Page 13 - 新思维数学活动用书9 样章
P. 13

2    Expressions and formulae




                   2  Match each expression, A to F, with the correct value, i to vi,          Tip
                      when a = 8 and b = 4.
                                                                                               Remember, ab
                       A  a + b     B  a − b     C  ab      D   a     E   b    F  2a + b       means a × b.
                                                                b
                                                                          a

                         i  32         ii   1      iii  12     iv  20       v  4       vi  2
                                           2
                   3  Copy and complete the workings to find the value of each
                      expression when x = 6 and y = −2.                                  Tip

                      a  x + y = 6 + −2 =     −     =                                    Remember:
                      b  x − y = 6 − −2 =     +     =                                    + − → − and − − → +
                      c  x  + y  = 6  + (−2)  =    +    =                                So:
                           2
                                2
                                    2
                                           2
                      d  3x + y = 3 × 6 + −2 =     −    =                                + −2 is overall −2;
                      e  x + 4y = 6 + 4 × −2 =     −    =                                −2 × −2 is overall +4
                      f  3x + 4y = 3 × 6 + 4 × −2 =     −    =
                   4  Work out the value of each expression when a = −3 and b = 5.
                      a  a + b                         b  3a − b                       c  20 − ab

                      d  a  + 4                        e   7b                          f  b  − 25
                                                                                            3
                           2
                                                           5
                   Practice
                   5  Work out the value of each expression when a = 2, b = −3, c = 4 and d = −5.
                      a  a + 2b                        b  bd − 10                      c  4b + 2a

                      d  ab + cd                       e  cd   + ab                    f   d 2  − a
                                                             2
                      g  20 − a 3                      h   bc + d
                                                           a
                   6  This is part of Malik’s homework.



                           Question
                           Work out the value of each expression when x = –4
                           and y = –1.

                           a  xy  – 3x       b  x  –          x
                                 2
                                                          3
                                                             2y


















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