Chapter 3 & 5 Study Guide

15 Questions

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Chapter 3 & 5 Study Guide

MAT 150


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 the square root method: 
    • A. 

      9 and 1

    • B. 

      9

    • C. 

      9 and -1

    • D. 

      629

  • 5. 
    Solve using the quadratic formula:  Answer Choices: A.  B.  C.  D. 
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 6. 
    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

  • 7. 
    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

  • 8. 
    Using the table on page 235 #50 in your textbook, find a quadratic model that fits the data in the table with x = 0 in 2000.
    • A. 

      Y = -0.005x^2 + 0.754x + 8.512

    • B. 

      Y = 3.12x - 2.54

    • C. 

      Y = -0.004x^2 - 0.754x + 8.512

    • D. 

      Y = -16x^2 + 3.243x + 15.7

  • 9. 
    Simplify
    • A. 

      4x^3/y

    • B. 

      4x/y

    • C. 

      X^3y/4

    • D. 

      4y/x^3

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

      Shift 3 left and 2 down

    • B. 

      Shift 3 right and 2 up

    • C. 

      Shift 3 up and 2 right

    • D. 

      Shift 3 down and 2 right

  • 11. 
    Rewrite  as a single logarithm. Answer Choices: A.  B.  C.  D. 
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 12. 
    Solve for x: 
    • A. 

      3

    • B. 

      1.442

    • C. 

      0.815

    • D. 

      2

  • 13. 
    Solve for x: 
    • A. 

      20

    • B. 

      100

    • C. 

      1000

    • D. 

      26.853

  • 14. 
    Solve for x: 
    • A. 

      1/3

    • B. 

      3

    • C. 

      1/9

    • D. 

      27

  • 15. 
    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 1995.
    • A. 

      120 years

    • B. 

      76 years

    • C. 

      78 years

    • D. 

      80 years