Integral Calculator Quiz Practice Set

16 Questions

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Integral Calculator Quiz Practice Set

This test allows you to determine how much high school math you know based on the math topics learned in high school (grades 9-12). The test includes questions from algebra, geometry, trigonometry, pre-calculus, and calculus. The questions get progressively harder, and calculators are not required to solve any question. A TI-84 calculator is recommended. The test is timed, so use your time wisely!


Questions and Answers
  • 1. 
    Integrate 1 / (x2 + 3x + 2).
  • 2. 
    Factor x2 - 2x - 24.
    • A. 

      X(x-6)

    • B. 

      X(x-12)

    • C. 

      (x-4)(x-6)

    • D. 

      (x-4)(x+6)

    • E. 

      (x+4)(x-6)

  • 3. 
    Factor 6x2 + 17x + 12.
    • A. 

      (3x+3)(2x+4)

    • B. 

      (2x+3)(3x+4)

    • C. 

      (3x-3)(3x-4)

    • D. 

      (2x+3)(3x+2)

    • E. 

      (2x-3)(3x-2)

  • 4. 
    Solve the system of linear equations:x + 2y = 93x - 4y = - 33
    • A. 

      X = 3, y = -6

    • B. 

      X = 3, y = 6

    • C. 

      X = 2, y = 7

    • D. 

      X = -3, y = 6

    • E. 

      X = 9, y = 12

  • 5. 
    Find the equation for a line that passes through the two points (3,4) and (1,-10).
    • A. 

      Y = 7x - 17

    • B. 

      Y = 7x + 17

    • C. 

      Y = x/7 - 17

    • D. 

      Y = x/7 + 10

    • E. 

      Y = x/7 - 10

  • 6. 
    Find the exterior angle of a heptagon.
    • A. 

      30 degrees

    • B. 

      49 degrees

    • C. 

      51 degrees

    • D. 

      60 degrees

    • E. 

      129 degrees

  • 7. 
    Triangle ABC is similar to DEF. The length of EF is 7 inches, while the length of BC is 5 inches. If the length of AB is 16 inches, what is the length of DE?
    • A. 

      22.4 inches

    • B. 

      23.0 inches

    • C. 

      20.5 inches

    • D. 

      25.3 inches

    • E. 

      19.5 inches

  • 8. 
    Find the volume of a sphere that has a diameter of 5 meters.
    • A. 

      8.3π meters^3

    • B. 

      33π meters^3

    • C. 

      166π meters^3

    • D. 

      20.8π meters^3

    • E. 

      6.7π meters^3

  • 9. 
    Two lines, AB and CD, intersect at point E. If angle AED is 127 degrees, what is angle BED + angle AEC?
    • A. 

      127 degrees

    • B. 

      26.5 degrees

    • C. 

      53 degrees

    • D. 

      106 degrees

    • E. 

      Not enough information is given to solve the problem.

  • 10. 
    Sin(π/3) can be expressed alternatively as
    • A. 

      Sin(π/3) cos(π/6)

    • B. 

      2 sin(π/3) cos(π/6)

    • C. 

      2 sin(π/6) cos(π/6)

    • D. 

      2 sin(π/6)

    • E. 

      None of the above.

  • 11. 
    Tan(π/2) is equal to
    • A. 

      0

    • B. 

      Sqrt(2) / 2

    • C. 

      3 sqrt(2) / 2

    • D. 

      1 / 2

    • E. 

      None of the above.

  • 12. 
    What is the limit of the function y = 1 / (x - 4) as x approaches 4?
    • A. 

      0

    • B. 

      -1/4

    • C. 

      + infinity

    • D. 

      - infinity

    • E. 

      No limit

  • 13. 
    What is the slope of the tangent line of y = x3 at x = 2?
    • A. 

      M = 4

    • B. 

      M = 12

    • C. 

      M = -1/12

    • D. 

      M = 16

    • E. 

      M = -1/16

  • 14. 
    What is the second derivative of y = 3x5 - 4x4 + 2x2 + 6?
    • A. 

      Y = 20x^3 + 48x^2 + 4

    • B. 

      Y = 60x^3 + 48x^2 - 4

    • C. 

      Y = 12x^4 - 4x^3 + 2x + 2

    • D. 

      Y = 15x^4 - 16x^3 + 4x

    • E. 

      Y = 60x^3 - 48x^2 + 4

  • 15. 
    What is the derivative of y = sin (2x + 5)?
    • A. 

      Cos (2) + 5

    • B. 

      Cos (2x + 5)

    • C. 

      2 cos (2x + 5)

    • D. 

      2 cos (2x) + 5

    • E. 

      -2 cos (2x + 5)

  • 16. 
    Integrate (x+4)2.
    • A. 

      X^3/3 + 4x^2 + 16x + c

    • B. 

      4x^3 + 4x^2 + c

    • C. 

      X^3 - 4x^2 + x + c

    • D. 

      (x + 4)^2 + c

    • E. 

      2(x + 4) + c