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Algebra


             Chapter Four






             Algebra
          FOR ONLINE READING ONLY
     Mathematics for Secondary Schools  Introduction




           Skills in solving problems systematically, logically, and making connections between
           variables  are  essential  in  daily  life.  Such  skills  can  be  developed  and  applied  by
           learning algebra. In this chapter, you will learn about binary operations, quadratic
           expressions, and solving quadratic equations. The competencies developed will enable
           you to solve daily life problems such as budgeting, comparing prices, planning for a
           journey and figuring proportions in cooking. Also, algebra is useful in other subjects
           and fields such as science, engineering and technology and many other applications.



                       Think

                       The role algebra plays in real life.



           Binary operations                          The instructions may be given in words or
                                                      by symbols. Binary operations may involve
           A binary operation is a rule for combining
           two quantities to produce a unique         the basic arithmetic operations such as
           quantity from the same set. It makes use   addition (+), subtraction (–), multiplication
           of  symbols  that  represent one  or  more   (×), and division (÷) depending on the
           operations.                                given definition. Engage in Activity 4.1 to
                                                      learn more on binary operations.
           The  symbols used in  binary  operations
           are not standard, this means, they do not
           represent a specific operation. A symbol      Activity 4�1: Understanding binary
                                                                     operations in real life


           may  be  used in  a  certain  operation  in
           an  expression,  and  yet  have  a  different   1.  A basket has 8 apples and 5 oranges.
           meaning in another expression.                Choose a binary operation to solve:

                                                          (a) Design a formula  for the  total
           A binary  operation  may  be denoted  by
           symbols such as  Δ and *, depending on            number of fruits, considering any

           the instructions given  for the operation.        number of fruit types.

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