Page 17 - Pharmacy College Admission Test Review Book
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                                         Quantitative Ability Answers


            Important Mathematical Formulas:

                    n       n!
            1.     ( ) =
                    r     r!(n−r)!

                           n!
            2.     nPr  =
                          (n−r)!

                       2
            3.     If ax  + bx + c = 0, a ≠ 0, the following equation should be used:

                              2
                       −b ± √b −4ac
                   x =
                            2a

                       2
                                             2
            4.     If ax  + bx + c = 0, a ≠ 0, and b -4ac < 0, then the following equation should be used:

                              2
                       −b ± i √b −4ac
                   x =
                            2a

                        2
                     2
            5.     (a - b ) = (a - b)(a + b)
                             2
                         2
            6.     (a + b)  = a  + 2ab + b 2
                            2
                        2
            7.     (a - b)  = a  - 2ab + b 2

            8.     Distance formula: To find the distance between two points on the line,

                                        2
                                                    2
                   d (P, Q) = √(x − x ) + (y − y )
                                                   1
                                              2
                                      1
                                 2

            9.     Midpoint formula:

                   M = ( x 2 + x 1 y 2 + y 1   )
                               ,
                           2     2

            10.    Square:

                   A        x         B
                                                                      2
                                                         A. Area (A) = x , where x = side of square
                                                         B. Perimeter (P) = 4x, where x = side of square
                            P                            C. The diagonal of every square bisect each other, therefore
                                       x                 AP = PD and CP = PB
                                                         D. The diagonal of every square are congruent, therefore AD
                                                         = BC
                   C                  D








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