Page 20 - 新思维数学学生用书9 样章
P. 20

2                          Expressions and



                                              formulae







                       Getting started


                       1    Sara thinks of a number, x. She divides the number by 3, then adds 7.
                            Write an expression for the number Sara gets.
                       2    Copy and complete


                                                                                                   5
                            a    3 × 3 =  3                b     5 12  = 5                c  ( ) =     7
                                       4
                                  2
                                                                                                  2
                                                                                                7
                       3    Expand                               5 9
                            a    x(x + 2)                  b    3y(4y – 7w)
                       4    Factorise
                            a    4x + 12                   b    4x  + 14x
                                                                   2
                       5    Work out

                                                                  1
                            a    3  +  2                   b    2 −  1  3
                                 4   3                            2    10
                       6    a    Use the formula F = ma to work out F when m = 10 and a = 2.5.

                            b    Rearrange the formula F = ma to make a the subject.
                            c    Use your formula in part b to work out a when F = 72 and m = 12.
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