Page 29 - 新思维数学活动用书8 样章
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2   Expressions, formulae and equations




                   2  Complete these flow charts to work out the value of x.
                      a  2x + 1 = 11              x        × 2              + 1       11


                                  x =                      ÷ 2      10      – 1       11


                      b  5x − 2 = 18              x        × 5              – 2       18


                                  x =                      ÷ 5              + 2       18

                      c  3(x + 4) = 21            x        + 4              × 3       21



                                     x =                   – 4              ÷ 3       21

                      d    x  −=                  x        ÷ 4              – 1       5
                              15
                           4
                                x =                                                   5


                   3  The diagram shows a rectangle.
                                   3x + 2
                       y
                       2  +5                     15
                                     26

                      Complete the workings to find the values of x and y.                   Tips
                      3x + 2 = 26          x        × 3              + 2       26
                                                                                             The lengths of

                                                                                             the rectangle
                              x =                   ÷ 3               – 2      26            are the same, so

                                                                                             3x + 2 = 26.
                       y +=                 y       ÷ 2              + 5       15
                          515
                       2                                                                     The widths of
                                                                                             the rectangle
                             y =                    × 2               – 5      15            are the same, so

                                                                                             y  +=
                                                                                                 5 15.
                                                                                             2



















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