Page 32 - 新思维数学活动用书7 样章
P. 32

2.4  Expanding brackets




                     Exercise 2.4


                     Focus

                     1  Copy and complete the boxes to work out the answers.
                         a  5 × 13                            b  2 × 38

                               ×     10     3                        ×     30    8

                               5                                     2
                             5 × 13 =    +    =                   2 × 38 =    +    =

                         c  7 × 21                            d  4 × 17
                               ×     20     1                        ×     10    7

                               7                                     4

                             7 × 21 =    +    =                   4 × 17 =    +    =
                     2  Simplify these expressions.                                             Tip
                         a  3 × x           b  4 × p          c  9 × f           d  5 × m       3 × x can be
                     3  Copy and complete the boxes to simplify these expressions.              written simply

                         The first one has been done for you.                                   as 3x.
                         a  2(x + 3)                          b  3(x + 4)

                               ×     x      3                        ×     x     4

                               2     2x     6                        3
                             2(x + 3) = 2x + 6                    3(x + 4) =    +

                         c  5(m + 1)                          d  4(n + 2)
                               ×     m      1                        ×     n     2

                               5                                     4

                             5(m + 1) =    +                      4(n + 2) =    +
                     4  Copy and complete the boxes to simplify these expressions. The first one
                         has been done for you.
                         a  3(x − 2)                          b  5(x − 6)

                               ×     x     −2                        ×     x     −6

                               3     3x    −6                        5
                             3(x − 2) = 3x − 6                    5(x − 6) =    −












                                                                                                                   31
   27   28   29   30   31   32   33   34   35   36   37