Alg I B STD Ch 8, 9 Mc Test Part I

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Alg I B STD Ch 8, 9 Mc Test Part I - Quiz

The symbol '^' means "to the power of" so that B2 is written as B^2.

The '/' symbol is a fraction bar, so that the fraction "two-thirds" is written 2 / 3.

Remember, the exponent only belongs to the number it is directly attached to.
In the term 7a^3 b^4 the exponent 3 only goes with the 'a'


Questions and Answers
  • 1. 

    Rewrite using only positive exponents:5ab4c-2

    • A.

      5 a b^4 c^2

    • B.

      5 a b^4 / c^2

    • C.

      5^4 a^4 b^4 / c^2

    • D.

      1 / 5ab^4 c^2

    Correct Answer
    B. 5 a b^4 / c^2
  • 2. 

    Rewrite the expression using only positive exponents:7A-1 / B-2

    • A.

      7B^2 / A

    • B.

      B^2 / 7A^1

    • C.

      7A^1 / B^2

    • D.

      7AB^2

    Correct Answer
    A. 7B^2 / A
  • 3. 

    Evaluate: 74 / 75

    • A.

      7^20

    • B.

      7

    • C.

      7^-1

    • D.

      7^9

    Correct Answer
    C. 7^-1
  • 4. 

    5.3 x 105 is written as 5.3 x 10^5Write the following in scientific notation: 7,090,000

    • A.

      7.9 x 10^6

    • B.

      7.09 x 10^4

    • C.

      7.0 x 10^6

    • D.

      7.09 x 10^6

    Correct Answer
    D. 7.09 x 10^6
  • 5. 

    Rewrite in decimal form: 2.13 x 10-5

    • A.

      -213,000

    • B.

      0.0000213

    • C.

      -0.0000213

    • D.

      0.00000213

    Correct Answer
    B. 0.0000213
  • 6. 

    Rewrite in decimal form: 4.39 x 107

    • A.

      4,390,000,000

    • B.

      43,900,000

    • C.

      4.390000000

    • D.

      4,390,000

    Correct Answer
    B. 43,900,000
  • 7. 

    Solve for xx2 = 121

    • A.

      -11, +11

    • B.

      -60.5, +60.5

    • C.

      -242, +242

    • D.

      -12, +12

    Correct Answer
    A. -11, +11
  • 8. 

    Solve the equation for x:7x2 - 4 = 100+ / -  means plus/minus

    • A.

      + / - 18.25

    • B.

      + / - 13.71

    • C.

      + / - 3.70

    • D.

      + / - 3.85

    Correct Answer
    D. + / - 3.85
  • 9. 

    An object is dropped from a height of 's' feet.  The objects height at any time 't', in seconds, is given by the model h = -16t2 + 200.  If a rock is dropped from a height of 200 feet, how long until it hits the ground?

    • A.

      12.5 seconds

    • B.

      .08 seconds

    • C.

      3.5 seconds

    • D.

      6.25 seconds

    Correct Answer
    C. 3.5 seconds
  • 10. 

        Find the vertex of the following quadratic equation: y = 4x2 - 16x - 5

    • A.

      (2, -21)

    • B.

      (-2, 43)

    • C.

      (0.5, -12)

    • D.

      (-0.5, 4)

    • E.

      There is no vertex. This is the only quadratic in the universe that does not have a vertex.

    Correct Answer
    A. (2, -21)
  • 11. 

    Does this quadratic open upwards, or does it open downwards?y = -5x2 + 8x -99

    • A.

      This quadratic opens up.

    • B.

      This quadratic opens down.

    Correct Answer
    B. This quadratic opens down.
  • 12. 

    Does this quadratic open up or does it open down?y = 99x2 - 88x - 77

    • A.

      This quadratic opens up.

    • B.

      This quadratic opens down.

    • C.

      This quadratic opens to the left.

    • D.

      This quadratic opens to the right.

    • E.

      Quadratic? Whats a quadratic? Never heard of it.

    Correct Answer
    A. This quadratic opens up.
  • 13. 

    If an object is dropped from a height of 70 feet, the function h = -16t2 + 70 gives' the height of the object after 't' seconds.  How long does it take for an object to hit the ground?  (when it hits the ground, d is equal to zero)

    • A.

      4.3 seconds

    • B.

      4.4 seconds

    • C.

      2.9 seconds

    • D.

      2.1 seconds

    Correct Answer
    D. 2.1 seconds
  • 14. 

        How does the 'a' variable affect the parabola of y = ax2 + bx + c?Which statement is true?

    • A.

      If A is positive, the parabola opens upwards.

    • B.

      If A is negative, the parabola opens upwards.

    • C.

      If A is zero, the parabola opens to the side.

    Correct Answer
    A. If A is positive, the parabola opens upwards.
  • 15. 

    Which statement is false?

    • A.

      8 x -9 x 2 = -12 x 12

    • B.

      4 + 3 x 6 = 2 x 11

    • C.

      2 - 4 + 5 = 5 + 4 - 2

    • D.

      33 x 3 = 102 - 3

    Correct Answer
    C. 2 - 4 + 5 = 5 + 4 - 2
  • 16. 

    Solve by using the quadratic formula: y = 4x2 + 16x + 11

    • A.

      -.88 and -3.11

    • B.

      -.89 and -3.12

    • C.

      .88 and 3.11

    • D.

      2.24 and 5.45

    Correct Answer
    A. -.88 and -3.11
  • 17. 

    Which phrase does NOT complete the sentence:"Every time you draw a graph...

    • A.

      ... label the x- and y-axis."

    • B.

      ... used a colored pencil."

    • C.

      ... put some numbers on the axis."

    Correct Answer
    B. ... used a colored pencil."
  • 18. 

    Which statement is true?

    • A.

      There are two vertex on every parabola.

    • B.

      The axis of symmetry tells you where the quadratic crosses the x-axis.

    • C.

      An x-y-table only helps you to graph an equation sometimes.

    • D.

      The vertex is the highest or lowest point of a parabola.

    Correct Answer
    D. The vertex is the highest or lowest point of a parabola.
  • 19. 

    The formula for the path of a projectile is h = -4.9t2 + vt + s, where h is the height in meters, t is the time in seconds, and v is the initial velocity in meters per second, and s is the initial (starting) height.  A rocket is fired from a height of 1.3 meters at an initial velocity of 45 meters per second.  How long until the rocket hits the ground again?

    • A.

      About 3 seconds.

    • B.

      About 7 seconds.

    • C.

      About 9 seconds.

    • D.

      About 13 seconds.

    Correct Answer
    C. About 9 seconds.
  • 20. 

    Identify the statement that is false.

    • A.

      The discriminant is b^2 -4ac

    • B.

      The vertex formula is -2a / b

    • C.

      Every x-intercept has a y-coordinate of zero.

    • D.

      The origin is where the x-axis and the y-axis meet.

    Correct Answer
    B. The vertex formula is -2a / b
  • 21. 

    Most difficult math problems can be reduced to small, simple math problems.  Then, solving the simple math problems becomes easier than trying to understand or solve the big problem.

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
  • 22. 

    The model h = -16t2 + vt + s can be used to find the height of an object that is thrown. 'h' represents the height of the object, 't' represents the time, 'v' represents the initial velocity, and 's' represents the initial height. Choose the model that fits the following description: A cannonball is shot from a cannon with an initial velocity of 245 feet per second.  The cannon sits 3 feet above the ground.

    • A.

      H = -16t^2 + vt + s

    • B.

      H = -16t^2 - 245t + 3

    • C.

      H = 16t^2 + 245t + 3

    • D.

      H = -16t^2 + 3t + 245

    • E.

      H = -16t^2 + 245t + 3

    Correct Answer
    E. H = -16t^2 + 245t + 3
  • 23. 

    A population of bacteria live in a science lab. The population doubles every 15 minutes.  At 3:00 there are 4 bacteria. How many bacteria will there be at 4:15?

    • A.

      128

    • B.

      64

    • C.

      20

    • D.

      132

    • E.

      256

    Correct Answer
    A. 128
  • 24. 

    In the land of Mathlandia, there are Mendis, Hagans, and Gorokans. All Mendis are also Hagans, and no Hagans are Gorokans.  Can a Mendis be a Gorokans?

    • A.

      Yes

    • B.

      No

    • C.

      Maybe

    Correct Answer
    B. No
  • 25. 

    There are 25 questions on this test. All questions are worth the same point value.  If you got 22 right, what percent would you get on this test.

    • A.

      97%

    • B.

      80%

    • C.

      88%

    • D.

      90%

    Correct Answer
    C. 88%

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Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Jan 10, 2013
    Quiz Edited by
    ProProfs Editorial Team
  • Feb 26, 2010
    Quiz Created by
    Mr.r.gaffney

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