Page 14 - 新思维数学活动用书8 样章
P. 14

2.1  Constructing expressions




                     2  This box contains some books.                                              When you double the
                         I double the number of books in the box.                                  number, you × by 2.
                         Copy and complete the working to show how many
                         books are in the box now, when the box started with
                         a  3 books: 3 × 2 =          b  5 books: 5 × 2 =

                         c  8 books: 8 ×     =        d  x books: x ×     = 2x
                         e  y books: y ×     =        f   b books: b ×    =

                     3  This tin contains some sweets.                                             When you halve the
                         I halve the number of sweets in the tin.                                  number, you ÷ by 2.
                         Copy and complete the working to show how many

                         sweets are in the tin now, when the tin started with
                         a  4 sweets: 4 ÷ 2 =               b  10 sweets: 10 ÷ 2 =
                                                                                 x
                         c  12 sweets: 12 ÷     =           d  x sweets: x ÷    =
                                                                                 2

                         e  y sweets: y ÷    =              f   s sweets: s ÷    =
                                               2
                     4  Zalika has a box that contains c one-dollar coins.
                         Choose the correct expression from the cloud to show            c
                         the total number of one-dollar coins in the box when            2
                         a  she takes 2 out                                             c − 2
                         b  she puts 2 more in                                          c + 2

                         c  she takes out half of the coins                              2c
                         d  she doubles the number of coins in the box.
                     5  Match each description on the left with the correct expression on

                         the right.
                         The first one is done for you:         A and v
                         A          Multiply n by 3 and subtract 8       i   3(n + 8)

                         B          Add 8 and n then multiply by 3       ii  8(n + 3)
                         C            Multiply n by 3 and add 8          iii  3(n − 8)

                         D          Add 3 and n then multiply by 8       iv  8(n − 3)
                         E        Subtract 3 from n then multiply by 8   v    3n − 8

                         F        Subtract 8 from n then multiply by 3   vi   3n + 8













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