 million

    • B. 

      473 million

    • C. 

      2.4 million

    • D. 

      14.5 million

  • 12. 
    Rewrite  as a single logarithm. Answer Choices: A.  B.  C.  D. 
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 13. 
    Solve for x: 
    • A. 

      1.087

    • B. 

      4/3

    • C. 

      1.262

    • D. 

      2

  • 14. 
    Solve for x: 
    • A. 

      20

    • B. 

      100

    • C. 

      1000

    • D. 

      26.853

  • 15. 
    Solve for x: 
    • A. 

      1/3

    • B. 

      3

    • C. 

      1/9

    • D. 

      27

  • 16. 
    Life Span  Based on data from 1920 and projected to 2020, the expected life span of people in the United States can be described by the function , where x is the number of years from 1900 to the person's birth year.  Estimate the life span for someone born in 2014.
    • A. 

      120 years

    • B. 

      6 years

    • C. 

      79 years

    • D. 

      80 years