Page 28 - 新思维数学活动用书7 样章
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2.3  Collecting like terms




                     2  Look at these statements. Three of the statements are true and three of
                         the statements are false.
                         Write ‘true’ or ‘false’ for each statement. If the statement is false, write the
                         correct statement.
                         a  b + 2b = 3b                       b  4d + 2d = 5d

                         c  6f + 4f = 11f                     d  c + c + c = 3c
                         e  h + 3h + 5h = 8h                  f  7v + 2v + v = 10v
                     3  Each of these expressions simplifies to 3s or 5s.
                         For each rectangle A to E, write down whether it simplifies to:          Tip

                         i  3s or ii  5s.                                                         Think of s as a
                         The first one has been done for you: A and ii.
                                                                                                  strawberry. For

                            9s – 4s       5s – 2s        8s – 5s        6s – s       10s – 5s     example, for A,
                                                                                                  you start with
                              A              B             C             D              E         nine, you eat four,

                     4  Look at these statements. Three of the statements are true and three of   so you have five
                         the statements are false.                                                strawberries left.
                         Write ‘true’ or ‘false’ for each statement. If the statement is false, write the

                         correct statement.
                         a  7b − 2b = 3b                      b  4d − 2d = 2d
                         c  6f − f = 6                        d  8c − 2c − 3c = 3c

                         e  9h − h − h = 7h                   f  10v − 6v − v = 4v
                     5  Look at these expressions. Some of the expressions can be simplified and   Tip
                         some cannot be simplified. Copy the expressions.                         You can simplify
                         If the expression can be simplified, write a tick and work out the       only when

                         simplified answer.                                                       the letters are
                         If the expression cannot be simplified, write a cross.                   the same.
                         For example:      4m + 2m ✓ 6m
                                           2a + 3b ✗

                         a  5p + p          b  6p + 2         c  5n − 2w         d  8u − u


                     Practice
                     6  Pedro has striped, checked and spotted bricks.
                         The length of a striped brick is x.

                         The length of a checked brick is y.       x        y              z
                         The length of a spotted brick is z.







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