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2   Expressions and formulae



                   You might not be surprised that computer

                   programmers, scientists, engineers and
                   statisticians all use algebra in their jobs.
                   But you might be surprised at some other jobs
                   that also need algebra.

                   Cooks and chefs prepare food for other
                   people. They work in all sorts of places, from
                   cafés and restaurants to international business
                   headquarters. They need to plan menus and

                   adapt recipes for the number of people they
                   are feeding. They must work out quantities
                   of ingredients, their cost and the price their
                   customers will pay for the food. They use

                   algebra when they deal with ingredients
                   and prices.
                   Farm and ranch managers deal with the day-
                   to-day activities of a ranch or farm. They use

                   algebra when they manage the farm accounts
                   and write yearly business plans. If they grow
                   crops, they need to plan how much fertiliser
                   to apply and when to put it on the crops. They

                   might use quite complicated algebra, as they need to consider lots of different things such as soil
                   type, crop to be grown, type of fertiliser, cost of fertiliser, etc.
                   Whatever job you do, you never know when algebra will be there to help you!




                       2.1  Substituting into expressions





                    In this section you will …                                               Key word

                    •    use the correct order of operations in algebraic                    counter-example
                         expressions.

                                                                                             Tip
                   When you substitute numbers into expressions, remember the correct
                   order of operations:                                                      Examples of
                   •    Work out brackets and indices before divisions and multiplications.  indices are 4 , 7 ,
                                                                                                           2
                                                                                                              3
                   •    Always work out additions and subtractions last.                     (−2)  and (−3) .
                                                                                                            3
                                                                                                  2

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