Business Math MATH 1324

North Lake College

David Katz, instructor

Section by Section List of Test Topics For Exam #2 (Chapter 2)

The exam will consist of 10 free response questions from this list of 26 topics from your homework sections.

  1. (2-1) Solve a quadratic equation by the square-root method

  2. (2-1) Solve a quadratic equation by factoring a trinomial with leading coefficient ¹ 1

  3. (2-1) Solve a quadratic equation by factoring the difference of two squares

  4. (2-1) Solve a quadratic equation by the quadratic formula

  5. (2-1) Reduce a rational equation to a quadratic by multiplying by a common denominator (Hint: be sure to check your answers!)

  6. (2-1) Identify when a quadratic equation has no real solutions (Hint: use the discriminant as described on p.146)

  7. (2-1) Understand that factoring and solving a quadratic equation is synonymous with finding the zeros of the quadratic equation

  8. (2-1) Find the zero-values or zeros of an applied problem with a quadratic equation

  9. (2-1) Specify an appropriate domain for an applied problem with a quadratic equation

  10. (2-2) Determine whether the graph of a quadratic function opens up or down

  11. (2-2) Determine the x-intercepts (aka real zeros) of the graph of a quadratic function

  12. (2-2) Compute the average rate of change for a quadratic function over the given x-values

  13. (2-2) Calculate the coordinates of the vertex of the graph of a quadratic function

  14. (2-2) Given the zeros of a quadratic function, write the factors of that function

  15. (2-2) In an applied problem, use the vertex of a quadratic function to determine the maximum or minimum value of that function

  16. (2-3) Given the supply and demand functions, solve for the equilibrium point

  17. (2-3) Given the revenue and cost functions, solve for the break-even point

  18. (2-3) Create a profit function based on the revenue and cost functions (Hint: P = R - C)

  19. (2-4) Recognize the basic shapes of the basic functions (p.171)

  20. (2-4) Determine the basic shape of a polynomial based on its degree (p.173)

  21. (2-4) Evaluate a piece-wise function

  22. (2-4) Classify a function as a polynomial or rational function

  23. (2-4) Specify the restrictions, if any, on the domain of a rational function

  24. (2-4) Specify the vertical and horizontal asymptotes, if any, of a rational function

  25. (2-4) Evaluate a piece-wise function, rational function, and/or a polynomial function in an applied problem

  26. Remember your business vocabulary from Chapter 1:

marginal & fixed cost, equilibrium price, break-even point, profit = revenue - cost

 

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