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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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MATHEMATIC F2 v5.indd 60
MATHEMATIC F2 v5.indd 60 11/10/2024 20:11:47

