Page 16 - 新思维数学活动用书9 样章
P. 16

2.2  Constructing expressions



                         2.2  Constructing expressions



                     In algebraic expressions, you use letters to represent unknown             Key word

                     numbers. When you are asked to write an expression, think how you
                     would write it with numbers first.                                         in terms of



                     Exercise 2.2                                                               Tip

                                                                                                In Question 1a
                     Focus                                                                      4 + 2 can be

                     1  Add 2 to each of these numbers. Show your working.                      simplified to 6.

                         Parts a and c have been done for you.
                         a  4       4 + 2 = 6              b  10      ...............................  Tip
                         c  x       x + 2                  d  z       ...............................
                     2  Subtract 3 from each of these numbers. Show your working.               In Question 1c
                                                                                                x + 2 cannot be
                         a  5             b  8             c  y             d  z

                     3  Multiply each of these numbers by 5. Show your working.                 simplified so
                                                                                                leave it as x + 2.
                         a  2             b  4             c  a             d  b
                     4  Divide each of these numbers by 5. Show your working.                   Tip

                         a  15            b  30            c  a             d  b
                     5  Match each statement with the correct expression.                       In Question 3c
                         The first one has been done for you: A and iii.                        you can simplify
                         I think of a number n and...                                           a × 5 to 5a.

                          A     I add 15                               i      15n
                          B     I subtract 15                          ii    3n + 5             Tip
                          C     I multiply by 15                       iii   n + 15             In Question 4c
                          D     I divide by 15                         iv    5n − 3             you can simplify
                                                                                                         a
                          E     I subtract the number from 15          v       n + 3            a ÷ 5 to  .
                                                                                                         5
                                                                              5
                          F     I multiply by 3 then add 5             vi    n − 15
                          G     I multiply by 5 then subtract 3        vii     n
                                                                               15
                          H     I divide by 5 then add 3               viii   15 − n














                                                                                                                   15
   11   12   13   14   15   16   17   18   19   20   21