#Mathbloglagcc

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Practice Text

1.         Multiply and Simplify:           (a)  (4x -5)2                           

                                                              (b) (2x-5)(4x2 + 10x +25)

  2.         Divide                          (2x3 – 13x2 + 16x+ 9)   (x +5)

  3.         Find the equation of the line through (-4,0) and

            perpendicular to 2y = 4x – 6.

  4.         Given f(x) = x2  and g(x) = 3x + 10, compute the following

              (a)  f(-2)                                              (b) g(-2)

            (c)  f(-2) + g(-2)                                  (d) f(-2) g(-2)

  5.         Compute the composition f(g(5)) if f    f(x)= x2 -2x   

                and g(x) = 3x-5

  6.         Find the average rate of change of

            the function f over the indicated interval.

                                                            f(x) = 4x2 – 5x  ;  [1,2]

  7.         The price of a new item was $1000.

            After 5 years, the price dropped to $850. Assume the price decreased

            linearly. Let C represents the cost function after x years.

                          (a) Find a linear function (C = ax+b) for the price after x years.

            (b) Interpret the meaning of the values of a and b.

            (c) Use the linear function to find the cost after 7years.

  8.         Find the values of a and b in f(x) = ax + b, if f(-1) = 9 and f(2) = 3

  9.         In 2008 the cost of a new electronic game was $699.

            After 2 years, the cost increased to $899.

            Assume the cost increased linearly.

            Let C represents the cost function at any time x years.

                          (a) Find a linear function (C = ax+b) for the cost after x years.

            (b) Interpret the meaning of the values of a and b

            (c) Use the linear function to find the cost after 5years.